{"text":"Question: Sort 11, 159, 2 in increasing order.\nAnswer: 2, 11, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-288)\/(-40))\/(-12) + (-18)\/(-5). Let c = 482 + -2869\/6. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 156900205 by 14263655.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 21210, 21227, 21236, 21231, 21206, 21155?\n\"Answer: -r**3 + 2*r**2 + 18*r + 21191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -428 - -458. Find the third derivative of -192*c**2 - a*c**6 - c**6 + 3*c**6 wrt c.\nAnswer: -3360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 1, h: 5, q: 5}. Give prob of sequence qehq.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4*(-12)\/(-224))\/((-231)\/770)*7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -13, 4 in ascending order.\nAnswer: -13, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 3, s: 1, z: 2, j: 4}. Give prob of picking 3 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1527 and 474987?\nAnswer: 241768383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 16*d**4\/7 + 68*d**3 - 122*d**2\/7 - 60*d\/7 = 0.\nAnswer: -30, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1970*w + 1973*w - 8166 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**7*l*l**15*(l*l\/l**(-2\/13))\/(l\/l**7) assuming l is positive.\nAnswer: l**(405\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 2*j + g + 1, 5*j + 2*g + 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2 + (96\/(-3) - -3). Let p be 10*1\/(-3)*f. Suppose -p = -0*s - 5*s. Solve 4*j - s = -5*y, 2*j + 6*y - y - 14 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of -j**3\/6 + j**2\/2 - 5*j. Let y(u) = u**2 + 11*u - 12. Let r(a) = 22*k(a) + 2*y(a). Factor r(d).\nAnswer: 2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -n**2 - 7*n**2 + 8*n**2 + 5*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-265)\/848)\/(295\/(-3068)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 1 = -5*v + 26, -3*c = 4*v - 16. Is v at least -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**2 + 7272224*v + 3305327619136.\nAnswer: 4*(v + 909028)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-42*1)\/(((-9369)\/4858)\/(-6*(-2)\/(-14)))?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 148.9 - 149. Put 2, -0.2, g, 2\/11 in increasing order.\nAnswer: -0.2, g, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k - 8*k = 0. Let q = 8.379 - 6.379. Which is the closest to -7? (a) k (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6007*n = 5947*n - 120 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 3, 5, 0.05 in decreasing order.\nAnswer: 5, 3, 0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 542084610.\nAnswer: 2, 3, 5, 17, 1062911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5572302 - -9762302. What is p rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6552048 not equal to -0.59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-126)\/56*(-8)\/6. Suppose -u + 5*s - 4 = 1, -2*s = -4*u + 16. Suppose u*d + c*f = 17, -d = -0*d - 2*f - 6. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from hhhjmbhhwhwjbhh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*u - 13 = 16. Let c = 7 - 10. Is c - -3*127 - u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 14\/10 + (-4)\/10. Let u be (-2)\/(-2 - (-1)\/t). Let r be 8\/(-12)*-3 - -2. Solve 4*f - 22 = 5*z, -2*f - u*z - 3*z = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t + 1. Let i(k) be the third derivative of k**3\/6 - 2*k**2. Give -3*i(l) + 2*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of u**4\/2 - 2*u**3\/3 - u**2\/2 - u + 6. Let h be c(2). Let z(n) = n**3 - 5*n**2 - 2*n + 6. Calculate z(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7413 is divided by 1116.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 y, and 2 v when four letters picked without replacement from vwywfwv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 + 5. Let a = -17 + i. Solve 0 = a*p - 3 + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 3*z**3 + 18*z**2 - 12*z - 9. What are the prime factors of h(5)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 60 + 1152. What is the remainder when r is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 77, 182, 363, 620, 953, 1362?\n\"Answer: 38*g**2 - 9*g + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -2*l**3 - 3*l + 2. Let t be r(1). Let f be ((-9)\/(-6))\/(t\/(-6)). Suppose 7*o + 21 = 4*o. Sort 1, f, o in ascending order.\nAnswer: o, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 5*x + 106 = 0, 4*x - 213 - 18 = -5*v. What is the least common multiple of 258 and v?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -70*n + 2054. Let z be i(29). Solve -7*y + 3*y - 4*v = -z, v - 4 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1155 divided by -1185?\nAnswer: -77\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -672*f**3 - 10*f**2 - 3*f - 3. Let m(h) = 224*h**3 + 3*h**2 + h + 1. Let w(x) = -7*m(x) - 2*r(x). Suppose 3*v - 1 = 4*v. Is w(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-477)\/(-630) - (21\/15 + -2). Let v = 13\/7 - y. What is g in -3\/2*g**4 + 1\/2 - v*g**5 - g**3 + 3\/2*g + g**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1295980351 to the nearest integer?\nAnswer: 36000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 8 = -2*h. Let x = 1 - 5. Let w = x + 6. Is w less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 435221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x + 3*w - 31, 0 = -3*x - 5*w - 14 + 9. Suppose -t = 3*z + 2*t + 3, 2*z - 8 = 3*t. Let m = 4 - 3.8. What is the biggest value in z, x, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 15\/1*(-2)\/(-3). Let h be 6\/(-15) + (-34)\/(-10). Suppose -3*k = h*p + p - 135, -p + 50 = 4*k. What is the highest common divisor of p and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-6)*(0 + 1). Let n = 19.2 + -15.2. Which is the nearest to 0.1? (a) l (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 59933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14601 - -77872. Let x = s + -33273. Suppose 2*f - 3*a + 2*a - x = 0, -a = -2. What is f rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oooo when four letters picked without replacement from zozozzoozz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g**3 - 3*g**2 - 13*g + 32. Let w be m(6). Suppose 0 = -w*b + 275*b + 204. Calculate the highest common divisor of b and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12427 = 3*c - 734*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -413 - -413.7. Which is the second biggest value? (a) y (b) 3 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmvlvcllvvccvcmmcmll. What is prob of picking 2 c and 1 l?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(70)\/(sqrt(20)\/sqrt(2)) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - -6521?\nAnswer: 651f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 9013270 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 725684680 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1242 + 167*k - 493*k + 162*k + 162*k.\nAnswer: -2*k - 1242","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -5*o**2. Let t(q) = 342799*q**2. Determine t(g(k)).\nAnswer: 8569975*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 18223 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: Four letters picked without replacement from {l: 7, y: 2, b: 6}. What is prob of sequence lbyb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b**2 - b**2 - b**2 + (-1 - 1 + 3)*(3*b**2 + 0*b + 0*b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8963039749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -38 - -31. Let g be (-14)\/(-49) + 2\/q. Suppose s - 4*m + 6 = g, 0 = s - 3*s + 3*m + 8. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 378 and 48?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - -25)\/((-4)\/260*-65).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -4411015898 + -3?\nAnswer: -4411015901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, y: 3, r: 2, u: 3, m: 1, c: 1}. What is prob of picking 1 d, 1 r, and 1 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 932189051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -4*c**2 - 4*c**4 + 54*c**3 - 15*c**3 - 14*c**3 - 23*c**3 as v*c**3 + m*c**4 + y*c + g*c**2 + j and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*v + 5*c + 14 + 20, 0 = 5*c + 10 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10b7 + -1?\nAnswer: -10b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**2 + 4*r**2 - 3*r**2)*((2 - 4 + 4)*(2*r - 2*r + r) + 17 - 17 - 5*r) - 5*r**3 + r**3 + 3*r**3 + (-1 + r + 1)*(6*r**2 - 4*r**2 - 4*r**2).\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28 - -32. Suppose 0 = g + 2*w + 203, u*g - 4*w + 527 + 237 = 0. Let x be 3\/7 - g\/35. Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*z + 20 = 8*z - 5*b, -3*z + 3*b = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 = 2*o - 4*w, -91*o + w + 31 = -95*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -175 - -175. Solve 3*o - 3*h + 15 = n, 5*h + 7 = -2*o + 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqy. What is prob of picking 1 y and 1 q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 1 = a. Suppose -2*t - t + 48 = 0. Suppose -a*x + t = -x. Solve 5*c + 0*m - x*m - 21 = 0, -2*m = -5*c + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/182)\/((-1084)\/70460)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of j**4\/4 - 10*j**3 - j**2 + 63*j + 124. Let w be l(30). Factor -x**2 - 5\/3*x + 25\/9 - 1\/9*x**w.\nAnswer: -(x - 1)*(x + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2414995, -4829994, -7244993, -9659992, -12074991?\n\"Answer: -2414999*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -3*-0.1648\nAnswer: 0.4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**3 - t**2 + 4*t - 1 + 6*t**2 - 2*t**3. Let l be m(5). Suppose -l = -6*g + 3*g - o, 13 = 5*g - 3*o. Put g, -5, 1 in increasing order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/7*f - 2\/7*f**3 + 12\/7 - 12\/7*f**2.\nAnswer: -2*(f - 1)*(f + 1)*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 137809762?\nAnswer: 2, 68904881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4789096 is divided by 11242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 2, 5*p - 3755 = -3*u - 1434. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 7941646 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, i: 5, a: 7}. Give prob of sequence aie.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -476, -951, -1426, -1901, -2376?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-39 + 70 - 1)*(-2*o**4 - 3*o**4 + 3*o**4) to the form l + a*o**4 + f*o + z*o**2 + j*o**3 and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 0*u**3 + 3*u**2 + 5*u**2 - u**3 - u**3 as m + o*u**2 + r*u**3 + n*u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10002102 + -10012000?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-12) - 14\/(-3). Solve -1 = p*c - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4415 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -0.3 (b) -2 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 35*o + 7. Let r(p) = -384*p - 76. Suppose d + 17 = -15. Let n(u) = d*v(u) - 3*r(u). Let c be n(7). What is c rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - ((-1)\/(-2) + 9\/(-6)). Is 25 a factor of 350\/(3 + (i - 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 - -36. Let q be 30\/n*(-4)\/(-6). Solve -v + q = -4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -8774*v. Let w(n) = -7*n. Determine y(w(a)).\nAnswer: 61418*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 8 minus 14927?\nAnswer: -14919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*k*v - 4477*k - 185565*v - 1 wrt v?\nAnswer: 2*k - 185565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of 1\/60*b**6 + 0*b**5 + 0*b**4 - 5*b**2 + 0*b - 2\/3*b**3 + 0. Differentiate s(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 969.631 millilitres to litres.\nAnswer: 0.969631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4704911945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(175))*-6 + 5 + -1.\nAnswer: -30*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 24122532 (base 6) to base 12\nAnswer: 306448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 8 + -10 - (-3 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 70 = -3*j + i, 2*i = -2*j + 70. What is the tens digit of 58 + j\/(-20)*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 19 - 7. Let h be (72\/7)\/((-18)\/(-84)). What is the highest common divisor of c and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 9*c - 3*c + 3*c - 5 + c**2 - 2*c**2. Let h be s(8). What is the nearest to -0.1 in h, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**3 - 9*v**2 + 14*v - 27. Let d be g(-12). Let i = 299 - d. Calculate the remainder when 308 is divided by i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 4 = 3*x. Suppose -x*k - 2*d = 10, -k + 0*d - 15 = 3*d. Factor -1\/4*z**4 - 1\/4*z**2 + k*z + 0 + 1\/2*z**3.\nAnswer: -z**2*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 3 = -4*y - 5, 3*v + 3*y = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -235*m + 2. Is i(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes before 12:01 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -74*l**2 - 6*l - 3 + 10 + 138*l**2 + 4*l - 65*l**2. Calculate b(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -83 + 80. Which is the smallest value? (a) l (b) 4 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (5 + 11 + -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -143 + 144.07. What is q rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -11451 and -9076493.\nAnswer: -9087944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*p - 47*p + 1805 = 0. Find the common denominator of (p\/45)\/((-214)\/42 + 5) and 103\/318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4.0214733725751863 - 2149377799.0214686725751863. Let b = o + 2149377693. Let m = -102 - b. What is m rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.5, -3, 3, 652, -9.\nAnswer: -9, -3, 0.5, 2, 3, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1761.6464 - -1762. What is o rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 131\/600 and -1\/360.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -8. Let m be (3000\/(-9))\/(-10)*(-3)\/(-2). Let h be 170\/m - (-4)\/(-10). Solve -7 - q = h*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of u**3 - 25*u**2\/2 - u - 35. What is the tens digit of z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.815*-217447.\nAnswer: -612113.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -i - 4*t, 8*i - 20 = 4*i - 4*t. Sort 2, i, -4.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**3 - 8*g**2 - 50*g - 397. What is v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 56\/1279179 and 68\/7227?\nAnswer: 1279179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 - -6bf3dd2?\nAnswer: 6bf3dcf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 43744220 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 471 + -66. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 4*l**3 - 53*l**2 + 7*l + 23*l**2 - 3*l**3 + 21*l**2 + 8. Let y be k(8). Suppose 2*d + 2 = t - y, d = 5*t - 10. Which is bigger: 3\/5 or d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*p**4\/7 + 272*p**3 - 27004*p**2\/7 + 9360*p\/7 + 2250 = 0. What is p?\nAnswer: -3\/5, 1, 15, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in sixty-one quarters of a millisecond?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -186*o**3 - 31*o**5 + 186*o**3 + 19*o**2 wrt o.\nAnswer: -1860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 38976, -7, 2\/7 in decreasing order.\nAnswer: 38976, 2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 4930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3\/72*(-24)\/42*-4\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-13 - 10088\/(-960)) + 5\/2. Let c(i) be the third derivative of 0 + 1\/10*i**5 + p*i**6 - 1\/24*i**4 + 1\/6*i**3 + 0*i + 2*i**2. Determine c(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -497 - -486. What is the closest to -2 in -3\/4, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1470*m**2 - 32*m**3 - 1470*m**2.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/(-7) + (-5)\/(-7). Let g be t*(-1)\/4*1. Suppose -5*d - 2*s = -20 + 7, 0 = 3*s - 12. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, m: 4}. What is prob of sequence mcm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 830.9 rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -66982 at most -66983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/(-3))\/((-6)\/126). Suppose k*p - 4*p - 363000 = 0. What is p rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000419 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7533*j + 7902*j**3 + 7533*j.\nAnswer: 7902*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 72*l - 275. Let v be q(4). Solve -5 = 5*z + 2*g, -v*g + 9*g + 20 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + 1 - 78765\/(-9790)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j, 1 r, and 2 v when four letters picked without replacement from {j: 1, q: 3, v: 7, o: 2, r: 7}.\nAnswer: 49\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -4*w**3 + w**3 + w**2 - 4*w**2 + 1 + 5*w**3. Let i be c(2). Factor -2*g**4 + 4*g**3 - g**2 - 2*g**i + g**2.\nAnswer: -2*g**3*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-488)\/61*(-3)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1057.892535s in weeks?\nAnswer: 0.0017491609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of 9180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -76 + 74. Let g = 5 + 2. Let n = 8 - g. What is the nearest to u in n, -2\/5, 2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14179951 and 159813?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 5*v**5\/7 + 2*v**4\/7 - 30*v**3\/7 - 52*v**2\/7 - 31*v\/7 - 6\/7 = 0. Calculate v.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -134 + 59 = 25*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -16*a + 150. Let t(g) = 51*g - 449. Calculate -6*t(n) - 19*w(n).\nAnswer: -2*n - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 363451804491 and -109?\nAnswer: 363451804600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -4 + 2 + o + 4 - 7. What is the units digit of h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 113475 and 4250?\nAnswer: 1134750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1c (base 15) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109*q + 78120 = 24*q - 83*q. Which is bigger: 0.06 or q?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*k**2 - k**2 + k**2 - k**2 + 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -1 + (-34 - 65) + (1 - -8).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/17, -0.3, -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13213 is divided by 61?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {m: 1, c: 3, n: 1, l: 5, h: 3, u: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 288 and 1224?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3181*u - 3179*u + 1 - 11. Calculate x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(1700) + (sqrt(1700) - sqrt(1700)*1) + -5 - sqrt(1700))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8*(-3)\/(-24)*-4. Put -131, b, 2 in decreasing order.\nAnswer: 2, b, -131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3288 is divided by 652?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 124153 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -140521 (base 6) in base 4?\nAnswer: -3031201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the third derivative of -n**5\/60 - 36*n**2 + 2. Let p(v) be the second derivative of 3*v**3\/2 + v. Determine q(p(x)).\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5963 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**3 - 3*j**3 + 2*j**3 + j - j - 2*j**3 + (2*j**2 + 0*j**2 + 0*j**2)*(-j - 2 + 2) + 2*j**3 - j**3 + j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 + 0)*(-p + 0*p - 3*p) + p - 14*p + 2*p + (-2*p - 2*p + 3*p)*(-1 + 2 + 1) + 0*p - p + 3*p to g + j*p and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 AM and 6:46 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*d - 13*d + 740 = -3*o, -2244 = 3*d + o. Let g = -693 - d. Do 55 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22921637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n + n - 2*n + 1 - n - 1 + (3 - 5 - 1)*(0 + n + 0) - 2*n - 2*n + n)*(15*n + 9 - 33*n + 21*n + 2*n**2).\nAnswer: -24*n**3 - 36*n**2 - 108*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 101101101100001 (base 2) to base 5\nAnswer: 1222033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of 9*r**5\/80 + r**4\/4 - 5*r**3\/8 - 3*r**2\/4 + 8*r + 6. Let p(h) be the first derivative of t(h). Let p(c) = 0. Calculate c.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v + 12. Let m be n(6). Let q = 12 - 5. Let g(x) = x - 4. Let k be g(q). Which is greater: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 3*k + 826, -90*v + 87*v - 576 = 2*k. Which is greater: k or -1416\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 5*m - 12 = 0. Let n = m - -10. Let i = -748 - -752. Solve -n*v = -3*y - 21, i*y + 7 = -2*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (105\/20)\/((-129)\/(-430)*(6\/(-4))\/3)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 7, -2, -69, 0.4, -0.5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 13 (base 10) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 + 0. Let v = 0.038 - -29.962. Let h = -30 + v. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*n = 18*n + 3*z - 14, 0 = -5*n + z - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 11 = 1. Suppose -5*k - 3*w = -t, 3*w = -2*k - w + 10. List the prime factors of k\/(-2) + 18\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17939 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -20 + 21.1. Let s = a + -14.1. Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -12 (b) -198709 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.02, -4, -21 in decreasing order.\nAnswer: 0.02, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sonsvjn. Give prob of sequence no.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/6*3*(-165)\/315*(-12 - -9).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -5 + 14. Let h be (2 - 2)*3\/m. Let f = h - 4. Let w(c) = -c**3 - 3*c**2 + 5*c + 5. Give w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/(-5))\/((-4)\/40). Let g = -487 + 489. Solve 0 = 2*c - z*c + g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4752*b + 5 + 9509*b - 5 - 4746*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3568700723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 836024011.\nAnswer: 17, 49177883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0488 + 0.3512. Sort 1.1, t, -2, 2.\nAnswer: -2, t, 1.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 + -2. Let g = s - -2. Let h = 4.3 - g. What is the smallest value in 2, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (99\/22)\/((-2)\/(-4)*(-20)\/20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -665*n + 266 = -399*n. Let z = -0.2 - -0.1. Which is the second smallest value? (a) -0.3 (b) z (c) n (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -5*r**2 + 2*r - 13. Let d be a(3). Let v = 53 + d. Which is bigger: 4\/39 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1501066 and 418117.\nAnswer: 2597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 - 2*r**2 + (r - r - 2*r)*(-2*r + 4*r + 0*r) + 2*r**2 - 5*r**2 + 0*r**2 + (r - 3 + 3)*(-11*r - 3*r + 6*r).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 + 11*q + 11. Let b be k(-10). Suppose -23 = -3*c + 5*o + 20, -c + b = o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2301 - -2304. Suppose -6 = 2*v + v. Let u be v\/(-28)*(7 - 3). Which is greater: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the second derivative of o**4\/12 + 2*o**3\/3 + 3*o**2\/2 + 2*o + 11. Let m be h(-1). Let w be 85\/90 + 1\/6. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 299313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.162 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -g + 3*g**5 + 2*g**5 - 4*g**5 + (-g - 3*g + 3*g)*(2*g**4 + 2*g**2 - 2*g**2) + 2*g**5 - 2*g**5 + 2*g**5.\nAnswer: g**5 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of 3*m**7\/14 + m**5\/2 - 17*m**4\/2 + 707*m**2 + 2. What is the second derivative of r(d) wrt d?\nAnswer: 540*d**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3630943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-33)\/(-22))\/(3\/4). Find the third derivative of 41*x**t + 32*x**5 + x**2 - 11*x**2 + 19*x**2 + 0*x**5 wrt x.\nAnswer: 1920*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r. Let v be d(-2). Let y be 166\/(-7) + v + -1. Let p = 23 + y. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6 times -0.001837766\nAnswer: 0.0011026596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/171 and -79\/152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1249 = 5*k - 2*s, k + 759 = 4*k + 2*s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2578 is divided by 1149.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -50 + 50.4. Let k be 10\/(-8) - 1*-1. Which is the second biggest value? (a) y (b) 0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 686 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6\/7 (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -187322.8 and -209108629.\nAnswer: -209295951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 582078 is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (39\/(-12))\/(18\/108*(-3)\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {u: 4, b: 1, w: 5}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the second derivative of -h**4\/3 - 5*h**3\/2 - 3*h**2 + 9*h. Let v be g(-3). Solve 5*j = v*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2*v**2 - 33*v + 321. Calculate z(25).\nAnswer: -1754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 5*t - 102, 2*t = -2*y - 3*t - 36. Let x = 24 + y. Suppose z = 3*z + 3*k - 21, 0 = -5*z + 3*k. Sort -4, z, x, -2 in descending order.\nAnswer: z, x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -357*l**2 + 492*l + 1. Let a be t(1). Solve 2*j + 2*u = 126 - a, 2*j + 4*u = -18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p + 6. Let f(b) = -b + 1. Let a(w) = -2*f(w) + o(w). Let c = -7 + 4. Give a(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 4, j: 2, r: 3, c: 2, s: 8}. Give prob of sequence js.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qbjzzezjzqzzqzqz. What is prob of picking 2 z, 1 j, and 1 q?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1152321*d**4 - 4418*d - 40.\nAnswer: -13827852*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/7)\/(306\/(-378)*3).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2208143554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -j = 3*q - 22, 5*q - 44 = 69*j - 67*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -43.24 + 35. Let m = d - -0.84. What is m rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2405672785.\nAnswer: 5, 59, 8154823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 172788 and 12342?\nAnswer: 172788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 48749*o**3 + 6*o**2 - 7*o - 2. Let b be u(2). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - 5) + 16 + 55 + -23\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4860*u**4 + 4860*u**4 + 8941*u**2 - 2233*u**6 - 936*u**2 wrt u?\nAnswer: -267960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 17, n: 1}. What is prob of picking 2 y and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + -3. Let z be (2\/(-8))\/(i\/24). What is the remainder when 23 is divided by (182\/(-7))\/(z*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = 5*p + 3*d + 50, 0 = -p - 2*d - 9. Let h = -9 - p. Suppose 32 = h*c - 42. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9120 and 312816.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of (-2 - -66)\/((-78)\/(-1443))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -12, -0.8, -5\/4, 1, -1 in descending order.\nAnswer: 1, -0.8, -1, -5\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 3*q + 23. Let g be s(-7). Let a = 471 - 474. Sort g, 3, a, -2 in decreasing order.\nAnswer: 3, g, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 33 = q, 2*u + 628181*q - 628178*q - 49 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, 1\/4, 7247, 16, 1\/9 in increasing order.\nAnswer: 1\/9, 1\/4, 2\/5, 16, 7247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 332581201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -101121021220 (base 3) to base 12.\nAnswer: -a0943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11368 divided by -7.\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 37 = 5*o, s - 5*s = -2*o + 26. Let p(n) be the third derivative of 1\/24*n**4 + 1\/6*n**3 + n**2 + 0*n + 0. Calculate p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the first derivative of b**4\/4 + 14*b**3\/3 + 18*b**2 + 32*b + 2835. What is c(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 6*n**2 + n - 1. Suppose 4*u + 23 = 43. Let y be j(u). Suppose 2*o - 3*o + y = 0. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 501 is divided by 355.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (3 + -244)\/(-2 - 42\/(-24)).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 53295172 and 1652.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -420 divided by 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -5\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = 3*o + 24, 2*o = 3*o + f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of -n**2 - 1. Let x be (-22)\/(-99) - (-50)\/18. Let r(c) = -x + 6 - c - 3. Give r(a(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -13 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from ybzzzbzbllzzblbzb?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22497.\nAnswer: 3, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, -6\/5, -6.03, -3, 43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -3*o**3 + 3*o**2 - 7*o + 5. Let r(n) = n**2 - n + 1. Let f(y) = 3*y - 19. Let k be f(6). Calculate k*a(u) + 5*r(u).\nAnswer: 3*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -82281.433 to the nearest 10.\nAnswer: -82280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.4 + -5.741\nAnswer: -6.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - d = -9, 14 = 4*d + 2. Solve w*m - m - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 - 6*g - 4. Let m be i(-4). Suppose 5*v = -m*k + 30, 7*v + 2*k - 16 = 4*v. What is the smallest common multiple of 21 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1980.6 - -1682.82. Let d = a - -301. Let x = -3.2037 + d. Round x to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 + 2*f**2 - 16*f. Let g(s) = -6*s**3 + 11*s**2 - 80*s. Let x be 22 + 6 + 85\/(-5). Determine x*y(n) - 2*g(n).\nAnswer: n**3 - 16*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - g + 2*m = 9, m + 9 = 2*g. Solve 0 = 4*t - x - 8 - 9, 0 = -4*t + g*x + 19 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -792 or -791?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 341, 354, 379, 422, 489?\n\"Answer: s**3 + 6*s + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 - 91*u + 1890. Let y be l(59). Are y and 168\/103 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-66 - -73)*(-6)\/(-7). Suppose 4*a = -k + 15, 6*k - 4*a = 2*k + 60. Suppose -12*q = -k*q + f. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12.734 + 45263645?\nAnswer: 45263632.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 4\/9*g + 2\/9*g**3 + 0 + 2\/3*g**2 = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2493 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 5*r**2 - 9*r + 2. Let p be y(2). Suppose 4*v - 4*n = -16, v - 3*n - 20 = -8*n. Suppose v = k + 2*k. Solve p*o = -k*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 302363.5994 - 301391.9. Let j = 971 - n. Let q = 0.71 + j. What is q rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 45*w - 50*w. Suppose 5*m - 10*m + 2080 = w. Suppose 4*t = 300 + m. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*h = 62*h - 315 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1378947 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 3*m - 23, 2*m - 2*z = 19 + 13. Suppose -m = -4*j + 5. Find the third derivative of 7*o**j + 3*o**2 - 3*o**4 + 0*o + 0*o wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, i: 4}. What is prob of sequence bibb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 531*m + 592 = -535*m, -3*f + m + 442 = 0. Solve 143*j - f*j - 3*y = 9, -3*y = 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2*t**3 - 4*t**2 - 718*t + 29. Give w(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7)\/(-28) + (-295)\/(-4). Suppose 5*b = 226 + c. Let z = -29 + b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4533 is divided by 76.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -94319, -189263, -284207, -379151, -474095?\nAnswer: -569039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19*-233.\nAnswer: 4427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12646 or 12616?\nAnswer: 12646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = a**4 + a. Let u(t) = -42*t**4 - 9*t - 3. Let d(h) = -2*u(h) - 18*y(h). Differentiate d(x) with respect to x.\nAnswer: 264*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/6)\/((-16)\/96). Suppose -7*b + 659 = -5*b - x, 5*b = -z*x + 1655. Calculate the greatest common divisor of 198 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48045 is divided by 490.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = 95 + -156. Let s = l + 66. Suppose s*a = -5*j + 375, -3*j + 4*j - 75 = -5*a. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 354*p*s**2 + p*s + 18*p + 5 wrt s.\nAnswer: 708*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -88 - -353\/4. Let l = -3.04 + 23.05. Let z = -20 + l. What is the nearest to -2\/7 in z, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 51 = -11. Let a(y) = -y**2 + 7*y + 11. Let w be a(n). Solve -w*d - 10 = -l, d + 3 = -l - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 4 - 16, 0 = -2*m - 4*b + 8. Let f = m + 7. Suppose t = -2*k + 59, 137 = f*t - 0*t - 4*k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -178 + 359 - 5*k**2 + k - 185 in the form l + p*k + b*k**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the second derivative of -b**7\/7560 - b**4\/3 + 2*b. Let j(g) be the third derivative of v(g). Determine u so that j(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 7, 69, 165, 289, 435, 597?\n\"Answer: -c**3 + 23*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1273977346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 27232546207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -483*n**2 + 745*n wrt n.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 4}. What is prob of sequence eeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -n**2 + n - 2. Calculate t(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -47, -125, -275, -521, -887?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7.7 + -12.6. Let g = 4.89092 + n. What is g rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v + 7. Let h be 4269\/57 - 4\/(-38). Suppose 10*y + 15*y = -h. Give p(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 12. Let q be w(0). Solve j = -2*j + q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 994949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6062 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 8, 24, 52, 98, 168?\n\"Answer: q**3 + 9*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8, -31, -60, -95, -136, -183, -236?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 + 9. Suppose -q = 2*s - 8. Suppose 2*f - 7*n - 60 = -3*n, 75 = s*f - n. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13\/(156\/20))\/((-5)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 - 24\/(-6 - -3). Let g = 0.38 - 0.08. Sort t, -6, 1, g in decreasing order.\nAnswer: t, 1, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 7*b - 3. Suppose 4*q = -4*l, -5 = 2*q - 2*l - 1. Let h(c) = c. Let i(z) = q*v(z) + 6*h(z). Let d be i(3). Which is greater: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 220*y**2 - 6*y + 3. Let v(r) = 2*r**2 - 2*r + 1. What is -h(j) + 3*v(j)?\nAnswer: -214*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -101, -151, -215, -299, -409?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l - 9. Let a be -3 + 5 - 1*2. Let d be u(a). List the prime factors of 3\/9 - 87\/d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 414 minutes after 4:38 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35518683?\nAnswer: 3, 11839561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 381055 = -4*b, -3*b = -8*l + 3*l + 285783. Suppose -2*r - r - 186798 = 0. Let f = r - b. What is f rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j**2 + 2*j - 1. Let b = -7 - -10. Suppose 3*h + 24 = -5*n, -2*n + b*h = 1 - 4. What is the units digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4808980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.907 + -0.057. Round j to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.19, -3.5, 2\/3, 5, 2\/11?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 26203487 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3842?\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**2 + 7*o + 4. Let k be d(7). Let f be 674\/k + (-8)\/16. Suppose -f = -4*p + 5*g - g, 2*p - 3*g = 86. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6.176138797 take away -0.1054?\nAnswer: -6.070738797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l. Let t(o) = -1913558157*o**2. Calculate t(m(k)).\nAnswer: -7654232628*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 286817023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a + 20 = 0, -a + 10 = y + 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.80808 from 0.12336.\nAnswer: 0.93144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 18*p + 4. Let x be j(-18). Suppose -l = -2*v - 966, x*l + 2*v - 1920 = 2*l. What are the prime factors of l?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the third derivative of -f**5\/60 + f**4\/3 - 3*f**3\/2 - 16*f**2 + 1. Let b be u(6). Solve -b*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -8225 (base 10) to base 4\nAnswer: -2000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -500?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 20 + -51 - -49.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -457774 times 0.1?\nAnswer: -45777.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*d**2 + 8*d - 4*d - 6*d)*(4 - 3 + 1) - d - 2*d**2 + d in the form o*d**2 + a*d + z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -n**6 - 8716*n**4 - n**6 + 7*n**2 - 3*n + 8712*n**4 wrt n.\nAnswer: -240*n**3 - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 399581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 62404617 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -113 - -49. Let f = 64.00074 + s. Round f to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor t**2\/5 + 6*t + 45.\nAnswer: (t + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 80 + -77. Let z(d) = 4*d**2 - 4*d + 2. Calculate z(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 130116, 253760, 377406, 501054, 624704, 748356, 872010?\nAnswer: 995666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 + 5*w. Let k(z) = z - 2 + 0 + 2. Give 9*k(g) - 2*t(g).\nAnswer: 2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5889, 23535, 52945, 94119, 147057, 211759, 288225?\nAnswer: 376455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, j: 2, t: 7, c: 1, p: 4}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*p**4 - 12*p**3 - 78*p**2 + 136*p - 24.\nAnswer: 2*(p - 2)**2*(p + 3)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by -11466.\nAnswer: -1\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - k**3 + 7*k - 7*k - 1 - 3*k**2 in the form t*k + j + h*k**2 + x*k**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/(2\/(-6)) + -3. Suppose 2*a = 2*r, r = -a - 2*a + 8. Suppose 0 = a*n + 8, s - 4*n - n - 22 = 0. Solve o*d = 2*d - s*h + 6, -5*d = -h - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/792 and -6 + (-380)\/(-60) - 111\/440.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.016 + 86.984. Let d = n - 85. Let s be -2*1\/(-3)*-1. Which is the third biggest value? (a) 4\/3 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2*((-25)\/10 - 4\/(-2)). Let s be ((-36)\/(-20) - 3)\/(c\/(-5)). Let x = 1258\/3 + -424. Is s > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1\/36))**(-34) assuming o is positive.\nAnswer: o**(17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1.78 - -0.78. What is the closest to d in -0.1, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the first derivative of -y**6\/14 - 3*y**5\/7 - 3*y**4\/4 - 3*y**3\/7 - 135. Find r such that v(r) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0.08, -6, -0.1, -3, 1 in increasing order.\nAnswer: -6, -3, -2, -0.1, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 53 + -20. Suppose 9*w - 6*w + 2*a = 21, -4*a + 35 = 5*w. Solve -w*f + p - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*f = -20*f + 11*f + 164. Sort 741, f, -5 in descending order.\nAnswer: 741, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 213351 (base 11) to base 6\nAnswer: 11151231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1636.528 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 - 3*f - 5. Let u be q(5). Suppose -u*b + b = -5204. Let k = -7775\/6 + b. Calculate the common denominator of 17\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 1:24 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1248.05 - 1274. Let h = 3.32 + 22.68. Let u = h + l. Put 2, -0.3, u in decreasing order.\nAnswer: 2, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-70 + 16)*(-3)\/6. What is the greatest common divisor of u and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -71.792 times 0.102\nAnswer: -7.322784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 21, -1095, 36 in decreasing order.\nAnswer: 36, 21, -5, -1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {a: 2, y: 2, n: 3, z: 4, t: 3, c: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -37.7 - -24.7. Sort f, 0.2, 0.4 in descending order.\nAnswer: 0.4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69305 is divided by 269.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y - 3*y + y + 7*y - 34.\nAnswer: 3*y - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 642\/90 + -3 + (1 - 5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*p**3 + 74*p**2 - 143*p**2 + 69*p**2 - 2.\nAnswer: 10*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1 (b) -7\/6 (c) 1 (d) -1\/6 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 262 and 35448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 215646361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -3 + 1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(228)*-1*1*-5*5)\/(sqrt(768)*2*4 - sqrt(768) - (-1*sqrt(768) + sqrt(768))*-6))**2.\nAnswer: 106875\/3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*u**2 - 76*u**2 - 178*u + 185*u.\nAnswer: -88*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + (88\/(-7))\/((-42)\/147). What is the greatest common factor of n and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -150.7, 23, -7, -3?\nAnswer: -150.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39750 divided by -7950.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 134 = -4*w, -3*p - w + 250 = -130. 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: Suppose 5 = 2*h - 13. Calculate the greatest common divisor of h and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*x - 121 - 1007 + 1437 - 157 - 152.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -2*a**5\/19 - 16*a**4\/19 - 26*a**3\/19 - 12*a**2\/19 = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2765, -2767, -2775, -2789, -2809, -2835?\nAnswer: -2867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.488927 years to months.\nAnswer: 89.867124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 + 12. Let i(w) = -3*w**2 - 5*w - 3. Let p be i(-2). Let s = d - p. Solve -2*l + s = 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*p - 6*p - 20. Is 4 a factor of -5*(p\/(-4) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*i - 343*i - 43617 = 27*i for i.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the third derivative of -r**6\/60 - r**5\/15 - r**4\/24 + r**3\/2 - 46*r**2. Let m be v(-2). Solve 0 = h + 3, d - 4*d + m*h = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 15 in 2, 0.2, -38, -0.7, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 176 - 6*m + 2*m - m - 175. Suppose 0*c + 3 = -3*c. Is p(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 AM and 10:03 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18414 + 9\/9 + -9. Suppose 8 = -5*v - 12, -2*q + b = -v. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 168, -0.4, 5, -26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 508 = i + 2*t, -988 = -2*i - 3*t. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -40, -50, -58, -64, -68?\n\"Answer: u**2 - 13*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -5*o - 4*m + 401, 3*m = -15. Let j = -59 + 85. What is the highest common factor of o and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nqzqnznzzqzzzznz. What is prob of sequence qnq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -4*f + 20, 5*k + 7 = 2*f - 3. Suppose 2*t - 5*h = 140, 3*h = -4*t - k*h + 228. Let s(u) = -u**2 - 60 + t. Let p(j) = -j. Give s(p(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -25 + 30. Suppose -2*f + 0*n - 3*n - 1 = 0, -1 = n. Sort r, f, -0.3 in decreasing order.\nAnswer: r, f, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s + 18 = 4*s. Let r be (6\/18)\/((-2)\/s). Solve -5*k = -6 + r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76*w + 11*w**3 - 148*w + 72*w.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, k: 2, x: 4, a: 1, m: 2, u: 1}. What is prob of picking 1 x and 1 y?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 5 + 0)*((0*q - 2*q + 0*q)*(-4 + 1 + 1) + 2*q + 3*q - 4*q - 4*q - 2*q + 4*q) - 2 + 4*q + 2.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 + 3. Let w be v(-4). Let b = -10 - w. Let d be ((-28)\/(-12))\/(1\/b). Solve -5*a + d = 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6332036 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 69 - 68. Suppose -3*c + 5 + v = 0. Let 3*n**c - 3*n**4 + 5*n**5 - n**5 + 2*n - n**3 - 5*n**5 = 0. Calculate n.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1309 by -77.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -3*k - 1. What is the remainder when (45\/20)\/((-9)\/(-384)) is divided by m(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3d + -d3e0e?\nAnswer: -d3dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(3\/4)\/d*d**(-1\/6)*(d**2)**(-1\/34))\/(d**6*((d\/d**(-8))\/d)\/d)**14 assuming d is positive.\nAnswer: d**(-37225\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-949)\/(-4 - -5)*-1. Suppose 11*n - 580 = x. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1f (base 16) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -2*r + 13. Let j(u) = -2*u**3 - 11*u**2 + 3*u - 9. Calculate the least common multiple of j(-6) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(-1\/4))**(17\/6)\/(d**0)**49*((d\/(d\/(d*d**(1\/4))))\/(d*d**(-2\/5)))\/(d**(-2\/3)\/d**3) assuming d is positive.\nAnswer: d**(773\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 5*s + 29 = 0, 0*s - 16 = -r + 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 55\/4 of a micrometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 257527 = 3*s, -459263 = -5*s - 3*b - 30051. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -243*z**5 + 7505*z**3 - 39289942*z**2.\nAnswer: -14580*z**2 + 45030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = 4*l - 40, 13 = -3*j - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.06, 1, 3\/5 in ascending order.\nAnswer: -0.06, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.41381585 to two dps.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(57) - sqrt(228))*6)\/(-4*(sqrt(3) + sqrt(6)\/sqrt(2))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**3 - 11*o**2 - 8*o - 2. Give h(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-21)\/(-9) + -2)\/(2\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -11 + 15. Suppose -5*s + 68 = a*j, 56 = 5*j - s - 0*s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = 144*l**2 + 32*l. Let b(s) = -13*s**2 - 3*s. What is 32*b(k) + 3*u(k)?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-77 - -45) + 20 + (13 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 6*f**2 - f**2 - 3*f**2 - 1 + 2*f - 3*f. Let h be c(3). Differentiate -h + 13 + 7 + 5*b wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 28*v**2 - 2*v. Let h(a) = 4*a**2. What is h(d(c))?\nAnswer: 3136*c**4 - 448*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**2 + 6*d - 2. Let v be u(4). Let b(r) = 105*r**2 - 91*r - 91. Let o(z) = -7*z**2 + 6*z + 6. Give v*b(a) + 91*o(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -47*v - 66. Calculate f(5).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, 25, 55, 103, 175, 277?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the third derivative of s**4\/4 - 141*s**2. Let m(v) = -v. Suppose -5*u = -5*h - 17 - 3, 0 = 4*h - u + 1. Give h*q(f) + 3*m(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be 12\/(-8)*4\/(-3). Suppose -2*z = -3*z + x. Solve -z*h - 3 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r. Let l be j(9). Let w = 3 - l. Let h be ((-150)\/18)\/((-1)\/w). What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0140983 to four decimal places.\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -7*y**3 + 7*y**2 + 6*y - 9. Let w(q) = 8*q**3 - 8*q**2 - 7*q + 8. Let d = -15 + 11. Let f(r) = d*w(r) - 5*o(r). Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 134229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 86478254 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -518 + 521. Sort -1, -6, y, 2 in descending order.\nAnswer: y, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((0\/3)\/(-3))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20 + -17. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2243)\/12*-2 - 21\/(-126). Let g be 205\/10 + (-6)\/(-4). What is the greatest common divisor of n and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 15*q**2 - 162*q - 205. Give r(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14402501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9060 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4*(((-150510)\/20)\/(-173) - (-24)\/(-2)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 72 = 7*b. Solve 3*d - 7 = -i + 5*d, -5*i - d + b = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/2)\/((-2)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 390 - 5072\/13. What is the closest to j in -3, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -90, -69, -36, 15, 90?\n\"Answer: q**3 + 14*q - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m + 3*y + 6, -m - 2*y - 1 = 2. Suppose -s - 15 + m = -4*t, 0 = -2*s + 4*t - 8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 264*p - 78*p**3 - 25*p - 238*p - 2*p**2 + 0*p**2 to the form k*p + m + b*p**3 + v*p**2 and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*s - 72*s + 2383200 = 0. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -31*c + 13. Let o(s) = 38*s - 12. Let a(y) = 4*o(y) + 5*r(y). What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*k*y**2 + 17*k*y - 59*k - 7*y**2 - 30*y - 20 wrt k?\nAnswer: 3*y**2 + 17*y - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*i**3*n**3*q + i**3*n + 2*i**3*q - i**2*n**3 + 2*i**2*n + 3*i*n**3*q + 4*i*n**2*q wrt i.\nAnswer: -30*n**3*q + 6*n + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 300\/(-1500)*10\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v**2\/5 + 1069800*v - 16046982\/5 = 0 for v.\nAnswer: 3, 2674497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 63 + -17 + -25 + -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 848867.\nAnswer: 47, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h\/(h**(4\/21)*h))\/(h\/((h*h\/(h*h**(-31)\/h)*h*h)\/h)))\/(h**(-23)*h**(-17)) assuming h is positive.\nAnswer: h**(1550\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33, -52, -71?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 525 and 124847940.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -3*q**2 - 47*q + 75. Give m(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m + 4. Suppose 0*q = 5*q + 40. Let u be g(q). Let v = 2 - u. What is the remainder when 11 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2051*c - 7 + 13 - 6 + 2053*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2. Let n be j(0). Suppose -318 = -n*f - 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.0674 not equal to -545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -124\/5? (a) -0.014 (b) 3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/23, -10.3, 0.4, -100, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -139 + 244. Suppose 0 = -2*q - 68 - 82. Let g = x + q. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -19687, -19866, -20045, -20224, -20403, -20582?\n\"Answer: -179*t - 19508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the second derivative of -a**9\/11340 - a**8\/6720 + a**7\/7560 - a**4\/6 - 2*a. Let j(z) be the third derivative of h(z). Factor j(w).\nAnswer: -w**2*(w + 1)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/2349 and 83\/609.\nAnswer: 16443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 747266298 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -12 (b) 16\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -1) + (-396)\/429.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 16048 equal to 16172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 15122, 30245, 45368?\n\"Answer: 15123*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -4*l + 3*l + 0*l - 3*l. Let v(z) be the second derivative of z**6\/120 - z**3\/6 + 2*z. Let b(j) be the second derivative of v(j). Give b(m(q)).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 838 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2837956549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2 - x + 13. What is the units digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -2452*b**2 + 5*b + 16. Let m(i) = -613*i**2 + i + 4. Let g(w) = 6*h(w) - 22*m(w). Let r be g(-14). Round r to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*c - 10 = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56*g**2 + 53*g**2 + 49*g**2 - 2*g + 2*g - 152*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirteen fifths of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n, 1 j, and 1 i when four letters picked without replacement from rrjinrrnjijijriiri?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 211414 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: Collect the terms in 3 + 3*x - 7*x + x + 21*x.\nAnswer: 18*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + ((2*sqrt(95) + sqrt(95))*6)\/sqrt(5) + 1 + (sqrt(76) - sqrt(76)*-2)\/sqrt(4) + -2 + -4)**2.\nAnswer: -420*sqrt(19) + 8479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-24518)\/2829 + (20\/6)\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v + 1113*v**2 + v + 2*v - 1111*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-1230)\/574*3150\/270\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*w + 16*w - 120 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 258.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3761592250?\nAnswer: 2, 5, 13, 1157413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 82 = 78, 3*p = 5*m - 5241. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 minus -32.23?\nAnswer: 32.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-1)\/1)\/5)\/(156\/60)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 2*d**2 + 6*d - 2. Let g(z) be the first derivative of -2*z**3\/3 - 5*z**2\/2 + 2*z + 6. Give 6*g(k) + 5*n(k).\nAnswer: -2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 1705?\nAnswer: -852.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -424, -400, -374, -346, -316, -284, -250?\n\"Answer: t**2 + 21*t - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of d**6\/120 - d**5\/60 + d**4\/24 - d**3\/2 - 5*d**2. Let k be x(-2). Let u = 25 + k. Solve 4*c + q = c - u, 4*c = 2*q - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -299 (c) -4 (d) 377 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1137435.5 to the nearest 10000.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 6*b + 4*b = 0. Solve -5*a + 4 + 11 = b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5317064 years to decades.\nAnswer: 0.05317064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 496186241?\nAnswer: 149, 647, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -232 in -22, 454\/17, 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -y + 2. Let w(m) = 10*m**2 + m - 2. Let q be w(1). Determine s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 315790926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 10100101100000 (base 2) to base 10\nAnswer: 10592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 1 + 25*d - 13*d as x + c*d and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-5)*-1*570\/(-38). What is the units digit of (181\/j*-2)\/((-258)\/774)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -15*x**2 - 3*x - 11. Let o(p) = -8*p**2 - p - 6. Let k(r) = -3*i(r) + 5*o(r). What are the prime factors of k(5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:51 AM and 9:15 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2581840486 and 5633.\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 53684 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + u + 54 = -2*u, 32 = 2*h + 4*u. Suppose -16 - 176 = -24*o. Suppose 4*n + b = 0, o*n - 3*n - 5*b = 0. Solve n*z = 4*z - h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -13 - (7 + 32) - -42\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**2 - 18*h - 7. Let n = 216 + -197. Let c be j(n). Solve 0 = -0*z - 4*z - c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(25)\/sqrt(5) + 2.\nAnswer: 2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18915343 to the nearest integer?\nAnswer: 4349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3716*277\nAnswer: 1029332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.8 - 14.2. Let g = 437 - 457. Let w = g - n. Which is the second biggest value? (a) -2 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2145 - -2143. Which is the closest to -1? (a) h (b) 0.3 (c) -4\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -3315, -2799, -1395, 1341, 5853, 12585?\n\"Answer: 74*y**3 - 2*y - 3387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*m**5 + 2*m**5 - 3*m**5 + (0 - m + 0)*(m**3 - 2*m**4 - m**3) - 5*m**5 - 4*m**5 - 4*m**5 - 2*m**5 - 5*m**3 + 5*m**3.\nAnswer: -17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:32 PM and 12:24 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u**4\/9 - 2*u**2\/3 + 4*u\/9 = 0. Calculate u.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, 124, 3, 4 in decreasing order.\nAnswer: 124, 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/29952 and 43\/2080?\nAnswer: 149760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.1, -2\/17, 0.45, 5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2 - (3 - 1))\/(-22). Let v = -9587 + 9591. Put 0.3, k, 0.06, v in descending order.\nAnswer: v, 0.3, k, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12502 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1704 and 672?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -56a + 17a?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = -3*z + 32028, 2*z - 4*c + 2332 - 23664 = 0. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10539, 21034, 31529, 42024, 52519, 63014?\nAnswer: 73509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 52 - 48. Find the second derivative of 6*z**4 - 5*z + 12*z**4 - 2*z + 3*z**n wrt z.\nAnswer: 252*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7962 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q**2 - 6*q + 2. Let o be j(-6). Suppose 0*k - 5*k = -2*a - 59, 3*k + 5*a - 23 = 0. Suppose 13*l = k*l + 18. Solve -o*v = v + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/4)\/(1478\/7340 - (-12)\/(-60)). Let k be ((-98)\/5)\/((-1)\/10). Let m = i - k. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1196 = 2*o + 5*y, -5*o + 3032 = 3*y - y. Suppose -o = -2*h + 278. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 2*y - 8 = 0, 4*y - 2 = 50*d - 49*d. Solve -12*x + d = -6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5750010114 rounded to four decimal places?\nAnswer: 0.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -97813080*l**3 - 83404633 with respect to l.\nAnswer: -293439240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2665 - -6577. List the prime factors of d.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-12)\/h)**17 assuming h is positive.\nAnswer: h**(-221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes after 9:11 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7 divided by -187948?\nAnswer: -7\/187948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence stt when three letters picked without replacement from tstttstttt?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -26697 divided by 6?\nAnswer: -8899\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 264.60648 microseconds to days.\nAnswer: 0.000000003062575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -21 - 631?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.251538ml to litres.\nAnswer: 0.009251538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2707589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 130300*y**3 - 130331*y**3 - 2 + 10.\nAnswer: -31*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 5*j - 7. Suppose -j*q - 2*q = -3920. What is q rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -324*l**2 + 5033304*l - 19547954596 = 0. What is l?\nAnswer: 69907\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4 = 0, 5*m - 2*n = 34 + 188. Let z be 53\/11 - (-8)\/m. Suppose -z*i + i = 0. Solve i = -2*c + b + 5, 3*c - 5*b + b = 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qwu when three letters picked without replacement from ciwccqqwwccuqccqc?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2.2 (b) -29\/19 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.35 - 16.35. Let l = -0.401 - 0.099. Which is the third biggest value? (a) -2\/23 (b) -2\/11 (c) r (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/2 or -83950?\nAnswer: -83950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17868684 is divided by 687257.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, h: 1, t: 1, g: 2, k: 1, b: 3}. What is prob of sequence km?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-4)*-2*-1. Let v(x) = 1. Let y(s) = s - 2. Let k(m) = -5*v(m) - y(m). Give k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.51 - -0.21. Let a = -16 - -78. Let c = a - 247\/4. What is the third biggest value in x, 4, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the first derivative of o**2 + 1\/4*o**4 - 2 - 4*o + 5\/3*o**3. Give a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70363633?\nAnswer: 70363633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -366*i + 20133. Determine k(55).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - 2221543?\nAnswer: -2221536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*y + 20 + 24 - 46 - 6*y**2 to the form x + u*y + g*y**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 4*h**2. Suppose 5*x = 5 + 5. Let m(s) = 1 + x - 3 - s**2. What is v(m(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 3. Let h be ((-2)\/2)\/(5\/20). Is (98\/h)\/(k\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11.5 + 9.7. Let x = 21 - r. Put -4, 5, x in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((7200\/(-25))\/(-18))\/(1\/(4\/8))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8.12 - -8.1201437. Round i to 6 dps.\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 11 + 15*y - 11 + 21.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-4))\/((((-27090)\/(-12))\/35)\/(29 - 35))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -3*h**2 - 3*h - 6. Let q be 1 - -6 - 3 - (-2 + 4). Let d(a) = 31*a**2 - 6 + 4 - 4*a - 35*a**q - 5. Determine 4*d(p) - 5*r(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 21181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5.475368 millilitres?\nAnswer: 0.005475368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 0. Is -1 + v + (-11)\/(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 242 and 499356?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8882854?\nAnswer: 2, 43, 103289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the third derivative of f**4\/24 - f**2. Let i(r) be the first derivative of -2*r**3\/3 - 8. Determine i(n(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, f: 4, d: 1, a: 1, h: 5, z: 1}. Give prob of picking 1 a and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -2*j - 5, j + 3*u + 50 = 65. Which is the fourth biggest value? (a) -37\/3 (b) 2 (c) j (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -3*t + 14. Give i(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3710\/(-210) + 15)\/(((-2)\/6)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 19\/4 in -4, 3, -0.2, 1.2, -196?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or -2\/253?\nAnswer: -2\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + 1111100?\nAnswer: 1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 PM and 12:01 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2994*i - 45216 = -1581*i for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v - 6*v - 402 - 3*v + 402.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4 - -19 - 1*4. Suppose -i*g + 10*g = -39. Suppose -3*h + f = -240, f + 43 = h - g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 35568697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 3 + 5. Suppose f*w - 12 = t, 0*w - 15 = t - 3*w. Let m(p) = p**2 + 6*p + 4. What is m(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 698615588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.3 (c) 0 (d) -0.041\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 16\/5 - 2*w**3 - 34\/5*w**2 + 28\/5*w = 0. What is w?\nAnswer: -4, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -1\/125818?\nAnswer: -1\/125818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 3*w = 20, -5*n + 2*w + 21 = 3. What is the third derivative of 7*j**3 - 6*j**2 + 6*j**2 + 2*j**n wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -16890, -33816, -50800, -67866, -85038, -102340, -119796?\n\"Answer: -4*z**3 - 5*z**2 - 16883*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 75 and 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 11*z - 1. Let r(h) = 1. Let j(b) = 5*o(b) - 15*r(b). Let n(p) be the third derivative of p**4\/3 - p**3\/2 - 895*p**2 - 4. Calculate 3*j(q) - 20*n(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 390*i**3 + 3777 - 3777.\nAnswer: 390*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -340 divided by -71.\nAnswer: 340\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0395509 rounded to 4 dps?\nAnswer: -0.0396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (3*sqrt(12)\/(sqrt(30)\/sqrt(5))*3 + -2)**2.\nAnswer: -36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 23526 (b) 0.26 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -377*b - 2518 + 256 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (148\/56 - 3)*(-8)\/20. Put s, -1\/8, -2\/21, 2 in descending order.\nAnswer: 2, s, -2\/21, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: -35a252 (base 11) to base 7\nAnswer: -4562466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 84477093 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 167, 289, 501, 803, 1195, 1677, 2249?\n\"Answer: 45*g**2 - 13*g + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-40)\/(-630))\/((-22)\/77). Let q = -2 + 1.9. What is the biggest value in r, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (75\/(-20))\/((-3)\/16). Suppose -4*u = -2*u - i. Calculate the remainder when 36 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-134 + 77 + 70)*(228*n - 337*n + 2 + 188*n) in the form u*n + r and give u.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t**4 + 20965*t**3 - 29316045*t**2 + 13690537135*t - 27263977730 = 0. What is t?\nAnswer: 2, 1397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -6*f - 3. Let p(j) = 17*j + 8. Let u = 47 - 39. Determine u*t(q) + 3*p(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together 140 and -19.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25604456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 + 76*x**2 + 71*x - 318. Let a be p(-75). Which is smaller: -44 or a?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 353, -36, 1, -4, -5.\nAnswer: -36, -5, -4, 1, 4, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*i**2 + 3*i**2 + i**2 - i + i - 34*i**2 + (-3 - 2 + 6)*(i**2 - i**2 + 2*i**2) + (-4 - 1 + 4)*(-2*i - 2*i + 0*i)*(-4*i + 2*i + 9*i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99) - (4 + (sqrt(99) + (sqrt(99) - (sqrt(99) + -2)) - sqrt(99)) + sqrt(99)) - (sqrt(1100) + 2 + sqrt(1100) + sqrt(1100) + 1))**2.\nAnswer: 540*sqrt(11) + 9981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2235454 (base 6) to base 13\nAnswer: 3cb80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - (-12 + 7 - -16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k**3 + 6*k**2 + 2*k + 14. Let y be f(-7). Suppose 2*h - 3 = 13. Is (-3)\/2 + y\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2553, -2539, -2499, -2421, -2293, -2103, -1839?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*1*56\/40*(-1925)\/(-1617).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/2*9\/18. Suppose 4 = 2*c + 2*c - l*v, -5*v = -2*c + 10. Suppose c = r, -4 = -4*y + 5*r - 0*r. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170)\/(-2*sqrt(10)) + -3)**2 - (0 + sqrt(17) + sqrt(1088)*2 + sqrt(1088)).\nAnswer: -22*sqrt(17) + 53\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.1534028ug?\nAnswer: 0.0000001534028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (198\/24 - 8)*-20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Add together -2393094 and 574.995.\nAnswer: -2392519.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 91342865 and 81725?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 9147, 8345, 7541, 6735, 5927, 5117, 4305?\n\"Answer: -x**2 - 799*x + 9947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*t + 1085 + 28*t - 22*t**2 - 16*t - 3*t**2 wrt t.\nAnswer: -50*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 12, p: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/7600 and -111\/320.\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 234319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5304 - -5517. Solve 0 = -p - i + 216 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/12585604 and -35\/5996?\nAnswer: 12585604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 660*p - 704*p + p**3 + p**3 + 6 - 2*p**4 - 6 - p**2 to the form t*p + y*p**4 + c*p**3 + b + q*p**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3618)\/(-7047) + 356\/(-116) + 3. Suppose 10 = v + v. Which is the closest to -0.1? (a) -2\/3 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 PM and 8:52 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -4*l + 12 - 0, -5*l + 4*j + 24 = 0. Suppose -l*p = -1 - 7. Calculate the remainder when 34\/(-3)*(-6)\/p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5 - (-8 - -9))\/2)\/(3\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2d4 - -a5?\nAnswer: -22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(288)*1 - sqrt(288))\/((sqrt(4) + (sqrt(4) - sqrt(20)\/sqrt(5)))*-2 - sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0004572351 to 5 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 16*b**2 - 16*b + 31. Let i(f) = 3*f**2 - 3*f + 6. Let k(o) = -2*d(o) + 11*i(o). Let p be 2\/3*3\/(-2). Let c = p - -4. Determine k(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + r + 20 = 0. Let z(d) = 2*d - 11. Let l(j) = -j + 5. Suppose -5*g - 41 = 2*h, -h - 2*h = 3*g + 21. Let x(w) = g*l(w) + r*z(w). Determine x(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(5\/4)*j*j\/(j\/j**(-1\/12))*j*j**(-2\/13)*j*j**(2\/11) assuming j is positive.\nAnswer: j**(3599\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes before 6:46 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 66507441 by 3003.\nAnswer: 22147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose i**3 - 145*i**2 = 0. Calculate i.\nAnswer: 0, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes after 12:42 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1249319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*w**3 - 60659*w**2 - 783245*w.\nAnswer: -18*w - 121318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**3 - 5*q**2 - 3*q + 3. Let s be r(-5). Suppose 2*t = 98 - 8. What is the greatest common factor of s and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (32\/(-6))\/(-1)*840\/(-112). Is (35180\/k)\/((-2)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1143143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k = 2826 - 926. Which is smaller: 187 or k?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.0708 + 0.1292. Which is greater: l or -304?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cbllbbbbbbccccbl. Give prob of sequence bbcl.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 4 - 16 = 4*f, 2*f + 5*j - 18 = 0. Which is the nearest to 2? (a) 2\/5 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11266596 divided by 3.\nAnswer: -3755532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 3*a**2 + 10*a - 5. Let j be d(-4). Let i = 6 - 4. Suppose i*u = -j*u + 75. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -14.0349 and -0.2.\nAnswer: 2.80698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 141886445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1009*r - 3936 = 1091*r for r.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n*n**14*(n**(-1\/10)\/n)\/n*(n\/(((n*n**(-7)\/n*n*n*n)\/n*n)\/n)*n)**(-30))**(-36) assuming n is positive.\nAnswer: n**(35298\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0690262 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 170 * 65\nAnswer: 11050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -0.05*-2077.2\nAnswer: 103.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1594, 6444, 14548, 25906, 40518, 58384, 79504?\n\"Answer: 1627*f**2 - 31*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**2 + k + 7. Let z be b(-3). Let r(a) = a**3 + a**2 + 3*a - 2. Let q(o) = 2*o**3 + 2*o**2 + 5*o - 4. What is z*r(s) + 3*q(s)?\nAnswer: s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/(y**1*y)*y)**(-22))**(1\/37))**(8\/9) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 6. Let s = 5 - m. What is the remainder when 13 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4169917\/890)\/((-2)\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 46\/295 and -79\/472?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*p - 527 = 0, 4*d - 3*d - 174 = 2*p. Suppose -5*f = -5*n - 30, -f - 42 = 4*n - 28. Suppose b - 91 = -5*c + d, 110 = f*c + b. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -34\/25 (b) -4\/79 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 6*c**2 + 7798*c + 15572 = 0. What is c?\nAnswer: -3893\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 3 + 7. Let i be (-5*3\/(-6))\/r. Are 0 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -3a44 (base 11) to base 15\nAnswer: -1851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -136\/7 (b) 32 (c) -7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1110 + -1?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -882 divided by 98\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 10 = x - 2*x, -x + 30 = -r + 3*x for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3*s**5 + 2\/3*s**4 + 0*s**2 + 0*s**3 + 0 + 0*s.\nAnswer: -2*s**4*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -137.254 + 15.044. Let c = m - -114. Let l = c + 0.21. What is the second biggest value in l, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 21, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of -z**7\/24 + z**6\/24 + 9*z**5\/80 - 5*z**4\/48 - z**3\/12 + z. Let l(p) = 0. Calculate p.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(1331) + 0) - sqrt(1331) - ((0 + sqrt(1331) - sqrt(1331)) + -1)) + (sqrt(1331) - (sqrt(1331) + (1 + sqrt(1331))*3 - sqrt(1331))) + 2)**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*(g*g**3*g)\/g*g*g**(-1\/3))\/(g**(-6)*g**3))\/((((g*g**(-4))\/g)\/(g\/(g**(-8)*g)))\/(g**5*g**(2\/9))) assuming g is positive.\nAnswer: g**(242\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (-4*-1*sqrt(125)*-1)**2)*6.\nAnswer: 11970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 643792966 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12.865207 + -3.865331. Let d = -159 + 168. Let u = k - d. What is u rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.027 + 0.053. Which is the third smallest value? (a) -0.5 (b) 1\/3 (c) -0.1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (36\/24)\/(6\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 305 and 45?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 157901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of 0*u**5 + 0*u + 2\/105*u**7 - 1\/8*u**4 - 5*u**2 + 0 + 0*u**6 + 0*u**3. Find the second derivative of h(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 649*n - 1180*n + 2611*n + 3694*n.\nAnswer: 5774*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q = 4*h, h = -q + 7 - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.89 - -1.59. Put p, -4\/7, -0.2 in ascending order.\nAnswer: p, -4\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-756)\/(-288) + (-9)\/6.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -109078040 minus 0.3?\nAnswer: -109078040.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*l = 327 + 81 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (7 + -13 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/q**(-1\/2))**(6\/5)\/(q*(q\/q**3)\/q*q*q*q**5))**(-34))**(-8\/9) assuming q is positive.\nAnswer: q**(-4352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -66*h + 64*h + 15*b - 52, -28 = -4*h - 3*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 - 2 - -3) + 2. Suppose -4*m + y - 38 = 0, -d*y - 8 = y. Let b be 1\/2 - 25\/m. Solve 0 = -5*a - 0*u - b*u - 19, 4*a + 14 = -3*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1694 + -1?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 3*x, -3*z - 2797 = -7*z - x. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 2, -5, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 + 5\/(-15)*-15. Calculate the remainder when 247\/65*(l + -1) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.6 + -0.62. Let i = -0.4307 + 0.45. Let p = f + i. What is p rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the first derivative of -5*c**2\/2 + 3. Let z(v) = v**2 + v - 1. Let p(s) = -s**2 - 2*s + 2. Let m(f) = -2*p(f) - 4*z(f). Calculate m(j(r)).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -0.124?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -32, -34, -32, -26, -16, -2, 16?\n\"Answer: 2*v**2 - 8*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -16*a**2. Let h(z) = 11*z. Calculate c(h(n)).\nAnswer: -1936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -16*w - 2. Suppose -37*s = 61*s + 180 - 474. What is the lowest common multiple of s and k(-8)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -36*w + 23 + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 2\/5 (b) 2 (c) -296 (d) -8.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 461859593 - 461859692.3300071. Let l = -113.93000576 - w. Let q = 14.6 + l. What is q rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7893.5 * -0.3.\nAnswer: -2368.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/3 + (-3)\/9. Let m be (-8)\/264*39 - -1 - (-48)\/22. What is r in -1\/2*r**2 + m + d*r = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the second derivative of -2\/3*p**4 + 0*p**2 - 1\/6*p**3 + 0 - 10*p. Find the second derivative of i(j) wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(((-272)\/153)\/(-16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1\/55 (b) -0.3 (c) 334 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1400 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (56 - (-22 - -55)) + -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -88 = -6*r + 50*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (7 + -6)*((-6)\/3 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 7 - (0 + (2 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-5\/4)\/(u\/(((u\/u**28)\/u)\/u*u))*u**(3\/7)*u**(-15)\/u assuming u is positive.\nAnswer: u**(-1283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*c**2 + 7*c**2 - 2*c**2 - 4*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from gcmqi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16139653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 348022 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -229 at most as big as -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -224*n**3 - 5*n**2 - 2*n?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + 2*v**2 + 5. Let g = 812 - 809. Determine o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2495 is divided by 409?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 + 15*f**2 - 18*f - 24. Let j be x(-16). Let c(b) be the first derivative of -21*b + 44*b - 23*b + j - b**2. Let k(d) = d. Calculate c(k(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 127\/220 - -1\/44. Let y = 2027 - 8107\/4. What is the nearest to y in 3\/4, 2\/7, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, b: 1, j: 2, m: 5}. What is prob of picking 2 j and 2 m?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 9 = 0, -11*b = -14*b - o + 483. Solve -128*n = -b*n - 128 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 73225984?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4685959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-33*c - 10264 + 5919 + 5170)*(1 - 1 - 2*c) to j*c**2 + k*c + i and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 5*v + 11 = -0*s, 5*v = 3*s - 47. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 4 (b) -370 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2394 and 2394.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(2 + sqrt(1008))*-6*1)**2 + 1)*6.\nAnswer: 373248*sqrt(7) + 7869318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -9*u**3 + 3*u**2 + 13*u + 7. Let d be g(-4). Let k = -335 + d. Suppose 0 = 3*f - f - 5*v - k, 0 = 4*f + 2*v - 488. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132)\/(sqrt(72)\/(-1*sqrt(6))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -5*r + 13, 3*r + 2*k - 4 = 8. Let y be 2*(-1)\/r*0. Suppose y*v = 2*v. Solve v = 4*i + 5*w - 32, -3*w + 4 + 8 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 327 + -22781?\nAnswer: -22455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23873662.\nAnswer: 2, 1307, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 527 divide 93093496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r and 1 f when four letters picked without replacement from {n: 1, k: 1, f: 1, r: 1, p: 2, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -90*q + 90*q - q**2 - 4*q**2 + 6*q**2. Let i(c) = 3*c**2 + 2. Let m(d) = d**2 + 1. Let f(n) = i(n) - m(n). Determine y(f(l)).\nAnswer: 4*l**4 + 4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21348, -85400, -192160, -341634, -533828?\nAnswer: -768748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 113 = -3*j, 2*j = w - 34 + 111. Suppose -3*h - j = -27. Let u(m) = -m**2 - 2*m + 3. Determine u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r + 5. Suppose 2 + 18 = 5*q. Determine w(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3504, -3422, -3194, -2748, -2012, -914, 618, 2656?\n\"Answer: 12*t**3 + t**2 - 5*t - 3512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2*c - 1. Let n(b) be the first derivative of b**2\/2 + b + 75. Determine 7*n(r) + 3*z(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 43327.\nAnswer: 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 20, -x - 5*h = -2*x - 31. Let c = x - -7. Is ((-358)\/4)\/(c\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 7, 3, 32, -2 in decreasing order.\nAnswer: 32, 7, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (24\/(1 + -9))\/((-15)\/(-115))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 57810, 57808, 57806, 57804, 57802?\nAnswer: 57800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -134802 in -1\/5, -1, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 31\/(4991\/1012).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 28 = 16. Let u be (-6)\/4*2\/3. Let o be (u - 3\/(-2)) + (-6)\/(-4). Solve -r*d - o = -v - 0, v = 2*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*p**3 + 8*p**3 - 17*p**3 + 8*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6) - sqrt(18)\/sqrt(3))\/sqrt(3)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-3488935.\nAnswer: 1395574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/937 and 117\/10.\nAnswer: 9370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4753 divided by -9.\nAnswer: -4753\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 4. Suppose 0 = -5*j + 20 - 0. Let w be 1119\/s + j\/16. Round w to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 + -3 + (-8)\/(-2). Let d(o) = m*o + 0 + 3 + 0 + o**2. Let u be d(-3). Solve u*p = -5 - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18792, 18802, 18814, 18828, 18844, 18862?\nAnswer: 18882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 686, 688, 690?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 14299497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -20540087?\nAnswer: 1\/20540087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1001 - -11102010200?\nAnswer: 11102002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**2 - 59*f + 17*f + 21*f + 21*f - 1. Let o(y) = 89*y**5 + 7*y**2 + 5*y - 4. Let t(c) = -o(c) + 4*x(c). What is the third derivative of t(v) wrt v?\nAnswer: -5340*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-2\/29)*v*v)\/v*v**(3\/7))**2)**(-30) assuming v is positive.\nAnswer: v**(-16560\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 16, 14, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -29, -5, -12.\nAnswer: -29, -12, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -4*x + 30. Let r(d) = -2*d - 2 - 3 + x. Let m(c) = 2*c. Calculate m(r(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a + 0*a - 3*a)*(6*a - 2*a - 2*a)*(177 + 161 + 21)*(0*a + 2*a + 0*a + 4*a - 3*a + 0*a + (6*a - 3*a - 4*a)*(-3 - 4 + 5) - a - 2*a + 2*a).\nAnswer: -8616*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-5652)\/(-108) + -44 + -12 + -1.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddbdbbedbpbbpbdpbd. What is prob of picking 1 e and 3 p?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/5 (b) -64 (c) -8 (d) -0.4 (e) 3.03 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -66 + 68. Suppose 10 = -2*f + q*u + 200, -3*u = 6. Let b = -38 - -62. Calculate the remainder when f is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2157 is divided by 717.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -589232458*x**3 + 105619*x - 727 wrt x.\nAnswer: -3535394748*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2195 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 26 (b) -2 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-356*t**3 - 383*t**3 - 115*t**3)*(2*t**2 - 7*t**2 + t**2).\nAnswer: 3416*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103995027 is divided by 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 1158*h - 47014. Determine s(40).\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 4 = -2*l, 5*p - 247*l + 28 = -246*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -368*b**3 - b**2 - 2*b + 755*b**3 - 382*b**3 + 2. Let f(o) = 5*o**3 - o**2 - 3*o + 3. Determine -3*a(k) + 2*f(k).\nAnswer: -5*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -9*n**4 + 0 - 27\/2*n**5 - 14*n**2 + 2*n + 57\/2*n**3 = 0.\nAnswer: -2, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28 + 6*a - 9*a + 28.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4 or 0.122?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 - 12*u**2 - 33*u - 46. Determine s(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -2 (b) -261 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -5.2. Let o = 0.94 - -0.06. Let y = h + o. Which is the third smallest value? (a) y (b) -0.3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (189 + 379 + 845 + 404 + 42)*(-45 + 45 - 16*c) to the form f*c + j and give f.\nAnswer: -29744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is i in -2*i**3\/11 - 12*i**2\/11 = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -5715 (base 9) in base 16?\nAnswer: -1082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -40? (a) -0.8 (b) 0.063 (c) 5\/144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 1:25 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 156316468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -45 (base 13) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 15) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 2*z - z = -22*m, -294*m - 2*z = -299*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -366, -728, -1090, -1452, -1814, -2176?\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**2 + 36*z - 250. Determine a(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/4)\/(27\/(-720)). Suppose -j + 10 = -0*j. Suppose 3*b = 2*b + j. What is the highest common factor of a and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -134 + 13. Let c = g + 124. Suppose -c*k + 20 = w, k - 5*k + 28 = 2*w. Solve -k = -0*f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -916 + 1006. Calculate the lowest common multiple of f and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + v + 272 = 0, 3*j = -2*j + 5*v + 260. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3384*w + 20704 = -185720 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 107305700.\nAnswer: 2, 5, 17, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 0, 363 in descending order.\nAnswer: 363, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -2*c**3 - c**2 + 1. Let j be x(-1). Let f = 0 + 5. Suppose -j*u = -33 + f. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14.999862 - 15. What is c rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 358901546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 - 46*k**2 + 55*k + 323. Give y(44).\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -685994 * 5\nAnswer: -3429970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h + 24 + 6 + 14 - 26.\nAnswer: 2*h + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (496\/(-48) - -9)\/((-28)\/105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.77694 rounded to two decimal places?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from kekjkkxkekrkkjrexxj.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c + 270 = 12*c. Suppose 2*p + 3*n - 75 = 0, 0 = 4*p + 11*n - 12*n - 115. What is the smallest common multiple of p and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 7\/9, 4, -1\/4, 4\/3, -5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 65*y**2 - 125*y**2 - 8*y + 3*y + 6*y + 61*y**2. Let l(d) = -60*d - 70*d**2 + 28 - 28. What is -60*k(b) - l(b)?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -82 (c) -1\/7 (d) -2\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 305323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 410 divided by 2\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum -3668.7 and 2932.\nAnswer: -736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 5 = -3*i + w, w - 4 = 0. Let u be 16*i\/(3\/3). Solve 0 + u = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/6, 0.09, 2\/15, -0.272, -5?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1834, 3423, 5014, 6607, 8202, 9799, 11398?\nAnswer: 12999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 21*p - 5 - 396*p + 3. Is k(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 8, 19, 40, 77, 136?\n\"Answer: j**3 - j**2 + 7*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -338 by -169.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 17*a**2 - 268*a + 1335. Let x be b(5). Calculate the greatest common divisor of x and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**4*(k*k**(-2\/3)\/k)\/k*(k\/(k*(k**(4\/7)*k)\/k))\/((k*k\/k**9)\/k) assuming k is positive.\nAnswer: k**(205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 8.7 and 76.39.\nAnswer: 664.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5910969800 less than 359?\nAnswer: 5910970159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 5036 (base 7) to base 6\nAnswer: 12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 3. Suppose -h = -y - 0*y. Suppose -y*n - 4*f = -42 + 11, 5*n + 2*f = 75. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 12, -372, 1\/5, 19, -5, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 603 - 137. Suppose -490 = 5*j - 5*k, 0 = -j + 6*j + 3*k + m. Let h = j + 175. Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*-0.363.\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11\/((2\/6)\/(-20*(-12)\/720))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 649031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30 - 10) + 62 - (44 - 1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 13576.82ns?\nAnswer: 13.57682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-20))\/(3\/(-6))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2356709\/84 + 28057. Find the common denominator of -13\/108 and m.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times 93\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 12:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the third derivative of 13*v**4\/6 - 103*v**3\/6 + 4*v**2 - 4. What is the first derivative of u(o) wrt o?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -451 (b) -7\/102 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*a - 329*a**3 + 13*a**3 - a + a.\nAnswer: -316*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/4*90 - (-5 - -2). Let n(s) = s**3 + 3*s**2 - 5*s - 3. Let g be n(-3). What is the greatest common divisor of x and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10000010 + -122?\nAnswer: 2222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(-18)*(-36)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = 3*k + 3704, 5*k = k - 16. What are the prime factors of 5\/(10\/(-9))*y\/(-39)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 765*s**2 + 1.\nAnswer: -765*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 56342110 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = x + 23. Let r = 35 + x. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of -5*q**4\/24 + 3*q**3\/2 + 266*q**2. Let i(j) = -6*j + 9. Give -3*i(b) + 4*z(b).\nAnswer: -2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -36, 1 in descending order.\nAnswer: 1, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from iiiuiqiuqciuiiuimi.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 1) + (-1620)\/252 + 418\/(-1001)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyyh when four letters picked without replacement from yyhhyyyyhyhh.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 6*3\/(-54)*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p + 8. Let z = -24 - -28. Let c(i) = i**3 - 10*i**2 - 7*i + 2. Calculate the remainder when c(11) is divided by w(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*h + 84 = 11*h. Do 28 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 3*j + 1. Let a be f(-4). Let w = a + 10. Suppose b + 0 - w = -5*n, -n + 7 = b. Solve 0 = q - 2*v, 4*v - 6 = n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 52795.91 * 5\nAnswer: 263979.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (7 - 204\/30) + 417\/15. Solve 13*v = 20*v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -67, -128, -189, -250?\n\"Answer: -61*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4228 - -11267. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 3*p + 3. Suppose -y + 20 = t + 2*t, 5*y + t - 30 = 0. Give l(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 70591.543?\nAnswer: 70591.543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 + 2\/2 + 0. Let a(b) = -31*b + 34*b + 149 - 71 - 31*b + 260. Let i be a(12). Solve j = i*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -96921475*m**3 + 213554241?\nAnswer: -290764425*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*-16.066.\nAnswer: -4.8198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -6cb (base 15) to base 12.\nAnswer: -a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cscwjsscjccwwcs. What is prob of sequence sjj?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 388990000 rounded to the nearest one million?\nAnswer: 389000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7451 is divided by 104?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1513419 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-48)\/112*-1*2\/2. Let h = -252 + 3278\/13. Put 0, 1\/2, j, h in increasing order.\nAnswer: 0, h, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 57 + -26. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 238 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 0.1 (b) -45 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 799 divided by 714.\nAnswer: 47\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 1092, 1688, 3 in descending order.\nAnswer: 1688, 1092, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes after 6:01 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10028, -20062, -30120, -40214, -50356, -60558, -70832, -81190?\nAnswer: -91644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 4*n - 13. Let u be j(4). Suppose 0*w - u*w = 5*w. Suppose 0*s = -6*s - w*s. Solve -3*l = -z - 15 + 3, -5*l + 5*z + 10 = s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -643 + 377. Let i = -182 - a. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12\/5 in 0.01, 2, 3\/4, -3, -2\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 342 divide 140063022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, 0.4, -3\/7, -26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -253*s**2 - 2*s + 87. Let j(u) = -505*u**2 - 5*u + 177. Let t(l) = -5*f(l) + 2*j(l). Differentiate t(k) with respect to k.\nAnswer: 510*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (42 - (-9 + -7 - (13 + -24))) + 11\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -21205 * -5.\nAnswer: 106025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 5*g + 8. Does 9 divide 20 - 2\/(-1 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18902 = -r + c - 18897, 9*c = 2*r + 18 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 24280 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3, -2, -15, -42, -89, -162, -267, -410?\n\"Answer: -d**3 + 2*d**2 - 4*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 0 - 1 - 350*r**2 + 82*r**2 + 2*r.\nAnswer: -268*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-105)*60\/(-36).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 3*w - w**2 - 2*w**2 + 2 - 2*w + 2*w**2. Let q(a) = 2*a**2 - a - 4. Let u(r) = -7*c(r) - 3*q(r). Let f = 174 + -170. Calculate u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*d**3 - d**3 - 3*d**3)*(53 - 49 + 115) - 3*d**3 - 2*d**3 + 4*d**3 to the form f*d**2 + a*d + q*d**3 + y and give q.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of q**8\/840 + q**7\/420 - q**6\/60 - q**5\/60 + q**4\/6 + 5*q**3\/6 + 6*q**2. Let f(n) be the first derivative of m(n). Factor f(y).\nAnswer: 2*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - -4. Suppose 4*g + 4*c = q, 0 = -2*g - 3*g + c + 10. Solve -h + g*h - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(55) + sqrt(55))\/sqrt(11) + 5.\nAnswer: -2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -196 - -269. Let u = -73.000001257 + o. Round u to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 39*b**3*d - 2*b**3*k**2 - 356*b**2*d**2*k**2 + b**2*d**2 - 2*b*d*k - d**2*k wrt k.\nAnswer: -4*b**3 - 712*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 6:25 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 - 1. Let c(o) = 7*o**3 + 3*o**2 - 2*o - 1. Let j(a) = 35*a**3 + 16*a**2 - 10*a - 6. Let r(d) = -11*c(d) + 2*j(d). Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -2*r**2 + 7*r - 2. Let o be u(3). Let w(l) be the first derivative of l**2 - l + 13. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-24)\/(-4)*(-2)\/6. Put 5, z, -7 in increasing order.\nAnswer: -7, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00026316 to 6 dps.\nAnswer: 0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**5\/(a**(6\/13)*a*a) assuming a is positive.\nAnswer: a**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8299*n - 467 + 467 - 13928*n.\nAnswer: -22227*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2267232 - -3913005. Let s be 2\/4*(-3 + t). Suppose -2*g - s - 2909883 = 0. What is g rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y - 45. Let q(o) = 8*o**2 - 6. Let p(f) = 7*f**2 - 5. Let n(t) = 6*p(t) - 5*q(t). Give s(n(m)).\nAnswer: 2*m**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*d - 11*g + 6*g + 25, 3*g = 5*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x - 5*z + 30 = 0, 0*z - 3*z = 5*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134132?\nAnswer: 2, 33533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -4*g - 13*g + 1 - 1 in the form w + d*g and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of u**3\/3 - u**2 - 5*u + 61161. Suppose 0 = 4*o - 2*f - 20, -3*o + 3*f + f = -10. Determine j(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 169306338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 11115122 (base 6) to base 14.\nAnswer: 8aa4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-26603)\/370 + 2\/(-20). Let z = -97 - v. Let d = 0.1 - 0.1. Which is greater: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4307710 less than 0.03?\nAnswer: -4307709.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13294569.\nAnswer: 3, 4431523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -112 + -111?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.087 + -0.087. What is the closest to 1\/4 in x, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 201 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -53.93063 to the nearest integer.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 4654*w - 4654*w - 687*w**3 - 416*w**4 + 687*w**3 + (w**2 - 6*w**2 + 3*w**2)*(0*w**2 + 0*w**2 + w**2).\nAnswer: -418*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -15 + 5\/3*i**3 - 13*i + 0*i**2. What is the first derivative of u(w) wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 159981 or 160032?\nAnswer: 160032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the first derivative of 6 - 1\/2*a**2 - 13*a. Let z be o(-14). Calculate the greatest common factor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12668*(-2)\/8*-509 + 1. Suppose -4*g + 0*g - a = 1612002, -2*a = 4*g + u. Round g to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3134520 + 4?\nAnswer: 3134524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:22 PM and 8:38 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 100*l + 1. Suppose 3*n = 7*n + 12. Let z be n\/(-5) - (-56)\/40. Is w(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*w - 18 - 9*w**3 - 5*w**3 - 5*w + 18.\nAnswer: -14*w**3 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.489561 meters to micrometers.\nAnswer: 489561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + n = 12. Let w(i) = -7 + 14 + 0*i + 6*i - i**2. What is the units digit of w(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -3*v**3 + 17*v**2 - 3*v + 8. Let q(h) = -h**3 + 6*h**2 - h + 3. Let n(b) = -3*l(b) + 8*q(b). Let g be n(2). Sort g, -3, 4.\nAnswer: -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 - q**2 + 6*q + 8. Let g be c(-3). Suppose -g*y + 22*y = 70. What is the lowest common multiple of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 57\/85 and 81\/2108?\nAnswer: 10540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3337 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((0 - -3) + -12 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qi when two letters picked without replacement from {q: 4, f: 9, i: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - -1044?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 q, and 1 t when three letters picked without replacement from qtnqnpfd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(1188)*-4 - sqrt(1188))\/(-6*(sqrt(3) + sqrt(75)) + 1*sqrt(12) + sqrt(3)).\nAnswer: -38*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -28 + 25. Let a(v) = 3*v + 1. Calculate a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15584 - 15380. Does 51 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 3 - 6)*(-l - l + 4*l) - 3*l - 2 + 2)*(-3074*l**2 + 95 - 47 + 10561*l**2 - 48).\nAnswer: -67383*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -187f (base 16) to base 13\nAnswer: -2b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o - 4*o**2 - 2*o**2 - 3 + 4. Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -21, 1, 67, 201, 427, 769, 1251, 1897?\n\"Answer: 4*h**3 - 2*h**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 282.895 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-2)*(-25)\/(-20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2574*i*k - 61472*i + 6*k**2 wrt k.\nAnswer: 2574*i + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5 + 32?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.09 + 7.09. Let d = 14 + -19. Let z = b + d. Is z at least as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.398 - 0.068. Let z = x - 0.03. Let k = z - -0.1. What is the smallest value in 1\/4, 0.5, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98610 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35 - 176\/5. Let p = -1941 - -1941.046. Which is smaller: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143337 is divided by 3560.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 3*a**2 - 2*a + 7. Calculate the smallest common multiple of r(4) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d - 1. Let h(k) = 7. Let s(y) = 2 - 1 - 5. Let m(z) = 3*h(z) + 5*s(z). Let b(f) = 5*f + 1. Let a(q) = -b(q) - 5*m(q). Determine -a(v) + 6*r(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 749 is divided by 218?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 55024183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 43 = 22. Let d(c) = 3 + c**2 - 7*c + 3*c + c - c. Let j be d(-10). What is the highest common factor of j and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*m + 15*m**3 - 3*m.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2 (b) 3 (c) -5 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 58 - 51. Suppose 2*h = -5*h + s. Is -2\/145 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = f + 17, -5*f - 122 = 3*g - 1. Let u = f + 27. Solve -2 = 2*x - 0*s - 5*s, -u*s = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f**3 + 512870*f**2 - 13215656220*f + 3271937805000 = 0. What is f?\nAnswer: 250, 51162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -1. Let q(x) = -14*x**2 + 3*x + 10. Let y(u) = -6*m(u) - q(u). Is y(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.5 - 0.1. Let p = -3.1 + 3.1. Put 4, s, p in decreasing order.\nAnswer: 4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) + sqrt(117) + 1 + -5)*3 + (sqrt(117)*2 + 5)**2*-3.\nAnswer: -1491 - 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l = -4*l - 24. Suppose -q + l = 2*q. Suppose 2*i = q*a + 92, -3*i + 2*a + 215 = 2*i. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*x = -464 + 377 + 386. Let u(b) = b**2 + 10*b - 7. What is u(x)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 2*v + 12. Let b be k(-5). Let d = 0 + b. What is the least common multiple of 7 and 196\/24 + d\/(-12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3084, 3151, 3218, 3285?\n\"Answer: 67*w + 3017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7951523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -33767\/234 - -1270\/9. Suppose -24520 = -4*q - y, 5*y + 24520 = 4*q - 0*q. Let g = q + -49119\/8. Find the common denominator of g and f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 167066 (base 9) to base 12\nAnswer: 4bb36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1979 - -1990. Solve -4*c + 5*q = 4*q - p, 4*c - 6 = 2*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-25*h + 20*h + 110*h)*(-2 + 5 + 0)*(1 + 2 - 1).\nAnswer: 630*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -2*h**4\/5 + 6052*h**3\/5 + 18216*h**2 + 91180*h + 152050 = 0. Calculate h.\nAnswer: -5, 3041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 3 + 8 = 5*c, 3*z - 5*c = -5. Solve -4*s + 5*b - 11 = -5*s, -5*b + 10 = z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126.25 take away -41344796?\nAnswer: 41344922.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 124842.2 litres in millilitres?\nAnswer: 124842200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 5, o: 9, v: 2}. What is prob of sequence vov?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 1 - -93 - (30 - (28 + -17 + 17)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.92 - -0.08. Let b = 11 - 7. What is the nearest to l in -4, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 64 - 69.4. Let c = 5.40000074 + w. What is c rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + p + 4 = 0. Solve i = p - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7157, 7173, 7201, 7247, 7317, 7417, 7553?\nAnswer: 7731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/(-3))\/(2\/30). What is the remainder when (-151)\/(-4) + t\/20 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 3*s**2 - 17*s - 58. Let l(b) be the third derivative of -b**5\/60 + b**4\/4 + 19*b**3\/6 - 357*b**2 - 8. Determine -4*g(t) - 11*l(t).\nAnswer: -t**2 + 2*t + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -15\/8, -4.6, 3\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, g: 2, q: 1, s: 1}. What is prob of sequence qv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -988 take away -94.3?\nAnswer: -893.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -17 or -1\/5172?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5 less than 3717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5571 - 22151\/4. Let m = l - 32. Let f be (-1)\/((-4)\/(-3)) + 1. Which is the second biggest value? (a) 2\/13 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44 - 134 = 3*z + 4*d, -z + 4*d = 46. Let x be z\/9 - 2\/9. Calculate the remainder when (-15 - x)\/(-1 + 0) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1512 = 4*o + 3*v - 784, -3*o + 2*v + 1705 = 0. Calculate the remainder when o is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -7 and -1.3523.\nAnswer: -8.3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 80643 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b2 - -17c?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 12, v: 1}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 27039274*p**3 - 23882267?\nAnswer: 81117822*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ykbnd. What is prob of sequence kdn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is z in -4*z**5 - 8744*z**4 - 34896*z**3 + 34976*z**2 + 139648*z = 0?\nAnswer: -2182, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/30)\/(1\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of 3*s**5\/5 - 2*s**4 + 13*s**3\/9 - s**2\/3 + 2. Suppose b(p) = 0. What is p?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 60\/24*54\/2124*24\/(-45).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/20*374\/11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + (246 - 280 - (1 + -15))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 881065372 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of -2*z**7\/7 + 7*z**4\/12 + 4*z. Find the third derivative of j(t) wrt t.\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 50 and 130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10278*x**2 - 2342*x?\nAnswer: -20556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 17685 - 35512 + 17695 + 580*j**2 + j wrt j?\nAnswer: 1160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 6*d**2 + d + 13. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 526 + -188. Let y = -335 + j. Sort 7, -3, y in descending order.\nAnswer: 7, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**2 + 170*k - 168.\nAnswer: -2*(k - 84)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2868.2 - 2868. What is the fourth biggest value in -0.3, -17, -0.2, p, 52?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 130.227 to the nearest integer.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5941*l**2 + 6*l + 16854.\nAnswer: -11882*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 12:37 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000003411641 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 5 + -9 + 6 - (2 + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/495 + (-1328)\/264 + -16.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 3433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9 + 2 + 57*f**2 + 15 - 7.\nAnswer: 57*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**2 - 6*i + 16. What is v(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 173266970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8771327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 62221 greater than 3414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-750)\/(-12) - (8 + -2)) + 75\/30?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1261963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3*p = 0. Let o(u) = -4*u**3 - 102*u**2 + 51*u - 1. Let t be o(-26). Let k = 20 - t. Put -3, k, -1, p in ascending order.\nAnswer: k, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2479596 and 62916.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 176500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 154882 less than 154878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 + 11*x**2 + 9*x - 4. Suppose 8*i + 4*i + 120 = 0. What is w(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6580 = 16*p + 12*p. Suppose -217*g = -p*g + 162. What is the highest common divisor of 630 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/34 + 106\/(-34). Let c(v) = -v**3 - 4*v**2 + v + 2. Let u be c(-6). What is the units digit of -1 + z\/((-12)\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the second derivative of -c**3\/2 + c**2 - 3*c. Determine h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*j = 18*j - 46*j. Solve a - 11 + 11 = j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4, 678612 in descending order.\nAnswer: 678612, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w**12))\/(w*w\/(w*w**(2\/19)\/w*w)))\/(w**(29\/5)*w**(-33)) assuming w is positive.\nAnswer: w**(1359\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mpogoxoogog. Give prob of sequence mgp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**8*a*a\/((a*a*a**(1\/7))\/a))**(20\/11) assuming a is positive.\nAnswer: a**(1240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -5.039 - 702459.\nAnswer: -702464.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 2980\/(-792) + 6\/(-33)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 23, 1\/21, 9, -2\/7?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -805 divided by 3?\nAnswer: -805\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-66)*(-19943)\/9065?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 25 * -40184.\nAnswer: -1004600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 156593497?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -947*b**3 + b - 27*b**2 + 949*b**3 + 380 + 27*b**2.\nAnswer: 2*b**3 + b + 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -86 - -88. Find the third derivative of -25*v**4 + 2*v - 27*v**2 + 62*v**o - 2*v wrt v.\nAnswer: -600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 9:08 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*v - z + 6, -16 = -v - 3*z - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -61 + 61. Let g = t - 55. Let y = 52 - g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 37*5 + -7 + (-36)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*m**3 - 3*m**3 + 10 - 12 - m**2 - m**3 + m**2 + (-3*m + m**2 + 3*m)*(-3*m - 2*m + 6*m) + 10*m + 3*m**3 - 10*m.\nAnswer: 22*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 655 is divided by 298.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the first derivative of -8*j**3\/3 - 4. Let l(c) = 119*c - 56. Let s(f) = -13*f + 6. Let z(n) = -3*l(n) - 28*s(n). Give z(i(r)).\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185191 = -240*d - 32551. Which is smaller: 638 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of -18*a**5\/5 + a**4\/4 + 13*a**3\/6 - 5*a**2 + 38*a. Let k be l(-5). Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1675 - 1)*(102\/(-24) + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 6) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 288.78645 months?\nAnswer: 0.0240655375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 7\/2 - 1\/(-2). Let n = d - 1. Let l = 3\/163 - -1935\/1141. Which is greater: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 22 + 120431443?\nAnswer: 120432020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 15449 = -13*u + 15501 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -26 in -171007, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -1. Suppose -2*w = 0, 7 + 8 = 3*v + 2*w. Suppose -l*y - 9 = -x + 12, -y = -v*x + 60. Calculate the lowest common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.575527 times 3\nAnswer: -1.726581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 11*p**2 + 6*p + 1. Let v be i(-4). Let t = 464 + -365. Suppose 22*b = 33*b - t. What is the highest common factor of v and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 556 - 3439. Let x = -505 + k. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9\/(216\/16)*-9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (16\/10)\/((-1)\/(-20)). Suppose 4*c + 4*g + b = 0, 0 = 2*c + 2*g + 3*g + 22. Let k = -2 - c. Solve 2*a = 6*a - k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 17 = 5*z, 4 = -5*p + 9. Suppose z*s = -s + 260. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 3*o = -27, -o + 33 = b - 0*o. What is the units digit of 768\/b - (-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w - 1. What is q(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (5*1)\/((-6)\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 333906704363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -4*r - 9 + 22, -3*r + 1 = i. Solve -5*b = -6*b + r for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 324 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3660 + 103088?\nAnswer: 106758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(3 + (sqrt(1300)*-2 - -4*sqrt(1053))**2) + 2.\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - 5794c?\nAnswer: -57949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/(-20)*21060\/66339.\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -2*l**2. Let w(n) = 6*n**2 - 16*n. Calculate q(w(d)).\nAnswer: -72*d**4 + 384*d**3 - 512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -440 and 1.76?\nAnswer: -774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202504820?\nAnswer: 2, 5, 7, 67, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes before 4:10 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/3*(-7 - -1). Let r = 634.07 + 8.93. Let c = r - 642.94. What is the third biggest value in f, 2\/19, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**2\/u)\/u*u*u)**(-40)*(u*u**3)**(-10) assuming u is positive.\nAnswer: u**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -892\/11 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101102110011101122 - -12?\nAnswer: -101102110011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be -6*(-6 - 9\/(-3)). Suppose 18 = 4*s + u. Solve 0 = a - s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, 4421 in increasing order.\nAnswer: -3, 3, 4421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -737*r**2 + 3498. Let g(c) = 4*c**2. Determine k(g(w)).\nAnswer: -11792*w**4 + 3498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 182 + -180. Let u be (b - 2) + (-10 - (60494 - 4)). Round u to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/21 - 6\/(-21). Suppose o - 4 = -r. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*k - 2*m = -6*k + 19 - 150, 5*k - 8*k = -2*m + 107 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 2*w**3 - 34*w**2 + 58*w + 14. Determine m(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 84, 3, 12 in descending order.\nAnswer: 84, 12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*p - 3610 = -318*p + 24*p - 11546 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4.13656 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 100 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8281.9 + -8282. What is the closest to -2\/3 in -156\/7, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 924 - 909. Solve 0 = -d + g, w = 4*g - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j + 10. Let q be x(-4). Let g(d) = 6*d + 15. Let t(k) = -k - 3. Let l(b) = -2*g(b) - 11*t(b). Determine l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k**2 + 187112*k - 4376362568 = 0 for k.\nAnswer: 46778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 52*z - 6*z - 184. Solve -3*r + 3*i - 12 = 0, z*i + 6 = -2*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 79*h - 520. List the prime factors of l(47).\nAnswer: 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let 43*z**3 - 11116*z**2\/3 + 792268*z\/9 - 3095872\/9 = 0. Calculate z.\nAnswer: 208\/43, 122\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80 - 186 + 26*k + 60 + 46 - 54*k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -121 - -124. Suppose -2*l = k*s - 20, -5*s - l = -13 - 25. Put -1, s, -5 in descending order.\nAnswer: s, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -35122 - -1?\nAnswer: -35121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -5*y + 59, 4*p + 0*p - 5*y - 67 = 0. Let w = -7 + 10. Suppose w*a - 5*a = -p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-26)\/24 + (-60)\/(-80).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**3 + 8*d**2 - 20*d + 68. Determine r(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -180024 divided by -23?\nAnswer: 180024\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 461663.1ml to litres.\nAnswer: 461.6631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1550 - -43401\/28. Let p(k) be the first derivative of -1\/21*k**3 + 1\/7*k**2 - 7 - m*k**4 + 0*k. Find y, given that p(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -46a4a7 (base 12) to base 11.\nAnswer: -707878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 380411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -19, -35, -57, -85, -119?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llx when three letters picked without replacement from lssxllllllsslwl?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -8 times 16\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1172 is divided by 45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12878 + 22477. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 + 7*m**2 + 10*m - 12. Let a be o(8). What is the remainder when ((-66)\/a)\/((-5)\/10) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p - a + 5, -20 = 3*p - 2*a - 8. Let c(f) be the third derivative of -f**4\/12 + 7*f**3\/3 - f**2. Let j be c(5). Sort j, p, 6, -5.\nAnswer: -5, p, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1544 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 + 2*w - 4. Let d be h(6). Is 150\/14 - 8\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 3, a: 3, s: 3, n: 3}. Give prob of sequence se.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*u + u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*k - 3*x - 2025 + 1703, 0 = -8*k - 5*x - 237 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 105*f - 96. What is the tens digit of k(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3023 - 2620 = -27*o. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/19602 and -53\/252?\nAnswer: 274428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-884 - 1061 + 1427)*(1 + 1 - 3 + (0 - 3 + 1)*(-3 + 1 + 3) + 5 - 2 - 2)*(i + 2*i**2 - i).\nAnswer: 2072*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1604 and 138553119?\nAnswer: 554212476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 4*t - 4273, 0 = -20*t + 16*t + 4*i + 4288. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, y: 2, j: 1, m: 4, r: 1}. Give prob of picking 1 m and 1 y.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10*-1*(98\/210)\/((-35)\/(-480))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 13 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -2*o. Let u(q) = q - 3. Let a be u(7). Let v(f) = f**2 + 1. Let z(y) = -3*y**2 - 2. Let x(r) = a*v(r) + 2*z(r). Calculate x(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (1223*w + 15*w**2 + 38*w**2 - 1222*w)*(-w - 9 + 0*w + 2*w).\nAnswer: 53*w**3 - 476*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.12 and -2680.\nAnswer: -2680.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are 92206 and 92208 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from orgulrlllrry. Give prob of picking 2 l and 1 u.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/(-880))\/((-1)\/(8\/(-9)))*321\/214.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 m, and 1 o when three letters picked without replacement from qmqjqoqeqqeeoeyjyqq?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1735 divided by 1046?\nAnswer: 1735\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3134 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -150 + 171. Let b(a) = a**3 + 8*a**2 + 6*a - 9. Let u be b(-7). Sort u, 3, j.\nAnswer: u, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112666356034 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 18*m**2 - 2*m - 2. Let a(j) = -j**2 + j. Let z(u) = 5*a(u) + f(u). Is z(1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 16*w + 8*w + 4*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -2*n**3 - 9*n**2 - 8*n + 5. Let c be v(-3). Let r = -4 - -7. Suppose -r*l + 10 = c*l. Solve 4*g = l*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**2 + 12*d + 17. Let j be r(-12). Let f = -63 + j. Let a = 139\/3 + f. Sort -3, -0.1, a in decreasing order.\nAnswer: a, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -24196068 * 0.1\nAnswer: -2419606.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in -37, 0.1, -21, 1447\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 10) to base 3\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u**(4\/9))*u)\/u)**(-2\/109)\/(u*(u**(-10)*u)\/u*u*u**2) assuming u is positive.\nAnswer: u**(5894\/981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m + 23. List the prime factors of o(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -285 (b) -1\/7 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47327 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 66 and 223488.\nAnswer: 2458368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1666 - -1292.5. Let s = 374 + o. What is the closest to 0 in 6, s, 3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-1) - (-6 + -2 + -16). Solve -5*s - n = -4*u, 0*s - 4*u = 2*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 214*i - 49*i**2 - 214*i.\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*((sqrt(228) + (sqrt(228)*1 - sqrt(228)))*-6 - (sqrt(228)*-1*-6 + sqrt(228))))\/(sqrt(1452)*-1*6 + sqrt(1452) + sqrt(1452)*1*-3).\nAnswer: 39*sqrt(19)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 663259994 a multiple of 2801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(11) - sqrt(44)) + -5 + (-3 + (sqrt(11) - sqrt(44)\/sqrt(4)) - (sqrt(99) + sqrt(11))*-5) + 0)**2*2.\nAnswer: -380*sqrt(11) + 7992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 + -1)\/(-8) - 3*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8090\/2871 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/119 (b) 0 (c) -0.38 (d) -0.5 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 3)*((0 - 2*u + 0)*(2 - 1 + 0) - 36*u + 270*u + 12*u).\nAnswer: -244*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -34.6 less than or equal to 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -2*h**3 - h - 7. Determine z(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 + 17*s + 13. Determine i(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the first derivative of -w**4\/4 + 7*w**3\/3 + w**2\/2 + w + 31. Calculate the remainder when 180 is divided by g(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 4*l**3 - l**2 + 6*l - 1. What is d(3)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z - 5. Let a(x) = 1. Let c(l) = -11*a(l) - 2*f(l). Let h(k) = -k + 1. Suppose 0*w - 3*w + 9 = 0. Determine w*c(o) + 3*h(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of -5*l**2 + 0 + 0*l + 0*l**3 + 0*l**4 + 1\/60*l**5. Let a(q) be the second derivative of -q**3\/3 - q. Calculate a(d(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(11) + -2)*-1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/11 (c) 0.1 (d) -3 (e) -21\/4 (f) 2.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.081 from -0.081.\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(567))**2*6.\nAnswer: 13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82*q + 101*q - 189*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, 9, -69052 in descending order.\nAnswer: 9, 4, 1, -69052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 3. Let l be 1\/y*-1 - -1. Solve -w = 1 - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 2*h**2 - 4*h + 11. Let m(y) = -y**2 + y - 6. Let t(j) = 4*j**2 - 17*j + 16. Let a be t(1). Let v(b) = a*q(b) + 5*m(b). Determine v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 23088764 and 9469.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 747042 and 42?\nAnswer: 5229294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (5 - 2)\/((-9612)\/2404 + 4)?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2859.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 66 and 160?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 - h**3 + 19*h + 18*h**2 - 3*h**2 - 3. Let q = -340 - -357. Is p(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2*m + 2. Let d be x(-8). Suppose d = -7*c + 10*c. Is (19\/(-3))\/(c\/(-36)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -10*s**4\/3 + 966*s**3 - 174100*s**2\/3 + 100968*s + 67568\/3 = 0.\nAnswer: -1\/5, 2, 82, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30 and 22.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 2*j**2 + 96. Let m(p) be the third derivative of -p**4\/12 + 115*p**2. Give a(m(x)).\nAnswer: 8*x**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xzj when three letters picked without replacement from zxnxnxxjx?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9033528.\nAnswer: 2, 3, 7, 17, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 10284 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, -2, 5 in descending order.\nAnswer: 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + 2. Suppose g*y = 470 + 545. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**3 + 37*p**2 + 26*p - 333. What is t(-36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 3*i**3 + 10*i**2 + 7*i - 3. Calculate v(-6).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5029 = -531*f - 2159 + 6688 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -8e1 (base 16) to base 4.\nAnswer: -203201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g. Suppose -j + 3*a + 20 = 0, -1 = -3*j - 2*a + 4. Suppose 0 = -3*i - 0*r + 4*r + 1, 6 = 4*i - 3*r. Let k(n) = -n + j*n - i*n. Give s(k(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3 + 391*s**2 - 2373*s + 3573.\nAnswer: (s - 3)**2*(s + 397)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-600)\/18)\/10*3\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.1 (b) 3234 (c) -8 (d) 4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 + 4)*(a - 2 + 2) + (-10*a + 7*a - a)*(-5 + 4 + 3)*(-2 + 7 - 2)*(3 - 4 + 4).\nAnswer: -63*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/385*(-242)\/(-11)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -2*c**2 + c + 390. Let l(h) = 19*h. Determine s(l(a)).\nAnswer: -722*a**2 + 19*a + 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -5*n**3 + 2*n**2 + 4*n - 9. Let u(v) = -2*v**3 - 4 + 14*v**2 + 2*v - 7*v**2 - 6*v**2. Calculate -4*a(m) + 9*u(m).\nAnswer: 2*m**3 + m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**2 + 18*c - 81. Let v = -8132 - -8142. Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7847*s**3*x + 2*s**2*x - s*x - 1625 wrt s.\nAnswer: -47082*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**1)**(-38))**27)**(1\/5))**(-4) assuming y is positive.\nAnswer: y**(4104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -27.5432 to one dp.\nAnswer: -27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 372 minutes before 9:10 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 3*m = -84. Let g = 30 - m. Let h(w) = 13*w + 8. Let t be h(g). Calculate the greatest common factor of 34 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 231106 or 229321?\nAnswer: 229321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234 is divided by 95?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 77, 0.4 in decreasing order.\nAnswer: 77, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34480.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16 - (-9 - (-3 - 14))) + -18 - 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 2*f**3 - 36*f**2 + 34*f + 98. Let s be z(17). Solve 58*b - s = 72*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f**2 - 9*f - 34. Let u(q) = -5*q**2 - 17*q - 69. Let y(t) = 11*s(t) - 6*u(t). Differentiate y(c) with respect to c.\nAnswer: -6*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.34 times 0.6?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4389595 and 18370?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*16 + 2 + -3. Suppose 5*u - 2*c + c = -o, 3*u - c + 7 = 0. Let b = 6 + u. Solve q + 0 = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3256 and 1147333?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0, 10, 7, -14, 3 in ascending order.\nAnswer: -14, 0, 3, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -21*x + 94. Let a be f(6). What is the common denominator of ((-278)\/a)\/(153\/(-68)) and 43\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3238173137 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes before 7:39 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than -216401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 7*g - 2. Let i be f(2). List the prime factors of (-2)\/i*4*-15.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -368549286 by -1144563.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 42? (a) -0.02 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 18\/(-9)*621\/483?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -7*s**3 - s**2 - s - 1. Suppose -4 = 4*v - 0. Let f be o(v). Suppose 3*q = -2*c + 6, -f = -2*c + 4*c - 3*q. Is c < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 656*f - 12289. Calculate l(19).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 1273*u**2 - 11*u - 23. What is the thousands digit of g(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -34*v**3 - v**2 - 3*v - 1. Let c be (15\/(-30))\/(1\/(-20)). Suppose 0 = -c*x + 15*x + 5. What is the units digit of p(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/12 and (-13685)\/(-77154) + (-86)\/1419.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1728834*o - 124*o**2 + 1728834*o.\nAnswer: -124*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 31840, 31494, 31148?\nAnswer: 30802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -5344 smaller than -5340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*y - 8*y - 10 = 0. What is the third derivative of -27*u**y - 11*u**3 - 3*u**3 - 3*u**3 wrt u?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-18 - 6)*1\/2. Let f be (-7)\/98*-8 - 124\/(-28). Sort k, 4, f, -1.\nAnswer: k, -1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/28 and (524771\/(-1092))\/37 - -13.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 3*z + 20. Let o(x) = -x**2 - 7*x - 7. Let f be o(z). Put -2, -4, f in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 - (-5 - (-901)\/187 - (30\/(-55))\/3). Factor 0*k**3 + 2\/13*k**4 - 4\/13*k**g + 2\/13 + 0*k.\nAnswer: 2*(k - 1)**2*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 25*1 - 108\/18. Suppose 4*i + 2970 = s*i. Is 66 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {a: 1, s: 5, t: 4, b: 3}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o**4 + 23164784*o**3 - 92659060*o**2 - 69494376*o + 416965824 = 0 for o.\nAnswer: -2, 3, 5791192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 + -1001011?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37 and 3589?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -381 = 265*l + 1474 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1635 (base 7) in base 13?\nAnswer: 3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from xqlxzqfxflkflxffq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1108606.\nAnswer: 2, 554303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, -6, -61598 in increasing order.\nAnswer: -61598, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-3))\/(6\/(-522)). Suppose -2*r + f + 1 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -96 - -96 - ((-25)\/5)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 297 less than 0.11?\nAnswer: -296.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:49 AM and 3:42 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*k**3 + 0 + 0 + (2*k - 4 + 4)*(0*k**2 - 2*k**2 + k**2) - 3*k**3 - 2*k**3 + 3*k**3 + 29*k**3 + 20*k + 8*k**3 - 20*k.\nAnswer: 31*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -4554310 (base 8) in base 15?\nAnswer: -195e7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -234*g + 59*g + 66*g - 7902 + 56*g + 55*g to v*g + j and give j.\nAnswer: -7902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -186*s + 1 - 3 - 442*s + 122*s to the form j + p*s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.497 - -0.49699422. Round k to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 568105174?\nAnswer: 2, 7, 13, 3121457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00051960713 rounded to 7 decimal places?\nAnswer: 0.0005196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 450.5712 and 6590556?\nAnswer: 6590105.4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) + sqrt(76)*3)\/sqrt(4) - ((sqrt(76)*-1 - sqrt(76)) + sqrt(76))\/sqrt(4).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 6*m - 6. Let j(p) be the second derivative of -p**2 + 0 - p + 1\/3*p**3. Suppose 149*k + 38 = 153*k - 2*w, 5*w = -15. Calculate k*j(h) - 3*g(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -1861.48 * 245.\nAnswer: -456062.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -11, 45, 197, 493, 981?\n\"Answer: 8*j**3 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor t**3\/4 - 98221*t**2\/4 + 491063*t\/2 - 392844.\nAnswer: (t - 98211)*(t - 8)*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1\/5, -5\/7, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2.7076 (b) -12 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(-2) - 5\/(-2). Suppose -2*x + 78 = -n, -5*n + 9 = -1. Suppose -b*k + 22 = -v + 2*v, 5*k = -2*v + x. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 16589, 33201, 49813, 66425?\n\"Answer: 16612*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.2 and 147.\nAnswer: 146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -68 + (14 + 1 - (74 + -91))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 17 = -4*a. Suppose 0 = 22*x - 1168 - 372. What is p in x - 14 + 40*p + 27 + a + 4*p**2 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 11*b - 34. Let n be v(19). Solve 159*o - n*o + 128 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4*k + 2*k + 3, 5*k = -4*r + 24. Let n = -159 + 176. Solve r - n = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49523?\nAnswer: 49523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9715 and 14046875?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 11664207 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 399359.\nAnswer: 29, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2577?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -0.2, -234, -1\/19, 8, -4\/3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuuuuumum. What is prob of sequence uu?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 151564?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -881.055 to 0 dps.\nAnswer: -881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 8) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 1 - (14 - (-11 + (9 - -20))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -32, -12 in descending order.\nAnswer: 2, -12, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((4\/14)\/(((-346)\/4844)\/((-6)\/(-4))))\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let q be (-786)\/(-4)*2\/3. Let r be (q\/1)\/(-5 + 4). Let w = -73 - r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 40\/(12 + -9 + 520\/(-174)). Round w to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -139 (b) 2\/3 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2102012021 - 2?\nAnswer: -2102012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f**2 + f - 11*f - 21*f.\nAnswer: f**2 - 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.3 + 0.2. Suppose 2*i + 34 = 4*a, -i + 4*i - 37 = -2*a. Suppose -x - x + 5*t = -1, -4*x - 3*t = a. What is the biggest value in x, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2887 in 1\/6, 2\/11, -0.4, -4, -0.168, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -264*s + 120*s + 132*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -46 = 3*i - 9*i + 4*t, 0 = 4*i - t - 48 + 9 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -129906 divided by -174\nAnswer: 21651\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g**2 + 69*g + 925. Determine a(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**2. Let x be w(2). Let o be 2\/4 + x + -11. Let g = -6 - o. Is -0.2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -0.4, -115, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8.44 + 15.44. Put -1.2, -3, k in decreasing order.\nAnswer: k, -1.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -153533 (base 6) in base 10?\nAnswer: -15105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -6*v + 5. Let c be 5\/(4\/((-16)\/(-10))). Suppose 6 = -2*s - 4*g, -c*s - 13 = s + 2*g. Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**0\/d)**(-9))**(-2\/99) assuming d is positive.\nAnswer: d**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8096700 is divided by 5936.\nAnswer: 5932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -263 or -9261?\nAnswer: -9261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9017009\/106 + -85067. Find the common denominator of -77\/10 and j.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 3*n - 5 = 0, 2 = m + 5*n + 5. Suppose -220 = -3*s - m*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k - 6*l + 58 = -0*l, l - 1878 = -1871 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of -61*u**3\/3 - 1063*u. Let p(i) = 77*i**2. Give b(p(n)).\nAnswer: -9394*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mky when three letters picked without replacement from papmaapkymp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5118876 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -324*a**4 + 4665528*a**3 + 5702720*a**2 + 1094472*a + 57604 = 0. What is a?\nAnswer: -1, -1\/9, 14401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 18*c*i**2 + 2*c*i + 295*c + 123756*i**2 - 2*i + 25292 wrt i?\nAnswer: 36*c*i + 2*c + 247512*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 + 70. Let n(a) = -1201 - 4*a + 2365 + 5*a - 1144. What is n(j(f))?\nAnswer: -f**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/10)\/((-25)\/(-20)) + (-23205)\/(-14625)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -954?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from {a: 5, o: 1, w: 3, v: 5, k: 2}?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + 3))*-1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -68 (b) -11 (c) -0.2 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11768229.\nAnswer: 3, 11, 29, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00092205 rounded to five decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 4451.5 <= -1262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -t + 5. Let q = -5 + 5. Let x be u(q). Let d(n) = -7*n + 2. What is the common denominator of d(x) and 23\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 minus 1990916?\nAnswer: -1990915.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 + 17. Let t be 6\/18 - (-1)\/(-3). Suppose -z + 7 - 3 = t. Put -2, b, z in increasing order.\nAnswer: b, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -25.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, 1, -1\/21, 2\/3, 19?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*m**2 + 0*m + 0*m)*(37 - 20 + 19)*(m - 4*m + 5*m)*(7 - 1 - 1) + 4*m**3 - 3*m**3 + 6*m**3.\nAnswer: -1073*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 8192012647753 + 2?\nAnswer: 8192012647755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sum -121145891.3 and -946.\nAnswer: -121146837.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1.21 times -3.799?\nAnswer: -4.59679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 16) + 39 + -36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 143127 and 486.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.44 + 0.88. Let f = -0.4400506 + u. Round f to 6 decimal places.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.07 - -0.03. Which is the nearest to s? (a) 2\/7 (b) -5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73573 is divided by 73430.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 2*r - 9, -3*h = 5*r - 378. Suppose 0 = -2*v + z + h, 5*v - 2*v = -4*z + 198. Does 31 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -94681\/3174 + -5\/1587. Let j(v) = v**3 - 8*v**2 - 5*v + 10. Let h be j(8). Let w = z - h. What is the second biggest value in 0.4, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3200466079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 5 - 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 14176, 14202, 14240, 14296, 14376, 14486?\n\"Answer: a**3 + 19*a + 14156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -4*h + 48, -7 = 2*y - 5*h + 23. Let r = y + 10. Factor 1\/3*b + r - 1\/3*b**2 - 5\/3*b**3 - b**4.\nAnswer: -b*(b + 1)**2*(3*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a = -2*a - 5*x + 499, 5*x = -4*a - 549. Suppose 5*w = 2*w - 192. Let r = w - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7.6 + -9. Let q be ((-34)\/(-102))\/(4\/(-3)). Which is the nearest to 0? (a) p (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r = -4*r + 3396. Suppose 0 = 2*t - j - 2558, 0 = -2*t - 5*j + 1992 + r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -20*w**2 + 34*w + 1. Determine p(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1966 a factor of 192158806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 5651, 5634, 5595, 5528, 5427, 5286, 5099, 4860?\n\"Answer: -v**3 - 5*v**2 + 5*v + 5652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 147\/27 + (-225)\/45.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/(-2))\/(4\/(-56)). Is 1\/v - 1368\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13)*2*6 + sqrt(13) + ((sqrt(325)*1 - sqrt(325))**2 - sqrt(13)) - ((sqrt(13) + (sqrt(832) - (sqrt(832) - sqrt(832)*-1)))*3)**2.\nAnswer: -5733 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00107325605 rounded to 6 dps?\nAnswer: 0.001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -15 and 51\/641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1\/4, 6\/11977, 23\/8?\nAnswer: 6\/11977","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the second derivative of d**4\/12 + 4*d**3 + 105*d**2\/2 + 143*d. Calculate i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -3713, -14457, -32223, -56999, -88773, -127533, -173267, -225963?\n\"Answer: 2*a**3 - 3523*a**2 - 189*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 - 6 = -4*v. What is the least common multiple of 6 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2.8817 equal to 3\/580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1868 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -30*y + 44*y + y**3 - 6*y + 2 + 9*y**2. Let l be (3\/(-6))\/((-2)\/(-32)). Let j be b(l). Solve j*p = 3*o - 19 - 6, 0 = 5*o - 3*p - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*q + 57*q - 6*q)*(-q**2 + 7*q - 7*q) as u*q**3 + a*q + s + o*q**2 and give u.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/8, 5\/2, -1204?\nAnswer: -1204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21370?\nAnswer: 2, 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n - 3. Let m be s(6). Let u be ((-195)\/2)\/(m\/(-6)). Let z be ((-52)\/u)\/((-14)\/(-5)). Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 2 p when four letters picked without replacement from {k: 6, p: 3, o: 6, u: 4}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be 10\/(1\/(1\/(-2))). Let a be -2*y\/(-10) - (-10)\/2. Suppose 0*s = s + 2*r - 7, -s + a*r - 5 = 0. Solve -t - 11 + 0 = s*o, -4 = 4*o + 4*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-1)*3*((-2)\/1)\/28\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 6*j + 4155 = -3*j, 2*j - 1390 = -y. Suppose 3*r - r = y. What are the prime factors of r?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 2*s + 3. Let r(l) = 6*l - 184. Let b be r(31). Let n(a) be the first derivative of 3*a**2 + 10*a - 48. What is b*n(j) - 7*k(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 306 + 12. What are the prime factors of y?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142*t - 197272 = -150*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-16185)\/936 + (-156)\/(-96)\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 3:54 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 422013 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 687 - 438. Let v = -150 + h. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from brirwisiiisiir.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 3 = -2*h, -4*q + 1 = 4*h + h. Let n be ((-3 - 57)\/(-4))\/q. Let r = 35 + n. Solve -5*g = -4*d + d + 21, 4*d = 4*g + r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*d**3*h**3 + d**3 + 436*d*h**3 - 67*d*h**2 wrt h?\nAnswer: 12*d**3 + 2616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/79401760 and -61\/32.\nAnswer: 79401760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2 - 41*t - 200. What is x(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**2 + d - 4. Let k be a(-4). Suppose k = n - 5*f - 12, -4*n + f = -23. Solve 4*w + n*s = -37, 0 = 3*w - 2*s + 4*s + 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 35*i - 31*i. Let x be -1 + 2\/6*17. Solve 0 - x*s**3 + i*s + 4\/3*s**2 = 0 for s.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6\/(-39) + 29\/(-65). Suppose 2*s = 4*s + 508. Let w = 3300\/13 + s. Put y, w, 0.1 in ascending order.\nAnswer: y, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from ytxni?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 133 is divided by 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29325 and 80767.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o + 3*o + 0 + 2)*(o - 3*o - 16*o) in the form g*o**2 + z + f*o and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (7 + -8)\/(2\/(-12)). Is 40\/w*3\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 23, 2, -3, 0, 5 in decreasing order.\nAnswer: 23, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5*i = 11 - 115, 2*i = -2*o + 76. What is the remainder when o is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 14476746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 82150981 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 1. Suppose -8*p = -5 + 21. Is v < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 227 + -225. Suppose 0 = -5*a - 12*u + 7*u + 1265, -a - c*u + 250 = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 14*q**2 - 4*q + 56. Determine t(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**2 + 7*x - 1. What is r(5)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1396 = 5*x + 4*b - 1346, -4*x + 4*b = -68 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 6*g**2 + 1. Let q be l(1). Suppose -q*s = -3*s - 72. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (2*-2 + 1)*-1. Suppose 2*n + 8 = -0*q - 4*q, l*n = 4*q - 62. Let m = n + 26. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 PM and 8:40 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of 2*y**5\/5 - y**3 - 417*y**2\/2 + 454*y + 5318. Differentiate d(c) with respect to c.\nAnswer: 8*c**3 - 6*c - 417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -5*f - f**2 - 2*f - 2*f + f. Let r be (4 - (-35)\/(-5)) + -3. What is the tens digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10111001 (base 2) to base 14.\nAnswer: d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 638 and 1.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*s - s + 12. Suppose -v = s*v. Let h(k) = -k**3 - 8*k**2 - 8*k - 4. Let d be h(-7). Solve v = -d*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 - 17*i + 3. Let k be y(20). Let q = -24 + k. Let d = q - 37. Solve m - 15 = -d*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -295*i = -889*i + 19008 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ledlelllllereoe. Give prob of sequence eo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7800456.\nAnswer: 2, 3, 325019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -5541970 by 5.\nAnswer: -1108394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 101 - 6522*w**3 - 16*w**2 - 101 + 16*w**2.\nAnswer: -6522*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 + 23*n - 40 - 27*n - 51*n + 0.\nAnswer: -55*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -3*f - 3. Suppose -2*z - 6 = z. Let n be i(z). Solve 2*p + 20 = -n*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2634 divided by -878.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from azaaahhahahrabr. Give prob of sequence ab.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -2 - 3. Put s, 1, -3 in decreasing order.\nAnswer: 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*q - 197. Let w = q + 271. Calculate the greatest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -5, -1 in descending order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12925 is divided by 1882.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 1 + sqrt(3) + 0.\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tsi when three letters picked without replacement from cysttyitwwsc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (2 + -10)*(-371)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + -507?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*l + 22*l - 2*l to r + n*l and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1120 or 1119?\nAnswer: 1120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7834, 8004, 8174, 8344, 8514?\nAnswer: 8684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 1 = -2*w. Suppose w*j - 4*u = 7*j - 335, 0 = 2*j + u - 131. Suppose i + 4*g = -g - 9, -5*i + j = -2*g. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c + 14. Let a be f(-3). Suppose a*v - 5 = 15. What is the least common multiple of v and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 9 + 7. Let z = -19 + 27. Calculate the smallest common multiple of z and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-110)\/(-30) - (-48)\/36. Solve 0 = -r*i + 4*z, -6*z = -5*i - 11*z - 45 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 2*x**2 - 5974*x + 1954524 = 0.\nAnswer: 374, 2613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, y: 1, d: 1, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 397\/790 - 1\/395. Let t = 7.03 - 0.03. Let r = -11 + t. What is the nearest to -0.3 in z, 2\/13, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1100 - 1109. Suppose 0*d + d = -2. Let k be (168\/16 - 12)\/(6\/2). Which is the nearest to 0.1? (a) d (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i**3 - 2586*i**2 + 293055*i - 290472 = 0.\nAnswer: 1, 133, 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1184647 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 x = -102 + 712\/7. Which is the nearest to x? (a) 0.4 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1095)\/(-40) - 8) + -4. Let r be (-5)\/(3\/(-36) + 4\/(-16)). Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -12482*j**2 - 3476*j - 242.\nAnswer: -2*(79*j + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 4 - 3*v**2 + 3850*v**3 - 3850*v**3 + 2*v**4 + (5*v**2 - v**2 - 3*v**2)*(3*v**2 - 1 + 1).\nAnswer: 5*v**4 - 3*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 76 - 7. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -3*b - 3*r, 0 = 3*b + 2*b - 5*r - 25. Suppose b*y + y = 2. Suppose -5*x = y - 22. Is x 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 1014263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -58.1 - -58.5. What is the fourth biggest value in -4, 0.1, s, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.640655 rounded to 3 decimal places?\nAnswer: 3.641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 116.702 to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in fourty-eight fifths of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -433 (base 5) to base 6.\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*g + 0 + 537\/2*g**2 - 1\/2*g**3.\nAnswer: -g**2*(g - 537)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is w in -159*w - 13*w**3 - 659*w**4 - 8*w**3 + 656*w**4 + 66 + 117*w**2 = 0?\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182956512?\nAnswer: 2, 3, 1905797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 0.012?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 779473533 to the power of 1\/2, to the nearest integer?\nAnswer: 27919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 608396 is divided by 55296?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 4*d + 7, 2*h + h + 5*d - 25 = 0. Suppose h*v - 2390 = 2145. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9333 and 11991868.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = h - 30. Let v = 3 + h. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {h: 4, l: 11, z: 4}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Do -63964443 and -63964444 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssssjsjsss. What is prob of sequence ssjj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000553030748 to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 2*n - 27. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 + 2*m - 4. Let l be k(-4). Suppose -2*y + 29 + 13 = 5*w, 2*w - 84 = -l*y. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*k - 2684 = -2450 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3016147, -3016154, -3016181, -3016240, -3016343?\nAnswer: -3016502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3222 = 5*v - 1653. What is the greatest common factor of v and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 + -3. Let d(t) be the second derivative of -t**3\/3 + 5*t**2 + t. Let s be d(o). Solve -s = -4*i + 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + -5*(sqrt(288) + 0) + -6*sqrt(8)\/(sqrt(4) - (sqrt(4) - sqrt(36))))**2.\nAnswer: -620*sqrt(2) + 7713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (s - s - s)*(0 - 13 + 6)*((-3 + 0 + 5)*(7 + 5*s - 7) + (0 + s + 0)*(-2 + 2 + 2)) to v + b*s + t*s**2 and give t.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 238 divided by 6778799\nAnswer: 238\/6778799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101100011011000011 + 1000111010?\nAnswer: 101100100011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1 + 2 + -10 - (46 - 50) - (70 - -1)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that -3*h**4 - 474*h**3 - 14463*h**2 - 162084*h - 618540 = 0.\nAnswer: -122, -13, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*a**4 - 783*a**3 - 14*a**2 - 566828*a wrt a?\nAnswer: -24*a**2 - 4698*a - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w - 1. Let d(p) = p + 2. Let z(l) = -d(l) - 2*u(l). Suppose -40*c + 863 = -257. Let m(q) = 13*q - c*q - 2*q + 9*q. Give z(m(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 1946*n**2 - 2*n - 3. Suppose 4*m + 2 = 2*m. Let s be h(m). Suppose -v + 60 = -5*d - 450, 4*v - s = d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -21*w + 2. Calculate the remainder when (83 - 16758\/196)*(-34 - 0\/1) is divided by c(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 4 = -4. Let u(x) = 47*x + 3 + 15*x + 10 + 2. What are the prime factors of u(q)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/10 + a**2\/5 - 119*a\/10 - 294\/5.\nAnswer: (a - 12)*(a + 7)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -20022 + -1222?\nAnswer: -22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 320493?\nAnswer: 3, 47, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 73 at least as big as 193.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7497 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v + 12 = -4*w, 4*v + 4*w = 2*w - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2403434412 (base 5) in base 6?\nAnswer: 314312355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 12 = 0, 4*x + 19 = -2*d + 61. Suppose 2*z = -4*q - 2*z + 1508, -4*z = -x. Is q a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (52\/10)\/((-28)\/(-1440)). Let j = 268 - x. Does j = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12964181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.31 times -3768.4?\nAnswer: -1168.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 382502 is divided by 127221.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + (-2 - -6 - (9 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -464086 (base 11) to base 12\nAnswer: -2b6938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-8)*-2*10\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(1539)*-3)**2.\nAnswer: 13850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -7406*y**3 - 10*y**2 + 11*y - 10. Let s be q(6). What is s rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -14613091 - -39530190. Let v = -24917096.99999956 + g. Let b = v - 2. What is b rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18*9*9\/324*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 98 and 5748582.\nAnswer: 5748582","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -6*i**2 + 16*i + 10. Suppose -32*w = -30*w + 12. Let p be t(w). Let x = p + 520. What are the prime factors of x?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -990 in -3, -1, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3023030450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 32 - -26?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*k**2 - 624752*k + 87692 wrt k?\nAnswer: 4*k - 624752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/35 (b) -2\/5 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 7, -1, 0 in increasing order.\nAnswer: -1, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -2*r**4\/9 + 104*r**3\/9 + 214*r**2\/9 + 12*r = 0.\nAnswer: -1, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**3 + y**2 + y - 2. Let p be h(-2). Let a be 1 + 65 - (p - 12). Suppose 7 = -5*i + a. Calculate the highest common divisor of 44 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -24*g**2 - 3*g + 38*g**2 - 17*g**2 + 5*g**2 - 30*g**3 - g**4 as c*g + a + p*g**4 + b*g**2 + d*g**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) be the first derivative of l**5\/15 + 11*l**4\/6 + 12*l**3 + 111*l**2\/2 - 222. Let f(q) be the second derivative of w(q). Factor f(c).\nAnswer: 4*(c + 2)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9349012*a + 21224 - 9349013*a - 21224.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6682 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -46*l**4 + 269*l**3 + 647506*l**2.\nAnswer: -1104*l + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3394 - -26073. Is 253 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-823 - 463 + 318)*(3*h - 4*h + 3*h) - h - h + 4*h + 5*h - h - 5*h to a*h + o and give a.\nAnswer: -1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -955, -956, -957, -958, -959?\n\"Answer: -w - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -20037.45243 to one decimal place.\nAnswer: -20037.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 765350.7 kilograms in nanograms?\nAnswer: 765350700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**2 + 37*l + 121. Calculate the remainder when j(39) is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 3, u: 3, e: 5, y: 2}. Give prob of sequence yuy.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - 6) + 0 + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 220584*g. Let l(c) = 728*c. Give 3*b(d) - 910*l(d).\nAnswer: -728*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = 135337 + -135339.00642. Let r = k + 0.01092. Let y = 2 + r. Round y to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11 - -14. Suppose 4*o - 2*o = 0. Factor -d**3 - 1 - 1 + o*d**3 + 0*d**3 + b*d.\nAnswer: -(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b059 - -657?\nAnswer: b6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-3\/11))**(-37)*((((x**18\/x)\/x)\/x)\/x)\/x**18 assuming x is positive.\nAnswer: x**(67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of 5*u**4\/2 - 15*u + 2. What is the first derivative of j(m) wrt m?\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4321*n + 2*o = 4317*n + 38, 7*o = 21 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 2*c + 3. Let w(m) = m**3 - 7*m**2 - 9*m + 2. Let r be w(8). Calculate the remainder when 20 is divided by ((-22)\/r)\/(c\/9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*m**3 + 293*m**2 + 70370*m wrt m.\nAnswer: 66*m + 586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0007523637 to six dps.\nAnswer: -0.000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 294 and 187314750.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, e: 2, z: 1, u: 1, o: 4}. What is prob of picking 1 u and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -219 - 0.55\nAnswer: -219.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 AM and 9:33 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -40*i - 1. Let t be n(-1). Suppose p - 4 = -5*g + 11, 4*p - g - t = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 4)*(-36*g**5 + 212*g**5 + 576*g**5 + (-3*g**3 + 0*g**3 + 2*g**3)*(3*g**2 + 3*g**2 - 4*g**2)).\nAnswer: -750*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 greater than -1\/230219998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*g**5 - 232*g**3 + 232*g**3 + (-2*g + 2*g - g**2)*(2*g**3 - 4 + 4) + (8*g - 10*g**3 - 8*g)*(0*g**2 - 4*g**2 + 2*g**2).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7483 + -34?\nAnswer: -74b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 73565059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 106 + 181. Let t = -653\/2 + y. Calculate the common denominator of t and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**3 + 10*a**2 + 5*a - 20. Let n be u(8). Suppose n = w + 8. Suppose j - w = 70. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 34 and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9 at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -65*h + 41*h + 24*h + 617*h**2.\nAnswer: 617*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3*c**2 - 12*c - 2. Let b(n) = 4*n**2 + 13*n + 3. Let y(o) = -o**3 - 52*o**2 - 54*o - 156. Let t be y(-51). Give t*w(p) - 2*b(p).\nAnswer: p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + -1)\/(1\/2 - 36\/56)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23 + 35. What is the remainder when (0 + -2 + -20)\/(2\/(-4)) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9, -12, -17, -24, -33?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -146 (c) -1.3 (d) -5 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -17. Let b = -44 + s. Let g = b - -18.0041. What is g rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s = -5*s - 16. Let c be (-4)\/8*-2*s. What is the tens digit of -6*(c + -13) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 + 6*w**2 + 6*w + 6. Let r be k(-5). Let b(m) = 20*m**3 - 1. What are the prime factors of b(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(176) - (1 + sqrt(176)))*-3)**2 + (-2 + sqrt(1100) + sqrt(1100) + 1)**2 + ((0 + sqrt(1331))*-3*1 + 4)**2.\nAnswer: -304*sqrt(11) + 16405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.04, -3, 0.4, -14186?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.88 - 0.12. Let z = 0.159 + -7.059. Let q = 4.9 + z. Sort 0.5, q, o, -0.1 in descending order.\nAnswer: 0.5, -0.1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-18)\/(-8) - 2)\/(24\/264*583\/212). Suppose 3*p - 6 - 12 = 0. Suppose 3*w + p = 6*w. Solve -w*y + 16 = 5*v + m, 2*y = 4*v - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 93241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 312791844 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21 + 15. Let b(s) = -s - 3. Determine b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 3)*(8 + 11487*w - 2616*w - 8 + 15139*w).\nAnswer: 24010*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 416 = 5*p, h - 1 = 2*h. What is the least common multiple of 24 and p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**2\/5 - 11024*d\/5 + 44032\/5.\nAnswer: 4*(d - 2752)*(d - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1438 - -1437.883. What is z rounded to 3 dps?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 716379199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 7*l = -6300. Suppose 3*t - l = -0*t. Suppose -r = -6*r + t. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -19*b**2 + 5*b - 5. Let h be o(2). Let m = h - -71. Suppose n - 23 = -5*u, -10 = -u - m*n - 2*n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(4)\/sqrt(50) + -3)**2 - (-5*-4*sqrt(242)*-1)**2.\nAnswer: -2419773\/25 - 6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -45*w**2 + 121483*w - 802514.\nAnswer: -(w - 2693)*(45*w - 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-1*sqrt(143) + sqrt(143))\/(sqrt(176)*4).\nAnswer: -5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-20 + 25 - (5 - 1)) + 2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*j**6*v**3 - 483*j**6*v - 35*j**2*v**3 + 2*j**2*v + 3*v**3 + 1 wrt j?\nAnswer: -480*j**3*v**3 - 57960*j**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 r, and 1 s when three letters picked without replacement from {f: 1, r: 1, k: 3, s: 1, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -26671, -43211, -59749, -76285?\nAnswer: -92819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - b - 2*b)*(b + 3*b - 6*b) + 8*b**2 + 2*b**2 + b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the first derivative of -11*d**4\/4 + 2*d**3\/3 - 17. Find the third derivative of k(v) wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1083*j**2 - 2078*j + 4313991 wrt j?\nAnswer: 2166*j - 2078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 313 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddgdggg. Give prob of picking 2 d and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -4*l**2\/5 + 1276*l\/5 - 9952\/5 = 0.\nAnswer: 8, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(3\/8)\/(s*(s**8*s)\/s*s))**(-3\/7)\/((s*s**(-6)*s*(s\/s**(4\/9))\/s)\/(s**(2\/19)\/((s*s\/(s\/(s\/(s\/(s**(-8)\/s)))))\/s))) assuming s is positive.\nAnswer: s**(24179\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - -4) + -4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 735 and 57575.\nAnswer: 172725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 82*p - 500*p - 599*p - 42*p as o*p + q and give o.\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4074 - 4072. Let f(d) = -d**3 + 4*d**2 + 6*d - 1. Let o be f(5). Let v be (o - 57\/15)*a. What is the closest to v in -4, -0.2, 25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 7) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**4 + 1226020*o**3 - 187889404026*o**2 - 375782486120*o - 187891856072.\nAnswer: -2*(o - 306506)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 - -49. Calculate the lowest common multiple of 1\/(-2)*g\/(-7) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 1783*o**2 + 190*o + 1493. Is v(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0, -131 in decreasing order.\nAnswer: 0, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 1)*(-3*v + v + 0*v)*(-10 + 8 + 14) + (4*v - 2*v - v)*(1 - 3 - 1).\nAnswer: -27*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -4*o + 20, 2*r + 9 = 2*o - 7. Let t(g) = -o + 0*g**2 - g**2 + 3 + 7*g. Let m be t(6). Solve 0 = -0*a + 3*a, 5*j = m*a + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 + 5*i**2 - 6. Let j be (-7)\/21 - (-2)\/6. Suppose 5*x + 16 + 9 = j. Give m(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 22422, 89404, 200946, 357048, 557710, 802932, 1092714?\n\"Answer: 22280*a**2 + 142*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4.89 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 5 = r + 4*x, 0 = -2*r - x - 28. Let o be 3 + r\/(-48)*-10. Which is the closest to -1? (a) 4 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/21 - 1260\/4851.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -45*r**2 + 23*r**2 - 33*r**2.\nAnswer: -55*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 1102*f - 1111*f - 279 = 0 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 30460756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*l**5 + 2*l**3 - 2*l**3)*(-1479 + 1064 + 1814)*(2 + 3 - 3).\nAnswer: -11192*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -36*h**4 - 4*h + 19. Let q = 36 + -43. Let y(z) = -72*z**4 - 7*z + 37. Let v(d) = q*m(d) + 4*y(d). What is the first derivative of v(k) wrt k?\nAnswer: -144*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.1 and -26227090.801.\nAnswer: -26227090.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000005850063765 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4837027277?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 - 30*r**2 + 55*r + 33. Let u be o(28). Suppose -2088 = -u*b + 2*c, -4*c + 3650 = 6*b + 1138. List the prime factors of b.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - -4. Let d = -7 + j. Let f = 28076 - 28074. What is the nearest to 1 in f, -2, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 10) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -3*m. Calculate the least common multiple of -10 - -18*(-34)\/(-51) and 6 - (-2 + m - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-1)*(-1 - 18). Let u(t) = -16*t + 24. Let d be u(-8). What is the greatest common factor of d and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -2576*5\nAnswer: -12880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -74*x**2. Let y(a) = a - 2. Let r(t) = -2. Let d(v) = -v + 3. Let g(b) = 3*d(b) + 2*r(b). Let j(k) = -4*g(k) - 10*y(k). Calculate i(j(p)).\nAnswer: -296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 17*b**2. Let o(c) = -55*c**2 - 13*c - 1. What is o(n(r))?\nAnswer: -15895*r**4 - 221*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 - -4636?\nAnswer: 4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 450, 509, -2, 0, -5 in descending order.\nAnswer: 509, 450, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -22, 1, 5, 124 in decreasing order.\nAnswer: 124, 8, 5, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68*h = 67*h + 84. Let w = h - 59. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 112385199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j + 16. Let i(w) = 4*w + 46. Determine 10*h(n) - 3*i(n).\nAnswer: -2*n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**2 + 6*x + 5. Suppose 0 = -0*y + 5*y + 2*i + 36, -5*y = -i + 27. Let z = 67 + -39. Let p be (-2)\/(-3) + z\/y. Give m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -24*y - 9. Let z(n) = 24*n**2. Give a(z(q)).\nAnswer: -576*q**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 7:21 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 532698958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -32 - -31.71. Let t = -0.79 - o. Let u = -0.1 + 0. What is the second smallest value in 5\/3, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 AM and 11:59 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -565*y + 3. Let q be l(-3). Is q\/42 - (-6)\/(-14) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.3, 1\/7, 2\/11, -2\/15, 133.5, 0.044?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4024 + 4023.9988273. Round b to 5 dps.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -16*h + 1. Let a(l) = 66*l - 7. Let u(s) = -a(s) - 4*p(s). Let w(c) = 2*c - 3. Give 3*u(j) + 2*w(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 5*t**2 + 4425*t - 31489. Determine q(7).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together -3.7 and 1.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-8)\/(-36))\/2 + 348\/27. Suppose t*s = 18*s - 300. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 27 and 190990506.\nAnswer: 1718914554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 1. Let f(b) = 8*b - 4. What is f(a) + 5*i(a)?\nAnswer: 8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnneenaaqm. Give prob of sequence nm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 18 = -3*c + 4*c, -y = -5*c + 116. Let w(f) = -2*f - 4. What is the remainder when c is divided by w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 13535*k - 12. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 31 - 94. Let j = 0 + i. Let q be j\/(-5) + (1 - 3). Solve -3*l + 15 = -0, -2*n = -q*l + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t - 11 - 23 + 42 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2. Let l(a) = -143*a**2 + 17*a + 17. Let r be (-3)\/(-12)*4 + 16. Let s(u) = 48*u**2 - 6*u - 6. Let k(q) = r*s(q) + 6*l(q). Calculate b(k(v)).\nAnswer: 1764*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -275 + 318. Let x = -8 - -30. What is the remainder when q is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 0 + ((sqrt(245) + -1 - sqrt(245))*4 + -2)**2 + -3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 58469704 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-4))**(-3\/34)*(((i**(-10)*i*i)\/i*i)\/i*i)\/(i**(-2)\/i) assuming i is positive.\nAnswer: i**(-79\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -2*d**2 - 73*d - 1077. Calculate f(-19).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -18*z. Let m(u) = 13*u - 11. Let s(n) = 5*n - 2. Let h(d) = m(d) - 3*s(d). Calculate h(g(o)).\nAnswer: 36*o - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is w in -2*w**2 + 43928*w - 241208648 = 0?\nAnswer: 10982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 110 (b) -2\/5 (c) -6 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 9*n + 4. Let m be c(2). Let t = 26 - m. What is the third biggest value in -0.5, 0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/(-32) + (-87)\/12. Let j be (3\/3)\/(d\/(-84)). Solve 3*k = -k + j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6566 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1328*c + 18232 = 5295 - 17607 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 20788351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/2*-2 + 3. Suppose 2*a - 7*a + 20 = t. Solve -2*i**5 + 0*i**a - 3*i**2 - i**5 - 9*i**3 - 9*i**4 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4466 + -4459. Let y(k) = -k**2 - 5*k + 2. Let x be y(-5). Suppose 0 = -q - x + 23. Calculate the greatest common divisor of q and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**2 - 7. What is the units digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*r = -24 - 180 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 335629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d**3 + 5*d**3 - 3*d**3 - 4*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = -3*i + 3, 3*k = 3*i + 1 - 4. Suppose 0 = -k*d + d - 6. Let v = 2681 + -16045\/6. Is v equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - w = 5083886, -10 = 3*w - 8*w. Let o = -1830972 + g. What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that -2*x**2\/3 - 2340*x + 56288\/3 = 0.\nAnswer: -3518, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 121.7 + -130. Let g = 8 + m. Put g, -1, 0.5 in descending order.\nAnswer: 0.5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*j**3 + 46*j**3 - 14*j**3 + 28*j**3 - 20*j**3 - 20*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -74 + 161. Let j = k + -83. Suppose 4*l - 5*l - i + 377 = 0, 1504 = j*l + 5*i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 238 a factor of 69140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l. Let d be x(0). Let k = 51 - 44. Suppose 10*z - 14*z + 16 = 0. Solve d = -3*n + f - k, 8 = -2*n - 3*f - z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 695, 0.2372?\nAnswer: 695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the first derivative of -391*t**6\/6 - t**3 - 29*t + 418. What is the third derivative of o(l) wrt l?\nAnswer: -23460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of (-2 - (-1)\/1)\/(10\/20)*-43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(17)*-2 + -5)**2 + -1.\nAnswer: 20*sqrt(17) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4850 and 16850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 + 14*w**2 + 76*w + 11. Let c(l) = -l**2 - 10*l - 1. Let d(r) = 7*c(r) + v(r). What is d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -44*b - 9. Let h(m) = -22*m - 4. Let q(i) = -4*f(i) + 9*h(i). Let l(o) = 5*o. Let k(j) = -6*j. Let u(z) = -3*k(z) - 4*l(z). Calculate u(q(n)).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 1\/6*y**3 + 1 - 2\/3*y**2 + 1\/6*y = 0. What is y?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -325, -655, -985, -1315, -1645, -1975?\n\"Answer: -330*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z - 4. Let t(c) = -c - 3. Let b(a) = -2*a - 20. Let l be b(-8). Let w(o) = l*t(o) + 3*m(o). Let j(u) = -3*u - 1. Determine -j(d) - 2*w(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:08 AM and 7:28 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*z - 2*z - 4*z)*(2*z - 4*z + z) + 0*z**2 + z**2 - 2*z**2 to the form g + u*z + r*z**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = -0 - 3. Suppose 3*z = 4*q + 34, -p*z - q = q - 10. Suppose i - z = -0*i. Calculate the remainder when 35 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26406252?\nAnswer: 2, 3, 263, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4949*v**2 - 2591*v**2 - 4177*v**2.\nAnswer: -11717*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -130*l**3\/3 + 9565*l**2\/3 - 10850*l = 0.\nAnswer: 0, 93\/26, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 162 divide 2113058127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 10240 (base 11) in base 9?\nAnswer: 22425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 3*q = 28, 4*q + 20 = 4*t - 5*t. Let z = 7 + t. Suppose 0 = -a + 5 + 3. Solve -17 = -5*r + h, -z*h = -r + h - a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2061 + -4029\/2. Find the common denominator of g and -1 + (-9)\/(-12) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -v**3 - 19*v**2 - 35*v - 1498. Calculate m(-21).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 374 and 1336324?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.4, 3768, -2\/7, 3, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**3 - 11*o**2 - 18*o + 18. Let d be i(-9). Calculate the highest common factor of d and 576.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20145 and 20315.\nAnswer: 4814655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/229721628 and 61\/82308.\nAnswer: 229721628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + m + 3*c + 30, -5*m - 4*c + 29 = 0. Let b be (-50 + 52)\/(1 + (-3)\/5). Solve -6*h = 5*t - m*h - 13, 0 = 2*t - h - b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1436 and -0.219?\nAnswer: -314.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 228763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 11399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 4*b = x - 254, -2*x = -3*b - 499. Let s be 1\/3 + x\/21. Calculate the greatest common factor of s and 72.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 2*d - 1. Let j be n(2). Suppose -5*y - 4*w + 83 + 4 = 0, 0 = -w + j. Suppose -3*v = -6 - y. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 7:55 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 64722 (base 9) to base 3\nAnswer: 2011210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 54308\/8180 - 7 - (-4)\/10. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -40440 divided by 40\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(1900) - -3*sqrt(1900)*1))*1 - (-1*1*4*(sqrt(304) - (sqrt(304) + -2*sqrt(304))))**2.\nAnswer: -19451 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 260 (base 7) to base 11.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wj when two letters picked without replacement from {z: 2, v: 2, w: 1, i: 1, p: 2, j: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mo when two letters picked without replacement from momo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 437 = 6*w + 59. Let j = -14 - w. Which is smaller: -78 or j?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -8 - a5?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -7 - (-6 + (-2 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 4*a**2 - 1320*a + 108900 = 0.\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(252) + 0)**2 + sqrt(252))*-5*3.\nAnswer: -34020 - 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**(3\/11)*n*n)\/n)**(-3\/14)*n**(1\/9)*n**(-8)*n*n assuming n is positive.\nAnswer: n**(-4486\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1334*n + 1320*n + 224 = 0. Calculate the remainder when 1183 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -7*f + 21. Solve -f*w - 6 = 5*b, 2*b + 3*b - 12 = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23603561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 19736 = 2*a, 5*a - 1502 = -o + 47834. List the prime factors of a.\nAnswer: 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7889*s - 6894*s - 70645 for s.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -27223 divided by -3\nAnswer: 27223\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*i = 4*v - 4*i - 40, 0 = 3*v - 1690*i + 1686*i - 51 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2194 + 2153.32. Let f = -84 + 43. Let q = b - f. What is q rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -0.50852\nAnswer: 0.152556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4253*g**3*i + 11095*g**2*i + g**2 + 2*g*i wrt g.\nAnswer: 25518*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -252 = 103*i - 139*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21894.\nAnswer: 2, 3, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 + 0\/(5 - 1). Let u be (-11 - -12)*(i - (1 + -1)). Solve u*n = a + 14, 3*n - 11 = -a + n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 + 0. Let r = -337 - -341. What is the lowest common multiple of r and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16764110 rounded to the nearest ten thousand?\nAnswer: 16760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64995.\nAnswer: 3, 5, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.11 - 2.41. Sort -4, -10, h, 3 in decreasing order.\nAnswer: 3, h, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 472 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(-6))\/(n\/(n\/n**(2\/9))) assuming n is positive.\nAnswer: n**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 60526 + -2600?\nAnswer: 55726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-103 - -110)*((-8)\/(-91))\/2.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes after 2:03 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3104590 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/72*(-4)\/(-10)*(-24)\/(-28).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -12230506 (base 9) in base 8?\nAnswer: -26647453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 6*l**2 - l - 1. Let n(m) = -m**2. Let y(o) = 3*d(o) + 15*n(o). Let g be y(5). Calculate the greatest common divisor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qhlq when four letters picked without replacement from {l: 3, h: 5, q: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-16))\/((-6)\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -42921, -84992, -127063, -169134?\n\"Answer: -42071*r - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -5*f + 6. Suppose 7*t = f*t + 5. Let u(v) = 34*v**2. Is u(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 715*s - 714*s - 4 = 0. Solve 280*c - s = 278*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand o**3 + 117*o**2 - 117*o**2 + 0*o**3 - 4*o**3 + 2*o**3 + (0*o**2 + 4*o**2 - 2*o**2)*(-o - o + 0*o) + 3*o**3 - 6*o**3 - 12*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1041 - -1048. Let v = -10 - -19. What is the first derivative of -v + 4 + g + 18*l wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3380044 is divided by 482856.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 26568784 and 4830688.\nAnswer: 53137568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide (-9)\/(-4) - 4699125\/(-300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 - h + 7. Let q be b(0). Let j(t) = t**2 - 7*t + 5. Let z be j(q). Solve 37 = 5*g - 3*v, -16 = -z*g + g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -64.08 + 64. Let c = j - 0.22. Let a be (10\/(-8))\/5 - (-136)\/288. What is the nearest to 1 in c, a, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-33)\/(-3))\/(-33)*-2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8*k - 82 + 146 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5423\/58*(10\/(-33))\/(320\/(-384)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 38827.59 years to centuries.\nAnswer: 388.2759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*g**3*n*q**2 - 151*g**3*q**2 - 25*g*n*q**3 - 2*g*q**3 + 2*g - n - 2 with respect to n.\nAnswer: 12*g**3*q**2 - 25*g*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 3*z = -36. Let p be z\/8*76\/57. Let g = 9 + 14. Solve 3*i + 0*i - g = -2*s, -i = -s - p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8 + 10. Suppose 5*r = 2*r + 111. Let t = 40 - r. Solve -t*y - 4*o = q*y + 7, y + 3*o + 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -k**2 - 13*k + 44. Let x(i) = -4*i**2 - 51*i + 182. Let g(v) = 9*b(v) - 2*x(v). Calculate g(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 7*l**2 - 5*l - 1. Let p(a) = -a**2 + a. Let y be 0 - (12\/2 - -1). Let t be (4 - (21\/(-7) + -11)) + -5. Let v = t + y. Determine v*p(h) + m(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 168 and 728.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 2*m + 1. Let h be y(2). Let x = -9 - -28. Suppose -5*k = -4*a - 14, -13 = 2*k - 2*a - x. Solve 0 = k*d + 1 + h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162)\/sqrt(3))\/(-2*sqrt(3)*-2).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1033441635 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2 + -1*sqrt(2205).\nAnswer: -21*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -626?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - 9. Let d(f) = f**3 - 11*f**2 - 2*f + 2. Let o be d(0). Sort h, o, 24.\nAnswer: h, o, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (58*q**2 - 8 - 6*q**2 - 36*q**2 - 14*q**2 + 127*q**3)*(5*q - 3*q**2 - 5*q).\nAnswer: -381*q**5 - 6*q**4 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2360*f**2 - 1180*f**2 - 1181*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1512958523 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*t + 33*t - 14*t + 2*t + 0*t - t + (-1 - 2 + 5)*(t + 0 + 0) - 5*t - 2*t + 5*t)*(-5*t**3 - 360 + 360 + 3*t).\nAnswer: -165*t**4 + 99*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 201987, 201986, 201985, 201984?\nAnswer: 201983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3\/(2\/7 - (-190)\/70). Let g = z - -1. Suppose -u - g*u + 87 = 0. Calculate the remainder when u is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 5*i**2 + 23518. Let w(k) = -3*k**2. Determine g(w(r)).\nAnswer: 45*r**4 + 23518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/(-36))\/(31\/12). Let o = -449\/372 - i. Calculate the common denominator of (-7 + 9)\/(90\/(-234)) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from tnlntlmndn.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 26 - 46. Let h = q - -55. Let f = h + -20. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:49 PM and 7:52 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of -x**7\/14 + 27*x**6\/40 - 3*x**5\/2 + x**4 + 93*x**2. Factor r(g).\nAnswer: -3*g*(g - 4)*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a5 (base 13) in base 5?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 35 = -5*a, -4*l - 82 = 3*a - 89. Solve -16 = 2*x - 2*q, -10*x - 8 = -a*x + 3*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v - 3*v - 4*v + (0 - 1 + 2)*(-76783 + 76783 - 623*v).\nAnswer: -627*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 23139*c - 4. Let m(t) = -460*t. Calculate k(m(p)).\nAnswer: -10643940*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is z in -1\/7*z**5 + 16\/7*z + 45\/7*z**3 + 47\/7*z**2 + 13\/7*z**4 + 0 = 0?\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 8:51 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -0.5. Let u = c - -0.7. Let v be 1 + (36\/(-22))\/2. Sort u, v, 1\/7.\nAnswer: 1\/7, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)\/(sqrt(4) - 1*sqrt(576)).\nAnswer: -sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8.622727503 - -540.45.\nAnswer: 531.827272497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 15208\/9 <= 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000249 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 110 - -107. Suppose a = -5*o + 22. Let g = -11 - o. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 PM and 7:18 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -12961 = -723*q - 274*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nndkndnnnnnndxd. Give prob of picking 1 x and 2 d.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4646773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.26 (b) 10\/109 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - 0 - (45 + -44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v = -j - 1089 + 1065, j = 5*v - 40 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 85*s**2 - 1. Let o(b) = -107*b. Give o(z(a)).\nAnswer: -9095*a**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 + 8)*(-3 - (-60)\/18). Solve -2 = o*h - 2*a, -2*a = -0*a - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -73.4192 and -0.3.\nAnswer: -73.7192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -4*j + 36 + 240, 2*z - 2 = 0. Suppose 4*o = 15 + 41. What is the greatest common divisor of j and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22120021122 (base 3) to base 13.\nAnswer: -5b988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4*6\/48*0. Suppose 4*z - 10455871 - 6144129 = r. What is z rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -82.00424 + 82. What is q rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*m*x**3 + 4*m*x**2 + 7*m + 54*x**3 - 8 wrt x.\nAnswer: 6*m*x**2 + 8*m*x + 162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wvfwcvvnncnwfww. What is prob of picking 2 v, 1 w, and 1 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -32469467 divided by 6\nAnswer: -32469467\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -5*z + 6 + 2, 4*t - 2*z = -20. Let i(d) = -d**3 - 4*d**2 + 6*d + 8. What is the units digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 797021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -78, -154, -230?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (20\/(-6))\/(44\/1848). Are p and -141 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2688, 5235, 9490, 15447, 23100, 32443?\nAnswer: 43470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 9*z**2 - 9*z + 5. Let n be k(8). Let f be -1 - (-4)\/(-9)*n. What is the second smallest value in f, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5612*r - 5604*r + 40 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**3 - 9*k**2 - 9*k + 5. Let z = 7 - 15. List the prime factors of m(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + ((-1684)\/(-9262) - 65*(-273)\/(-1584)).\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1737\/(-18))\/((-2)\/(-4)). Let m = h - -190. Let g be 7\/(-3) + 2\/6. Put g, 3, m in descending order.\nAnswer: 3, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/69 + 94\/69. Let q = -23 - -24.3. Let a = -1.4 + q. Sort 0.2, o, a in descending order.\nAnswer: o, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3310 (base 4) to base 16.\nAnswer: f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*d**3*p + 2*d**2*p**3 - 17*d**2 - d*p**3 + 5054*p**3 wrt d.\nAnswer: -114*d*p + 4*p**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + ((5*sqrt(75)*-5 - sqrt(75))**2 - (-2*sqrt(75) + -3)**2)).\nAnswer: -180*sqrt(3) + 151158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 - 22*j**2 - 8*j**2)*(-j - j + j + (3 + 1 - 3)*(2*j - 3*j - j) + 0*j - 4*j + 2*j + j + 2*j - 5*j).\nAnswer: 210*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4244\/(-11) + (-48)\/22 + 2. Let u = 408 + v. Suppose 0 = 5*t + 29 - 229. What is the remainder when t is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of -n**5\/60 + 25*n**4\/24 - 49*n**3\/6 + 125*n**2. Let t be s(18). Calculate the greatest common divisor of t and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 315*v**3 - 139*v**3 + 36 + 205*v**3 + 278*v**3 - 23.\nAnswer: 659*v**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 38*f**2 - 15*f - 6. Let a(m) = -13*m**2 + 7. Let g(i) = -13*i**2 - i + 8. Let l(r) = -6*a(r) + 5*g(r). Let v(h) = 17*l(h) - 6*o(h). Factor v(c).\nAnswer: -(c - 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -6. Suppose k + v + 2 - 14 = 0, -4*v + 39 = 3*k. Let l be (k\/36)\/(3\/(-8)). Which is the second smallest value? (a) l (b) 1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 180*d = 182*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1425)\/sqrt(3) - (sqrt(228)*-1 + sqrt(228) + sqrt(228))\/sqrt(12)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2327 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (76 + 2*j - 55 + 139)*(-3*j - 10*j - 19*j).\nAnswer: -64*j**2 - 5120*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 + 2 + 2\/6. Put l, -1, -0.2 in increasing order.\nAnswer: -1, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes after 11:40 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 28 = 4*r. Solve -r*a = -3*h - 5, 0*a = -2*a + 3*h + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23 + -28. Sort 4, 0, b.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 105176976.\nAnswer: 2, 3, 23, 47, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 9583 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: What is the smallest value in 0.00975, -5, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 6*d - 2*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-4 - -1 - 3) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -4 (b) 4 (c) -809 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 486718172?\nAnswer: 2, 121679543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11101001000100 - -10010110111101?\nAnswer: 110000000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -n**2\/7 - 725208*n\/7 + 2175687 = 0.\nAnswer: -725229, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10\/(-25) - (-186993)\/45.\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 4*p**2 - 2*p + 2. Let h(i) = -8*i**2 + 5*i - 5. Determine -4*h(j) - 10*w(j).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 531 is divided by 164.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + 3*s - 4. Let n be c(-8). What is the greatest common factor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {z: 1, a: 9, p: 2, o: 8}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are -1208 and -1207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 37 + -37. Suppose -2*y + 2*b + 10 = l, 1 = -2*b + 7. What is the least common multiple of y and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-8)*z\/z**(-2\/11)*z**(11\/2)\/((z\/(z**22\/z))\/z) assuming z is positive.\nAnswer: z**(433\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 18084211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -15853 (base 10) to base 7\nAnswer: -64135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*s + 20 = 28. What is the closest to 0.2 in -0.4, s, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -l**5\/3 - 23*l**4 - 197*l**3\/3 + 23*l**2 + 66*l = 0.\nAnswer: -66, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(750))\/(-6*-1*sqrt(10)) - (-4 + (sqrt(3) - (sqrt(15)\/(sqrt(5)*1))**2 - sqrt(108)*2)).\nAnswer: 7 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14103 is divided by 90?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 k, and 2 s when four letters picked without replacement from {k: 5, e: 1, n: 1, p: 1, s: 3, x: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1b91 (base 16) to base 10\nAnswer: -7057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-3))**(-34)*q**(-3\/2)*q*q*q\/q**12*q*q assuming q is positive.\nAnswer: q**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 - 4*z**2 - 6*z - 17. Let c be j(-5). Find the first derivative of -49*r**4 + c*r - 38*r - 15 wrt r.\nAnswer: -196*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*1*9\/(-306)*(2664\/925)\/36.\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 7:07 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**2 - p. Suppose 15 = -7*i + 10*i. Let u be 16\/i + 9\/(-45). Let k(y) = 3*y**3 - 3*y**2 - 3*y - 2. Determine u*g(n) - k(n).\nAnswer: -3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -4 + 3*z - 2*z - z**2 - 6*z. Let n be s(-3). What is the first derivative of n*x**2 - 2 + 1 - 1 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eneeeeeeerqrqqnere. Give prob of sequence qqr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, p: 2, j: 3, g: 6}. Give prob of picking 1 p, 2 j, and 1 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 i, and 1 c when three letters picked without replacement from {s: 4, v: 7, i: 1, c: 2, g: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10459159 take away 4817?\nAnswer: 10454342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (16\/(-12))\/(4\/(-12)). Suppose -b - 1 = -m. Solve 5*h - 5*q - 5 = 0, 5*q + 8 = -m*h - 17 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 5*x - 32. Let a(p) = -33*p + 89. Calculate the remainder when a(2) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9841343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 396 + -395.966. Which is the third smallest value? (a) 3 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xze when three letters picked without replacement from xczxbxxe.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 2820585.838 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-27)\/30*14*(-150)\/(-2520)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 493\/6 - 82. Let f be (1\/3)\/((-1305)\/783). Which is the third smallest value? (a) 0.1 (b) f (c) -2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 2 h when four letters picked without replacement from {d: 11, l: 1, h: 5}.\nAnswer: 55\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((d\/((d\/(d**(-4\/5)*d)*d)\/d*d))\/d**1)**(1\/15))**(2\/7))**17 assuming d is positive.\nAnswer: d**(-102\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -8702*m - 8698*m + 17414*m + 140 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -150*w + 149*w + 7 = 0. Let u(y) = -5 + w*y - 8 + 2 + 17 - 9*y. Give u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(-2) - (3 + 306\/(-12)). Are a and 22 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126854 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 24925 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (28\/(-6))\/(10\/(-15)). Suppose r = -p + 8, -p + a*r - 10 = 2*r. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299)) - sqrt(475)*1.\nAnswer: -16*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 181 + -102. Let o = s - 39. Solve -v + 3*r - 21 = -r, 4*v - 5*r + o = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1 - (15 + -2))\/(-2). Suppose -4*a + k = -17. Solve a*p = 3*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(60)*-2 + sqrt(60))\/sqrt(5) + ((sqrt(9)*1)\/sqrt(3) - (sqrt(432) - (sqrt(432) + sqrt(432) + -1) - sqrt(432))).\nAnswer: -1 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 3*w + 2*w - 2*v, 3*w + 3*v - 3 = 0. Let h be (-8)\/2 + 135 + w. What is the greatest common factor of 88 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 19226\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.89 * 174545.\nAnswer: 155345.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1770, 1744, 1728, 1722, 1726?\nAnswer: 1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7748715557 rounded to 4 dps?\nAnswer: -0.7749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1050 at least as big as 33583\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4394948*d**3*k**3 + 729*d**3 + 3*d**2*k**2 - 5*d**2*k - 123*d*k**2 wrt k?\nAnswer: 26369688*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102) + sqrt(102)*2*-6 + sqrt(102))\/(sqrt(486)*2))**2.\nAnswer: 425\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + -3. Let c be (5\/((-10)\/8))\/a. Suppose -3*z + 13 = -0*x + c*x, -x = -3*z + 16. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.08 - -10.08. Let n = 9.2 - d. Round n to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yugegeo. Give prob of picking 1 o and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from diiidiiii. Give prob of sequence iii.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 3*z**2 + 6*z - 579. What is the remainder when a(15) is divided by 41?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(sqrt(52) - sqrt(13)) - (0 + sqrt(1872))) + (1*-2*sqrt(78))\/sqrt(6))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of -2*o**7\/525 + o**6\/50 - 2*o**5\/75 - 6*o**2. Factor g(m).\nAnswer: -4*m**2*(m - 2)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6022572 and 333.\nAnswer: 668505492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6032039304.\nAnswer: 2, 3, 181, 211, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -48067*f + 48239*f = 9116 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(20)*-1*-2)\/(sqrt(16)*3))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -123.354 and 0.0348?\nAnswer: -4.2927192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 0, 4*m = 6*m + 5*w - 6. Suppose 5*h - 2*r = 17, -3*h = -7*r + m*r + 1. Sort 0.2, h, -1, -0.3 in ascending order.\nAnswer: -1, -0.3, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -17118210.7 * -1.\nAnswer: 17118210.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -3904 divided by -976\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 422, 538, 628, 692, 730?\n\"Answer: -13*s**2 + 155*s + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 63907721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 2:50 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + 12*z**2 - 15*z - 10. Let h be i(-13). Suppose -h = -4*v - 0*v - o, 3*v + 3 = 3*o. Differentiate 6*g - v + 14 - 1 with respect to g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(891) - (3 + (sqrt(891) - -2*sqrt(891)))**2.\nAnswer: -8028 - 153*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -999, -805, -593, -357, -91, 211?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 31 + 65. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/14 + ((-213)\/(-35) - 5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**9*s*s**(7\/5))**(3\/17) assuming s is positive.\nAnswer: s**(171\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the third derivative of -b**5\/60 + b**4\/4 + 2*b**3\/3 - 3569*b**2. Determine l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2888 and 18772.\nAnswer: 37544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that 2*d**4 + 3716*d**3 + 1572186*d**2 - 145877600*d + 144301696 = 0.\nAnswer: -968, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.094719 * -186.\nAnswer: -17.617734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -126, -251, -374, -495?\n\"Answer: h**2 - 128*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 15016358*b. Let u(d) = 3*d. Give u(a(j)).\nAnswer: 45049074*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 + 21. Let g = 208 - s. Suppose 4*i = -3*x + 91, 15*x + 84 = 3*i + 12*x. What is the greatest common factor of g and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*s**5 + 42*s**4 - 2*s**3 + 81*s**2 - 11*s - 3.\nAnswer: -480*s**2 + 1008*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2 - 66*m - 68.\nAnswer: 2*(m - 34)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {e: 1, p: 1, k: 10, h: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54721329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/4*5\/((-90)\/(-24)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 268\/469 - 924\/(-441)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 58 = -o + 2*o, -4*u = 3*o + 194. Let t = -299 + 236. Is t equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12*2 - (-2 + (-18)\/(-9)). Is (-35134)\/(-8) + 174\/t + -8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 957 + 957 - 2*s - 3*s - 1914.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find f such that f**5 - 661*f**4\/2 + 1643*f**3\/2 - 983*f**2\/2 - 329*f\/2 + 164 = 0.\nAnswer: -1\/2, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 12, l: 4, w: 4}. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -198*b - 448. What is the hundreds digit of g(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 4. Let i = -644\/3 + 214. Which is the smallest value? (a) k (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = a - 5, 7*h = -4*a + 4*h + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -3857, 4, -4.\nAnswer: -3857, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 150 (base 9) in base 2?\nAnswer: 1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**3 + 4*h**2 + 2*h - 7. Let l(r) = 104*r**2 + 1 + 34*r**2 - 2*r**3 - r + r**3 - 139*r**2. Let d be 36\/44 + (-2)\/(-11). Determine d*s(z) + 4*l(z).\nAnswer: -2*z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2 - ((-21)\/3 + -2). Let f(d) = 4*d - 12. Does 15 divide f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (208584\/(-252))\/((-4)\/14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 92444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -33, 100, 237, 378, 523, 672?\n\"Answer: 2*t**2 + 127*t - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v**5\/11 - 32*v**4\/11 + 1910*v**3\/11 + 10360*v**2\/11 + 11016*v\/11 + 2592\/11 = 0. Calculate v.\nAnswer: -18, -4, -1, -1\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22 - 15. Let h = 15 + -17. Let k = h - -19. Solve v*q - 7 = 2*q - 2*p, -3*q + k = -2*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**2 + 2*j - 4. Let l(v) = -v**2 + 208*v + 8. Give -2*b(a) - l(a).\nAnswer: -a**2 - 212*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:01 AM and 5:00 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose n**4\/2 + 298*n**3 + 38206*n**2 + 220952*n + 291456 = 0. What is n?\nAnswer: -414, -176, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**1\/(i\/(i*i**0\/i)))\/(i**15*i*i\/(i\/i**(-13))*i) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115160*k**5 - 115149*k**5 - 49*k**4 - 1228*k**2 + 35 - 636*k - 82*k**4 - 857*k**3 - 43*k**4 - 115 = 0. What is k?\nAnswer: -2, -1, -2\/11, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 120994.6 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (36\/14)\/(375 - (-449217)\/(-1197))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ypnynnyanpnnpp. Give prob of sequence ay.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -4*j + 31. Suppose j*l = -2*s - 21, 3*l = -4*s - 0*l - 7. Suppose -7*m = -s*m. Solve m = -3*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange f**3 - 541*f - 28 + 543*f + f**3 to the form u*f + v*f**2 + x*f**3 + m and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21033 is divided by 63.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 45747810 times -0.05?\nAnswer: -2287390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2\/4)\/((-1)\/(-10)). Let y(n) = -n + x*n - n. Let s(a) = 26*a + 17. Let k(v) = -9*v - 6. Let o(d) = -17*k(d) - 6*s(d). What is o(y(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -263 or -28812\/109?\nAnswer: -28812\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 14 = -34. Suppose 0 = o + i - 9. What is the least common multiple of o and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 269*k**2 - 24299*k + 728998. Let x(i) = i**3 - i**2 + i - 2. Let w(r) = -5*j(r) + 5*x(r). Factor w(t).\nAnswer: 5*(t - 90)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -77.4 - 14.6. Let l = 92.000049 + n. Round l to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ywyywyy?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1978112, 1978110, 1978108, 1978106, 1978104, 1978102?\n\"Answer: -2*c + 1978114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6 - (6 - (12 - -1)). What is the tens digit of l + 50 + (-16 - -22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 25 - -7. Let k(s) = -2*s - 8. Let i be k(-6). Calculate the highest common divisor of h and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1802*s**2*u**3 - s**2*u + 5429*u**3 wrt s.\nAnswer: 3604*s*u**3 - 2*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -28*369\nAnswer: -10332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8? (a) 1 (b) 2\/3 (c) -7\/150\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 - 6*m**2 + 4*m - 13. Let x = 101 + -58. Suppose -2*c - 4*y = -1 - 5, 0 = 4*c - 3*y + x. Calculate the remainder when 15 is divided by a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**2 + 1. Calculate y(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 12 = 5*p, 0 = -4*p - r + 9 - 0. Suppose -p*d + 4*l + 84 = 0, d = 4*d - 2*l - 122. What is the remainder when d is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 5*l. Let z(b) = -2*b. Let n(h) = -4*m(h) - 9*z(h). Let k(w) = 14*w. Give n(k(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, n: 2, x: 1, h: 3, e: 6, k: 4}. What is prob of picking 1 h and 1 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {v: 3, a: 3, y: 3, n: 6, l: 2}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (44\/(-6))\/(-5*(-42)\/315)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 84715*z**3 + 236759*z wrt z?\nAnswer: 508290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 + -14a51?\nAnswer: -14a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 3*c = 10, c + 0 - 15 = -3*a. What is the closest to -2\/5 in a, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 48*f**2 - 94*f + 28. Is 2 a factor of n(-46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19414571, 19414566, 19414557, 19414544, 19414527?\nAnswer: 19414506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 14*w**2 + 2854*w + 16596. What is v(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 53649390 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*f + 2*k, -f + 12 = 13*k - 15*k. Let a(o) = -7*o - 3. Let l be (-1 - 0)*(-10)\/2. Let g(v) = 3*v + 8*v + 0*v + l. Calculate f*a(n) + 5*g(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = -0 + 2. Let p be u\/5*(-5)\/(-2). Is p greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-2 - 10\/(-3))*(17 + -8) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*z**4 + 18950832*z**3 + 17393*z + 850?\nAnswer: 48*z**2 + 113704992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.1573013nm?\nAnswer: 0.0000001573013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, g: 2, n: 1, o: 2}. Give prob of sequence con.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 0 - ((40 - 0) + 11 + -13).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -383*m**2 + 152*m**2 + 165*m**2 - 32*m - 5*m to the form b + n*m + r*m**2 and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 8*d = 0. Let b(g) = g**3 + 4*g**2 + 3*g + 1. Let q be b(-3). Let c be (q\/14)\/(1\/4). Is c at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3.57, 3, -0.3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-3*(-22)\/(-66))\/(38\/16*2)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/24 and -49\/990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2, -495, -2\/9, -3, -12, 13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75 - 5*v - 161 + 86 - v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12 + 23 - 10 + 5)*(4 - 2*g - 4) to r + j*g and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 19566*u.\nAnswer: 19566*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -f090 + 224b?\nAnswer: -ce45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.0778 + -2.0778. Which is the nearest to 0.1? (a) -0.02 (b) k (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve k = 3*v + 4*k + 3, 0 = 3*v - 4*k - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 + 12*a**2 + a - 9. Let d be r(12). Let 3*g + 2*g**2 - 20*g**d + 1 + 21*g**3 + g**2 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 19*b - 18*b - 217. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*s**2 - 3*s**2 + s**2)*(3*s + 0*s + s) + 4 + s**3 - 4 - 3*s**2 - s**2 + 2*s**3 + 11*s**2.\nAnswer: 11*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-99)\/66*(-2)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -6632634 (base 7) to base 6\nAnswer: -25244520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -4*u + 2. Let j be (2\/(-1))\/((-2)\/(-7)). Let i(l) = 6*l - 3. Determine j*c(s) - 5*i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (112\/(-1344)*(5 - -4))\/((-3)\/8). Factor 1\/6*p**2 + 0 - z*p.\nAnswer: p*(p - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -438 + 443. Suppose -540 = -z*h - 2*y, 3*y - 6*y + 121 = h. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 27*b**2 - 264*b - 60.\nAnswer: 3*(b - 10)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1361057 (base 8) to base 2\nAnswer: -1011110001000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18669 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.3 and -32354?\nAnswer: 32353.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 10*q**2 + 6*q + 21. Let c(p) = 5*p + 44. Let t be c(-7). Let y be s(t). Sort 2\/11, 3\/7, y in decreasing order.\nAnswer: 3\/7, 2\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 * -0.13283\nAnswer: -2.92226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**4 + 98005*o**3 - 685986*o**2.\nAnswer: -o**2*(o - 97998)*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4336, -8670, -13004, -17338, -21672, -26006?\nAnswer: -30340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 91, -4 in descending order.\nAnswer: 91, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -97 + 30 + 78 + -1 + -98 - -15.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 307728 to the power of 1\/2, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkc when three letters picked without replacement from {c: 2, w: 5, u: 3, t: 1, k: 3, s: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 180 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of 250*x**7\/7 - 26*x**3\/3 - x**2\/2 - 309. What is the third derivative of f(m) wrt m?\nAnswer: 30000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:16 PM and 4:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 112 = -25*w - 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 122690 + -0.16\nAnswer: 122689.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -513 divided by -300652.\nAnswer: 513\/300652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the second derivative of -j**6\/5 - 184*j**5\/5 - 2501*j**4 - 67240*j**3 + 68921*j**2 - 682*j + 2. Factor q(f).\nAnswer: -2*(f + 41)**3*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1041571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/23, 144, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-250)*-30)\/(((-608)\/240)\/19).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -40 - -20. Let n = s + 70. Suppose 37 = 3*y - 0*y - t, 0 = 4*y - t - n. Calculate the greatest common divisor of y and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -397\/7 - -57. Which is the closest to 0? (a) d (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 - -8. Let h(i) = -i**2 - 4*i + 3. Let a be h(b). Solve -2*o = -d + 1, a*d = -o + d - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = c**2 + 3*c - 4. Let j be t(-4). Suppose 10 + j = 5*q. Let o(z) = z**3 + z**2 + z + 1. What is the units digit of o(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8797449 is divided by 262.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 - 6*w**2 + 9*w - 6. Let t be h(6). Suppose 3*o - 4*s = 37, 4*o - 4*s - s - t = 0. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 6*z**3 + 55*z**2 - 12*z - 5. Let r(f) = -20*f**3 - 166*f**2 + 34*f + 14. What is -14*a(q) - 5*r(q)?\nAnswer: 16*q**3 + 60*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2685*j + 62. List the prime factors of f(1).\nAnswer: 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(((-8)\/6)\/(6\/27))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = -2*k - 3*k - 2510, 0 = 4*q + 5*k - 1981. Suppose -64 = 5*i - q. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s = 4*o - 16, -69 = s + o - 143 + 71 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 3*h**2 + 31*h + 17. Is 30 a factor of w(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 - t**2 - 10*t + 1. Let z be a(4). Which is smaller: z or 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 4*b = -3*b - 766, 2*b = 2*w - 754. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-9)\/(-3)))\/(11\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2657, 2645, 2627, 2603, 2573?\nAnswer: 2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 - 8) + -12 - -11 - 5 - -52 - -5.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(-1\/3)\/d*d**(-6\/5))\/(d*d**(-7)*d*d*d**(9\/2)\/d))**(-3\/13))**(-3\/7) assuming d is positive.\nAnswer: d**(-183\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -680*r - 5416. Determine j(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 8337310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*l - 33*l + 2985 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -41, -3, 18, -5, 11 in decreasing order.\nAnswer: 18, 11, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 158 - 153. Find the third derivative of -2*f**b + 4*f**4 - f**5 - 29*f**2 - 20*f**2 - 17*f**4 wrt f.\nAnswer: -180*f**2 - 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.4, -1.1, -1 in increasing order.\nAnswer: -2, -1.1, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-6)\/(48\/(-8)) + 4435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1, -23, -71, -155, -287, -479?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*z - 5*z + 2*z)*(5*z + 2 - 1 - 2*z) to t*z + h + y*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**2 - 26*f + 27.\nAnswer: -(f - 1)*(f + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1690591139 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 3\/2 (b) 0 (c) 63993 (d) -0.11 (e) 2\/7 (f) 5 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -6.09 rounded to one decimal place?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -5 + 10 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 12120031 (base 5) to base 4.\nAnswer: 123301212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -10 + 14. Let a = w + 1. Suppose 0 = a*z - 23 - 162. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 103 + -89. What is the highest common divisor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 7, l: 9}. Give prob of sequence ml.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 75, -268, -1\/4, 4 in decreasing order.\nAnswer: 75, 4, -1\/4, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 328645596 to the power of 1\/3, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y\/(y*(y*y**(2\/7)*y)\/y)*y)\/y*y)**12)**(1\/3))**(-2\/35) assuming y is positive.\nAnswer: y**(16\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 503816334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -11, 0.12, 0.33, 0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 90*m. Let t(y) = -y. Determine 75*t(f) + w(f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 2369 + 3*a**4 + 2*a**2 + 0*a**4 - 2*a + 3*a**3 - 2369 as c*a**2 + o + l*a + u*a**3 + h*a**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 10, x: 10}. What is prob of picking 1 x and 1 w?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1453 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*x + 10*x + 325 = 0. Let y = x - 54. What is the remainder when 39 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0 - ((-1788)\/(-9864) + 2\/(-12)). Let n = v - -141\/274. Let y = 1 - 3. Which is the nearest to y? (a) 3 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g\/g**(-1\/34)*g*g\/g**(-4\/3)*g)\/(g\/(g**7\/g))**(3\/11))**6 assuming g is positive.\nAnswer: g**(9791\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 - 3*s + 3*s)*(2*s**3 - 6*s**3 + 5*s**3 + (0*s - s + 2*s)*(2*s**2 + 1 - 1) - 3 + 3 + s**3 - 3*s**3 - 3*s**3 + 5*s**3 + 16 - 16 + 13*s**3).\nAnswer: -32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 9*i - 36. Let w be s(4). Suppose w = -5*a + 167 + 73. Calculate the highest common factor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 9.311397 decades?\nAnswer: 0.9311397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 31 = -3*m, 4*k - 67 - 27 = 2*m. What is the highest common divisor of k and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -1*sqrt(1100) - ((-2*sqrt(891))**2 + 1).\nAnswer: -3560 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 + -18 + (49 - 40) + 2 + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 584 or 583?\nAnswer: 583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 3730873 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 - 11*c + 5. Let a(d) = -d. Let g(t) = -4*a(t) + z(t). Let b = -8 + 13. Determine g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.1739 + 67.6001. Let a = j - 70. What is a rounded to 2 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(4\/11)*c**0\/c)**(2\/3)\/((((c*c\/(c*c*c**4)*c)\/c)\/c*c\/(c*c\/c**(-1\/7)))\/(c**(-2\/9)\/c**(1\/5))) assuming c is positive.\nAnswer: c**(18352\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 4 = -3*u. Suppose u*n + 3*q - 346 = 153, -4*n = -2*q - 494. Let v = n - 870\/7. What is the nearest to 1\/2 in 2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -86 + 604\/7. What is the third biggest value in -1, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 28\/3 of a week?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**2 - 11*o - 44. Determine y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -95\/3 - -31. Let n = 0 + t. Which is the nearest to -0.1? (a) n (b) -4 (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 704 and 37952?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 21877175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Simplify h*h*h**47*h*h**(-34) assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(3*sqrt(6)\/sqrt(2))**2*2 - -4*(((1 + sqrt(363))**2 - sqrt(363)) + sqrt(363))*-4)*-3.\nAnswer: 1056*sqrt(3) + 17796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (6*t - t - 2*t)*(1 - 3*t - 1 + (-t + 2*t + 0*t)*(-1 - 1 - 3)) as g + c*t**2 + w*t and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11600 and 11600.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/7668414 and -86\/382142631?\nAnswer: 2292855786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -63610 divided by -1?\nAnswer: 63610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.49828 + 14.56692. Let p = 15.1 - k. What is p rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 109 = -4*a, 2*a + 3*s = 7 - 48. Let k = 21 + a. Let g be (k - (-1412)\/354)\/((-2)\/(-3)). Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 24 * 0.2.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be 39\/(-15) + 10\/(-25). Let f be (-110)\/(-10) + (l - 0). Suppose 2*i - f = -0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 times 0.048675013?\nAnswer: -0.243375065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of l**4\/12 - 2*l**3 + 17*l**2. Let s be m(7). Solve a + 1 = -3*c, -s*c + c - 1 = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 1)*(1 + 19*q + 72*q - 2)*(-5 + 4 + 0).\nAnswer: -91*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be 74 - 6\/(6\/2). Suppose 5*k - k = -d. What are the prime factors of k\/(-4)*4\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 16354*n**2*q**3 - 766595*n**2*q**2 + 8*q**6 wrt q.\nAnswer: 98124*n**2 + 960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -100.77*-1150.83.\nAnswer: 115969.1391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 375461 and 2249097?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -687*d - 10. Is g(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 376 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9*b**4 - 749*b - 7*b**4 + 63*b**4 + 1037*b wrt b.\nAnswer: 564*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**2 - 11*m + 5. Suppose -46 = 4*v + j, -5*v - 25 = 4*j + 38. What is w(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -g**4 - 3*g**4 + 2*g**4 + (5*g**3 - 5*g**3 - 3*g**3)*(-13 + g + 13).\nAnswer: -5*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 99569117 to the nearest integer?\nAnswer: 9978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 10694 + -288695\/27. Find the common denominator of m and 17\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the second derivative of -r**2 - 1\/36*r**4 + 0 - 1\/90*r**5 - r + 2\/9*r**3. Let m(t) be the first derivative of c(t). Suppose m(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 4*f = 5*q - 27, -3*q = -2*f - 25. Let k(m) = -6*m**2 - 13*m + 6. Let z be k(-4). Let c = z + 159. What is the highest common divisor of c and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 + 10*x + 4. Let s be p(-10). Suppose s*r - 108 = -5*o, 2*r - 84 = -2*r + o. Let d = r + 59. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1110000000 (base 2) to base 10.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 - -7. Let n = i - 9. Let m = 4 + n. Are 3 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13730 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = 10*y - 40 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41 - 36. Suppose 8*y - 19 - o = 0. Suppose 3*n - 22 = -4*i, 3*n - 4*i + 7 = -3. Solve -y*k - 3 = -n*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the second derivative of -91*m**5\/20 + 33*m**4\/4 - 107*m. What is the third derivative of l(r) wrt r?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + 9 - 8\/(-4). Let g = 5 - -4. Let i = b - g. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j. Let n(g) = -g. Suppose 0 = -3*k + 1 + 2. Let s be (-2 + 0)\/(k\/4). Let r(a) = 3*a. Let z(d) = s*n(d) - 3*r(d). What is z(v(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 4*m - 663352, -15*m - 4*u = -13*m - 331670. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 58 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -3*g**2 - 5117*g**3 + 5118*g**3 + 6*g + 6*g**2 + 0*g**2 - 5. What is s(3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 822808 times -0.72?\nAnswer: -592421.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5.5 or -48\/353?\nAnswer: -48\/353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 2 - 6, -s = k. Let x = -2 - -2. Suppose x = -q - 2 + 5. Calculate the remainder when s is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -n**4\/4 + n**3\/3 + 5*n + 1. Let w be d(0). Solve 2*l = 5*l - 4*i - 10, 20 = -w*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4 + -3.8. Let x = 0.8 + l. Let b = -3\/7 + 2\/21. What is the closest to x in b, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in 20*x**5\/3 + 122696*x**4 - 20830636*x**3 + 2531032904*x**2\/3 + 3088129968*x + 1098927264 = 0?\nAnswer: -18573, -3, -2\/5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.3217 + -0.3217. What is the second biggest value in 1\/43, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -80829*n - 80839*n + 323356*n - 80843*n - 80831*n.\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 2a (base 14) to base 13.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s + 3. Let q(f) = 1. Let w be (-1)\/(-4) - (-171)\/4. Suppose -4*u + w = -5. Let b(v) = u*q(v) - 4*o(v). Let d(x) = 2*x**2. Give d(b(a)).\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 15, -p - 2*p - 13 = -2*f. Let r = f + 4. Solve -3*q + 18 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from rssirbszir.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 159 a factor of 112065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, -52 in descending order.\nAnswer: 4, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 28 - 5. Let v = b - 18. Suppose -v*z + 9 + 16 = 0. Solve 5*j + 5 = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-21)\/(-35) + 4\/10)*9. Suppose -h = 4 - a. Suppose 0*q + 1000 = h*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 80555 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: Suppose 3*w - w = 5*i - 118, -2*w - 46 = -2*i. Let o be -2*1 + (-310)\/(-5). Calculate the highest common divisor of i and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i. Let l(c) = 3*c**2 + 379 - 379. Determine l(z(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5880 divided by 1960\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 150 + -135. Suppose -i = -5*q - 4*v + 7*v, q + 2*v = -10. Suppose q = 14*z - 803 - 359. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 596823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 115 = -110. Let r = i + 126. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 26*w**2 + 117*w + 50. What is the thousands digit of z(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -57*1\/(-3)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -18 divided by 13\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.25 times -0.17?\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 121\/5? (a) 2\/47 (b) 5 (c) 869 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 300*l**2 + 4*l - 298*l**2 - l**4 + 1 + 7*l**3 + 3*l**3 in the form f*l + k + w*l**2 + d*l**3 + g*l**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {t: 2, b: 4, z: 1, c: 8}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14071*i**3*u + 197*i**2 - 8*i - u wrt i.\nAnswer: -84426*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from lkrl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -170 divided by 2\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 114 and 120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.024 + -25.024. Let z = -20 - w. What is the third biggest value in 0, -7, z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w + 359 = 366 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:03 AM and 2:21 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 16868\/4887?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 4 = -3*a, a - 4*t + 1 - 8 = 0. Is 1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14376 - -17258. Sort 0, 4, -1, w, -2.\nAnswer: -2, -1, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47 + -16. Suppose d - q = 2 - 1, -5*d - i = 4*q. Let c(k) = k + 2. What is c(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ytmcebmtctcbm. Give prob of sequence byb.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/6*174\/116. Solve 0*w - 5*w = -o - 19, -4*o - r = 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 7, r: 12}. What is prob of picking 1 r and 1 l?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m - 3*m - 2*m + 3*m - m - m + (-4 + 3 + 3)*(-2*m + 2*m - m) + 0*m + 2*m - 4*m)*(-16*m - 75*m - 167*m).\nAnswer: 1290*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**7)**(-41) assuming g is positive.\nAnswer: g**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1129 or 18041\/16?\nAnswer: 18041\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 171439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/27)\/((33*22\/9438)\/(3\/39))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -878, -1, -78 in decreasing order.\nAnswer: 1, -1, -78, -878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 22 in -1, 2.6, 0.1?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.078739 rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 88.348 * -1\nAnswer: -88.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 5 = 2*o + 3, o + 5*z = -4. Let u = -1 - o. Calculate the greatest common factor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -6*q - 6. Let b(i) = 7*i + 6. Let p(z) = z**2 + 78*z + 618. Let w be p(-69). Calculate w*b(m) - 4*j(m).\nAnswer: 3*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 6 = -5*u, -3*u - 2 + 4 = 5*r. Let h be 0 + (-4 - (r - 0)). Let x be -2 - (-1 + -11)\/(-4). Is h at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3.2 + 3. Let a = z - -0.7. Let f = 6 - 5. What is the closest to f in -1\/2, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n + 47 = -78 + 77 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 563445 is divided by 563420?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 19921 divided by -4\nAnswer: -19921\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 3*z - 81, 3*l - z - 285 = -l. Suppose -2*h + l = 64. Solve 3*v - h = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/3))**(-41)*(w**(-2)\/w)**(-3\/31) assuming w is positive.\nAnswer: w**(-1244\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 - 163*k - 649. Calculate x(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -20 and -24.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 8, -5, -20, -37?\n\"Answer: -p**2 - 10*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -5633, -11306, -17045, -22880, -28841, -34958?\n\"Answer: -5*g**3 - 3*g**2 - 5629*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a. Let c(p) = -5*p. Let y(i) = c(i) - 6*l(i). Let t(w) = 12*w. What is t(y(k))?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1436052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1615 and 105.\nAnswer: 33915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1181, -1054, -911, -746, -553, -326, -59?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3126 and 21?\nAnswer: 21882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (c - c**2 - c)*(-c + 2*c - 2*c) + (15*c + 4*c + 4*c)*(-2 + 0 + 0)*(3 - 3 + 2*c**2) as y*c**3 + l*c + h*c**2 + n and give y.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11001100 - 11?\nAnswer: 11001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 174398933 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 447352.045 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, e: 13, u: 4}. Give prob of sequence ug.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, x: 9}. What is prob of picking 4 x?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51368439.\nAnswer: 3, 479, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b**3 - 6*b**2 - 3754*b + 18805. Give a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*h + 0*h - 3*h)*(3*h + h - h) - 4*h**2 - h**2 + 3*h**2 + 2*h**2 - 4*h - 2*h - 28 + 4*h to the form y*h + s*h**2 + x and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i\/i**(-1)*i)\/i**(1\/6)*i**(2\/3)\/((i*i**(-8))\/i*i))**(2\/25) assuming i is positive.\nAnswer: i**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/5 in 2\/5, 5, 2, -169?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7 or -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0642327897 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1370 = 11*n + 1425. Which is the fourth biggest value? (a) -18 (b) n (c) 5 (d) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b + 10. Let j be g(-6). Let q = 56 - 62. Is (j - 30\/9)\/(q\/(-2097)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 + u**3 + 0*u**3 - 4*u**2 - 2*u**3. Let s(d) = -d**2 - d. Calculate r(c) - 2*s(c).\nAnswer: -c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) be the third derivative of 0 - 78*o**2 - 31\/60*o**5 - 1\/12*o**4 + 33*o**3 + 0*o. What is the derivative of r(b) wrt b?\nAnswer: -62*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*y**2 - 4*y**2 - 2*y**2 + 2*y - 2*y + 2*y**2 + (3*y - 5*y - 7*y)*(y - 2*y + 4*y).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 229 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -0*r + 4*r. Solve 2*d**4 + 0*d**r + 2*d**2 + 2*d**5 - 2*d**3 + 0*d**5 - 4*d**2 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**13\/f**(-1\/6))\/((((f*f\/f**(-36))\/f)\/f)\/f*f\/(f**(24\/5)\/f)) assuming f is positive.\nAnswer: f**(-571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-5 - -4) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 PM and 7:53 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2159, 2122, 2049, 1922, 1723?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -106 = -4*j - 2786. What is the common denominator of 43\/12 and j\/105 - (-2)\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a28a (base 15) to base 2.\nAnswer: 10100101111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5253309.\nAnswer: 3, 103, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/(-12) + (-3 - (-474)\/207). Suppose 0 = 8*v - 3*v + 4*j + 9, -2*j - 5 = 3*v. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000189092781 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 53, 2, 3, 459, 10 in descending order.\nAnswer: 459, 53, 10, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 5392262820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand t - t + t + (2 - 3 + 3)*(-2*t + 3*t + t) + 0*t + 0*t + t + t - 4*t + t + 3*t + 24*t - 11*t - 19*t + 14*t - 2 + 15*t.\nAnswer: 30*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from wjwwjjj?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 23 - 18. Which is the nearest to -1? (a) -4 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = 2*k - 4, -10*s + 8*s = 4*k - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + p = -9, -151*n + 154*n - 2*p = 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 0*m**3 + m**2 - 2 + 4*m + 5 + m**3 - 3*m. Let w be y(0). Solve -k = -2*k + w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 123*i**4\/4 + 445377*i**3\/4 - 21849*i**2\/4 - 445377*i\/4 + 10863\/2 = 0 for i.\nAnswer: -3621, -1, 2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 - 5*c**2 - 3*c + 2. Let t be d(-4). Let v = 24 + -24. Let o(j) = -4*j**2 + 3*j**2 + 1 - 2 + v. What is o(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -40*j**6 + 9*j**3*t + 2*j**2*t + 16*j**2 wrt j?\nAnswer: -4800*j**3 + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -22 - -7. Let w be (2*1)\/(10\/z). Let h be w\/9 + 26\/24. What is the nearest to 0 in h, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the second derivative of -f**4\/12 - f**3\/6 + 5*f**2\/2 - 4*f. Let p be (-1 - -4)\/3 + -5. What is c(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -49470, -49461, -49440, -49401, -49338, -49245, -49116, -48945?\nAnswer: -48726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*m**2 + 19967648*m**3 - 2*m**2 - 19967649*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4*x**2 - 12*x - 24. Let m be a(-5). What is the highest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 3*t + 14 - 271 = 0, 5*t + 78 = 2*h. Let w = -481 + 487. Suppose -h = w*f - 157. What is the lowest common multiple of 22 and f?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9344 is divided by 1303.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6572 + -6719.5. Round c to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -168*n - 134*n + 41*n + 1305 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -x**2 - x**2 - 2*x**2 + 0*x**2 + 4*x**2 + x**2 + (6*x - x - 3*x)*(-5*x + 3*x + 4*x) + x**2 + 2*x - 2*x + (3*x + 0*x + x)*(18 + 5*x - 18).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 33004398 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (4*-4 - (74919\/(-1664) + 29))*(-8)\/(-12)\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(720) - ((sqrt(720) + -1 - sqrt(720))*6 - sqrt(720))**2 - (-2 + (sqrt(720) + 0 - sqrt(720)) - sqrt(720)))*2*-3 + -2.\nAnswer: 720*sqrt(5) + 4522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 - 2 + 2. Let x(b) = 11*b - 5. Let k(y) = 6*y - 2. Let a(m) = 5*k(m) - 2*x(m). Let q(p) = p. Let c(l) = -a(l) + 6*q(l). Calculate c(s(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 789270 to the power of 1\/2, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 39\/161 - -1\/23. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(243) + sqrt(243) + -2 + sqrt(243) + 5.\nAnswer: 3 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -2*l + 132, 0*l + 3*l - 189 = 3*b. Suppose l = 4*h - h. What is the lowest common multiple of 14 and 5\/10*h + 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.18, -2\/3, -4\/3, 2 in decreasing order.\nAnswer: 2, -2\/3, -1.18, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1164*x**3 - 1411*x**3 + 1379*x**3.\nAnswer: 1132*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(1900) - -1*(sqrt(1900) + sqrt(1900) + 2))*-1)**2*4.\nAnswer: -136832 - 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 28972.778 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 339 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 66140*c. Let y(b) = 120*b + 1. Determine n(y(h)).\nAnswer: 7936800*h + 66140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -81029\/9 + 9003. Let j = -0.71 + 1.1. Sort j, a, 0.2.\nAnswer: a, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 115*h**2 + h - 11. Suppose 5*g - j + 33 = 0, 6*g - 7*g + 3*j = 1. Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4550 + -4548.6. What is the fourth biggest value in -0.2, 90, s, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3012 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -113 (base 7) to base 2\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1288430?\nAnswer: 2, 5, 11, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -2. Let r(u) = 1 - 1 - y*u**2. Let k(s) = 2*s**2 - 3*s**2 + 2*s**2 - 2*s**2. Determine k(r(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.4024 + 1.4. Round f to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 331709189.\nAnswer: 7, 6353, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u - 485 - 235. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2\/61 + 43\/549. Put -1, 0, a in increasing order.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1207.827 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 + 5*k - 4. Determine d(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 19 - 15 = 0, -2*j = 2*t + 370. Which is smaller: t or -729\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/((h*h**(-2))\/h))\/(h*h*h*(h*h\/(h*h\/h**(-1)))\/h*h))\/((h**(-2\/13)\/h)\/h**(3\/2)))\/(((h**1\/h)\/h**(-2\/5))\/(h**5*h*h**(-2\/7)\/h)) assuming h is positive.\nAnswer: h**(7251\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 11:25 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -11*r + 2. Let g(c) = -7*c + 1. Give 8*g(l) - 5*x(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -626 + 543 - 8*g**2 + 83.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -14213*d = -14195*d + 360 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -131, -133, -143, -167, -211, -281, -383?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 18*i**5\/7 + 12*i**4\/7 - 22*i**3\/7 - 8*i**2\/7 + 8*i\/7 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -464 + 335. Let b = -24068.6008 - -24197.600679. Let m = b + o. What is m rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/16)\/((-1)\/6 - -1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1022055)\/(-427) - 3\/(-7)?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/90247068 and -95\/525456.\nAnswer: 360988272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/2*(-12)\/9. Suppose -5*t = -0*t + 5, 4*j - k*t + 1399998 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**16\/(h\/(h\/(h*h**(13\/5)))) assuming h is positive.\nAnswer: h**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the third derivative of -h**4\/24 + h**3\/6 - 72*h**2. Let s(a) = -a. Let c be s(0). What is k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -48 - -93. Let g = f + -34. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/4*12\/6. Suppose -18 = -5*a + 5*c + 932, 375 = 2*a + q*c. What are the prime factors of a\/15 + 6\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 213221 is divided by 525?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/6)\/(22\/(-66)). Let p(d) = -4*d - 1. What is p(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -16*r**4 - 4*r**3 + 14*r**2 + 6*r + 2. Let q(s) = 49*s**4 + 12*s**3 - 42*s**2 - 19*s - 7. Let j(m) = 14*c(m) + 4*q(m). Factor j(v).\nAnswer: -4*v*(v - 1)*(v + 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 654675635377 - -0.5.\nAnswer: 654675635377.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -457*w**2 + 1 + 467*w**2 - 1.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes before 7:21 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -27*f. Let q(w) = 6*w - 8609. Give g(q(r)).\nAnswer: -162*r + 232443","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1060560 is divided by 497.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1444202 + -231?\nAnswer: -1444433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2\/7, -0.06 in ascending order.\nAnswer: -0.06, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-2*(sqrt(264)\/(sqrt(24)\/sqrt(3)) - (sqrt(33) - -3*sqrt(33)*1))\/(sqrt(77)\/(-6*(sqrt(7) + sqrt(21)\/sqrt(3)))))**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 + 5*v**2 + 5*v + 8. Let i be a(6). Suppose 0*h + i*m = 3*h + 15, -m = 3*h + 24. Let o(f) = f**2 + 6*f - 4. Calculate o(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 78 by 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 6*g. Let o be d(-1). Let c be (-2)\/o - (-16)\/(-39). Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24.6 - 24.372. Let f = h + -2.608. What is f rounded to one dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 755.4362 * -10.\nAnswer: -7554.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/119 + 232\/357. What is the second biggest value in 8, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(14)\/sqrt(2)*-1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 638331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/(-28)*315\/90?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1602.657 nanoseconds in seconds?\nAnswer: 0.000001602657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1002087 and 111343?\nAnswer: 1002087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: ((((-4)\/9)\/(-2))\/((-125895)\/32373))\/3\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -4*y**5 - 16*y**4 + 2*y**3 + 4*y**2 - 7. Let f(s) = -3*s**5 - 15*s**4 + 3*s**3 + 3*s**2 - 6. Let d(v) = 7*f(v) - 6*u(v). Factor d(z).\nAnswer: 3*z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is the third biggest value in -1, -3, -2\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 501051346 a multiple of 1983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 852833341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -22, -349, -1362, -3445, -6982?\nAnswer: -12357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0*c - 4 = -2*n, -4*c - 2*n + 22 = 0. Let u = 1402655 - 1402643. What is the closest to 0 in -1\/3, 0, c, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -787 + 1292. Suppose -9*m + x = -10169. List the prime factors of m.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 5*z**3 + 23*z**2 - 50*z + 8. Let i(c) = -30*c**3 - 140*c**2 + 300*c - 50. Let g(y) = -4*i(y) - 25*q(y). Solve g(r) = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3454 + 5527?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132 = -4*m + 2*b, 4*m - 2*b = -m + 163. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -888 - -821. What is the second smallest value in 4, 5\/3, c?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 3, i: 3, g: 1, h: 1, t: 2, l: 2}. Give prob of sequence hty.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 2, g: 2, p: 2, q: 1, z: 1}. What is prob of sequence vqpp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 8 = -3*x - x, -2*j - 5*x = 10. Let i(u) = 2*u - 49. Let b be i(j). Let z = -22 - b. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12445662.1 - -0.2?\nAnswer: 12445662.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 4 - 2)*(4 - 1 - 2)*(25*f**3 - 6*f**4 - 25*f**3).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 1:25 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/198 - (-201)\/(-66).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -10826, -43408, -97712, -173738, -271486, -390956?\n\"Answer: -10861*h**2 + h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 73218059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/35 + (-2)\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 5*r**2 - 14*r - 45. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x**2 + 5055*x + 267400 = 0. Calculate x.\nAnswer: -955, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -355 - 4?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 257 = 6*o + 23. Let j(d) = d**2 - 12*d + 20. What is the remainder when o is divided by j(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.21 - -103.21. Let s = m + -70. Let b = s + -31.00004. What is b rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4.95 and -0.244?\nAnswer: -1.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 490 and 3696910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m - 58 = -18 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 634018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 46\/181811 and -33\/2545354.\nAnswer: 2545354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - -3)\/(4\/10). Suppose 0*p = v*p. Suppose 0 = -5*l - 3*n - 13, 5*l + p*n - 4*n = -41. Which is the second smallest value? (a) 2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 3 + (-1 - 15) + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nuxunnu. What is prob of sequence nxn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/8)\/(((-7992)\/96)\/37).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 347478*o - 88. Let r be q(-4). What is r rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s = 8*s + 58. Let f be 4\/(-8) - s\/2. Let v be (-4)\/f + (-6)\/(-21). Is v at least as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00062119143 to five dps.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 68017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/10 - 22\/(-5). Find the second derivative of -11*x**4 - x**4 - 5*x + z*x wrt x.\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**2 - j. Let r be k(-1). Suppose 9*f = -31*f - 320. Let w be 146*(-4)\/f + r. Calculate the highest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zpcpwwpccwcaawpwap. What is prob of picking 2 c and 2 w?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(81)\/sqrt(3)*-5 - ((sqrt(432)*2)**2 + -5)) + -2*sqrt(147)*6 + (3 + sqrt(147) + 0)**2 + -4.\nAnswer: -1571 - 57*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 770542*i + 1368459 wrt i?\nAnswer: 770542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2237971, -2237983, -2238005, -2238037, -2238079?\nAnswer: -2238131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 33465717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 6 - 3 + 2*x - 3*x. Let o(d) = -d**3 - d**2 + 3*d - 3. Let g be o(-3). Determine v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 141219889 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 41335 and 280?\nAnswer: 330680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 11 + 5 = 0, -5*k = 4*n - 101. Solve 35 = -5*p - 4*r - r, n = -3*p - 5*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -155\/8443531 or -1?\nAnswer: -155\/8443531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -19 - 1 - -8 - (8 + -4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -108*x**3 + x + 106*x**3 + 3*x + (-1 - 39 + 74)*(-4*x - 2*x**3 + 4*x) to the form m*x**2 + q*x + y*x**3 + n and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of -7*q**5\/20 - 47*q**4\/12 + 7*q**3\/3 - 35*q + 1. Factor s(z).\nAnswer: -z*(z + 7)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8.9 + -9. Which is smaller: r or 18\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -1446*s**2 + 158*s. Let j(p) = 45*p. Give y(j(n)).\nAnswer: -2928150*n**2 + 7110*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/49 and -83\/21084.\nAnswer: 147588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9102083 a multiple of 240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together 2431509 and 1.\nAnswer: 2431510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -247119 or -245847?\nAnswer: -247119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 11 = 3*t - 2, -t - 5 = -2*y. Suppose -5*v = l - 0*v - 32, -3*v = -y*l + 128. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-12)\/2*(910\/(-6))\/5. Suppose r = -23*l + 30*l. What is the greatest common divisor of l and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -47504400 to the nearest 100000.\nAnswer: -47500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 399, 386, 349, 276, 155?\n\"Answer: -2*q**3 + q + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 156 + -187. Let f = 30.87 + c. What is the nearest to -2\/9 in f, 3, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -3*c - 34. Let x be p(-17). Let v(u) = -3*u - 39*u**2 + 3*u + x*u**2. Let a(r) = r. Determine a(v(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 0.3 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -201 - 5?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1295851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24.12 + -24. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6 from 0.215.\nAnswer: -5.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 100 (base 6) in base 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 3*t = -585, -4*t + 3*t + 1420 = 5*b. What are the prime factors of b?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.16 + 1.16. What is the closest to i in 2, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/m**(-10\/7))\/(m*m*m**(-1\/2)*m*m)*m*m**(1\/6)*m*m**(4\/5) assuming m is positive.\nAnswer: m**(199\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 2*g - 2*p - 16, 5*g = -3*p + 1. Suppose -122*z = -128*z. Let f(i) = 13*i**2 + i**3 - 5*i**2 - 11*i**2 + 2 + z. What is f(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3936599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87 - -221. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8138451.\nAnswer: 3, 643, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -6*n + n**2 + 0*n + 6 - 2*n. Let r be c(6). Is 2 a factor of 0\/(-2) + (-4 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7, -9, -13, -19, -27, -37, -49?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -21. Let l be (-1)\/k*(-6)\/(-1). Does 5 divide (-3 - -2) + 9 - l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06471 to 3 decimal places.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -4*q + 181604, 0*q = 4*q + 4*h - 181604. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 + 0)*(-1 + 1 - f)*((-61*f - 1482 + 1482)*(-3*f + 5*f - f)*(-f - 3*f + 2*f) + 1 - f**3 - 1).\nAnswer: 605*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 2*v - 3 = 0, -6*v + 24 = -3*s - v. Let l(m) = -4*m**3 + 2*m**2 - 2. Let t(b) = -5*b**3 + 3*b**2 - 3. What is s*l(n) + 2*t(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert c6 (base 14) to base 7.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w = -16*w - 34500000. What is w rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -238, 4.\nAnswer: -238, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*x**3 + 15*x**3 - 2*x**3.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6874544.\nAnswer: 2, 429659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000101111001001011 + 11100000110?\nAnswer: -1000101011101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 15560751 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {p: 1, u: 2, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes after 6:49 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.5835 or -281?\nAnswer: -281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1.1 <= -0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 151.2984 + -150.6. Let m = f - 0.67. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 PM and 3:44 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.15225 - -150.73225. Let r = -0.58 + h. Let p = r + -139.9. What is p rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(6300) + (4 + 1 + sqrt(63) + sqrt(63))**2 + 2*(-5 + (sqrt(35)\/sqrt(5) - sqrt(7))**2) + 4.\nAnswer: 90*sqrt(7) + 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.4, 0.2, 0, -1.25, 87, -3, 0.062?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8 or 61\/9?\nAnswer: 61\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 11) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-112)\/(-36))\/(((-148)\/333)\/(8\/6))?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**2 + b. Let i be r(-2). Suppose 2*n - 86 = -4*z, -3*n - z = 24 - 128. Calculate the remainder when (n\/(-2))\/(i\/(-4)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 5 - ((-13)\/(117\/45) + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 233248?\nAnswer: 1166240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/192 and 107\/505530?\nAnswer: 16176960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 2*u + 12. Let b be t(-6). Suppose b*p = 4*p - 136. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 23 from -41761.\nAnswer: -41784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8.321587ml in litres?\nAnswer: 0.008321587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -q**2 - 39*q - 825. Give l(-19).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v**2 + 76*v - 336 = 0 for v.\nAnswer: 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -14*d**2 - 2*d + 2. Let y(r) = 141*r**2 + 21*r - 21. Calculate -21*o(c) - 2*y(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c + 2. Suppose x + s - 6 = 0, 4*x - 4*s = -0*x. Suppose 0 = -o + x. Suppose d - 4 = o. Determine f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that f**2\/3 + 49*f - 2080\/3 = 0.\nAnswer: -160, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 21.643230785 plus -30?\nAnswer: -8.356769215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/24)\/(((-55)\/(-50))\/11)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = 3*u + 12, -a = -2*u + 4 - 12. Suppose -6*v + 32 + 34 = a. Solve 5*t - 2*i - 12 = v, -35 = -5*t + 5*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 5 = 9*f. Which is bigger: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 3*x - 6*x - 19, 4*a = -x + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-220)\/(-231) + -4*3\/42. Which is the closest to 1\/3? (a) 3 (b) o (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24368440451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-3 + 2)*(-82)\/2. Let v be (-7 + t\/5)\/(6\/100). Solve 4*b - 8*b = v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 f when three letters picked without replacement from {s: 9, f: 6, b: 2}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -7345, -58808, -198509, -470560, -919073, -1588160?\n\"Answer: -7352*n**3 - 7*n**2 + 22*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31089*r**2 + 105397*r**2 + 12256*r**2.\nAnswer: 148742*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 40929073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 99 in 3\/8, 0.2, -1\/8, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 108865.14 + -108424.13801. Let y = -441 + i. Round y to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 85*a + 9*a - 94. Let i be ((-24)\/16 - -1)*(a + -3). Let y = -428\/5 + 85. What is the nearest to 2\/15 in y, i, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that m**2\/3 - 11266*m\/3 + 346363 = 0.\nAnswer: 93, 11173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*x - 2*g = 167, -g = 3*x - 494. Suppose -2*o - x = -5*o. Suppose -n + 2*a - 6 = -28, 5*a - o = -3*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -36041179 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4713928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2958265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0.1 (b) -0.5 (c) -4.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31379*21.\nAnswer: 658959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19764 is divided by 2359.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**3 - 14*l**2 - 31*l - 11. Let u be a(16). Suppose 4*i + u = -23. Let h(j) = j**2 + 9*j. Give h(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55873?\nAnswer: 59, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2 + ((sqrt(931) + 1 + sqrt(931) - sqrt(931))*-2)**2).\nAnswer: 168*sqrt(19) + 11190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - 5) + (-1 - 1). Let d = -8443 - -50797\/6. Find the common denominator of d and 1\/2 - 54\/s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 - -1)\/(5 + -3). Let b(k) be the first derivative of 8*k**3\/3 - k**2 + k - 134. Determine b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 4*v + 2*t + 35, -5*t + 100 = -5*v. Let a be 2 + (-5)\/(v\/25494). Round a to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 177 + -102. Let n = -99 + g. What is the common denominator of (-82)\/n - (14\/(-4) - -2) and 63\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3269305232 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 471 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n + 0*n + n**2)*(5*n - 5*n - n) - 388*n**3 - 818*n**3 - 86*n**3 - 801*n**3.\nAnswer: -2094*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 5*f - 248314 = 0, -8 = -9*f + 5*f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = b + 2. Let r = 5 - b. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 114 (c) -0.2 (d) -4\/5 (e) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 48 - 46. Suppose -h*w - 3*i = -12, 19 = 4*w + 4*i - 1. Solve w*l - 5*l - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i**2 + 536*i + 17956 = 0. What is i?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or 610?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2326 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5427 + -2815. Let g = 976 + -2249. Let f = k + g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 2. Suppose 3*o + 0*u + 2*u - 32 = h, -5*o + 2*u = -48. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -249*f**2 - 5*f - 5. Let z(a) = -253*a**2 - 3*a - 4. Calculate -4*o(l) + 5*z(l).\nAnswer: -269*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, -1.409, 4, -6, 2\/3, -3, -2.\nAnswer: -6, -3, -2, -1.409, 2\/3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -12, 28242, -4, -2 in descending order.\nAnswer: 28242, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.032897 take away -683698?\nAnswer: 683697.967103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26.18 + -7.12. Let s = -33 - k. Let b(a) = a**2 + 2*a. Let j be b(-1). What is the closest to -0.1 in 2, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhap. What is prob of picking 1 p and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59142 = -f - 118*a + 114*a, -59140 = -f - 5*a. List the prime factors of f.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 15*m - 162. Let i be u(11). Suppose -9 = i*s - 0*s. Let d be -10*1\/4*2. Sort s, 2, d.\nAnswer: d, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*s**3 - 12*s**3 + 48*s**3 - 3*s**3 + 1 + 2*s**2 - 9*s**3 to the form o*s + t*s**2 + u*s**3 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 + -2. Let o be -3 + (8\/24)\/((-1)\/(-36)). Suppose -5*t = -o - p. What is the remainder when 4 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11 or 28\/29?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 28, 3218, 24.\nAnswer: 5, 24, 28, 3218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 6*x**2 - 3*x - 3. Let i be d(-1). Suppose -i*w + 3*w = -144. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.45 + -0.65. Which is the second smallest value? (a) -0.1 (b) 1 (c) v (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 4 = -19. Let l(g) = -g**2 + 7*g - 4. Let s(i) = i**3 - 7*i**2 + 10*i - 21. Let y be s(6). Calculate the remainder when l(y) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10984182 is divided by 2311.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b = -2*i + 23, b + 5*i = 3*b + 59 - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10.4 - 1.4. Let m = 8.82 - i. Let w = 0.17999995 + m. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**2 - 84*z - 12. Let k(c) = -70*c - 10. Let g(b) = 5*a(b) - 6*k(b). Let w(y) = 74*y - 1. Calculate w(g(h)).\nAnswer: -370*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-21))\/((-4)\/7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/3 and -30\/116837?\nAnswer: 350511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*m**3 + 0*m**3 + 19*m**2 + 8*m**3 - 2*m wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 5*n. Let c be -2*(-3)\/((-6)\/4). Let t be (-8)\/12 + c\/(-6). Let p(m) = -4 + t*m + 2*m + 4. Determine p(i(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -71120 divided by 2540.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 AM and 9:24 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1083, -2160, -3237, -4314?\n\"Answer: -1077*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88085.\nAnswer: 5, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 3, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.588 + -1.088. Suppose 0 = -3*n - 2 + 8. Put 0.3, w, -1, n in increasing order.\nAnswer: -1, w, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 275*d**2 - 3*d + 4. Let u be l(1). What is the highest common factor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 259 and 166500?\nAnswer: 1165500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 317163 is divided by 104394?\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 6059.881 millilitres in litres?\nAnswer: 6.059881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 18 - 23. Put -3, -2, r in increasing order.\nAnswer: r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*y**3 + 485 + 29608*y**2 - 8*y**3 - 29607*y**2 wrt y.\nAnswer: -36*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 532 is divided by 265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 96957.73 centuries?\nAnswer: 9695.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 3 - 2 + z + 3*z**2 - 5*z**2 as v + n*z + j*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4078?\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -189, -218, -247, -276, -305?\n\"Answer: -29*g - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*2*sqrt(95))\/sqrt(720) + (sqrt(1216) + 0 + sqrt(1216))*2 + -5.\nAnswer: -5 + 97*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 70217 divided by -513\nAnswer: -70217\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -175970, -351813, -527654, -703493, -879330?\nAnswer: -1055165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 156*q = 128*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 13\/14 (b) -3 (c) 0 (d) -1\/3 (e) -2\/11 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 255 - 254. Sort w, -4, 25, -4\/3.\nAnswer: -4, -4\/3, w, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1, -6\/11, 37, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -3, -13150, -0.2 in descending order.\nAnswer: 0.3, -0.2, -3, -13150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**3\/13 + 536*o**2\/13 - 542*o\/13 - 1076\/13.\nAnswer: 2*(o - 2)*(o + 1)*(o + 269)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -l**3\/5 + 33*l**2\/5 - 216*l\/5 - 972\/5 = 0. Calculate l.\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 36 and 312?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14938631 is divided by 2890?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 6 + (-76 - 24 - -86)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**5\/12 - 7*b**4\/24 + b**3\/3 + 5*b**2. Let x be v(-10). Let q = -279 - x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, 342, 4\/9, -1 in descending order.\nAnswer: 342, 4\/9, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 720188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1249b3 (base 15) to base 11\nAnswer: 549433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/((-4)\/(-20) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -2\/7, -1.631 in decreasing order.\nAnswer: -2\/7, -1.631, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 6:09 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/1*25406 - (42 + -40). Round d to the nearest one thousand.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3631*m - 1291*m - 637*m + 871*m to the form g + j*m and give j.\nAnswer: -4688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - (-1)\/(2\/6). Let s be 0\/(-4) + z\/10. Factor 1\/2*m - m**2 + s*m**3 + 0.\nAnswer: m*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - (7 + (-10 - 4)) - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -102406*v**3 + 102452*v**3 + 6213*v - 6211*v.\nAnswer: 46*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i**2 + 6*i + 18. Calculate h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10.053 - -1.053. Which is the second biggest value? (a) i (b) -1 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8287.\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 23 in -0.2, -7\/2, -26.7, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -70.61 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24700\/(-200)*184\/(-1196).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 1 i when three letters picked without replacement from {i: 2, d: 4, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/39)\/(117*(-16)\/8112).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - -3)*13\/(-2). Let z be ((c + 1)\/4)\/(-1). Suppose -z = 2*j - 5*j. Let m(k) = 2*k**3 - k. Calculate m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*4*((-1*(sqrt(931) + -1) - sqrt(931))**2 + ((sqrt(931) + -2*(-1 + sqrt(931)) - sqrt(931))**2 - sqrt(931))).\nAnswer: -59624 + 728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 11498 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -400*n - 1953 = -12353 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 22 and -11835?\nAnswer: 11857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 11078, 22143, 33192, 44219, 55218, 66183, 77108?\n\"Answer: -b**3 - 2*b**2 + 11078*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*r - 10 = 90*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 - 6*r**2 + 2*r - 9. Suppose -6*c + 2*c = -24. Let n be d(c). Let j(q) = 91 - 46 - 46 + 3*q - q. Give j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnrxnrrxennrexnrxx. Give prob of picking 2 e.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 64 + -80. Let k(f) = f**2 + 13*f - 39. Let j be k(g). Solve -7 = 4*h + j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 85 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4777138, -4777139, -4777140, -4777141?\nAnswer: -4777142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -1. Let r(d) = -3*d**2 + 5. Let l(h) = -r(h) - 5*y(h). Let x(u) = -11*u**2. Give l(x(i)).\nAnswer: 363*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -77 + (-11 + 24 + 32 - 23)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 2*y + 142 = 3*y, k = y - 30. Let z be (k - 2)*(-6)\/18. Let n be (-16)\/(-2)*(-10)\/(-8). Calculate the highest common divisor of n and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*s**2 + 0*s**2 - 4*s**2 + s**2 + 0*s + 0*s + (-3*s + 3*s + s**2)*(-3 + 4 - 3) - 2155*s**2 + 110*s**2 + 2*s + 369*s**2)*(s**2 - s**2 + s**2).\nAnswer: -1675*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express (17 - 13*r - 12*r + 24*r)*(-3*r**3 - r**3 + r**3) as m + z*r**3 + s*r**4 + h*r**2 + x*r and give z.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 130557*j. Let s(y) = 2*y - 1412. Determine d(s(m)).\nAnswer: 261114*m - 184346484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, n: 1, q: 1, l: 2}. Give prob of sequence bl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2 + -2 + -1)*-89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -30*m + 2. Let o(l) = -47*l + 32. Let w(c) = -24*c + 15. Let p(j) = 6*o(j) - 13*w(j). Let b(z) = 2*p(z) + 3*y(z). Let v(d) = -2*d. What is b(v(t))?\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (((1 + sqrt(19))*2 - (sqrt(95)*-1)\/sqrt(5))**2 + (sqrt(19) - (sqrt(19) - (-2 + sqrt(19) + 0 + sqrt(19))) - sqrt(19) - (sqrt(684)*-2)**2))*-5.\nAnswer: -65*sqrt(19) + 12815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 4 + y + 2*y + 4 - 4 + (-3 + 1 + 0)*(y + 0*y + y))*(11*y - 8*y - 1 - 7*y) to d*y + v*y**2 + m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 585355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1862 and 6508.\nAnswer: -12117896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(99)*1*3 + 2 + sqrt(99)*-2 + 5 + 4)**2.\nAnswer: -660 - 198*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**2 + 20*w - 77. Let c be f(9). Suppose c*y - 20 - 68 = 0. Solve -b - 3*q + 12 = 0, 3*b + 0*q + q + y = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -67*q. Let u(l) = 172*l - 902. Let r(y) = 57*y - 328. Let h(b) = 11*r(b) - 4*u(b). Give h(d(t)).\nAnswer: 4087*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 600114.9 millennia?\nAnswer: 6001149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z = -16*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -25 * 345.27354\nAnswer: -8631.8385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 49 times -87294.46?\nAnswer: -4277428.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from hyuuxuzuh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 37358*m**2. Let p(t) = 2630*t**2. Determine p(a(f)).\nAnswer: 3670481031320*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*h + 80*h - 83*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1862 take away 5?\nAnswer: -1867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the second derivative of -r**6\/6 + 7*r**5\/10 - 53*r**4\/3 + 5*r - 21. What is the third derivative of i(m) wrt m?\nAnswer: -120*m + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 927082613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/8*-4*(0 - -1). Factor 10*y - 5*y**2 + q*y + y**2.\nAnswer: -4*y*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -29 - -37. Suppose -y = 5*s - 6*s + k, -3*y - 4 = s. Let c(i) = -i**2 - i. Give c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2586 + 474 + 25213*l + 25210*l - 50430*l in the form z*l + s and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.351 times 4\nAnswer: 1.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 - 7. Let u = 0.4 - -1.6. Let p = u - d. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5 or -1234531?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2797193320.\nAnswer: 2, 5, 2357, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 11 + 24413733?\nAnswer: 24413744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -248942 minus -1?\nAnswer: -248941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -5431.848 to the nearest 10.\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 6416.619 millilitres to litres.\nAnswer: 6.416619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 - 36*i**2 - 34*i - 119. Give f(37).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 - 11*t - 2. Let h be r(-11). Let i = 7 - h. Suppose 0 = -4*a + i + 7. Solve -2*k - 2 = a*w, 0*w = 3*w + 3*k - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, v: 2, i: 9, g: 1}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 48916 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.04632507 or -1\/4?\nAnswer: 0.04632507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -44*s - 60 + 5*s + s + 59 - 43*s. Let y(h) = 32*h**2. What is y(w(f))?\nAnswer: 209952*f**2 + 5184*f + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 621 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or -1\/929?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 95*u = 84*u + 14971. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 605 and 74965.\nAnswer: 824615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, 1, -5, 359, 0.4 in ascending order.\nAnswer: -5, 0.4, 1, 4\/3, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 4, 0.2, -2 in decreasing order.\nAnswer: 4, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*u**3 - 502918*u**2 + 2*u + 33661825 wrt u.\nAnswer: -12*u**2 - 1005836*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t**3 + t**3 - 2*t**3)*(-2 + 3 + 0)*(-4 + 2 + 3).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2. Let m(l) = 166*l - 60*l + 339*l - 24*l. Determine g(m(b)).\nAnswer: -177241*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-844)\/(-20) + -23 + -20?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*5*3*sqrt(117)*-5)\/(sqrt(441)*4 - (sqrt(9) - 3*sqrt(1089))).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/298 in 1\/11, 2\/7, 0, -6\/7, -0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 1110100100111?\nAnswer: -1110100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 74.8554345 seconds to weeks.\nAnswer: 0.00012376890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10, -3, 26, 83, 174?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 7 - 5 - 2*a + 18 + 0. Let d be r(6). Let i(b) = b**2 - 4*b - 11. Determine i(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (m + 1 - 1)*(-1 + 1 + 3*m**2) + 3*m - m**3 + 0*m**3 + 0*m + 0*m**3 - 3*m**3 + 0*m**3.\nAnswer: -m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 - 4*c**2 + 14*c - 8. What is the remainder when q(-7) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is ffc - -917?\nAnswer: 1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2802987 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11095\/6 + 1845. Calculate the common denominator of (3\/(-4))\/((-10)\/(-164)) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 507*y**3 + 13509*y**2 + 513*y**3 - 1018*y**3.\nAnswer: 2*y**3 + 13509*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - m + 107. Let h(d) = d + 15. Let r be h(-10). Suppose r*f = 90 + 95. What is the remainder when s(0) is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5608 - -5692. Solve 0 = 29*y - 90 - t for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 4*l - 506 = 0, -2*j - j + 4*l = 538. Let w = j - -178. Solve w = -2*o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + -a017d?\nAnswer: -a0183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -14337*o**2 - 5588*o + 18. Let i(h) = 10752*h**2 + 4191*h - 14. Let z(p) = -7*d(p) - 9*i(p). What is the second derivative of z(y) wrt y?\nAnswer: 7182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -73 - -72. Let o(w) = 2*w**2 - 8*w - 5. Let u(v) = -v**2 + v + 1. Let q(h) = y*o(h) - 4*u(h). Let g(z) = z**2 + z + 1. Calculate g(b) - q(b).\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -172 - 73?\nAnswer: -1e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -247280 divided by -1405.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -594914*w**2 - 172702*w**2 - 23200*w**2 - 182632*w**2.\nAnswer: -973448*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (48\/(-36))\/(2\/(-6)). Differentiate 15 + 12 - 16*s**4 - p*s**4 - 7 wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, o: 6, j: 3, y: 1, n: 3, w: 1}. Give prob of picking 1 g, 1 n, and 1 o.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5651016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let m = -29.31 + 32.2. Let y = 0.89 - m. Which is smaller: y or -6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (2\/(-21))\/((-28)\/3024)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 5*x + 9 = 0, -5*v - x + 5*x + 24 = 0. What is the hundreds digit of (7 - -250)\/(-3 + v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12820 and 2195?\nAnswer: 5627980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k + 8. Let h be (40\/12)\/((96\/(-36))\/4). Let u(g) = 5*g + 69 + 8*g - 10. Let s be u(h). What is i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 75 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5253 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104*k - 270 = -50*k. Which is the nearest to -1? (a) 1\/4 (b) k (c) -38\/9 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v + 10. Let p(y) = 89933*y**2. Calculate x(p(a)).\nAnswer: 89933*a**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*-1 + 5\/1. What is the third derivative of 4*i**2 + 2*i**4 - 4*i**l + 3*i**4 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 3*k**2 + k - 8. Let p be n(4). Suppose -13 = -5*w + p. Let v = 14 + -15. Put w, -4, v, 1 in decreasing order.\nAnswer: w, 1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 AM and 8:52 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29.964 - -0.036. Let h = 30.0000063 - r. What is h rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 4, b: 1, i: 2, d: 7, t: 4}. Give prob of picking 2 w and 1 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -75 - -106. Suppose 15*y - 12*y - 18 = 0. Suppose -y*a - 3*a = -54. Calculate the lowest common multiple of a and x.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 426 - 427.0656. What is s rounded to 2 decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7430000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 - -10. Let o = z - -4.4. Let p = 3 - -1. What is the smallest value in p, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 12*s**3 + 14*s**2 - 317*s + 946. What is y(3)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -312 - -312. Is j at most 169\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -19*f. Let t(j) = -21*j. Give s(t(w)).\nAnswer: 399*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 62645799 is divided by 12529154.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 21 = -5*p. Let d = -25.8 - -26. Which is the third smallest value? (a) p (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -150 (base 11) to base 4.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 5*i**2 + 3*i - 3. Let g(l) = -l**2 - 28*l + 248. Let z be g(7). Let t(o) = -60*o**2 - 35*o + 35. Give z*t(m) + 35*b(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 5760?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 17 = 2*u, -f + 6*f = -25. Solve -4*i - u = i + a, 8 = 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 10450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3703*v**2 + v - 3345 wrt v?\nAnswer: 7406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 809*b + 6478. What is n(-9)?\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -124, -254, -386, -520, -656, -794, -934?\n\"Answer: -k**2 - 127*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1487 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/5 - 48*t**2\/5 + 231*t\/5 - 294\/5.\nAnswer: 3*(t - 7)**2*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and (2\/(-1))\/(-2) + 27?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7773649080 to the power of 1\/2, to the nearest integer?\nAnswer: 88168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 757432 and 624.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (36\/4 - 2) + -1. Suppose 11*o - 100 = s*o. What is the lowest common multiple of 6 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*w - 20. Let q(r) = -4*r + w*r - r. Let c(l) = 14*l. Calculate q(c(n)).\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 4*o + 47 = 0, 5*h + o - 28 = 4. Let l = h - 5. Suppose q = -l*q + 18. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -3*y - 0*a + 24, 16 = 2*y - a. Let n(r) = -r + 13. Let g be n(y). What is the third derivative of -12*d**6 + 8*d**2 + 20*d**6 + g*d**2 wrt d?\nAnswer: 960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39060, -312521, -1054766, -2500185, -4883168, -8438105?\nAnswer: -13399386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 27898\/7659 - (-10)\/(-115). Factor -2\/9*f**3 - h*f - 16\/9*f**2 + 0.\nAnswer: -2*f*(f + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 781933 and -0.1.\nAnswer: -78193.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -l + 2024, 3*n - 4028 = -2*l - n. Suppose l + 522 = 2*a. Is a + (-8)\/(-12)*-6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of -7*k**6\/120 + k**4\/6 - 5*k**2. What is the second derivative of b(h) wrt h?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 72*g**2 - 138*g**2 - 15*g - 4*g**3 + 5*g**3 + 71*g**2. Let p be r(-7). Calculate the highest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - r**5 + (-2*r**2 + 2*r**2 - 2*r**5)*(2 + 1 - 2) + (7*r**3 + 15664*r - 15664*r)*(-81*r - 6*r**2 + 81*r).\nAnswer: -45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 100, 554, 1786, 4186, 8144, 14050, 22294?\nAnswer: 33266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be -6 - (5 + (-10 - 4)). Find the second derivative of -48*g**3 - 20*g**2 - 25*g + 101*g**3 - 49*g**t wrt g.\nAnswer: 24*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8880 - -9010. Solve m = -24*l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3347, 3356, 3379, 3422, 3491, 3592, 3731?\nAnswer: 3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28898.\nAnswer: 2, 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 555 divided by 1917\nAnswer: 185\/639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (-1 - (6 - 11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -288 + 301. What is the remainder when 45 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(684) + -3 + -4)**2 + -4*-1*(1*sqrt(1539) - sqrt(1539)))*-2.\nAnswer: -1496 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/3340 and -63\/20?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -184 - -68. Let d = 167 + i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -61230708 by 37.\nAnswer: -1654884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14*d**3*k + 53*d**3 - 153*d**2*g*k + 14510*d*k + 7*g*k wrt d?\nAnswer: -84*d*k + 318*d - 306*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -0.1 times -955\nAnswer: 95.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58435?\nAnswer: 5, 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.106 - 0.106. Let g = u + 166. Let v = 170.11 - g. What is v rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45047519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 131 - 14*h - 124 + 8*h. Suppose -3*q = 4 + 11. Let f be a(q). Calculate the greatest common divisor of 259 and f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9394, 9470, 9594, 9766, 9986, 10254?\nAnswer: 10570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(297) - (sqrt(297) + sqrt(297) + sqrt(297)*3) - sqrt(297))\/(3*sqrt(108)) + 1.\nAnswer: -5*sqrt(11)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/9*3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1331528 = -5*i + 614412. Suppose -t - t = -i. Let p = -1505406 - t. Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 - 2*w**2 + (-173 + 184 - 13*w + 4*w)*(w - 7 + 7).\nAnswer: -11*w**2 + 11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 5*10\/(-50) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**3 - 6*x. Suppose -5*f + 33 + 22 = 0. Suppose f*b - 40 = 3*b. Let c(p) = 2*p**3 + 7*p. Give b*g(s) + 4*c(s).\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-70)\/16 + 4 + (-18)\/(-48). Solve -14*c + 10*c + 16 = q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -17.98767 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 13*l**3 + 5*l**2 - 5*l. Let i(j) = -13*j**3 - 6*j**2 + 6*j. Suppose -50*s - 334 = -34. What is s*h(n) - 5*i(n)?\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*y - 3*y = 0. Suppose y = 9*z - 12*z + 234. What is the greatest common factor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3410000 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 - -31. Suppose 56 = 4*u + 5*v, 0 = v + 2*v - j. Calculate the highest common divisor of u and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 2*i + 20. Let g be -2*i\/(-8) + -1. Let y(f) = f**2 - 2*f - 3. Calculate y(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 241*h - 659 = 64 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/(-4) - 85\/20)*22\/308.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, d: 3}. What is prob of sequence fdd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5.7, 0.2 in descending order.\nAnswer: 5.7, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001 - 0?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*c = -23*c - 24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 46957 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 30616 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 - 9. Let q be a(3). Suppose -5*i + 3*i + 130 = q. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 893 is divided by 879?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -175 - -397. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 514505*0.25\nAnswer: 128626.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/108540 and -95\/20502.\nAnswer: 1845180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/((w**(4\/5)\/w)\/w))\/((w*w**(-1\/4))\/w))**7 assuming w is positive.\nAnswer: w**(343\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 86 - 203. Let b = d + 45. Let k = b - -72.33. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddeddbelddlddddl. What is prob of picking 3 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1072991, 2145685, 3218377, 4291067?\n\"Answer: -r**2 + 1072697*r + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.122 - 9.122. Let v = -27.6 - -27.3. Which is the closest to -2? (a) i (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -140, -9, 1, 4, 161 in increasing order.\nAnswer: -140, -9, -2, 1, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2635723.9999688 + 2635744. Let u = -20 + i. What is u rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 151.00584 nanoseconds?\nAnswer: 0.000000002516764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3184\/597)\/(2\/(-12))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18342 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-33)\/6)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 823 divide 70930900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - j + 4*m - 968, -2*m = 3*j - 1444. Is 24 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, a: 4, d: 3}. Give prob of picking 2 a and 2 d.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:08 AM and 10:36 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 PM and 9:01 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 5, 5\/198, -1\/12, 1\/4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -76773 by -3.\nAnswer: 25591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -4478100, -8956167, -13434234, -17912301, -22390368, -26868435?\n\"Answer: -4478067*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -4*d + 1 + 5*d - 2 - 20*d**3 + 2. Let h be y(-1). Suppose 4*m - 6*m - 3*z + h = 0, -3*z + 46 = 4*m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 4 = 12*q - 9*q, 3*q - 14 = 2*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 2*h**2\/11 + 392*h\/11 + 3720\/11 = 0.\nAnswer: -186, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14298563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 108487*v + 26. Let c be p(2). Round c to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*d = -8*d - 8*d + 98352. What are the prime factors of d?\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/145 less than or equal to 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 86 + 34. Find the common denominator of (40\/(-9))\/(70\/z) and -9\/49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5462 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 131*m**2. Let b(a) = -a. What is b(i(p))?\nAnswer: -131*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 58814, 63603, 68392, 73181, 77970?\n\"Answer: 4789*n + 54025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -11 - 28*z + 8*z + 9*z + 8*z. Let b be l(-5). Sort 2, -4, -3, b in descending order.\nAnswer: b, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -3, -4, -0.5, 0.62?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tybtatboboar. Give prob of sequence brt.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 + 18 = -5*d - 3*c, -15*d + 114 - 109 = -5*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 228988665 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -3*g**2 + 4*g + 4. Let t = 7 - 11. Suppose k - 6*k = 20, u + 2*k + 6 = 0. Let o(m) = -3 - 11*m + 0*m + 8*m**2 - u - 6. Calculate t*o(v) - 11*x(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 226, 1878, 6356, 15070, 29430, 50846?\n\"Answer: 235*m**3 + 3*m**2 - 2*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the second derivative of -c**4\/18 + 358*c**3\/9 - 32041*c**2\/3 + 645*c. Factor j(n).\nAnswer: -2*(n - 179)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 126 - 85. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000347597 to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 + 2*j**2 - 111*j + 6. Let o(y) = y**3 + 2*y**2 - 110*y + 7. Give 5*c(p) - 4*o(p).\nAnswer: p**3 + 2*p**2 - 115*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1856928 and 64032?\nAnswer: 1856928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = -4*q + 36, -q + 37 = -2*k + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/9)\/((-133)\/21).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5962488420.\nAnswer: 2, 3, 5, 7, 19, 281, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**2 + 5*h. Let z(b) = -2*b + 5. Let w be z(5). Let k be m(w). Differentiate k + 0 - 2 + 7*d**2 with respect to d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 677 is divided by 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-408)\/40 + (-231)\/(-105). Put -1, c, 112 in decreasing order.\nAnswer: 112, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**16)**(15\/4)*((s**(-20)*s)\/s)\/(s\/(s**(5\/2)\/s)*s) assuming s is positive.\nAnswer: s**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -12 (b) -1\/4 (c) 0.3 (d) -0.1 (e) -53\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-11 - (-9 - (1 - 4))) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.1287 or -0.0991?\nAnswer: -0.0991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 34.89 - 34.69. What is the closest to -1 in -1, -0.1, i, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -1269*x - x**2 + 2*x**2 + 1267*x to the form p*x + j*x**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1 + 1 - 7 - z**2 as x*z + t + o*z**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14039920611 - 3.54.\nAnswer: -14039920614.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 + -8. Calculate the smallest common multiple of 8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1\/(((-30)\/300)\/((-7)\/5))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.24 - -1.04. Let j = z - 0.821. Let w = -0.021093 - j. Round w to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 24\/(1 + 20\/(-12)). Is 11 a factor of s\/21*(-70)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 33690427 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_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: Round 0.1577131979 to 3 dps.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - (-4 + -8 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -20070*m + 10043*m + 1 + 6861*m**2 + 10027*m as t*m + a + q*m**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -112684730 - 34733.\nAnswer: -112719463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 99 - -209. Let x be 2 - (-2*3 - -4). Suppose -4*f - w = -4*s, -s - 3*f = x*s - 385. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2 or -324.205?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 1\/8094?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 8, b: 1, e: 6}. What is prob of picking 3 e and 1 z?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ljltvfgg. What is prob of picking 1 j and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7462\/(-91)*(99\/(-24))\/11)\/(-3)?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 - 7*n**2 - 13*n - 13. Let d be j(-5). Let c be (-25)\/(-3) - 1\/3. Let h = c - 6. Solve -b + 4*y = 7, -3*y + d*y - h = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7\/3 - (-8)\/12. Suppose -3*o - 13 = m + 4, -m - 9 = o. Put o, a, -2\/11 in descending order.\nAnswer: a, -2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7 and 136717.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7406\/69)\/(-23)*48\/(-320).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*b + 252 - 82 = 0. Solve 5*y + b + 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 98 and 1053941?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r + 26 - 18 + 2 + 14 + r.\nAnswer: r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 318 a factor of 3410550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 3*t = -3*t + 8*t + 4, -11*t = -7*t + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + 3. Suppose -23 = -2*i - r, -4*r + g = i - 2*r. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 389 divided by -389?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 12:20 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sdddddsd. Give prob of sequence ddd.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-73)*(-204108)\/2796.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (45\/30*(-4)\/21)\/((-152)\/(-133)). Do 5083 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 - 8. Let z(g) = g**2 - g. Let p(w) = -6*w**2 + 3*w. Suppose 0 = -612*d + 602*d - 30. What is d*z(o) + j*p(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -2*p**2\/3 + 236*p\/3 + 160 = 0. Calculate p.\nAnswer: -2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*j + 11*j + 2*j + 9*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:26 AM and 4:18 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 1763*d - 1022*d - 930*d + 1 in the form i*d + c and give i.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + (7 - 4 - 2) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*(54\/9)\/36)\/((-301)\/(-172)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 7*x + 3. Let h be c(5). Suppose -5*d = -2 - h. Let f(z) = 4*z - 9. List the prime factors of f(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 36, 53, 92, 165, 284, 461?\n\"Answer: 2*u**3 - u**2 + 6*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j**2 + 11. Let m = -7 + 4. Suppose 4*f = -7*c + 3*c + 16, 16 = 4*f + 3*c. Let t(r) = 6*r + f*r**2 - 6*r - 3*r**2 - 4. What is m*i(z) - 8*t(z)?\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 66 and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*x - 16. Let s(b) = b**3 - 10*b**2 + 8*b + 9. Let y = -52 + 61. Let i be s(y). Put x, 4, i in decreasing order.\nAnswer: x, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 6591*y - 3976. List the prime factors of i(5).\nAnswer: 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1785541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14\/70 - (-33476)\/20?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(1425) + (sqrt(57) - -6*sqrt(285)\/sqrt(5)))\/(sqrt(27)\/(sqrt(900) + sqrt(900)*2)*3).\nAnswer: 370*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - 2)*(-1 + 0). Suppose 332*u = 333*u - 8, -5*b = 5*u - 45. Suppose 0 = 4*m - 0*m + 5*x + 9, -4 = 4*x. Sort v, m, b.\nAnswer: m, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 96*m**2 + 153*m - 1028. Let p be x(7). Calculate the highest common factor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 i when three letters picked without replacement from lmmmomoommimooomzl.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -116 - 2*a + a**3 - a**5 + 8*a**4 + 116 + 0*a**5 + 3*a**5 + 2*a**5 + (0*a**4 + 4*a**4 - 3*a**4)*(a - 2*a + 3*a) - 3*a**5 + a**5 + a**5.\nAnswer: 5*a**5 + 8*a**4 + a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42379 - -127138\/3. What is the smallest value in -19, -0.7, -4\/7, k?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00501 rounded to four dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lcllccccclllcl. What is prob of sequence ccl?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 204 divide 504275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 398459741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Solve -10*r = -8 + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100100 - 1001101000000001111100011?\nAnswer: -1001101000000010000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 35 = -i, -45*i + 4*i = -2*k - 45*i - 44 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 40709941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.75 + -0.15. Let m = v - 0.5. Which is the third smallest value? (a) 0.3 (b) m (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2895*o + 5878*o - 3103*o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -6*i**2 - 2*i - 9. Let b(x) be the second derivative of -5*x**4\/12 - x**3\/6 - 4*x**2 - 6*x. Let z(g) = 5*b(g) - 4*t(g). Determine z(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**4\/5 + 144*j**3\/5 + 2189*j**2.\nAnswer: -j**2*(j - 199)*(j + 55)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1674098 * 0.4\nAnswer: -669639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p + 7. Let n be u(-3). Suppose 0 = -s + 5 - 6. Let w = -1.7 + 2. Put s, n, w in ascending order.\nAnswer: s, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 872 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2860 - 2846. What is the greatest common factor of 1561 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 2*n**5 - 352*n**4 + 9416*n**3 - 62380*n**2 + 87350*n + 159500 = 0?\nAnswer: -1, 5, 22, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together -115262 and 69.19.\nAnswer: -115192.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1393\/398*((-18)\/105)\/2.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 385683963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 6 = 2*g + 1, 5*g - i - 9 = 0. Determine f so that 47*f - 33*f - 5*f**g + 16*f = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-1 + 3) - (37 - 39) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuuccucucucccccu. Give prob of picking 2 c and 1 u.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-5\/6)\/(((b\/(b**19\/b*b)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1759470 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14 - -18. Suppose -3*g = 4*q - 2*g - 21, -8 = 3*q - h*g. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*r - 5*y = 22*r + 136781, -102582 = -3*r + 5*y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 41 - 57. Let z = t + 16.3. Are 0.2 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -260524172 - 261335\nAnswer: -260785507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*y - 20*y = 5*a - 48, -3*a = -3*y - 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 599*c - 295*c - 302*c. Let m(j) be the first derivative of 23*j**3\/6 - 11*j + 3. Let s(d) be the first derivative of m(d). What is n(s(v))?\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 3*y + 4. Let h(o) = 6*o**2. Determine t(h(k)).\nAnswer: 18*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -2926382 > -2926382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5 (b) 7 (c) 82 (d) 1602\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c + 4. Suppose -8 = 4*j - 5*g, 3*j + 0*g = -2*g + 17. Let y be q(j). Let h(s) = 11*s**2 - s + 1. Let f be h(1). Solve -2*a + f - y = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 29, 34.82, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3, 150, -1\/6, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*t - 4*t + 6*t)*(-1 - 1 + 4)*((5 + 0 - 3)*(-1 + 1 - t) + 3261*t - 2680*t + 7316*t) to g + s*t + p*t**2 and give p.\nAnswer: 31580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23 + -16. Let a = f + -36\/5. Put a, -5, 1\/2, -3 in descending order.\nAnswer: 1\/2, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (68\/8)\/((-4)\/(-56)). Suppose 7*b - g = -0*b. Calculate the lowest common multiple of 8 and 262\/12 - b\/(-102).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 26831 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 28608 = -29*i + 29492 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1536615.\nAnswer: 3, 5, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of u**4 - 3*u**3 + 167*u**2.\nAnswer: 24*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the first derivative of -2*o**5\/15 + o**4\/3 - 2*o**3\/9 - 40. Suppose d(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*0.121611\nAnswer: -0.121611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6 and -5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8.443 + -0.043. Let r = d - 8.4442. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(6480)*2 + sqrt(6480) + sqrt(45) - sqrt(45)))\/(sqrt(27)\/((2*sqrt(3) - sqrt(3)) + sqrt(3))*-2).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -26*n**2 + 18935*n + 4780275 with respect to n.\nAnswer: -52*n + 18935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -61 + 58. Sort -4, c, 3\/2, -2\/11 in descending order.\nAnswer: 3\/2, -2\/11, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*c - 34*c = -4*c - 1264 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*i + 16783 = 3990 - 7567. Calculate the least common multiple of 6 and i.\nAnswer: 6108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2424 - 2419. Suppose 1131 = c*v + 1116. Factor 0*b**2 - 1\/2 + 1\/4*b**v - 3\/4*b.\nAnswer: (b - 2)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(243)*-2*2*-2 + 4.\nAnswer: -216*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 465 = -5*k, 5*y + 4*k + 153 + 315 = 0. Let j be (y\/20)\/((-8)\/(-60)*-3). Solve -5*n + j = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4507*i**6*q**2 - 52*i**4*q**2 + 5*i**2*q**2 - 2*i**2*q + i**2 + i*q**2 + 109*i wrt i.\nAnswer: 540840*i**3*q**2 - 1248*i*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (12*f - 12*f + 28*f**4)*(2*f + 0*f - 5*f) + 2*f**5 - 3*f**2 + 3*f**2.\nAnswer: -82*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 + 14*y**2 - y - 4. What is the tens digit of l(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111010 + 1?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 1 = -3*l. Suppose -l*f = -10 + 1. What is the second derivative of 5*r - f*r - 5*r - 6*r**4 - 5*r wrt r?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4368 and 1028574?\nAnswer: 748801872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -107*y**3 - 2*y**2 + 5*y + 5. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 649 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (2*o + 0*o - 6*o)*(35*o**2 - 4*o**2 + 34*o**2) - 1643*o + 1643*o - 30*o**2 - o**3 as d + t*o**3 + s*o + f*o**2 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 + -10 - (-528 + 523)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 + 3031\/378)\/((-10)\/15)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 27\/7 or 3?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 + 10*n**2 - 7*n - 12. Let x be g(9). Suppose -2*t = x, -5*t = -3*v + 339 + 609. List the prime factors of v.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -9 + 24. Let q(a) = -3*a**3 + 12*a + 2*a**3 - u - 13*a. Calculate q(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13.4, -5, 9, -57, 0.4.\nAnswer: -57, -5, 0.4, 9, 13.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.8245402ng?\nAnswer: 0.0008245402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**13*n)\/n*(n*(n**(-22)*n*n*n)\/n)\/n)**20 assuming n is positive.\nAnswer: n**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -101472822?\nAnswer: 1\/50736411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 20858, 20856, 20854, 20852, 20850, 20848?\n\"Answer: -2*d + 20860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 316396 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 506 divide 3378992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -5, 36, -4, -2, -13 in increasing order.\nAnswer: -13, -5, -4, -2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 6:47 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (y + 0*y - 2*y)*(1 + 1 - 4) - 18 - 2 - 3*y - 2 as r + c*y and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 97 divide 2826924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in 0.4, -0.2, 0, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -6*s + 6. Suppose -1432*b + 60 = -1422*b. Calculate z(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -24, -63, -138, -255, -420?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y = -y - 12. Let d be (1\/y)\/(1\/(-6)). Let t be (-6)\/(-15)*(-7 + d). Put 2, t, -1 in increasing order.\nAnswer: t, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u**2 + 14*u + 4. Let h be o(-7). Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 55 - 58. Let c be -2*s\/24*-4 + 27. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + 4, 8*d = -5*i + 3*d + 15. Suppose s - i = 2. Let h be (-1)\/s - (-2)\/6. Solve -u = 3*k - 7, 2*k - 5*u = -1 - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*o + 60 = -7*o. Let q(b) = -b**3 + 4*b**2 + 5*b - 5. Let s be q(5). Sort o, 9, s in descending order.\nAnswer: 9, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2725096 and 6920?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -119 - -123. Suppose 0 = 4*x + 13 - 37. What is the remainder when a is divided by (-2 + x\/4)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4395420 divided by 4?\nAnswer: 1098855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 + 3*d. Let s(k) be the first derivative of -k**3\/3 + 2*k**2 - 3. Suppose -3*b + 2 = -4. Give b*s(w) - 3*n(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -8*s**4 - s**3 + 3*s**2 - 3*s + 3. Let p(h) = -27*h**4 - 3*h**3 + 10*h**2 - 10*h + 10. Let b(k) = -9*p(k) + 30*x(k). Suppose b(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 276118095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor m**2 - 5*m**2 + 115*m**5 + 115*m**5 - 3*m**3 - 229*m**5 + 2*m**4 + 4*m.\nAnswer: m*(m - 1)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 221858922.176 - -2.\nAnswer: 221858924.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7*-1*(-15)\/3. Let u = r + 4. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9, 5, -30, -2, 22, -3 in descending order.\nAnswer: 22, 9, 5, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 17*d**3 + d**2 - 3*d + 7. Let q be p(2). Let w = q - -2. Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 20 + 7 + 67 + -34.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -4*m**3 - 22*m**2 - 8*m - 12. What is the tens digit of c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of 2*x**3 + 0*x + 56 + 3*x**2 - 1\/2*x**4. Let m(z) = -4*z**3 + 13*z**2 + 13*z. Calculate 13*a(j) - 6*m(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -94*b + 94. Let x(t) = -t + 2. Let z(d) = i(d) - 47*x(d). Let v(c) = 7*c. Give z(v(u)).\nAnswer: -329*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 2*u + 2, -g - 4 = -2. Suppose -3*b + 2*n - 13 = u, 0*n - 5*n = 4*b + 2. Let o be -11 - -5 - (b*1 - -2). Is o != 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 38112 or 37660?\nAnswer: 38112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ca + 4?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*i + 2*p + 10, p = 3*i - 7*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -468 (base 11) to base 10.\nAnswer: -558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 182154 and 143122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 + 10. Suppose w*u + u = 6. Suppose 222 = u*g - 0*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*p - 223 - 64 = 77 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/132*-6)\/(598\/506).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -146*q + 7982 = 2895 - 8491 for q.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 times 8.7521572\nAnswer: 35.0086288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -100*v + 685408 + 585382 = -25610. List the prime factors of v.\nAnswer: 2, 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12272 - 12272.00010522. Round s to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1487 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -2 != -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 35 = -x, 4*x - 4*t - t = 175. Suppose 4*v - z - 37 = 0, 5*v - x = -4*z - 9. Solve c = -2*o + 2 + v, 4*c = 5*o - 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i - 14. Let k(c) = 4. Let b(q) = -4*g(q) - 14*k(q). Let j(v) = 5*v. Calculate j(b(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -151054794.\nAnswer: -604219176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -13*p**2 + 5*p - 3. Suppose 443*o - 337*o = 742. Let u(x) = -7*x**2 + 7*x + 2. Let q(i) = -i - 1. Let d(l) = 4*q(l) + u(l). What is o*d(m) - 4*k(m)?\nAnswer: 3*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -164095, -162822, -159365, -152632, -141531, -124970, -101857, -71100?\n\"Answer: 182*a**3 - a - 164276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 553 + -109. Does 10 divide f\/22 + 10\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g. Let r(x) = 56*x + 307. Let l(y) = 193*y + 921. Let c(u) = 2*l(u) - 7*r(u). Give c(m(k)).\nAnswer: -12*k - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 38*i - 75*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -4*h - 3. Suppose 44 = -4*c + 128. Let p = c - 18. Let u(k) = -5*k - 4. Let z(b) = p*u(b) - 4*x(b). Let v(g) = 2*g**2. What is v(z(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (66\/(-44))\/(3\/(-10)). Solve 3*z - 2*z + 5*f - s = 0, 5 = -2*z + 5*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**2 + p + 2. Suppose -2*u = -4*u + 6. Let k(n) = -n + u - 1 + 8 - 3. Let v be k(7). Give s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 6*v = -182. What is the greatest common factor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1624632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -222*h - 7777. Determine r(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/884 and -113\/170?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*m**2 + 2 - 9*m**2 - 2 + 29*m**2 - 19*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 3*b + 22, -3 + 19 = -4*b. Let h = q + 0. Suppose h*u + c - 18 = 0, 5*u - 41 - 11 = c. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 a when two letters picked without replacement from {a: 1, b: 1, f: 1, v: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(76))**2 + ((sqrt(684) - (sqrt(684) + 2)) + sqrt(684))**2 + -5*((2*(1 + sqrt(19)))**2 - (sqrt(19) - sqrt(57)\/sqrt(3)*-1)).\nAnswer: -54*sqrt(19) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7160712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2852*q + q**3 + 2886*q - 8847*q + 3109*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.0425 times 249\nAnswer: 10.5825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18001 - -18006. What is the smallest value in -0.5, h, -2\/3, 2\/3, 143\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6*(-30)\/630)\/(8\/49)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 99126 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the second derivative of -v**6\/20 - 27*v**5\/10 - 24*v**4 - 92*v**3 - 180*v**2 + 184*v. Suppose w(m) = 0. Calculate m.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 750 - 749.96919. Let q = j - 0.026. What is q rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = l - 2*k, 3 = 3*l - 2*k + 130. Let f = l - -31. Let h be (-11913)\/(-55) + 6\/f. What is the highest common factor of h and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -4, -3 in descending order.\nAnswer: 8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 - 4. Suppose k*l - 28 = 2. Is 24 a factor of (1*-1)\/(l\/(-426))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19 - 18.96. Let m = w + -0.44. Which is the nearest to -2\/3? (a) -0.1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/(-12)*(-577)\/15002.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -i**7\/42 + i**6\/4 - i**5 + 25*i**4\/12 - 5*i**3\/2 + 2*i**2 + 12. Suppose w(l) = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 3. Let x(c) = 4*c**2 - 6*c - 2. Let y(h) = -h**3 - 18*h**2 + h + 12. Let z be y(-18). Let u(r) = r**2 - r. Determine d*x(a) + z*u(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23077.\nAnswer: 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, k: 4, i: 3, s: 2, a: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -b**5 - 2536011*b**4 + 219*b**2 - 5*b - 3148 wrt b.\nAnswer: -60*b**2 - 60864264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i. Let s(c) = -c**2 - 6. Give h(s(r)).\nAnswer: 3*r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -300.5 + 300. What is the third smallest value in 18\/7, 2\/11, c, -0.08?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 536 is divided by 130.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 63484 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/(-36)*(0\/1 - -4). Let v = -2.97 + 3. What is the second biggest value in 1\/4, j, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q - 2. Let n be g(4). Let j be (1 - 6\/n)*-3. Solve 3*y = -3*u + j, -3*u = y - 2 - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*w - 9 + 3. Let b(q) = -q**2 - q + 4. Let y(t) = -t + 1. Give w*b(m) - 3*y(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 35 + 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n - 6 + 0*n**3 + n**2 - n**3 - 1. Let z be (20\/(-30))\/(4\/(-6))*10. Suppose z*h = 5*h. Give g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/70)\/(1\/(-10)*-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 190317?\nAnswer: 3, 63439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -24860481, -24860480, -24860479, -24860478, -24860477?\n\"Answer: h - 24860482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -2*f - 3*f + 4*h, 2*h = -4*f - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 39265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n. Let r(y) be the third derivative of 4*y**5\/15 - 12*y**2. What is r(i(d))?\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -867 + 434 + 433 + 20*h**2 - 19*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 329*y**4 - 329*y**4 + 22*y**5 + (-1 - 2*y**3 + 1)*(-5 + 2 + 1)*(5*y**2 - 25*y + 25*y).\nAnswer: 42*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90215759.\nAnswer: 90215759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 4*l - 760, 4*l - 6*l - 3890 = -5*t. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 12 by -621064.\nAnswer: -3\/155266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/8 and 121\/290?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bwrbbwttwwwbt. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1628998 and 1150?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -996*q - 13083 + 35991 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29244 + -14199. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 5*a - 7821, -2*h = 2*a - 4244 + 1118. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4*i**2 - 3*i + 75 wrt i?\nAnswer: 8*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 4*n - 10. Let p(i) = 5*i - 11. Determine -3*c(u) + 2*p(u).\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1335, 2673, 4009, 5343, 6675, 8005?\n\"Answer: -t**2 + 1341*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 45712804 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -224340111442 - 4?\nAnswer: -224340112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 7*c - 6. Let q = -6 + 6. Suppose -5*o + h + 33 = q, -2*h - 12 = -3*o + 5. Let g(y) = 8*y - 7. Calculate o*n(u) - 6*g(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7.3 + -5.6. Let y = q + 13. Let t be (-16)\/(-7) + (1 - 3). Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of y**3\/3 + 3*y**2 + 10*y - 58. Let g(n) = 3*n. Let t be g(3). Is w(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -19*m. Suppose 10*i + 20 = -0*i. Sort -5, m, i, -3 in ascending order.\nAnswer: -5, -3, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1381043, -2762035, -4143027?\n\"Answer: -1380992*t - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38, 535, 2100, 5155, 10198, 17727?\nAnswer: 28240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-20)\/(-7) - 0) + -3. Let g = -3.3 + 3. Let t = g - -0.4. Which is the nearest to -0.1? (a) d (b) t (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2701 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express (5*q - 3*q - q)*(-4*q - 10*q + 8*q - 1 - 2*q**2) as v*q + x + f*q**2 + t*q**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -5*i**5 - 20*i**4 + 70*i**2 + 85*i + 30 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1224, -0.022 in increasing order.\nAnswer: -0.4, -0.022, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (3 - 3 - (8 + -10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a + 553*a**2 - 1589*a**2 - 1429*a**2 - 2220*a**2 + 443*a**2 in the form w*a + t + d*a**2 and give d.\nAnswer: -4242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -3) + -17 + (-7 - -15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-238 + 238 - 80*j + (-j - 1 + 1)*(2 + 2 - 5))*(j**2 + 2*j**2 - j**2).\nAnswer: -158*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3 * -261\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 3 + l**2 + 3*l - 3*l. Suppose -2*b - 5 = -q, 5*b - 15 = b - 3*q. Determine j(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30 (base 6) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 801475179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9566514*t**4 + 6999*t**2 - 3*t - 428.\nAnswer: -229596336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/50 and -37\/234695?\nAnswer: 2346950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of 215*p**4\/12 + 133*p - 75. Let m(v) be the first derivative of y(v). Let d(n) = 2*n**2. What is m(d(a))?\nAnswer: 860*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the third derivative of -q**6\/24 - q**5\/3 - 5*q**4\/8 - 6*q**2 + 5*q. Solve k(c) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/(3 + 52\/(-16)). Let f = -54 - -59. Calculate the lowest common multiple of f and (-90)\/y + 3\/2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8967129 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:58 AM and 3:31 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 4*l - 26 = -4, 52 = -5*b + l. Let z be (-24)\/(-35) - (-4)\/b. Which is smaller: 0.2 or z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (o + 3 - 3)*(-1 - 1 + 3)*(-2*o + 17 - 17) as b*o**2 + j + z*o and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 291*r*x**3*y - 6*r*x**2*y + 2*r*x*y + 194824*x**3*y + 1551*x**2 - 3*y + 5 wrt x?\nAnswer: 1746*r*y + 1168944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -323749 = -95*q + 74681. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -679*m + 974*m + 159*m**3 - m**2 - 161*m**3 - 2 as t*m + b*m**2 + a*m**3 + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3 - (2 - 6))\/((11 - -2) + 0)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 9:58 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1181.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -23*l + 2*l + 3*l in the form d + i*l and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/46*(-38)\/3040*8?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 26418861 and 6?\nAnswer: 52837722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 + 19. Let s = 6 - o. What is the remainder when 37 is divided by ((-12)\/15)\/(s\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/33 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -104*t - 5*t - 34*t.\nAnswer: -143*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*n**2 - 3*n**2 + 0*n**2)*(-15 - 18 + 0) + 0*n**2 - n**2 + 0*n**2 to the form m + w*n + a*n**2 and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 32 - 11220120202122?\nAnswer: -11220120202030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*x + 5*x + 3*x + (-4 + 4 + 2)*(x - 4*x + x) - 2*x + 2 - 2)*(19 - 20 - 53) to the form m + h*x and give h.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v - 4. Let l be g(0). Let p(c) = -c**3 - 4*c**2 - 3*c. Let a be p(l). Suppose 5*q - 3 = -2*t + 27, 2*q + t - a = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -4*h + 52. Calculate w(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4664?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 360 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*b + 3*r - 23, -3*b + 5*r + 23 = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g - 19. Let l be f(0). Let h = l - -22. Suppose -2*n - 2 = h*r - 1, -15 = 3*n. Solve 5*x + r = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 12.9 * 551.2\nAnswer: 7110.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -29 divided by -19\nAnswer: 29\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - 2\/1 - 16. Let r be 1 + (-2)\/p*-11. Suppose -5 = 88*w - 791 - 6. Is r greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -2\/7*f**3 + 0 + 0*f**2 - 11*f + 1\/42*f**4 + 1\/70*f**5. Find h, given that z(h) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1224 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 - 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 40 (b) 2\/9 (c) -0.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49667*v = -49766*v + 34452. Let i(z) = -z**3 - 3*z - 3. Calculate the remainder when v is divided by i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3016 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7689 and 42306.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 0 - (-7 - (3 + -9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -56*y + 42 + 43 + 27 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 102*a + 8648 = -2330 + 3532 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -10*g + 2. Let r be n(-2). Let u be r\/(-55) - (-16898)\/(-5). Round u to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -152248322446 from 226.7.\nAnswer: 152248322672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 260*q + 265*q - 523*q - 22 + 33 - 11.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**2 + 2*w + 1. Suppose 3*g - 5 = -4*h, 4*h - 2*g - 3 = -7*g. Let v(n) = n - 3 + 7 - 3 + 0. What is h*v(p) - x(p)?\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -61 + 63. Suppose m = 6*y - 10. Suppose i - 17 = -q, q + 73 = 7*i - y*i. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((270\/(-15))\/6)\/(1365\/(-52)))\/((-10)\/(-25))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -3*y**3 + y + 1. Let p be (-2)\/6*23\/(460\/(-60)). What is d(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0364980074 to five dps.\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 130607 and 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 3*s**2 - 6. Let r(g) = 4*g**2 + g - 7. Let h(l) = 5*f(l) - 4*r(l). Let a = -8 + 5. What is the units digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - g - 78 = 0, -5*o + 5*g - 6 + 201 = 0. Suppose 3*z - 93 = -o. Solve 15*u - z*u = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 1.4, -0.06 in descending order.\nAnswer: 9, 1.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -10*i**5 - 42*i**4 - 66*i**3 - 46*i**2 - 12*i = 0.\nAnswer: -6\/5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 9*p**3 + 3*p - 56*p**2 - 2 + 50*p**2 - 2*p**3. Let d = -13 + 7. Let a(y) = 13*y**3 - 11*y**2 + 6*y - 4. Let v(z) = d*a(z) + 11*m(z). Determine v(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 9586\/13, 4\/7, -4?\nAnswer: 9586\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13 + -17. Suppose -25 - 20 = 5*a. Let c = 11 + a. What is the nearest to -0.1 in c, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-216)\/(-54))\/(8\/(-128)*2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*f**2 + 2*f**2 + 2*f**2)*(3*f + 0*f - 4*f) + 409*f**3 + 11 - 398*f**3 - 4.\nAnswer: 12*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jxojjjooxj. What is prob of sequence ox?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000993319 rounded to 7 dps?\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the second derivative of 507*c**5\/10 + 197*c**4\/4 + c**3\/6 + 85*c. What is the third derivative of q(o) wrt o?\nAnswer: 6084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 4636044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 6 + 3)*(3*z - z + z) + z + 5*z - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 - 3*g + 3. Let z be b(-3). Let j(d) = 3*d**3 + 3*d**2 + 4. Let q be j(z). Suppose 169 = 3*s - 5*w, 55 + q = 3*s - 4*w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -45*o**2 + 3*o - 14. Let f(i) = 15*i**2 - 2*i + 5. Determine -7*f(k) - 2*z(k).\nAnswer: -15*k**2 + 8*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-12 + 24 - 10 + (4 - 2 - 1)*(-2 - 4 + 3))*((-2 + 0 + 0)*(-3*u**3 + 0*u**2 + 0*u**2) + u**3 + u**3 - 3*u**3) to l + x*u**2 + z*u + s*u**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.19 - -0.19. Which is the smallest value? (a) 23 (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 AM and 5:06 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153 + 170 + 40*x + 170 - 493.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 17987841 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 63 + 943995?\nAnswer: 943a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 64859.17g?\nAnswer: 64859170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.6 - -3.6. Let c = v + -3.3. What is the third smallest value in -2, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 20 + 0 = 0. Suppose -5*p - 5 = -k. Let b = p - -6. Calculate the lowest common multiple of b and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -8. Let b(l) = -l**2 + 6*l. Calculate b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 44 - 22. Suppose 0 = -4*t - 0*t - 280. Let r = 134 + t. What is the remainder when r is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2651390316 rounded to 5 dps?\nAnswer: -0.26514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a3e4e6 - 2?\nAnswer: a3e4e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(110) - (sqrt(110) + (sqrt(110) - sqrt(110)*1)*-4)) + -4*(1*sqrt(110) + sqrt(110) - sqrt(110)))\/(3*-1*sqrt(810)*3).\nAnswer: 8*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 115226.9 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**2 + 3797875*x - 7595770.\nAnswer: 5*(x - 2)*(x + 759577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 0 + sqrt(1377))**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m + 5. Let f be a(3). What is the highest common divisor of f and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 9*m**5\/2 + 13*m**4\/12 + 3*m**2\/2 - 99*m. What is the third derivative of q(l) wrt l?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 71287\/36 + -1982. Let r = 2\/258747 - -4743671\/3104964. What is the common denominator of i and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 50.26991 to 0 decimal places.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from rrxdxzzzrzxdxrz?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 590*i - 30*i**2 + 17*i**5 - 15*i**5 + 50*i**5 + 2*i**5 + 32*i**2 wrt i.\nAnswer: 1080*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -270 and -15167\/56 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + (477360\/8034)\/30.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0.801 (c) 1\/2 (d) -1\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 30.48 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8*(300\/450)\/(304\/(-6))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -10*q. Let x(i) = 59 + 2*i - 59. Give x(d(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-34)\/(-120) - 1\/4. Let l = 2457 - 2456. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) be the second derivative of -5*c**8\/672 + c**7\/28 - c**5\/6 + 29*c**2 - 43*c. Let m(d) be the first derivative of t(d). Factor m(l).\nAnswer: -5*l**2*(l - 2)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.3 - 0.2. Let m = -7 + 10. Let f = 440.4 - 440. Which is the nearest to z? (a) -5 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 19 = -j, 0 = -f + 5*j + 2 - 3. Suppose 0 = -4*o - 5*c + 921, 5*o = c + f*c + 1185. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 3*d - 2*d)*(-20*d + 36*d + 82*d).\nAnswer: -392*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 2)*(5 + 3 + 1)*(-3*s + 3*s - 2*s).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -8\/11*m**3 + 2\/11*m**4 + 0 + 20\/11*m - 14\/11*m**2 = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.2 - 1.2. Which is the smallest value? (a) -4 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*b**2 + 0 + 0 - 1)*(-3 - b - 8 + 5) as m*b + z*b**3 + d + n*b**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 633*g**2 - 1. Let o(a) = -16*a. Determine o(z(v)).\nAnswer: -10128*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3480 is divided by 1154?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1000101101101010101111 (base 2) to base 16\nAnswer: -22daaf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -22*t**2 - 1 - 2 - 5 - 8 + t wrt t?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -312*h + 310*h = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1894 = 3*s - s. Suppose -5*p + s = -d - 2*d, 0 = 4*p - d - 752. Let r = -77 + p. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-c - c + c)*(-3 + 1 - 1) + (1 + 0 + 2)*(c - 2*c + 0*c) - c + c + 2*c to the form h + p*c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**0)**(1\/9)\/(k**(-6)*k*k*k\/k**7) assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36 - -228. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*b**3 - 37*b**3 + 20 + 1 - 22.\nAnswer: -70*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c**3 + 34*c**2 + 65*c + 30. What is x(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of p**6\/20 + 5*p**3\/3 - 2*p**2. Let m(g) = 6*g**3 + 11. Let s(a) = -3*m(a) + 4*t(a). Differentiate s(z) wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iliivvaviiiqvqallii. Give prob of sequence vai.\nAnswer: 32\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -12*f + 12*f + 12*f + (-1 - 1 - 1)*(-3*f + 4*f + 0*f) - 2 + 2*f + 2 + (6*f + 2*f - 2*f)*(-4 - 2 + 4).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let p = -133\/12 + 737\/60. Which is the closest to p? (a) 1\/2 (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 3:11 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 23*d + 207. Let q be m(-9). Put -5, q, -1, -15 in increasing order.\nAnswer: -15, -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 310*v = 303*v + 126. Suppose 0 = q + v - 27. What is the greatest common factor of q and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -135 (b) -2\/7 (c) 0.231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l**13*l)\/l**(11\/4))\/(l\/(l**(-10)\/l)*l*l\/(l\/(l*l**7))) assuming l is positive.\nAnswer: l**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -36*y - 2. Let s be l(-2). Let g = 124 - s. Calculate the lowest common multiple of g and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, s: 2, a: 7}. Give prob of sequence aav.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 252252367 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.3 + -76091942\nAnswer: -76091942.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/55141 and 27\/385987?\nAnswer: 385987","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 188 by -188.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 2, r: 8, g: 4, o: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 4*o - 63624, b = 25*o - 24*o + 15916. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 1 + -11 - (-115 - -114).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (2 - (-1 - 0)) + (-7303 - -7275).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -21*h + 1556. Let s be w(74). Sort 27, 2\/7, 0.1, s, -2 in descending order.\nAnswer: 27, s, 2\/7, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1103064889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/12*(-2167)\/1. Let h = a - 360. Calculate the common denominator of h and -19\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 8*i + 84 = 0. Suppose -6*o = -12*o + i. Is 5 + 0\/o - -792 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 - 2*y. Let a(z) = z + 2. Let h be a(-4). Let s be t(h). Let p = 1 - s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + 360738?\nAnswer: 360741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -1. Let l be 7\/(-6)*-2 + (-5)\/15. What is the closest to 1\/2 in l, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*d - 2*d + 54. Let h(l) = -l**2 - 9*l - 20. Let p be h(-12). What is the remainder when ((-1 - p) + (-4 - -2))\/1 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 7, i: 6, x: 2, u: 1, y: 3}. Give prob of picking 1 u, 2 x, and 1 y.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y**2. Let x be 1 + (-3)\/(-1) + -2. Let w(r) = -r**x + 3*r**2 - 2*r**2 + r**2. Calculate w(b(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 86 + -81. Let f(x) = 3*x + 7 - m*x + x + x**2. Determine f(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from rjagagaggllj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)?\nAnswer: -i**2 + 74*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8351*t + 16644*t - 8316*t.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -37, -36, -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j**2 - 10 - 4 + 5)*(6 - 7 + 23)*(0 - 6 + 2) to h*j**2 + n + k*j and give h.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16836)\/1952)\/(3\/2)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -31*m**2. Let w(u) be the third derivative of u**5\/5 - 6*u**2 + 16*u. Calculate g(w(t)).\nAnswer: -4464*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -1093*n + 2992. Give q(3).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + s = -22, 12*s + 33 = 3*a + 8*s. Let z(f) = -3*f**2 + 10*f - 12. Let t(k) = 4*k**2 - 9*k + 13. Let d(j) = 2*t(j) + 3*z(j). Determine d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/10 and -77\/11490?\nAnswer: 11490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6676371.\nAnswer: 3, 13, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54670536*3.\nAnswer: 164011608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -56 divided by -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 48710 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4182.003553 + 4182. Round n to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(117)*-1)\/sqrt(9) + (0 + sqrt(1872) - sqrt(13)))**2.\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 11 = -14. Suppose -3*h - 2 = -4*h + k*q, -2*q = 4*h - 8. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-10) - 180\/(-50). Let v be (-26)\/8 - 2\/(-8). Let y = v - -4. Solve 3 - y = -o*k + 3*i, 5*i = -5*k - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 42 - 23. Suppose o - 6*f + 2*f - 17 = 0, 0 = -3*o + 4*f + p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18) - sqrt(90)\/sqrt(5) - sqrt(1176)\/sqrt(12).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 9:53 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 0, 49, 1, -10368 in ascending order.\nAnswer: -10368, -6, 0, 1, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -286\/5*l**2 + 16\/5 + 564\/5*l.\nAnswer: -2*(l - 2)*(143*l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 231 (b) 5 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 40\/(-35)*(-7)\/4*(-900)\/150*-4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the first derivative of 24*l**5\/5 - 23*l**2\/2 - 21. Find the second derivative of x(u) wrt u.\nAnswer: 288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*k + 18*k + 45 = 0. Suppose 3*o - 6 = -3*v, 0 = -5*v + k*o - 10 + 52. Solve 3 = -3*p, 5*w + 2 - v = -p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yccy when four letters picked without replacement from {c: 1, e: 3, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-24)\/(-14))\/(4*(-2)\/28). Let i(f) = 5*f + 4. Let l(h) = 11*h + 8. Calculate t*l(q) + 13*i(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2030 and 1305.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -119 - 6 - (-3474 - -3413)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 + 20*a**2 - 18*a + 6. Determine k(19).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.6 + -0.1. Let f = 10712\/21 + -510. What is the nearest to -2\/3 in f, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -222617386*z - 222617385*z + 445234771*z - 6*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13428.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 4581, 20482, 46985, 84090, 131797?\n\"Answer: 5301*s**2 - 2*s - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -2*z**2 - z - 1. Let j(m) = 7*m**2 + 4*m + 3. Let l(b) = -6*j(b) - 22*n(b). Let w be l(-5). Let f = w - 26. Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 61669320.\nAnswer: 2, 3, 5, 653, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Is (-2583925)\/(-125) - (-4)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i + 0*i - 4*i)*(-51*i**3 - 21*i**3 + 19*i**3 + (2*i - 2*i + i**2)*(4*i - 4*i + 2*i)).\nAnswer: 357*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 91536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -7*x**3 + 265*x**2 + 31*x + 108. Calculate j(38).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/5)\/(6\/(-140)). Let p be (-3)\/(4\/q*-3). Let w = p - 9. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(363) + (sqrt(363) - (sqrt(363) - sqrt(363)*-1)*2) + sqrt(363)) + -6*(sqrt(363) + 4*(-2 + sqrt(363)) + sqrt(363))**2 + -3.\nAnswer: -78795 + 6303*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 12742, 12757, 12786, 12835, 12910, 13017, 13162, 13351?\n\"Answer: c**3 + c**2 + 5*c + 12735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the third derivative of 2*x**7\/105 + x**6\/10 + x**5\/5 + x**4\/6 + 8*x**2. Factor k(m).\nAnswer: 4*m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -15 (b) -3\/8 (c) 0.3 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and -0.062530939.\nAnswer: 0.0312654695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 7 + 8 + 2 + 3 + 385*i**2.\nAnswer: 385*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1320 and 3630.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 3570.1596 minutes?\nAnswer: 0.3541825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6030*f + 5961*f + 6969 for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127031.\nAnswer: 127031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 + -3. Let z = t + 10. Calculate the highest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 3*k = -5*s - 30, -26 = -4*k + 3*s. Let h be 4\/(-18) + 58\/18. Suppose 0 = -2*a + 10 - 2. Solve a*c = -h*p - 20, c = -k*p + 3*p - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 59\/5 of a decade?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 7*m**2 + 2*m - 4. Suppose f = 3*h - 4*f + 14, 4*h + 3*f + 9 = 0. Is l(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, 54\/253, -1\/6 in increasing order.\nAnswer: -1\/6, 0, 54\/253, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 128885779 to the nearest integer?\nAnswer: 11353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -22\/3 in -12, 0.41, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes after 3:47 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -10 + 89688.65720145.\nAnswer: 89678.65720145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -66 - -126. Suppose 4*f - i - 207 = 4*i, f = 4*i + p. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -4*w + 19. What is s(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*r**3 - 4840*r**2 - 38480*r - 76800.\nAnswer: -5*(r + 4)**2*(r + 960)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18608 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:36 AM and 1:04 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -17.36 times -0.0343?\nAnswer: 0.595448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:10 AM and 4:19 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*m - 5*m + 4*m + (-2 + 2 + m)*(-3 - 1 + 2))*(4*m - 4*m + 2*m**2).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 49036, 392594, 1325100, 3141028, 6134852?\n\"Answer: 49079*x**3 + 5*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 2*c. Let t(o) be the second derivative of 44*o**4\/3 - o**3\/2 - 5228*o. What is t(q(y))?\nAnswer: 704*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*v - 6 = -34 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 + 4. Let k = 3.6 - 0.6. Let h = -4 + k. What is the closest to h in j, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1017 (b) -1 (c) 1\/3 (d) -3 (e) 0.4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 42498 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/3*(-57)\/19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 525 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 546 and 63?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is u in -u**2\/5 - 8963*u\/5 - 5376 = 0?\nAnswer: -8960, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -6 + 28 - 6*h**2 + 0 + 2 + 36*h - 9*h**3.\nAnswer: -3*(h - 2)*(h + 2)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.924 + -0.076. What is the fourth smallest value in x, 1\/2, 0.2, -0.16?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 5, h: 3, e: 2, y: 2}. Give prob of sequence ohe.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0.127, 255, 1?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, 48, 138, 288, 510, 816?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 124143 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 3*f + 41348858 - 41348858. Let g(n) be the first derivative of -n**5\/30 - n**2\/2 + 1. Let b(l) be the second derivative of g(l). Determine b(i(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.3 and -8.2?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -14, -53, -4, 10, 2, -66 in ascending order.\nAnswer: -66, -53, -14, -4, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36)\/96 + (-249)\/(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 - 11. Suppose -n*u - 2*u = -10. Suppose 5*q = -2*h - u*h + 29, -4*q = 5*h - 34. Which is the second biggest value? (a) -1\/4 (b) h (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is q in -3*q**2 + 666576*q - 37026963648 = 0?\nAnswer: 111096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 13.21 to one dp.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 85542 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 19 = -5*o + 5*a, 26*o - 583 = -268*o + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -2\/7 (b) 3 (c) -0.28 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w = 4*w - 120. Let z be (-1 - -2)*46\/1. Let f = w + z. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of -y**7\/735 + 17*y**6\/420 + 2*y**5\/7 + y**4\/21 - 80*y**3\/21 - 1229*y**2 - 2. Suppose p(i) = 0. What is i?\nAnswer: -2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2 + c + 2 + 4. Let t be b(-6). Solve s = -t + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = 5*q. Suppose 5*x = 3*m + m - 3, -2*m + 5*x = 1. Let d(p) = -30*p. Let w(n) = -n. Let j(g) = m*d(g) - 66*w(g). What is -5*a(i) + 4*j(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 - 7792*m - 321334. Calculate a(-41).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1*(-1)\/((-1)\/(-290)). What is n rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + (-1209)\/52 + (-4)\/((-48)\/(-9)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(3\/4)\/a)**(-42)*(a**(-1\/2)*a)**(1\/27) assuming a is positive.\nAnswer: a**(284\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.2 + 0.8. Let u = b - 2. Sort u, -1, 0.5 in descending order.\nAnswer: u, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -u**2\/4 + 251588*u + 3019065\/4 = 0?\nAnswer: -3, 1006355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*w = -49*w - 74. Let l = 32 + w. Let p = -8 + 6. Which is greater: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2570 - 2570 + 85*r)*(1 - 12 - 50*r + 9).\nAnswer: -4250*r**2 - 170*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 3*f**3 + 163*f**2 + 796*f + 607. Give o(-49).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-4)*(-100)\/(-750)*-60?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*o**3 + 13*o**3 - 4*o**3 + 0*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -24, -14*x + 10*x + 12*m - 56 = 0. Let z = 19 + -15. Calculate the highest common factor of x and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -1*-6*((1*sqrt(170))\/sqrt(5))\/sqrt(2))*-2.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -5*l + 64, -2*l + r - 8 + 8 = -29 - 1 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = n - 133, n + 3*r - 154 = r. Is 37 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -79?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 52245239 to the nearest integer?\nAnswer: 7228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 3*a + 0*a)*(-2*a**3 + 7*a**3 + 2 - 7*a**3) - a**4 + 0*a**4 - a**4.\nAnswer: -4*a**4 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 9, -4 in ascending order.\nAnswer: -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -d**5 + 1508*d**3 - 42414*d wrt d.\nAnswer: -20*d**3 + 9048*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1606895 to the power of 1\/2, to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 239869 is divided by 415.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(5\/3)*i**(2\/51)\/i*(i\/(i*i\/i**(-8)*i))\/i**(1\/8))**(-12) assuming i is positive.\nAnswer: i**(3843\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4039289075?\nAnswer: 5, 37, 227, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 3.23440382?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -294 + -3?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 3*f**3 - 57*f**2 + 12*f - 71. Let q(j) = j**3 - 19*j**2 + 4*j - 24. Let h(b) = 6*o(b) - 17*q(b). What is the remainder when h(19) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + u + 0*u)*(-6 + 5 + 3) - 37*u - 30*u - 41*u.\nAnswer: -110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 17, 2\/11, -3\/280, 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 107 - 532\/5. Let n be ((-1 + 4)*-30)\/1. Let p be 34\/n + 4\/(-18). What is the biggest value in k, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-1 - (8 - 2)) - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000232008 rounded to seven decimal places?\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*i + 18 = 12*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -w - 1. Suppose -4*m + 27 = w. Is 1342\/m + 2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 2*a - 12. Let c(s) be the second derivative of 17*s**3\/6 - 72*s**2 - 45*s. Let q be c(9). Give r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 87, 81, 61, 21, -45, -143, -279?\n\"Answer: -z**3 - z**2 + 4*z + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1786 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -245d + d?\nAnswer: -2450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 849\/(-283)*48\/(-120).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -17, -59, -101, -143?\n\"Answer: -42*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 291843488 divided by -17167264?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 15.5451 centimeters?\nAnswer: 155451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -323, -275, -209, -119, 1?\n\"Answer: k**3 + 3*k**2 + 32*k - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*w + 4*w + 14 - 571 - 57*w - 45*w.\nAnswer: -85*w - 557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -54, -68, -92, -126, -170, -224, -288?\n\"Answer: -5*p**2 + p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and -10.6?\nAnswer: -31.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**2 - 11*t - 7. Let j be i(12). Suppose -5*f + j = -0*f. Do f and 10\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/17 (b) -122 (c) -22\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8369225.\nAnswer: 5, 31, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:29 PM and 1:10 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h - 17 - 7. Let s be h\/8 + 28\/16. Suppose -o - 4*r - 13 = 0, -7*o + r - 18 = -3*o. What is the smallest value in 2\/7, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 2*j + 186, -r + j = -94 - 89. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 15.98012 + -2\nAnswer: 13.98012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8022*b**5 - 185*b**2 + 5*b.\nAnswer: -481320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 931876264.\nAnswer: 2, 11, 173, 61211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*d - 10 = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + 3b8336a?\nAnswer: 3b83371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -z**3 - 3*z**2 + 13. Let d(v) = -3*v**3 - 115954*v**2 + 1 + 115953*v**2 + 2*v**3 - v. What is -2*d(m) + n(m)?\nAnswer: m**3 - m**2 + 2*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 10094927, 10094876, 10094825, 10094774, 10094723?\n\"Answer: -51*s + 10094978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 0, -0.03, -74, 3\/209, 4, 5?\nAnswer: 3\/209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -8035*t**2 + 4847*t - 25. Let b(q) = 12049*q**2 - 7271*q + 40. Let p(f) = 5*b(f) + 8*w(f). Find the second derivative of p(k) wrt k.\nAnswer: -8070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53*l - 52*l + 2*f = 10, 25 = 2*l + 5*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 21243821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-8) - (-63)\/12. Let l(g) = 4 + n*g - 38*g - 37*g + 17*g. Is l(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v**3 + 7*v**2 + 8*v + 4. Suppose 0*c = c - 8. Let z be j(c). Suppose -z*r = -30 - 94. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 56 - 48. Let t be ((-36)\/(-21))\/(4\/14). Suppose q*l - 2*l + t = 0. What is the nearest to -1\/4 in l, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -353224 or -352863?\nAnswer: -352863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -a6254 (base 11) to base 14\nAnswer: -4053b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -1\/2, -3, 5, 2\/15, 14266, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.0918 + -0.3918. What is the third smallest value in z, -65, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 24 = -2*x - 4*c, 3*x + 4 = 4*c. What is the tens digit of 414\/x*100\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 43 in 0.9, 0, -8, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 207459250 to the power of 1\/2, to the nearest integer?\nAnswer: 14403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 19469 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 38 = -m, -3*b + 4*m + 11 = -22. Let n(d) = -2*d + 4. Let v be n(-3). Let g = v - b. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-6) - (-282)\/18 - (-56)\/(-8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 - 2122201211?\nAnswer: -2122202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*g*g**(-2\/31)*g)\/g)\/(g\/(g**(6\/7)*g)))**(16\/7) assuming g is positive.\nAnswer: g**(9696\/1519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/11 + 52\/(-44). Let b be n\/((0 + 3)\/(-48)) - 0. Suppose 138*h + b = 142*h. Calculate the lowest common multiple of h and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -3, 10, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 70\/21*(-12)\/(-10). Suppose 0 = -d*i + 65 - 17. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 2*k. Let r(v) = 2*v**2 + 3224. Determine r(a(x)).\nAnswer: 8*x**2 + 3224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.5*-1225135.8\nAnswer: 612567.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of 0*h**4 + 0*h**3 + 0*h - 172*h**2 + 0 - 1\/30*h**5. Let c(p) = -93*p**2. Determine c(x(w)).\nAnswer: -372*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 261 (b) 127\/4 (c) -23.5 (d) 4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2747*o**2 - 2978*o**2 + 738*o**2 + 1358*o**2.\nAnswer: 1865*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14) - (sqrt(1400) + (sqrt(1400) - sqrt(1400)*3)))\/(sqrt(14)\/(sqrt(35)\/sqrt(5))))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 5*g - 427 = 0, 4*i - 5*g - 347 - 224 = 0. Calculate the greatest common divisor of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 24 + 31056?\nAnswer: 31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1439 divided by 7620.\nAnswer: -1439\/7620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12616)\/(-4731)*(-6)\/1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 34 and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4329320 divided by 216466.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*u - 0*u + 5*r - 32, u + r - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -n - 6*n + 2*n + (2 - 2 + 2)*(33*n + n - 8*n).\nAnswer: 47*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - 4 = 3*x + 5*i, -2*x + 4 = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes after 7:56 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 22 + -25.4. Let u = -4.4 - f. Let h be (5\/2)\/(2\/4). What is the nearest to u in -4, h, 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 7*z + 398. What is i(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -179, -2596, -9475, -23048, -45547, -79204, -126251, -188920?\nAnswer: -269443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -104 - -109. Let y = 3.4 - 0.4. Sort -6, y, k in ascending order.\nAnswer: -6, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-120)\/(-720))\/(-3*2\/(-756))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5391 is divided by 2692?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 + 1. Let d be (-4 - 0)*(-1)\/m. Find the third derivative of -4*y**4 + y**5 - y**d + 4*y**4 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 9612 and 26664.\nAnswer: 36276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be -17 + 25 - (8 + (-6)\/2). Suppose -a + 1079 = b*o, 15*a + 4376 = 19*a - 3*o. What are the prime factors of a?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1518 a factor of 32749332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1372893 divided by -6969\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4\/6 - 1720*b**3 - 13307639*b**2\/3 + 8876920*b - 26635921\/6.\nAnswer: -(b - 1)**2*(b + 5161)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.8 + 6.2. Suppose q - 4*z - 35 = 0, -3*z + 193 = 2*q + 211. What is the biggest value in -3, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6406851146 to the nearest integer?\nAnswer: 80043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 + 21. Solve -2*k + 3*z = -z - 26, q = k + 2*z + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 71*j**3 - 7175*j**2 + 0 + 7175*j**2 + 11*j**3.\nAnswer: 82*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 2*u - 40 = 0. Let z(r) be the first derivative of r**3\/3 + r**2\/2 - 5*r - 17. List the prime factors of z(u).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -10*u**3 + u**2 + 6*u + 7. Let c(s) = -9*s**3 + s**2 + 5*s + 4. Give -4*c(a) + 3*k(a).\nAnswer: 6*a**3 - a**2 - 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 681451 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 43310477 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12395 and 5920.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3*y + 15120, -3717*y = -3722*y + x + 25200. Is y a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 146682 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2089\/12 + -174. Let w(p) be the third derivative of -r*p**4 - 5\/6*p**3 - p**2 + 0 + 0*p. Calculate w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 4*u**2 + 21*u - 1915. Determine o(-26).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47220009?\nAnswer: 3, 15740003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 82847629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)*-2)\/sqrt(7) + sqrt(45)\/(sqrt(9)\/sqrt(3)))\/((sqrt(132)\/sqrt(4))\/sqrt(11) + sqrt(12)\/sqrt(4)*4).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -7429000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {j: 1, s: 1, k: 5, e: 1, g: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 247 times 16747\nAnswer: 4136509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14646, 14675, 14704, 14733, 14762, 14791?\nAnswer: 14820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 74447717 to the power of 1\/2, to the nearest integer?\nAnswer: 8628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (930\/(-1240))\/((-10)\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -3, -4, -13, 0 in decreasing order.\nAnswer: 0, -3, -4, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -2.92\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -4*c, -4*x + 4*c - 37 + 97 = 0. Suppose 0*w + x*w - 50 = 0. What is the remainder when 8 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/2*u**2 + 2 + 2*u.\nAnswer: (u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42, 39, 36, 39, 54, 87, 144?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 56*d - 2. Let a be w(7). Suppose 5*u + 0*u - a = -2*k, -5*u + 380 = 4*k. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17057 - 3317 = 10*q. Does 44 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -104\/3 + -83\/6. Find the common denominator of (-129)\/20*(6 + 64\/(-12)) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19\/(-2)*(-13 + -7) is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 870 divide 1678230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 55.92 + -48.9. Let q = g + -7. Let d = q - 0.02. What is the smallest value in -5, d, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 72 - 8. Let p = -135\/2 + q. Find the common denominator of -3*(81\/(-6))\/(-1) and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 16\/88 - (-1842)\/33. Suppose -22 + c = f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 229074 - 2208 = 5052*y - 106566 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be -7 + -2*(-15)\/(-10). Let c be (-4 + 8)*5\/m. Let g = -4.94 - 0.06. What is the second biggest value in -0.4, -3, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 430 is divided by (-22 + 16)*2\/12 - -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1, -12, -33, -64, -105?\n\"Answer: -5*b**2 + 4*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1292 + -2686. Is -3\/2 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 395065494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24698 + 24697. Is -64\/213 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 410998 is divided by 102743?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -782.1 and 3487553?\nAnswer: 3488335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -386*y**3 - 28*y**3 + 44*y**3 - 132*y**3 + 4*y**2 - 4*y**2.\nAnswer: -502*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 64 = 2*q. Let k = q + -4. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -16*b**3 + b**2 + 15*b - 5. Suppose t - 36 = 4*q, -5*q + 8 + 1 = -8*t. Let g(m) = 3*m**3 - 3*m + 1. Determine q*g(a) - 2*o(a).\nAnswer: -a**3 - 2*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8407912 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -80*g**2*s**2 + 68*g**2*s*u - 2*g**2*u + g**2 + 19005*g*s**2 + g*s*u + s**2*u wrt g?\nAnswer: -160*s**2 + 136*s*u - 4*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from lhlrrlllrrs?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes after 3:42 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -2*z**2. Let g = 1 + -1. Let t be (g\/(2 - 0))\/(-2). Let d(w) = t*w - w - w. Give d(q(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/(156\/9)*(-4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 0*r + 5*r - r. Suppose -4*c + 3*s + 2*s = -7, 5*c + 4*s - 19 = 0. Suppose c*z = -0*z - 15. Let o(w) = 2*w. Calculate z*o(p) + 2*h(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -209*s**3 - 179*s**3 + 383*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 + -897346.3?\nAnswer: -897346.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 - 4*h - 7. Let g(n) = n + 5. Let b be g(-3). Suppose -b*c + 2 = -c. Suppose 0 = -3*j + c*m + 12 + 9, 0 = -5*m - 15. Determine a(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 77069581 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -190626*x**4 + 99781*x**4 - 703 + 96252*x**4 wrt x?\nAnswer: 21628*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-3330)\/(-372) - 9)*16\/(-18))\/(198\/297)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 22*o + 42. Determine b(-12).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -65 + 46. Let h = v - -14. Let z be (2 + -16)*(-3)\/15. Which is the second biggest value? (a) h (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 41666*p**3 - 9878*p**2 - p wrt p?\nAnswer: 249996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l**3 - 2*l**2 - 4. Let x be o(6). What is x rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 9*f - 8. Let b be q(2). Calculate the highest common divisor of 110 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4 - -3)*(-602 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (30*f**2 - 30*f**2 - 19*f**3)*(-3*f + 3*f + f)*(0*f + 3*f - f).\nAnswer: -38*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d**3 - 2*d**2 + 2*d - 4. Let s be l(2). Suppose -5*x + x - 32 = s. Let g = 30 - x. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 - -24. Suppose -n = 5*t + 1. Which is smaller: t or -20\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 98 - 121. Let u = 556 + -579.1. Let w = u - v. What is the fourth smallest value in -1, -2, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -65, 1\/206, -5, -25\/3 in decreasing order.\nAnswer: 1\/206, -5, -25\/3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 5987294, 11974580, 17961864, 23949146, 29936426, 35923704?\n\"Answer: -k**2 + 5987289*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nvnt when four letters picked without replacement from nvnvnttvnvntn?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 7*s**2 + 27*s - 158. Let g be t(-7). Sort -3.09, -0.2, g in decreasing order.\nAnswer: -0.2, -3.09, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3779\/4044 - 6\/337. Let z(f) be the second derivative of 0*f**2 + 0 - 9*f + j*f**4 - 4\/3*f**3. Find the second derivative of z(g) wrt g.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/(36\/(-6)) - 68\/(-2). Let r(k) = 17 - t + 23 - 31*k. Is r(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -2*w + 5, -2*w + 6*w - 35 = 5*l. Let b = 15 - w. Suppose 24 = -b*n + 4*n. What is the smallest common multiple of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2.1? (a) -4\/5 (b) 1\/7 (c) 0.1 (d) -2.69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d + 4*z - 31, 0 = -d + 3*d + 2*z - 18. Suppose 30 = -d*w + 105. Let t be 812\/6 - (-2)\/(-6). What is the highest common divisor of w and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 73*m**3 + 35907*m - 632*m - 835*m**2 - 68*m**3 - 34445.\nAnswer: 5*(m - 83)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48152750?\nAnswer: 2, 5, 192611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 5*t = 20. Let h be 1\/t*(1 - -3). Let u(p) = 3*p. What is the units digit of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 43.9 + -46. Let z = -4.7 - m. Let p = -2.7 - z. Which is the third smallest value? (a) 5 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 + 45 = -q. Let b = q - -126. Let x = b + 19. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -523046 divided by -4\nAnswer: 261523\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -277*s**2 + 39 + 35 - 269*s + 1031*s**2 - 74 wrt s?\nAnswer: 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000 + -1010100?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + 20*u - 17*u - 12, -4*z + 9 - 1 = 4*u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15221.\nAnswer: 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47337 = 5*b + p, -47*b + 47365 = -42*b + 5*p. What are the prime factors of b?\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q + 4 - 2 - 1 - 6*q**2 + q**3 + 0. What is the units digit of i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**2 - 2*c + 3. Let b = -554 - -551. Give g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 - 11*l + 26. What is f(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the first derivative of z**5\/60 - z**4\/4 + 5*z**3\/6 - 7*z**2\/2 - 6. Let d(j) be the second derivative of b(j). Calculate d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1269, 2594, 3959, 5352, 6761?\nAnswer: 8174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 487 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 93*f + 69 - 47*f + 43 - 48*f - 35 as q*f + o and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -9*q**3 - 432*q**2 + 13. Let u(g) = -7*g**3 - 324*g**2 + 10. Let d(t) = -10*f(t) + 13*u(t). Factor d(i).\nAnswer: -i**2*(i - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 1\/11 (c) -992 (d) -0.2 (e) -129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28120, -28101, -28128, -28249, -28512?\nAnswer: -28965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d + 55 = 7. Let o = d - -12. Suppose o*s - 20 = 0, 0 = 5*n - s - 3*s - 995. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 4*b - 108 = 2*z, -b + 202 = 2*z. Suppose p = -p + z. Suppose 18 = -4*n + p. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l + s - 29 = 3*l, 4*l - 5*s - 47 = 0. Suppose l*f = 5*f + 123. Let i = f + -20. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000262599 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 2*z + 9 + 7 = 0, 3*z + 36 = 4*f. Let o(k) = 172*k**2 - 46*k + 23. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.09 - -5.09. Let j = 0 - r. Let u = -3 - j. What is the second biggest value in 0.2, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 6:25 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 84*o - 19 + 19 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -12*m - 418. Let o(r) = -49*r - 1545. Let h(d) = -15*f(d) + 4*o(d). Determine h(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -161141 * -0.13.\nAnswer: 20948.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2369317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d - 2*d - 4*d + (-17 + 33 + 9)*(2*d - 3*d + 2*d).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -2*r + 39. Let s(n) = -1. Let f(v) = 2*l(v) + 10*s(v). Let b be f(26). Sort -3, -2, b.\nAnswer: b, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 340 divide 1517926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*g**2 + 42*g**2 - 21*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/13, 0.2, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -490743*n**3 + 13*n**2 - n + 1054558213.\nAnswer: -1472229*n**2 + 26*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 692111252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 6, b: 4, i: 5}. Give prob of sequence bib.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from krekrdhrhkk. Give prob of picking 1 e and 3 r.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes before 4:37 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01494027 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 + -16. Let i be (-14*1)\/(r\/3). Suppose i*q - 3*q = -28. Is q smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000352488 to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.5 + -3.6. What is the closest to t in 0, -0.3, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.234682334 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3375169 is divided by 197?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*o - 21*o + 50*o - 17*o - 12*o - 11*o.\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.089 * 0.04432754.\nAnswer: 0.00394515106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -5145301 (base 6) to base 9.\nAnswer: -416361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4*v = -8 + 14, -t + 5*v = 0. What is the closest to t in -0.5, 1\/3, -33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -n - 3*p, -3*n + 2*p - 6 - 28 = 0. Let b = 190 + -193. Is 26 a factor of (-260)\/b*n\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61 - -335. Let h = g + -274. Let z(k) = -k**3 - 3. What is z(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g + 803 - 833 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/5? (a) 1\/97 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 7, n: 1}. What is prob of sequence pnp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 43980 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-2)*175\/(-1050).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 4:25 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 316*g. Let p(a) = 4*a**2. Give j(p(u)).\nAnswer: 1264*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -13, 24 in descending order.\nAnswer: 24, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - ((-30)\/(-28) - 0). Let a = -2.71 + -0.29. What is the nearest to -1 in -4, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4\/5, 47, -0.01?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52 - -55. Find the second derivative of 11*b + 9*b**u - 16*b**3 - 3*b**3 wrt b.\nAnswer: -60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4805*n = 4806*n - 2*m - 17, -5*n + 4*m = 8*m + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*q = -83220 + 17908. What are the prime factors of q?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -30403332 - 21?\nAnswer: -30403353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 15 = 2*w. Let t be (w + 3)\/((-2)\/1). Solve -3*s + 0 + 3 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -142113244 (base 5) to base 2.\nAnswer: -10110100010100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(108))*2)**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 3*y + 487 + 308, -4*h - 1025 = -3*y. Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 0*x - 2238 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(14)*1 + sqrt(14))\/sqrt(7) - (sqrt(648) + sqrt(18)))**2.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 23\/(4715\/328)*170*1\/8\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -499*d. Let o(v) = 7019*v - 26. Determine o(q(r)).\nAnswer: -3502481*r - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-310810)\/(-160)*6\/21. Let v = 3816\/7 - b. Calculate the common denominator of v and -40\/29.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.3, 0.1, 1\/3, -1645, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 7*t + 102. What is i(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8475682?\nAnswer: 2, 4237841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4 - -10. Suppose 11*h - y*h + 15 = 0. Let o = -3 - -1. Is o not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -113*k**2. Let o(p) = -5*p**2 + 4*p - 4. Let r(s) = s + 8*s**2 - 3 - 2*s + 4*s - 11*s**2. Let j(i) = 3*o(i) - 4*r(i). Give j(n(x)).\nAnswer: -38307*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 715 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*d - 10140 + 3373 + 3381 + 3386 + 8*d**2.\nAnswer: 8*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 73*i**2 - i. Let u be q(1). Suppose 0 = 5*h - 152 - 43. Let d = u - h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3\/5 - 128014*t**2\/5 + 2048384016*t\/5 + 2048512032\/5.\nAnswer: 2*(t - 32004)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v**3 + 490*v**2 - 18416*v - 38808 = 0 for v.\nAnswer: -2, 49, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -8*p. Suppose 24 = 2*r + r. Suppose 4*q - 3*g - 23 = -r, -q + g = -4. Let s(w) = 3 - 6 + w**2 + q. Give s(d(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.165, -1, -2?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*3\/9 + 2. Let b(n) = w*n**2 - 6*n**2 + 2*n**2. Let g(i) = 2*i. Calculate g(b(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of l**3\/3 + 125. Let f(g) = 5*g**2 + 431. Determine k(f(i)).\nAnswer: 25*i**4 + 4310*i**2 + 185761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*d - 2*d - 220. Let c be (-4)\/d - (-9)\/11. Solve 2*p - c = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of d**3 - d**2\/2 - d - 5. Is g(6) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 32750284 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 31*y**2 - 23*y**2 + 10 - 74*y**2 - 41*y**2 in the form p*y**2 + q + z*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:16 PM and 6:53 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 12*v**2 + 5*v + 7*v**2 - 237 + 243. Let i be k(6). Suppose -2*b - 8*b = -i. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 240100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 53 and 1272?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -2 - 7*v**2 + 6 - 4 + 6. Let n(o) = -7*o**2 + 7. Let f(j) = 4*n(j) - 5*t(j). Find the first derivative of f(d) wrt d.\nAnswer: 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3361047056?\nAnswer: 2, 210065441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 4854 + 3*q - 4854. Let f(g) = 6*g**2 - 2. Give z(f(w)).\nAnswer: 18*w**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*q**2 + 5*q**2 - 2*q**4 + (3*q**4 - 2*q**4 - 3*q**4)*(0 - 4 + 2) + q**4 + 3*q**2 - 3*q**2 + (-q**3 - 2*q**3 + 4*q**3)*(0*q + 2*q - q) + 0 + 4*q**4 + 0.\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -14815284 at most as big as -14815274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -217*o + 236*o. Let b(v) be the first derivative of -1\/6*v**4 + 22\/9*v**o - 25 + 50\/3*v - 35\/3*v**2. Factor b(r).\nAnswer: -2*(r - 5)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -8, 1, 21, 5 in descending order.\nAnswer: 21, 12, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h*h**(-9)*h**(-8\/3))\/(h**(-1\/15)*h\/h**0))**(-42) assuming h is positive.\nAnswer: h**(2436\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 11 = z, n = -0*n - 3*z + 6. Suppose -25 = -4*y - y. Suppose t + 12 = -y*t. Put n, t, -5 in increasing order.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 497 - -1945?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 75415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3961535?\nAnswer: 5, 792307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 99, 1\/4, 5, -0.3, -5, 8, -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -1 - (-3 + -4 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-one halves of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o. Suppose -11*f = -9*f - 12. Give q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -46921\/13068 + 97\/27. Let m = -6047\/1452 - i. Let d = 37\/55 - -2437\/220. What is the common denominator of d and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9017 + -8807. Calculate the remainder when j is divided by 85.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - -13. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (20\/(-60))\/((-2)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1214*p**2 + 5*p - 8*p + 3*p.\nAnswer: 1214*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*a - 30*a = -42500. List the prime factors of a.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 162 - (-2 + 0 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*u + 6*u + 12 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - 31777?\nAnswer: -31779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -116, -211, -442, -881, -1600, -2671?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l**2 + 16*l + 47. Let v be u(21). Let g be 20\/78 + v\/(-348). Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 90.7667mm?\nAnswer: 90766.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*f**2 + 9*f**2 - 7*f**2)*(57*f**2 + 69*f**2 + 45*f**2).\nAnswer: -513*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*z**3 - 12055*z**2 + 72545*z + 84595.\nAnswer: -5*(z - 7)*(z + 1)*(z + 2417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1266, -10155, -34294, -81309, -158826, -274471, -435870?\nAnswer: -650649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -2*w + 3*b - 60, -320 = -4*w + 4*b. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 920*u**5 + u - 430.\nAnswer: 18400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -36.1027 times 4?\nAnswer: -144.4108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 4*f = 43, -5 = -5*f + 15. Suppose 0 = -2*c - 17 - v. Let y(d) = -105*d + 23. Is y(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express j**2 - 3*j - 3*j**2 + 3*j as g + p*j**2 + f*j and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the second derivative of y**4\/12 - 7*y**3\/6 - 9*y**2\/2 - 161*y. Let k = 1 + 7. Let a be w(k). Which is bigger: a or -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-14)\/6 - 8\/12. Let o be (-16)\/(-12)*w\/(-2). Suppose -4*s - 17 = h, -4*s - o*h - 17 = 5. Let z(u) = u**2 + 2*u + 2. Calculate z(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 849506 rounded to the nearest one thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/47 (b) 1 (c) 0.1 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16997470005 - -16997469780.99999426. Let t = -15 + 239. Let o = q + t. Round o to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 8, 19, 38, 65, 100, 143?\n\"Answer: 4*p**2 - p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 308596 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -2.3009.\nAnswer: -0.23009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/126 and -29\/2716.\nAnswer: 24444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 11 - 2 - 2*g + 0*g - 19 in the form t + h*g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 544922*d**2. Let h(u) = 2*u**2. Give h(t(f)).\nAnswer: 593879972168*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - -301a8?\nAnswer: 301aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 21 - 27 = 2*x, -2*x = 8. Let s(n) = -6*n**2 + w*n**2 - 6*n**2. Let f(m) = 45*m. Calculate s(f(t)).\nAnswer: -4050*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of -o + 2*o**2 + 0 + 1\/12*o**4 - 1\/2*o**3. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 793 + -749. Suppose 8*z + 36 = r*z. Which is the nearest to -1? (a) z (b) 2\/3 (c) 3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 9 + (3 - (-29 - -28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(320)*-1 - sqrt(320))**2*4.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) be the third derivative of -1\/60*v**5 + 0*v**4 + 18*v**2 + 0*v**6 + 2*v + 3\/35*v**7 + 0 - 5\/3*v**3. Differentiate f(x) with respect to x.\nAnswer: 72*x**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (0*h - 2*h + 4*h)*(-1 - 4 + 3) + 3*h - h + 0*h + (2 - 1 - 2)*(3*h - 4*h + 0*h) + 2*h + 2*h - 2*h + 0*h + 3*h - 2*h - 43*h - 1046 + 1046.\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -5*f + 3380, -x + 5 = 10. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 3*v + 101. What is the remainder when ((-9936)\/(-30) - -4) + (-1)\/5 is divided by u(-15)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-55*(-29)\/(-638))\/((-2)\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 6*s + 29*t = 19*t + 107, -2*t - 8 = 2*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffaacaff. Give prob of sequence faf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*j - 12267 = -76499. What is the highest common divisor of j and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) be the third derivative of d**8\/56 - 13*d**5\/60 - 7*d**2. Find the third derivative of b(h) wrt h.\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the second derivative of 79*j**3\/6 + 69*j**2\/2 - 1988*j. Let i(s) = -s**3 - 4*s**2 + 9*s + 4. Let y be i(-6). Is d(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3691356, 14765459, 33222298, 59061873?\n\"Answer: 3691368*j**2 - j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 12\/(2*(-3)\/(-6)). Let u be 28\/3 + (-2)\/(-3). Let p(g) = g**2 - 4. Let f be p(u). What is the greatest common divisor of o and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/60)\/(4\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 3. Let k(q) be the second derivative of 7*q**3\/6 + q**2\/2 + 2*q. What is the tens digit of k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of -10*k**3\/3 + 8*k**2 + 23*k. Let d be q(-2). Let c = 138 - d. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 18*f. Let u be -1*2*(-2)\/4. What is the smallest common multiple of 4 and t(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3582 + 3611 - 7193 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*z = 155*z + 840 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8958492 + 3908492. What is q rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -11*f**3 + 13*f**2 + 24*f - 13. Give q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*j**2 - 12*j**3 + 22*j**3 + 3*j**2 - 6*j**2 wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 219799248 is divided by 470.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/9)\/1 - 370\/45. Let c be (2\/t)\/((-54)\/48*1). What is the closest to -0.2 in c, -0.5, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 * -0.8.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 356, 0 in ascending order.\nAnswer: 0, 10, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 28 = -2. Suppose -5*g = 2*u - 0*u - 9, 2*u - 2*g + m = 0. Find the common denominator of (-2)\/u*-49 - 2 and 119\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 89232*y**2 - 48*y + 903 wrt y.\nAnswer: 178464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of k**4\/6 - 5*k**3\/3 - 4*k. Find the second derivative of a(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3573, -3381, -3189?\n\"Answer: 192*q - 3765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/2560 and 51\/70.\nAnswer: 17920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 776179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -a**4\/3 + 26*a**3\/3 - 164*a**2\/3 + 376*a\/3 - 96 = 0.\nAnswer: 2, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**2 - a**3 + 7*a + 22181 - a**2 - 22171. Calculate d(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*d - d + b, -3*d + 5*b - 9 = 0. Let m(i) = 4*i + 2. Let j be m(d). Let k = j - -16. Solve f = -2*f - k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/9*-6*3. Find the common denominator of -89\/16 and 204\/16*(-10)\/a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 45, 5, -2, 3, -5, 7 in increasing order.\nAnswer: -5, -2, 3, 5, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/127237 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 2*l - 22 = 0, -4*c - 16*l + 26 = -17*l. Let j(w) = -w**2 - 5*w + 1. Let u be j(-5). Calculate the highest common divisor of u and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 4*w - 15. Let k be a(3). What are the prime factors of k*(-4 + 3) - -114?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {m: 4, v: 1, i: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*v - 3*v + 2*v)*(-2*v**2 - 5*v - 4*v + 6*v) to the form k*v**2 + h + y*v**3 + g*v and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*a + 158*a**2 - 80*a**2 - 78*a**2 - 2*a**3 to o*a + h + d*a**2 + w*a**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes before 11:28 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p + 4*j = 5 + 17, 3*j - 15 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the third derivative of a**5\/60 - 3*a**2. Let j(n) = 2*n. What is j(f(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + n - 170 = 0. Let f = n - 29. What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = b - 4*b + 12, -4*i - 5*b = -37 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let -4*u**2 - 6595872*u = 0. What is u?\nAnswer: -1648968, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 371270.\nAnswer: 2, 5, 137, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of -y**4\/4 + y**3\/3 + y**2\/2 - 3*y - 7280. What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 128108665.\nAnswer: 5, 113, 226741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 833 - 833 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4047247800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**9*(d**(-9)\/d)\/d*d)**(-16)\/((((d**2*d*d)\/d)\/d)**(1\/7)\/(d**(-2)\/((d*d**(-7)*d)\/d*d))) assuming d is positive.\nAnswer: d**(131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -386, 0 in decreasing order.\nAnswer: 3, 0, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 82231188.\nAnswer: 2, 3, 13, 527123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 4 - 2*i - 2*i)*(-79 - 80 + 52).\nAnswer: 214*i + 428","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the third derivative of -z**5\/60 + 5*z**4\/24 - z**3\/3 - z**2. Let b be l(4). Find the first derivative of -1 - 3*p**3 + 2 + b*p**3 wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3*((-2)\/2 - 0). Let n(j) be the second derivative of -2*j + 0 + 0*j**c + 1\/12*j**4 - j**2. Differentiate n(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.5 - 5. What is the closest to 2 in p, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 663.37 - 663.38. Let n = 2.95 + 0.05. What is the closest to n in y, 1\/4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2340812?\nAnswer: 2, 443, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z + 1 = 7*z. Suppose -2*k + z + 9 = 0, 2*b + 3*k = 569. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 66\/13 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -318 + 304.3. Let h = m + 14.69. Let g = h + 0.01. What is the third smallest value in -2\/7, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -202.37 - -202.340018. Let u = b + 0.03. What is u rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:45 PM and 2:27 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -s. Let j = 5 - s. Suppose -3*b + 2*w - 40 = -j*b, -3*w = b - 30. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*f - 7. Calculate the common denominator of 1*f*(-78)\/36 and 37\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that 2*r**3\/13 - 268*r**2\/13 - 2958*r\/13 + 864 = 0.\nAnswer: -13, 3, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**5*n))\/(((n**(6\/5)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -3 and -25269314.\nAnswer: 75807942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2191 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8259*y**5 + 3616*y**4 + y**3 + 134263910*y.\nAnswer: 165180*y**3 + 43392*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - 0) + 24 + -26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -2*c + 4*c - i, 2*c = 3*i + 36. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -2*o - 2*o + 13, 0 = -2*q + 5*o. Factor 8*l**2 - 20*l**2 + 2*l**3 - 27*l**q + 4*l**3 - 3*l + 36*l**4.\nAnswer: -3*l*(l - 1)**2*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 22*a + 14. Calculate the remainder when s(5) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkkkknkknnkk. What is prob of sequence nknk?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -18656 = -241*w + 143*w + 1171*w - 137759 for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**3\/5 + 12*n**2\/5 + 88*n\/5 - 96\/5.\nAnswer: -4*(n - 6)*(n - 1)*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 + 8*s**2 - 6*s - 4. Let r be n(7). Suppose -40*x + 39 = -1. Sort 17, x, r in increasing order.\nAnswer: x, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 21*s + 15. Let r be c(-5). Let n = -541\/6 - r. Let k be (8\/20)\/((-7)\/5). What is the third biggest value in k, n, -0.09?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 386 + 12. Let d = 234 - v. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 15*c**5 + 5859*c**4 + 3174*c**3 - 131508*c**2 - 182280*c + 93600 = 0. What is c?\nAnswer: -390, -4, -2, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -2. Let z = 6 - x. Suppose -12*j = 3904 - 3952. Solve 2 = j*n + z*m - 1, -4*m = -n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 - (-2 - -2) - -10. Suppose 4*q - z*q = 0. Factor 1\/2*o**3 + 0 + q*o - 1\/2*o**2.\nAnswer: o**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**3\/5 - 12*a**2\/5 + 64\/5 = 0. What is a?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 + 10. Let j = n - 6. Let v = 12 + j. Solve 0 = -i + 6*i + v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7.98 - -0.02. Let y(h) = h**3 + 26*h**2 - 761*h + 507. Let j be y(17). Which is the nearest to 2\/5? (a) j (b) -4\/7 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5447434183\/1044310 - -7\/104431. Let s = z + -5210. Find the common denominator of s and -45\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - -0.1. Let o = 2 - b. Let a = -0.1 - 0.9. Is o <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8.9999346 + 9. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00007366 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ltlyyqyyylbylqillb. What is prob of sequence ylqt?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 29 + 86016779807?\nAnswer: 86016779836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = -165 - -171. Solve -2*s + 10 = -7*s - 2*k, k - l = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20118438.\nAnswer: 2, 3, 163, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 119 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t = -3*d + 202 - 233, -3*d + 14 = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3976705765?\nAnswer: 5, 29, 1861, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 163*d - 163*d - 10*d**2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j - 2*j = 4*j - 0*j + 13*g - 11*g, -5*g = 19*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 269532, 3, 9 in ascending order.\nAnswer: 3, 9, 269532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -332 + 346. Solve -3*p - 4 = -6*p - 4*a, -3*p + a + g = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28125\/(-46875)*((-8)\/3)\/(26\/15).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/2*298\/2831\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 44497.\nAnswer: 44497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 - y + 49. Determine p(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -15 + 135411?\nAnswer: 135352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 124, -2, 5, 0 in decreasing order.\nAnswer: 124, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*j + 5*j - 18*j + j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(4\/4))\/(-10*(-6)\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2570 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17052*n + 1 - 1 + 14342*n)*(-2*n + 4*n - 3*n).\nAnswer: 2710*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1172806573 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 567979.6 centuries in years?\nAnswer: 56797960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22152, -46337, -72552, -100797, -131072?\nAnswer: -163377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 1 + 6445*j**2 + 0 - 1841*j**2.\nAnswer: 4604*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -w + 4*u, 8 = w + 3*u + 2. Suppose -8*z + 30 = -w*z. Is 995\/z*-1 + 2\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - (-1 - -1 - 4). Let k = 30960 - 30955. Sort r, 0, -5, k in descending order.\nAnswer: k, r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the third derivative of -b**5\/180 - 191*b**4\/72 - 21*b**3 + 387*b**2 - 2*b - 2. Factor z(c).\nAnswer: -(c + 2)*(c + 189)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 270 + -210. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10800 divided by 2700?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 65 = 3*t + 45, -3*x = t - 10. Solve -4*y + x*j - 8 = -30, 4*j + 5 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6161.93um in centimeters?\nAnswer: 0.616193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -33967.6 from -5.\nAnswer: 33962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -203100*g + 69053995. Calculate r(340).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*z, -2*w = -57*z + 61*z - 90. Calculate the remainder when 3909 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 35\/(-1764) + ((-16830)\/(-648) - 26).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205551 is divided by 33914.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2 - -9. Let l(f) = 6*f + 25. Is l(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 506\/8 - (-2)\/(-8) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 5*k - 1. Let s(v) = v - 12. Let p be s(8). Let u be n(p). Suppose 0*b = u*b - 261. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 2 + 6. Suppose -4*z + y - 20 = -5, 0 = -t*z + 2*y - 6. Which is the fourth biggest value? (a) 5 (b) -0.5 (c) 28 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i - 2*i + 0*i)*(1 - 6 + 3) + (1 - 2 - 3)*((11 - 8 + 7)*(1 - 1 + 3*i) - 10*i + 35*i + 14*i).\nAnswer: -270*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 4275 divide 2255143725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*h + 17*h + 2175. Suppose -33*y + 28*y + h = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 36 and -1 + -3 + (-158)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l + 8*m = 5*m + 5, 5*l + 4*m = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gnxhng. What is prob of picking 1 g and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -207*a - 1658. What is g(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q - 5. Let k be d(-6). Let m be (-1 - 6)\/(k + -2). Suppose -t + 1 + m = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 116092, 115979, 115866?\n\"Answer: -113*b + 116205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -868593 rounded to the nearest one thousand?\nAnswer: -869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 535339754 to the power of 1\/2, to the nearest integer?\nAnswer: 23137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -96533976 divided by -462.\nAnswer: 208948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 - 12*f**2 + 14*f + 14. Suppose -4*z - 42 = 5*s, -s = 2*z + 23 + 1. What is the units digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 894469192 divided by -314\nAnswer: -2848628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17870, -35745, -53628, -71525, -89442, -107385, -125360, -143373?\nAnswer: -161430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-5)*-2 - 0. Let z = 15\/44 - 1\/11. Let p = 326 - 324. Sort z, p, y.\nAnswer: z, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 12, 5, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 1:23 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z + 5. Suppose -9 = -4*u + 27. Let c be n(u). Solve 4*t + 26 = -2*l, -3*t = -2*t + 3*l + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -477*r**2. Let n(u) = u. What is s(n(x))?\nAnswer: -477*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fifvfhmvhh. Give prob of picking 1 h, 1 i, and 1 m.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-2*3\/(-36)). Suppose -k = -l - 3, -3*k - q*l + l = -33. Let w = k - -1. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 302372 (base 8) to base 6.\nAnswer: 2045002","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose 8*z = 108 + 4. Let l be (2\/5)\/((-2)\/10). List the prime factors of 84 + l + z\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 999*i + 2370*i - 380*i.\nAnswer: 2989*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.062 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 3, -10, 3\/73, -3, -5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 4*h - 3. Is 27 a factor of w(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((1248\/36)\/(-13))\/(3744\/108)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -244, -482, -720, -958, -1196?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ohao when four letters picked without replacement from {o: 2, h: 4, z: 2, a: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(-2)\/(r**(-1\/5)\/r)*(r**(-1\/4)\/r)\/(r**4\/r)*((r**(-4\/11)*r)\/(r**(4\/5)*r*r))\/(r**2\/r)**(-40) assuming r is positive.\nAnswer: r**(7213\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -1.95.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 30*h**2 + 230*h - 94. What is d(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + 1)\/(13\/(-234)). Let c = y - 33. Let d be -2 + -2*(1 - 0). Sort c, d, -3.\nAnswer: c, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 8*i - 3. Let j be w(-5). Let t = j - -45. Suppose 97 = 3*a + 4*u, -4*a - 2*u + 132 = t*u. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -5*p**2\/2 - 4*p + 44. Let f be c(-2). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -10342.85 - 0.32.\nAnswer: -10343.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3724 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 16123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -225*m**4 - 15105*m**3 - 16926*m**2 - 6348*m - 792 = 0.\nAnswer: -66, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that -2*r**5\/7 - 46*r**4\/7 + 276*r**3\/7 - 128*r**2\/7 - 64*r = 0.\nAnswer: -28, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 15 - 16. Sort -4\/3, v, 5 in increasing order.\nAnswer: -4\/3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*i - 36 + 141. Let m = i + -11. Suppose -3*q + 369 = 3*b + 123, -m*q = 2*b - 162. Is b a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 22.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 161020123 is divided by 2384.\nAnswer: 2379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 5*h = 8, 4*k = -h - 2 - 1. Let y(g) = -15*g - 2. Calculate the remainder when 23 is divided by y(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 53 + -955\/18. Let n be 10\/8 - (-4)\/(-16). Are n and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -90597.449 to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 146*w - 5. Let j be d(10). Suppose -j = -6*f - 345. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 2 + 1 + -1 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + (1 - 6) - -3 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**3 + 2*q**3 - 2*q**3)*(3*q**2 - 6*q**2 + 2*q**2) + (q**4 - q**4 - 3*q**5)*(-4 + 5 + 2).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -17 + 35\/2. Let o = 51326\/21 - 2444. Are s and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 + -63 - (9 + -5).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 121252, 121250, 121246, 121240, 121232, 121222?\n\"Answer: -f**2 + f + 121252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 - 2*z**2 - 3*z + 2. Let p be j(3). Let m(g) = g**2 + 8*g + 9. Let w be m(-7). Suppose -3*f = f - 2*v - 18, w*v = -f - 3. Are f and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -4*q**2 - 69*q - 7. Let j be (-1598)\/51 + 16 - (-10)\/(-6). Let l be t(j). Calculate the highest common divisor of l and 990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -25*w**2 + 103 + 20*w**6 - 103 + 3*w**6 wrt w.\nAnswer: 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40825 is divided by 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence udm when three letters picked without replacement from {v: 2, u: 1, z: 1, d: 1, l: 1, m: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be -20862 + (-3)\/6*-4. What is q rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 6, 3, -5, 5 in ascending order.\nAnswer: -10, -5, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + l + 3 = -6*r, -4*r - 4*l = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20453*l**3 + 35*l**2 - 201821547 wrt l?\nAnswer: -61359*l**2 + 70*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -143*k - 101*k - 15405 = -17*k - 32*k for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1\/8, -13392, 0, -1\/6 in decreasing order.\nAnswer: 0, -1\/8, -1\/6, -1, -13392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -248, 9\/4, -55?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -6 times 0.23\nAnswer: -1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 23142\/(-1188) - 6\/(-27). Let z = 57\/22 + v. Calculate the common denominator of 53\/5 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (23*(-975)\/(-2300))\/(3\/8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*l + 5*l - 3*l + (0 + 2 - 4)*(0*l + 0*l + 3*l))*(2*l**4 - l**4 + l**4) - l**5 + 87*l**3 - 88*l**3 + 78*l**4 - 13*l**4.\nAnswer: -3*l**5 + 65*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -288*n**5 - 1824*n**4 - 25*n**3 + 11933*n**2 + 189 wrt n?\nAnswer: -17280*n**2 - 43776*n - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 2:46 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are 652 and 4569\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8496.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-130)\/(-18) + (-28)\/126. Suppose -u = 5*z + 88, 3*z - 419 = 5*u + f*z. Let d = u + 86. Solve 0 = 2*h - 2*j - 1 + d, 3*j - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 59783939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(312\/(-20))*(-23 + (-4537)\/(-195))?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -9\/8887 (b) 4 (c) -0.4 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*c + 117566 = 114350 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*a + 75 - 113 - 55. Solve -a + 8 = -u, -2*j = -4*u - 26 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(432) - sqrt(432)*-1)\/sqrt(4) + -3)**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*m**3 - 22*m**3 + 27*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*v - 141*v - 3*v)*(35*v + 21*v - 37*v) to the form z*v + q*v**2 + j and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 40 - 22. Calculate the remainder when 34 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + -4 + (-21 - -2 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 93*j - 1688. What is l(18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*l + 124 = 52*l. Find the common denominator of l and -5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7158\/77 + -666\/7. Calculate the common denominator of p and 3\/(-9) - 0 - (-956)\/(-48).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(-9))\/((-32)\/(-144)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -3*u**2 - 17*u - 8. Let b(g) = g**2 + 6*g + 3. Let j(f) = 11*b(f) + 4*p(f). Let w(y) = 3*y**2 + 4*y - 2. Give -5*j(t) - 2*w(t).\nAnswer: -t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be 17 + 1 + (-4)\/(-4). Let h be (-22)\/4 - c\/38. Is h != -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1352*p + p**2 - 270*p - 271*p - 263*p - 279*p - 269*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/6*l**2 - 3\/2 + 5\/3*l = 0 for l.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59 is divided by 180\/((-18)\/(-3)) - (19 - 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4203, -16449, -36865, -65457, -102231, -147193, -200349?\nAnswer: -261705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 402152334 divided by 37.\nAnswer: 10868982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*d + 13*d - 19*d - 9 to w*d + y and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 113983327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50517?\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 50*g**5\/3 + 470*g**4\/3 + 1082*g**3\/3 + 126*g**2 + 12*g = 0.\nAnswer: -6, -3, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 2*w**3 + 12*w**2 - 18*w - 19. Let j be o(-7). Let u(c) = c**3 - 9*c**2 + 4*c + 7. Calculate u(j).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, d: 7}. What is prob of sequence rdd?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 8*z - 4*x - 16, 3*z + 3*x = 12. Solve -b - f - 3*f = 6, -2 = 3*b - z*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -a - 21, 5*a = a + 16. Let u(q) = -q**3 - 4*q**2 + 4*q + 6. Let m(x) = x. Let d be m(-5). Calculate the remainder when u(d) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of -2*v**6\/15 - 32*v**5\/25 - 22*v**4\/5 - 112*v**3\/15 - 34*v**2\/5 - 16*v\/5 + 29. Solve j(m) = 0 for m.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -151, 47, -4, 18, -45, 5 in descending order.\nAnswer: 47, 18, 5, -4, -45, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 4 + (12 - (9 + -5)) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3618353 is divided by 403?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 1607238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {t: 5, e: 4, c: 6, j: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7808243347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2af - 1e6a?\nAnswer: -1bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/5 + 279*t**2\/5 + 6192*t\/5 + 5916\/5.\nAnswer: 3*(t + 1)*(t + 34)*(t + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -19) + (4 - (32 + -32))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -195 = -3*u - 3*g, 43 = 2*g + 57. What is the greatest common divisor of u and 7752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: ((64\/(-380))\/(-2))\/(3308\/(-20675))\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 260 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the third derivative of 5*y**8\/168 - 59*y**6\/40 - 2*y**5\/5 - 5*y**3\/6 - 3020*y**2. Find the third derivative of t(n) wrt n.\nAnswer: 600*n**2 - 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 7*i - 10. Let d(y) = 21*y - 30. What is 4*d(l) - 13*h(l)?\nAnswer: -7*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -33376*v**4 - 3872?\nAnswer: -133504*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes after 4:30 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 63, -1, -10, -5 in descending order.\nAnswer: 63, 2, -1, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 15*x - 40. Let d be h(3). Solve 3*u = 4 + d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 10 - 9)*(-c**2 - 3*c**2 + 2*c**2).\nAnswer: 38*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/36 and (-2)\/1 - (-231)\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(1\/5))**6)**(-10))**(-5) assuming p is positive.\nAnswer: p**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2\/17 - 1648*b + 589218\/17.\nAnswer: -2*(b - 21)*(b + 14029)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 - 4*d + 60. Suppose -20*h + 182 = 62. Let l be n(h). What is u in -9\/8*u**3 + 0*u**2 + l - 3\/8*u**4 + 3\/2*u = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 22*g**2 + 46*g - 46*g + 4 - 16*g**2 + 32*g**2 as n*g + c + v*g**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 2*y - 7. What are the prime factors of b(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*k + 72, 22 - 163 = -3*q + 5*k. Differentiate -58 + q*z + 0*z**3 - 44*z - z**3 wrt z.\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor h**4 - 17*h**3 + 96*h**2 - 180*h.\nAnswer: h*(h - 6)**2*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 9, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*w = 17*w - 36. Solve -3*n - w = 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = x + 3, b = -2*x - 2*b - 2. Suppose s - x*p + 5 = 0, -s + 3 = -0*s - p. Solve -4*m = 2*n - 4, 3*n = -s*m + 6*n + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (-3 + 1 + -2 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 72\/(-4)*(-6)\/(-27)*-39. Let z = n + -152. Solve t + 0*t = -k, 0 = -3*t + k + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.4021 and -7.6376.\nAnswer: -7.2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 6263525327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40637348 + -22537348. What is j rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 78 and 1333\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14*f**3 - 439 + 1852 - 13*f**2 - 28*f**3 wrt f?\nAnswer: -42*f**2 - 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p**4\/21 - 2*p**3\/7 - 8*p**2\/21 + 8*p\/7 = 0 for p.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 4*d + 41 = 0, -13 = -t - 9*d + 8*d. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**4 - 3342*f**3 - 10014*f**2 - 10010*f - 3336.\nAnswer: -2*(f + 1)**3*(f + 1668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 - (3 - 3 - -1). Suppose 3*o + 21 = q*d - 3, 3*d = o + 2. Let w = -9 - o. Solve -2*v - 4*n - 4 = 0, 3*n + 17 = w*v - 0*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126859553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1*33\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 4305.413+3895679\nAnswer: 3899984.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 21.53, 7, -3, 0.05, -3\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13 + -2 - 14) + (3 - -3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.2 from -13351687.\nAnswer: -13351686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-120)\/(-9900)*2\/((-6)\/15)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25061102 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -156, -461, -766?\n\"Answer: -305*z + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**8*(h\/h**1*h)\/h)\/(h**(-2\/9)*h*h**(-1\/6)))\/((((h*h\/h**(2\/3))\/h)\/(h**8\/h))\/((h*h**(6\/11)*h)\/(h**(-3\/4)\/h))) assuming h is positive.\nAnswer: h**(7267\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1066, 1027, 974, 913, 850, 791?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -37*v - 39*v + 87*v + 10 - 27*v - 14*v**2. Let h(r) = -r**2 - r + 1. Give -12*h(l) + w(l).\nAnswer: -2*l**2 - 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 5569*m + 49662. Calculate d(-9).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ekk when three letters picked without replacement from {e: 1, k: 1, o: 1, u: 3, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -45196*m + 2340 = -45176*m for m.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 - j + 1. Let a(y) = 5*y**2 + y + 1. Calculate -a(k) - 2*g(k).\nAnswer: -3*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-6 - -9) - (-4 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -14 - -2 - (-8 + 10 - -3) - -94?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/462 and 79\/18?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 107 divide 11556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(720)*-3 + 5)**2 + 0 + 5)*-1 + 1.\nAnswer: -6509 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -147\/2*m**2 - 8 - 343\/8*m**3 - 42*m = 0 for m.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from zzndd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8489791ms in microseconds?\nAnswer: 848.9791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -421*q = -432*q + 418 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*y**2 - 2449 + 4902 - 2455 + 290*y**2.\nAnswer: 339*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6790 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*h**2 + 2*h + 4*h**2 - 2*h**2 wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/11232 and -67\/28548.\nAnswer: 685152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u**3 + 7*u**2 + 6*u. Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -2*p**3 + 377*p**2 + 552*p + 3418. Calculate j(190).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 40350024 to the power of 1\/2, to the nearest integer?\nAnswer: 6352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 158246583.\nAnswer: 3, 11, 39631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*r - 95 - 112 + 33*r - r + 12*r.\nAnswer: 71*r - 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 36 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 36 by 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 0.05, -2\/39?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 32 - 18. Suppose n + 0*n = a. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8703 + -8703.3. Let f = 1.1 + -6.1. Which is the biggest value? (a) f (b) -7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-11)*g)\/g*(g**(16\/5)\/g)\/g*g**7*g**(-3\/17))**12 assuming g is positive.\nAnswer: g**(-3036\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 5, s: 14}. What is prob of sequence sso?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 1\/20, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**4\/11 - 130204*m**3\/11.\nAnswer: 2*m**3*(m - 65102)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*q + 4833 + 33303 = 49*q. What are the prime factors of q?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-77)\/308*16\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7*(-3)\/(-35)*(-50)\/(-2). What is the greatest common divisor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1410 a factor of 65879430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -0.9, -822, 0.3, 0.1 in increasing order.\nAnswer: -822, -0.9, -0.2, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -4, -98, -338, -796, -1544, -2654, -4198?\n\"Answer: -12*i**3 - i**2 - 7*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4.5 + 4.2. What is the closest to -1\/2 in z, 0.5, 2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 517 + -498. Solve d = -3*y - 11, 3*d + 5*y + l = 3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -257 + 202*p - 202*p + 257 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 4787, 8017, 11247?\n\"Answer: 3230*y + 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2117471221.\nAnswer: 29, 3217, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -662*r - 162723. Determine y(-245).\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 9*z + 5. Let h be a(9). Let n be 0 + h - (1 - 4). Suppose 3*d - 7 - n = 0. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -2*w - 17. Let u(d) be the third derivative of -d**4\/24 - 4*d**3\/3 - 6*d**2. What is 13*u(s) - 6*z(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17 + -17. Let x be i\/(1 - 0\/2). Suppose -4*k + 349 + 607 = x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 30 = 2*h + 30, 5*h = -z - 15. Factor -10*j**4 + 7*j**3 + 9*j**4 + z*j**2 + 2*j**4.\nAnswer: j**2*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -67 + 136 - 68. Suppose -2*p + 2 = 2*t, 4*t = -t. Let l(u) = 2*u**2 - 2*u. Determine p*a(q) + l(q).\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: ((-474)\/(-1659))\/(1 + (-15)\/7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - 1\/(-3)*((-2184)\/143)\/(-14). Which is the nearest to -2\/7? (a) 0.05 (b) -2\/5 (c) r (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 26*v + 76. Let k be h(-17). Suppose 0*u = -3*d - 5*u - 754, -5*d = 3*u + 1262. Let f = d - k. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3896 + -3897. Which is the second biggest value? (a) -2 (b) -0.4 (c) 2\/7 (d) 2\/9 (e) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -2*b + 30, 3*b - 2*j - 1 - 4 = 0. Suppose -5*m - 45 = -b*n, 3*m = -3*n + 26 - 5. Let p(o) = o**2 - 7*o - 2. Is 2 a factor of p(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 176*j + 12628 + 16722 - 8054 for j.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of 1 + 0*u**2 + 0*u - 1\/32*u**4 - 2*u**3 - 1\/240*u**5 + 1\/1440*u**6. Let j(r) be the third derivative of z(r). Factor j(g).\nAnswer: (g - 3)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -2932*l**4 + l**3 - 229*l**2 + 2*l + 1. Let a(u) = 3*u**4 + u**3 - u + 1. Let g(k) = -a(k) + v(k). Find the third derivative of g(r) wrt r.\nAnswer: -70440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1739851 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s + 1 - 1)*(-67*s**3 - 4 + 4).\nAnswer: 134*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 56 minutes before 8:33 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(150)*-2 + 5*-2*sqrt(6))\/(-4*sqrt(108) - (sqrt(3) - sqrt(12)\/sqrt(4))*3).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*x + 25*x = 111*x + 1298 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21.016 + -0.016. Let f = k - 37. Let b = f + 16.28. What is b rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 1\/6, 0.1, 3\/7, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 20 + 89 = 0. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - 0.6. Let f = 12.34 - 12.3. Which is the closest to -1? (a) -3 (b) g (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 598.9078 weeks?\nAnswer: 362219437440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/12295 in -36\/13, -1, 7\/2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -174 or -691\/4?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (v**2 + 0*v**2 + v**2)*(24 - 201*v - 15 - 9)*(2*v - 6*v + v).\nAnswer: 1206*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -3*b**3 - 9*b**2 - b - 1. Let y(k) = -k**3 + k + 1. Let v(f) = n(f) - 2*y(f). Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 - (2 + 15\/(-33))*-971. Let p = c - 1502. What is the common denominator of ((-6)\/(-8))\/((-7)\/(-44)) and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 - 7*j**2 + 8*j - 9. Let g be o(6). Suppose 2*k + 9 = 2*s + s, k = -s + g. Suppose 3 + 45 = s*z. Solve 2*h + 2*h = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/452 and 71\/728.\nAnswer: 82264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*i + 10*i - 8. Calculate the smallest common multiple of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -188061, -188048, -188021, -187974, -187901, -187796?\nAnswer: -187653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 10.61679 months?\nAnswer: 0.008847325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -22042 times -0.3?\nAnswer: 6612.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - g = -18. Let i be (1*(0 + 1))\/(-1). Let r = g + i. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2042*c + 42885. What is i(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.12 (c) 0.06 (d) 1\/19 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 6 - -0.9777\nAnswer: 6.9777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes after 8:01 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5080779*p**2 - 5080779*p**2 + 15*p**3.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 4, v: 4, f: 12}. Give prob of picking 1 f and 3 v.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -4617228+-2\nAnswer: -4617230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1032358?\nAnswer: 2, 516179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 2*n + 2*s + 10, n - 7 = 4*s. What is the tens digit of 82 - ((0\/(-1))\/(-2) - n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -97 (base 15) to base 13.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 117948829 and 117948829 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the second derivative of g**6\/15 - g**5\/5 + 24*g. Factor k(f).\nAnswer: 2*f**3*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 377*w - 76 = 358*w. Solve 0 = -4*h - 4*g - 12 - w, 5*g = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*g**3 + g**2 - 6 + 7 - g**2 in the form z*g**2 + q*g + t + f*g**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 2*q**2 - 11*q - 456. Determine m(-15).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 - 8. Which is smaller: o or -2\/57?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 5*z - 344 = 0, 4*w - 2*w - 643 = 5*z. Suppose -3*t - 2*x - x + 324 = 0, 3*t = 2*x + w. Let g = 270 - t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 5*r. Let i be o(3). Let l be (-2)\/(-6) - (-115)\/i. Let j(s) = s**3 + 3*s**2 + 2*s. Let c be j(-2). Solve c = -l*b + 4*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-275)\/132 - (-715)\/165\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9\/44 - -6\/11. Let r = 3939 - 3981. What is the second smallest value in d, -1, r, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -48, -111, -208, -339, -504, -703, -936?\n\"Answer: -17*o**2 - 12*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -5426, -13155, -23198, -35555, -50226, -67211?\n\"Answer: -1157*y**2 - 4258*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2368\/12 - 12\/(-18). Let j = b - 18. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*6\/(-35)*5. Let o = -2 + 6. Let p be 3*(-1)\/(-12)*(-46 - 14)\/(-15). What is the closest to p in o, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - 6 - (-7 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m - 81680*i + 116 = -81684*i, -4*i - 141 = 5*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2 - 60*z - 726. Let l be c(80). What is the greatest common factor of 1159 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -489 - 71*k**3 + 489 - 2*k in the form m + u*k**3 + h*k + d*k**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 11*h. Let t(u) = 199*u**2. Determine x(t(f)).\nAnswer: 2189*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -60934800 rounded to the nearest 100000?\nAnswer: -60900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y\/(y\/(y\/y**(-10))))\/y**(-2\/7))**11 assuming y is positive.\nAnswer: y**(946\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12784? (a) 1.5 (b) -0.07 (c) 0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(605) + -1)**2 - sqrt(360)\/sqrt(8).\nAnswer: -25*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes before 4:49 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 19.1564 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 5*p + 27, p - 2*p = -5*o + 33. What is the least common multiple of 7 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -3*k**2 + 11*k + 60. Let j(d) = 2*d**2 - 7*d - 40. Let c(z) = 8*j(z) + 5*w(z). Let a be c(5). Solve a*v = -v + 2*l, -4*l = -5*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-20)\/8 - -2)*2. Let m be 2 + 611*-1473 - k. What is m rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 615535.6ml in litres?\nAnswer: 615.5356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -3*c**3 - 2195994*c**2 - 402120418203*c - 93173777303544 = 0.\nAnswer: -365883, -232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the third derivative of -b**5\/480 - b**4\/16 - 9*b**3\/16 + 92*b**2. What is q in h(q) = 0?\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5\/3328 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -326 + 2*j + 6*j - 7*j + j.\nAnswer: 2*j - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s - 2. Let l(r) = -10*r + 4. Let v be l(-4). Suppose -j - 3*j = -v. Let h = -8 + j. Determine a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.044 and -0.0507468.\nAnswer: 0.0529796592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3, -0.4, -6\/13, -0.15 in descending order.\nAnswer: 3, -0.15, -0.4, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3*7\/(-84)*6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2 (b) -2\/23 (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 + -13 + 33 + -2 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - 8*r**2 - 7*r - 4. Let g be x(-7). What is the closest to 2\/9 in -0.5, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x + 1439*x**3 + 3 - 8*x - 2*x.\nAnswer: 1439*x**3 - 7*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4 and 1058?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7.834994t in kilograms?\nAnswer: 7834.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 209930.561835 + 1156434.438135. Let p = -1366371 + m. Let k = -6 - p. Round k to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/28*(4 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) be the second derivative of 35*t**3\/6 + 10*t**2 + 4*t. Let z(c) = -9*c - 5. Let h(u) = 4*d(u) + 15*z(u). Find the first derivative of h(s) wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 6 + 3)*(3 - 3 - 1)*(-6*t + 10*t + 8*t).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(-3\/8)*y*y\/y**4)\/((y\/(y\/(y**(-9)*y)*y))\/(y**(2\/5)\/y*y)))**(-1\/16) assuming y is positive.\nAnswer: y**(-351\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = -r + 204, 6*r + 2*n = 8*r - 372. Let m = r - 187. Solve -m*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 233403 (base 6) in base 12?\nAnswer: b863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/69 + -61\/276. Let k(s) = s**3 - 2*s**2 + 1. Let x be k(2). Let o = -7545\/19 + 397. Which is the closest to p? (a) -4 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 60 + 605558?\nAnswer: 605618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -579*x + 421 wrt x?\nAnswer: -579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 35879, 71733, 107577, 143405, 179211?\nAnswer: 214989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of 1\/6*k**3 - 3*k + 0 + k**2. Let r be m(0). Solve -3*n = -r*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*v - 317 = -593 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 + 6350*n + 107669. What is i(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/10*8\/(-6) - 86) + 8706 + -8699?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 33 = 3*n, 7*n - 4565*t + 49 = -4576*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = x + 18, -3*z = -z - 2*x - 12. Suppose -3*a = -z*a + 14. Solve -2 = 4*q + a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000088157 rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**2 - 8*w - 11. Calculate q(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.385 - 282.615. Let r = 283.01 + x. Which is the second biggest value? (a) r (b) 1\/4 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5156 + 2567 - 24273*g + 2589 as d + x*g and give x.\nAnswer: -24273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 7*z - 9 - 2 + 5.\nAnswer: 7*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, y: 1, h: 1, b: 2, a: 1, m: 1}. What is prob of sequence bh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 59835568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -11\/2*o**2 - 32*o + 1\/20*o**5 - 3\/2*o**3 + 0 - 7\/12*o**4. Calculate i(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the third derivative of d**5\/20 - 5*d**4\/8 - 5*d**3\/2 + 11*d**2 + 3. List the prime factors of t(8).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -150*a**3 - 26*a - 22*a + 203*a**2 + 48*a + 82*a**2 wrt a?\nAnswer: -900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 412.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1158 + 1162. Let n = -18 + 26. Suppose 2*p + n + 0 = 0. Which is the nearest to -1? (a) p (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1\/45, -2\/3, 3\/2, -13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 135 in -3, -1\/8, 0.09, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -12112200 (base 3) to base 8\nAnswer: -7711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -18 + 19. Let r = 642\/5 + -129. Let j = 0.3 - 1.3. What is the second smallest value in r, j, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-z - z + 3*z)*(-6*z + 3*z - z)*(-57 - 69 + 28)*(2 - 3 + 2)*(3 - 1 - 1) in the form f + o*z**2 + w*z and give o.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 190 - 220. Let t(n) = 4*n + 7. Let p(x) = 4*x + 6. Give m*t(h) + 6*p(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 531 + 267 = -6*h. Let q = 145 + h. What is the highest common factor of 324 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49832 is divided by 402.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hi when two letters picked without replacement from {j: 1, h: 1, i: 6, c: 1, e: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2\/3 - 281416*v\/3 - 1407055\/3.\nAnswer: -(v + 5)*(v + 281411)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -494108*z**6 + 3*z**3 - 44614*z**2 - 2*z?\nAnswer: -59292960*z**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 z, and 1 d when three letters picked without replacement from {z: 3, d: 2, o: 2, l: 11, x: 1}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 - (-3 - 0)) + 0. Suppose 5*s - 20 = z*j, s = 3*j - 2*j + 7. Suppose -s*k = -0*k - 8. What is the second biggest value in 0.1, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 - 5*g + 10. Let s be b(10). Suppose -21*i = -s*i + 1794. Calculate the lowest common multiple of 10 and i.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-21)\/(-48)*((-288)\/(-42))\/8\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -7635743 + 1?\nAnswer: -7635742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12.32 + -12.62. Let b = 52\/21 - -1\/42. What is the third biggest value in z, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = 4*g - 9*w + 79, -2*w = 2*g + 44. Suppose 6 = -2*b + 4*k, -4*b + 3*k + 4 = 21. Sort 1, b, g, 4.\nAnswer: g, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15 - -11. Which is the biggest value? (a) -0.1 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 42\/3 - (-2 + 1). Let i = r - 11. Suppose 2*q - 2*z - 9 + 1 = 0, i*z + 4 = -2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 4*k - 3464 = 0, -4*h + 9*h + 2*k = 4321. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 675 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3415945 + -1921365. What is g rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - 2*l**2 - l)*(3*l**2 - 3*l**2 + 3*l**2) + (l - 2*l**3 - l)*(2*l - 5*l - 2*l) + 2*l**3 + 3*l**4 - 2*l**3.\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, t: 2}. What is prob of picking 1 t and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/5, 2\/17011, -16?\nAnswer: 2\/17011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = r. Let w(h) = 185*h**2 - 5*h. Calculate w(g(m)).\nAnswer: 185*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be 242\/30 + (-25)\/5 - 3. Let m(k) be the third derivative of 0 + 0*k + i*k**3 + 1\/300*k**6 - 1\/150*k**5 - 1\/60*k**4 - 3*k**2. Factor m(a).\nAnswer: 2*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 4 + 5)*(163*i - 13057 + 13057).\nAnswer: 163*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -2*h + 30. Let t be u(13). Suppose t + 12 = 8*o. Suppose 6*w = o*w. Solve -3*a + w = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.2, -5\/7, -1\/20, -0.19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 521 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*x + 15*x = 270 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 10.8541988 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10426.\nAnswer: 2, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 6.837848 to 3 dps.\nAnswer: 6.838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 118232420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -25\/22338 and 41\/4599.\nAnswer: 156366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.3 (c) 2\/11 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -10 - -131653?\nAnswer: 131643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 588447 is divided by 550.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1315974 divided by -942.\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -536 - 652 = 1568*t - 1622*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/132*(0 + 2 + 16). Put -2\/7, 3\/89, t in decreasing order.\nAnswer: t, 3\/89, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -73*y**3 - 1623*y**6 + 92*y**3 + 786*y**2 - 19*y**3 wrt y.\nAnswer: -194760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wpwwwpwpwwwwww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 6. Suppose 5*k + y = 17, 3*k + h*y - 1 = 2. Solve -5 = k*t + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 319333 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1434248, -2868995, -4303754, -5738531, -7173332, -8608163, -10043030, -11477939?\nAnswer: -12912896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15501831?\nAnswer: 3, 1723, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*m)*(-4*m - 12 + 12) - 5*m**2 + 4*m**2 + 0*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/2))**(-32))**(3\/16)*(t**0\/t**0)**(1\/5) assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175531.\nAnswer: 257, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 323 and 1995.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-44)\/(-14))\/(6*(-4)\/168)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 420 - 238. Suppose -20 + y = -z. Let q = z - -259. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 3*v - 8, -5*m = v - 11. Suppose s + p = -m, -3*p - p = 4. What are the prime factors of 2*(s + (-14)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - 5, 5*f + 125 = 5*v - 0*f. What is the greatest common factor of 50 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.2 (c) -3\/7 (d) 0.0085 (e) -0.31 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 + 472*l + 3268. Determine h(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 795*f**2 + 122*f**4 - 797*f**2 + 74*f**4 - 12 wrt f?\nAnswer: 4704*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 0.5 (b) -1 (c) -4\/387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 102967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l**3 - 1. Let d be h(-1). Let w be (-18)\/3*d\/(-2). Let b = 1 + 0. Solve -b = -w*a + 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > 18114\/29543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*u + 10 = -12*u. Solve y = -3*y - q - u, 1 = -q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8343423, -16686855, -25030287, -33373719, -41717151, -50060583?\nAnswer: -58404015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3985 + 3985 + 77*v**2)*(31*v - 15*v - 9*v + 177 - 4*v) in the form f*v**3 + k + i*v + d*v**2 and give d.\nAnswer: 13629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19777575135 + 98.\nAnswer: -19777575037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*y = 16*y - 136. Suppose -5*m + 2*h + 1151 = -74, -3*m - y*h = -761. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5\/6 - 4\/(-6). Let x = 2756 + -2751. Which is the second smallest value? (a) 3 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3\/5 - 64*h**2\/5 - 82*h + 1092\/5.\nAnswer: -2*(h - 2)*(h + 13)*(h + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 137917\/2774 - 302\/1387. Factor i*c**2 - 1\/2*c**3 - 3267\/2*c + 35937\/2.\nAnswer: -(c - 33)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(4 + -4 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2ab0d6 (base 15) to base 4.\nAnswer: -13313133312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (1\/3)\/(5\/60). Suppose 4 = n*j - 2*j. Let d(x) = -x**2 + 2*x**j + 3*x**2 - 6 - 5*x**2. Let y(m) = 3*m**2 + 17. Calculate 17*d(c) + 6*y(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 - 25\/4) + 1. Let u = 388.3 - 391. Let j = u - -2.3. What is the third smallest value in f, j, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10726, -15467, -20208, -24949, -29690?\nAnswer: -34431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 4*c - 170, -5*c = -0*c - 4*k - 205. Suppose -17*p + 19*p + 44 = 0. Let z = p - -31. What is the highest common divisor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1128 and 722249.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -106234692 divided by 708.\nAnswer: -150049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -388, -680, -998, -1348, -1736, -2168, -2650?\n\"Answer: -n**3 - 7*n**2 - 264*n - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*k - 56 = -7*k. Let m(w) = -8*w - 2. Calculate m(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 49 = -856*k + 863*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*j + 20 = -19*j. Let y(z) = 4*z + 27. Does 25 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7260950 - -1.2?\nAnswer: -7260948.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a hour in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 5*0.043\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/1788 and 133\/24?\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the second derivative of 349*m**7\/42 - 47*m**4\/2 - 117*m. What is the third derivative of w(h) wrt h?\nAnswer: 20940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from jnjnunneljl.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - 2*n - n)*(0 + 0 + 1) + 104*n - 157*n - 79*n.\nAnswer: -133*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 66 - 62. Solve u = k*q + 7, 2*u = -2 + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -4*u**2 - 2 - u**3 + 4*u - 2 + 0 + 1. Let p be a(-5). Suppose 0 = -2*b + 2*j, p*j - 3*j + 2 = b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 2*w - k = 16, -k + 4 = 0. Suppose w*b = -3*c - 0*c - 2, 2*b + 16 = -5*c. Let o = b + -2. Which is smaller: 3\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(2)*4 + 0)**2 + ((sqrt(12) + 3*sqrt(1200) + sqrt(12))\/sqrt(6))**2 + 3.\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ig when two letters picked without replacement from {i: 5, g: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 47823, 95622, 143421?\n\"Answer: 47799*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2040 - -13?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 773 is divided by 174?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of 13*r**4\/12 + 7*r**3\/3 + 35*r**2\/2 + 2*r - 67. Is g(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 0.5. Let r(y) = y**3 - 5*y**2 - 6*y + 2. Let n be r(6). Sort 5, o, n in decreasing order.\nAnswer: 5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74 divided by 70.\nAnswer: -37\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 154607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u + r + 23, 3*u = -48*r + 49*r + 15. What is the second biggest value in u, 2.1, -3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4*z = 4*a - 641, -2*a + 334 = -2*z. Suppose 4*c = 3*p + 129, p + a = 8*c - 3*c. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/250)\/((-10)\/(-50))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 644 + 106?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5014 + 5017. Let v(p) = 7*p + 3. Determine v(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 5 - -3 - -3) + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 213755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: bc19cc (base 15) to base 7\nAnswer: 136132401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from liiiil. Give prob of picking 4 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tgk when three letters picked without replacement from zzzcgztczzkztcccc.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*v = -21*v. Suppose -7*a + 3*a = -8. Suppose v = -a*f + 5 + 5. Solve x + 3 - f = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100460 (base 11) to base 16.\nAnswer: -27741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w + 6*w**2 + 4*w**2 + w**2 - 9*w**2. Let m be 2\/((-5)\/((-45)\/(-2))). Let k = -8 - m. Let y(c) = c. Determine k*l(d) + 2*y(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -10101010100100001 (base 2) to base 8.\nAnswer: -252441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 5:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6929971.71 and 0.0596?\nAnswer: 6929971.7696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 7958 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 725 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1094069?\nAnswer: 17, 139, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 6:14 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**3 + 4*d**2 - d - 1. Let g be p(3). Let m be 9\/6*16\/6. Put -3, m, g in increasing order.\nAnswer: -3, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 14*l**2 - 244*l - 243. Calculate g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (15 - 13) + 1 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 137802640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 4*a = -5807, -4*g + 6*a + 4651 = a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -2434774\/7 and -347825 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 PM and 10:52 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-8))\/1*(-4)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 23254 - 323?\nAnswer: 22631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 11:12 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be -10*(5\/30)\/(4\/(-12)). Do -55 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 30573b (base 13) to base 15\nAnswer: 1739d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11391?\nAnswer: 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 414994352 and 121866?\nAnswer: 1244983056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13603917 divided by -4534639.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 432 - 1002. Let k = y + 908. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-21)\/12 + (3\/(-12) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 39 = -2*d, -4*d - 42 = 7*q + 41 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2*27056\nAnswer: -54112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 31 - 19. Let c = -15 - 1. Let t be (c + -2)*-2*1\/3. Calculate the greatest common divisor of b and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (33\/(-9))\/(1\/(-33)) is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**3\/5 - 512*g**2\/5 - 26480*g - 1424000.\nAnswer: (g - 712)*(g + 100)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-15 - (-23 + 21))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.278 - -803.278. Let q = b - 1109.6. Let n = q - -354. Round n to zero dps.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g**3 + 11*g + 17. Let q be d(-5). Let w = q + -405. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*q - 50 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 1)*(7*g - 12*g + 7*g) - 4 + 4 - g + 4 + 9*g - 14 - 12*g.\nAnswer: -8*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 199999 or 200169?\nAnswer: 200169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the second derivative of -b**3 - b - 405. Let z(h) = -2*h**2. Calculate i(z(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -0.363\nAnswer: -0.1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -i**2 + 10386*i - 23391368 = 0. Calculate i.\nAnswer: 3302, 7084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 1.1. Let k = 84022 - 84020. Which is the closest to -2? (a) y (b) k (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z**5 + 3*z**5 - 2*z**5 - 2*z**5 + 6*z**5 - 3*z**5 - z**5 - 2*z**5 + z**5 + (2 + 1 - 1)*(-2*z**5 + z**2 - z**2) + z**5 + 0*z**5 - 3*z**5.\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 - 2*d. Let b(x) = 4*x**2 + 11*x. Let f(j) = -6*b(j) - 33*m(j). Let h(l) = -16*l**2 - l. Calculate h(f(u)).\nAnswer: -1296*u**4 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be (8 - (13 + -3))*-10. Let o be v\/12*(-14)\/20. Which is the third smallest value? (a) 4 (b) 0 (c) o (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14380522 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 578*v = -119*v - 1071 - 1717 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + 1074a4?\nAnswer: 1074a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 - -1)*(-3)\/(-2). Suppose -5 = k, -s*p + 623 = k + k. Suppose 5*b = -3*z + p, 5*z + 4*b = -0*z + 369. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -9. Suppose r*w + 24 = 99. Suppose 3*h - w = -1. Calculate the smallest common multiple of h and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -o**2 - 1707*o**4 - 4*o**3 + 3406*o**4 - 2*o - 1700*o**4 - 1 in the form j*o**3 + q + a*o + v*o**4 + n*o**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3459609 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*t + 17*t - 90. Suppose 3*r = t, -5*d = -3*r - 58 - 12. Suppose 0 = 4*i - d + 5. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*c - 128\/3*c**2 - 6.\nAnswer: -2*(8*c + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3.5, -121, -3, 0.4, 1, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (20\/((-120)\/189))\/((-45)\/30)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -262510612*n**3*p**2*r - 279*n**3*p*r + 15*n**3*r - 30731*n*p*r**3 - 2*p**2*r**3 wrt p.\nAnswer: -525021224*n**3*r - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -3*g + 5. Suppose -250*t = -237*t. What is h(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9014711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 0.0728?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19217.4 + -19216. Put 5, 0, 1, x, 0.06 in descending order.\nAnswer: 5, x, 1, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 0 + (-782)\/(-4) - 18\/(-12) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59816745 divided by 20705?\nAnswer: 2889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 4*g - 20 = 5, 0 = -g. Suppose -k*b = b - 12. Find the third derivative of -11*l**3 + 0*l**6 - 2*l**2 - b*l**6 + 11*l**3 wrt l.\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -430*i**3 - 3*i**2 + 34864*i.\nAnswer: -2580*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 378770344002 and 0.8?\nAnswer: 378770344001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**3 + w**2 + w + 1. Let m(q) = 7*q**2 - 2*q + 5. Let z(p) = m(p) - r(p). List the prime factors of z(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**1*b**(-2\/29))\/(b*(b**(-11)\/b)\/b*b\/((b**(-2)\/b)\/b)*b*b) assuming b is positive.\nAnswer: b**(172\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 16*m**2 + 209*m + 3. Determine b(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (42\/12)\/(126\/54).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 199*h - 1032. Give c(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 - -1 - (-155 + (121 - 50))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 - 3*a - 10. Let q be h(6). Let g = -6 + q. What is the second derivative of 222*y**4 - 5*y + g*y - 219*y**4 wrt y?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/13*-1*2. Let g = 164 - 488\/3. Which is the closest to 0.1? (a) g (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-307)\/180 - -5) + (-8)\/18 and 187\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.00165 + 3504.00165. Let v = 3504.3962 - t. Let s = v + -0.38. What is s rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(4\/3)*q\/(q\/(q\/(q**(-2\/7)\/q))))**(-26)*(q\/q**(-2\/5))**(-3\/16)*q\/((q\/(q\/(q\/q**(-4\/9)*q)))\/q)*q**(-5) assuming q is positive.\nAnswer: q**(-634043\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 50135404*h**3 + 5207072*h**2 + 4*h wrt h.\nAnswer: 300812424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 31*l**3 + 7*l**4 - 31*l**3 + 10*l + 10*l**4 wrt l.\nAnswer: 204*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 2*sqrt(80) + 3 + (3 + 0 + sqrt(80) - sqrt(80)) - (sqrt(10) + sqrt(40)\/sqrt(4)*1)\/(sqrt(72)*3))**2.\nAnswer: 284*sqrt(5)\/3 + 28121\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 11154 (base 7) to base 9\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(34) + (sqrt(34) - (-2*sqrt(136) - sqrt(34))))\/(-2*sqrt(98) + sqrt(2)).\nAnswer: -7*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 21703896 divided by -2712987\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 89 + 92 - 10*u + 2*u**2 - 181 as m*u**2 + h*u + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 482*s. Let g(c) = 18*c**2 + 21. Let v(f) = -f**2 - 1. Let i(h) = -g(h) - 21*v(h). Give i(d(r)).\nAnswer: 696972*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 135036 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 49 + -51 + 3 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20 + -3. Suppose h + 3 = -3*f + n, -4*h + 11 = 3*f. What is the tens digit of (h\/(-1))\/(2\/46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88594340?\nAnswer: 2, 5, 19, 233143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that a**5\/6 - 38*a**4\/3 - 58294*a**3\/3 - 6504512*a**2\/3 - 25319776*a\/3 - 25087232\/3 = 0.\nAnswer: -172, -2, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 5*a**2 + 4*a - 8. Let h(q) = q**2 + q - 2. Let r(w) = 5*f(w) - 20*h(w). Let p(t) = -14*t**2. Determine r(p(c)).\nAnswer: 980*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 AM and 9:27 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, q: 3, w: 1}. What is prob of sequence qw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (5*(-8)\/70)\/((-3)\/21). Solve -3*g = l, -h*g = -g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 31*i - 37*i + 102. Solve -12*r + i*r = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + 2)*(4*n + n - 2*n) + (2 + 1 - 1)*(2*n - 2*n + 2*n) - 2*n - 3 + 3 in the form o*n + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 AM and 8:32 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n**(4\/5))\/n*n*n**(3\/5)*n)\/(n**(2\/23)\/((n**(5\/2)*n)\/n)) assuming n is positive.\nAnswer: n**(1337\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 4*i - 3 = 33, 33*i = 33 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*d*s**2 + 8*d*s*x + 2*d*s + s**3*x**2 - 2*s**3 + 2*s**2*x**3 + 2*x**3 + 2 wrt s.\nAnswer: 8*d + 6*s*x**2 - 12*s + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13197 - -13203. Let b(r) = -7*r**2 + 2*r - 9. Let j(k) = k**2 + 1. Let c(g) = -b(g) - 6*j(g). Let y(a) = -2*a**2 + 4*a - 7. Calculate d*y(l) + 14*c(l).\nAnswer: 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = 319 + -39. Let f = h + -295.08. What is f rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 56, 118, 194, 290, 412?\n\"Answer: c**3 + c**2 + 52*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3020405577.\nAnswer: 3, 7, 143828837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.476 and -4?\nAnswer: -1.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the second derivative of -131*c**5\/10 - 55*c**4\/12 - 3*c**2\/2 - 333*c - 1. Find the third derivative of g(w) wrt w.\nAnswer: -1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -241997 - 242001 + s + 8*s + 483998.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5146, 5251, 5426, 5671?\nAnswer: 5986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 329241.\nAnswer: 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of -p**4\/4 - p**2\/2 + p + 2. Let m(v) = 11*v**3 - 5*v + 4. Let f(l) = m(l) - 4*o(l). Calculate f(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**2 - 4*g - 1. Let x be y(-2). Let n = -242 + 396. Let r = n - 149. Which is the nearest to -1\/4? (a) -0.2 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -82, -2, 48927 in ascending order.\nAnswer: -82, -2, 48927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 7*x**2 + x + 1. Let u be d(1). Let v = u + -1. Let l be (1 + -2)*(1 + -17). Calculate the greatest common factor of v and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.55 - 0.05. Let w = 1 + 0. What is the third biggest value in 2, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 + 6*o**2 - 5*o + 5. What is g(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 86505 and 474?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 - 58*s - 358. Give v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20756, 41611, 62468, 83327, 104188, 125051, 145916?\nAnswer: 166783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28800198 to the nearest integer?\nAnswer: 5367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**5\/3 - 2234*f**4\/3 - 2238*f**3 - 6718*f**2\/3 - 2240*f\/3.\nAnswer: 2*f*(f - 1120)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-9)\/(-6) + (-74)\/(-4). Suppose -r + o = r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17408\/(-15232))\/(8\/98).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0454*-4.\nAnswer: -0.1816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1559 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 5 = -5*n. Suppose -16*f + 60 = -15*f. Suppose 6*m - n*m = f. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 328 and 8200.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of 0*g - 139 + 15\/4*g**4 - 17*g**3 + 9*g**2. Find y such that b(y) = 0.\nAnswer: 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 29*a - 551 = 0, 49*y + 5*a - 95 = 48*y. What is f in y + 1\/5*f**3 - 18\/5*f - 3\/5*f**2 = 0?\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, 2, -9, 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 62 - 52. Suppose v*j + 5*j = 3285. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**4 + 0*x**3 + 0*x**3 + (-x**2 + 6*x**2 - 3*x**2)*(0*x**2 + x**2 - 13*x**2).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s be (55\/(-22))\/((-2)\/16). Let y be (-3)\/(s\/(-8) - -1). Find r such that -2\/5*r**3 - 4\/5*r**y + 0 - 2\/5*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 2*z - 10. Let b(s) = s**2 + s + 3. Let x be b(4). Let k = z + x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1597, -247, 2029, 5237, 9383, 14473, 20513?\nAnswer: 27509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -667 - -664.17. What is s rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + -1516?\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9541, -13171, -23027, -42223, -73873, -121091?\nAnswer: -186991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/(1 - 214\/198) and -51\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w*w*w*w**(-2\/5)*w*w*w*w))\/(w\/(w**(3\/5)\/w)))**(-3\/7) assuming w is positive.\nAnswer: w**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8777516 to the nearest integer?\nAnswer: 2963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.544557892 rounded to five dps?\nAnswer: -0.54456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18\/5 in 44, 3\/5, -4, -13, 30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.63 + 4.77. Let m = y - 2.1. Let h = -3.335 + m. What is h rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (49*685\/6713)\/((-15)\/144).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 9*x. Let q(d) be the second derivative of 3*d**4\/4 - 13*d. Calculate o(q(y)).\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.209 + -0.157.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 814.584951 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -438660 divided by 5.\nAnswer: -87732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b - 12. Let o be d(-18). Suppose 5*h = 5*n - 22 + 2, -5*h + 16 = 4*n. Let r(l) = o + 4*l + h - 5. Give r(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*q**4 - 67*q**3 + q**2 + 164*q.\nAnswer: -72*q - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0062283278 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = l - 2*a - 40, 3*a = -l + 36. Let z(r) = -32*r + l*r - 63*r. Let f(c) = -c + 3. Let b(s) = s - 4. Let g(n) = -3*b(n) - 4*f(n). Give g(z(x)).\nAnswer: -47*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*a**2 + 5*a**2 - 13*a**2 to the form z + u*a**2 + s*a and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-1 - -5)) + 8\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 234 + -256. Let m(s) = -10*s + 32. Does 18 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 - 2*y**2 - 4*y + 3. Let t(v) = v**3 - 2*v**2 - 2*v. Let q be t(3). Let f be i(q). What is the closest to f in -5, -0.08, 0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-95)\/(2660\/588) - (3 + 7).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 8*p**2 + 14. Let r(t) = 3*t**2 + 4. Let w(f) = -2*k(f) + 7*r(f). Let g(j) = -7*j**2. Determine g(w(b)).\nAnswer: -175*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 316, 3, 5 in ascending order.\nAnswer: 3, 5, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 28.5332 millennia in months?\nAnswer: 342398.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 146975363?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -119854354*c**4 - 2*c**3 + 82418441*c?\nAnswer: -1438252248*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 9:17 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(12\/5*44\/(-132)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -68852.17 or -9?\nAnswer: -68852.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 - a**2 + a + 1. Let y(n) = -5*n**3 - 4*n - 4. Calculate -2*w(t) - y(t).\nAnswer: 3*t**3 + 2*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3054 + -3053. Is 146 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 32116597*k*m*z**4 - 151*k*z + 63068*m*z**2 - 7*m + 10*z**4 wrt z?\nAnswer: 770798328*k*m*z + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*c**2 - 2485*c - 9860.\nAnswer: -5*(c + 4)*(c + 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 1*((-1 + sqrt(3872))*-4 - (2*4*2*sqrt(200))**2).\nAnswer: -51197 - 176*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4\/83 + -210\/913. Let u = 2859 + -2864. Let h = 23558\/31 + -760. Which is the second biggest value? (a) h (b) j (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 55b (base 12) to base 13\nAnswer: 48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 - 10*q - 11. Let y be (6\/9)\/(20\/(-270)). Give a(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/300 and -61\/1560.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 122.6 + -122.2. Suppose 2*o + o = -9. What is the closest to 3 in x, -2\/7, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 610553401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -455 (b) -0.1 (c) -0.03 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 171*v**4 - 412*v**4 + 154*v**4 + 2*v**3 - 2*v**3 + v**4 + (-v + 0 + 0)*(1 - 2*v**3 - 1).\nAnswer: -84*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 2*u = -0*c + 79, -2*u - 4 = 0. Let m = -79 + c. Let k = 27 - 25. Put k, -7, m in descending order.\nAnswer: m, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -378022.31 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32510422.\nAnswer: 2, 7, 331739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -70, -3, 0.1 in descending order.\nAnswer: 0.1, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/12)\/((-132)\/(-704)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 222\/(-1665)*3\/(-4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4733431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.35 (b) -0.0439 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2550 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yo when two letters picked without replacement from viitoymvvv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Put 1, -3, -4\/5, -12\/37, 2 in increasing order.\nAnswer: -3, -4\/5, -12\/37, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 5*u + 5. Let c be x(8). Suppose s + s = 26. Let z = s - 4. What is the highest common factor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -341 - -1164616?\nAnswer: 1164255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 6:10 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 10\/(-6))*(-9)\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2, -17, -56, -121, -218, -353?\n\"Answer: -c**3 - 4*c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 - 10*x**2 - 57*x. Calculate v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 20 = 0, 23 = 4*k - 2*k - 3*j. Let i = -149 - -161. Solve 0 = -k*q + 4 - i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 - 29*w**2 - 64*w + 394. What is the least common multiple of i(-26) and (-7)\/(-3) - 4\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, o: 5, r: 1, v: 1, i: 1, g: 4}. What is prob of sequence igo?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-45)\/18*(6 + -12))\/(-9 + 8) + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 67 = -4*h + 53, 0 = -3*h - o + 90. Solve 72 = -14*q + h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*x**3\/2 + 14685*x**2\/2 + 29361*x\/2 + 14679\/2 = 0. Calculate x.\nAnswer: -4893, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24 + -23.63. Let v = 14.4 + -14.47. Let d = h + v. Which is the closest to 1? (a) d (b) -0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58412 divided by -3436?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(304)*-3)**2 + (sqrt(76) + 1*sqrt(76)*-2 + sqrt(76) + sqrt(76))\/sqrt(4).\nAnswer: sqrt(19) + 13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -109 less than -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2599*d*r**3 - 2*d*r**2 - 121*d*r + 123*d + 102769*r**3 - 4*r**2 + 13*r - 23 wrt r?\nAnswer: -15594*d + 616614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -q - 16. Let t be 4\/10 - (0 - q\/15). Suppose i + 3*a = 73, 6*i - 3*i + a - 243 = t. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 2.1. Let t = 0 - -0.1. Which is the closest to 1? (a) t (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -10*f**3\/9 + 34*f**2\/9 + 56*f\/3 - 8 = 0?\nAnswer: -3, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 756 and 190134?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = q - 3*j - 95, -2*q + j + 181 = 0. Let b = -175\/41 - -4535\/246. What is the common denominator of b and -3 - 3\/(-2) - q\/(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 242, 947, 1656, 2369?\n\"Answer: 2*s**2 + 699*s - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-62)\/(-93) + (273\/(-153) - -1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 2 = -6*s - x, -s + 10 = 5*x. Let l(w) = -5*w**2 + 2*w + s*w - 312 + 613 + w**3 - 308. Give l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*x + 2*x - x)*(-4*x + x - 2*x) to the form a*x + t*x**2 + f and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -3*z + 655, 0 = -2*z - 2*i + 476 - 36. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.23 + 390007.\nAnswer: 390006.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -8521 (base 11) in base 7?\nAnswer: -44606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 414139699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 152 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 4 + 2*k - k**2 + 0*k**2 - 3 + 2. Let f be p(3). Suppose -304 = -f*l - 4*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 7*z**3 + 5*z**3 - z + 5*z**3 + 0*z to the form d + n*z**2 + b*z + f*z**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssssssssssssssssssx. What is prob of sequence sxss?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 75873219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -11b354 (base 12) to base 3\nAnswer: -112200112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 300769 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26850126 is divided by 358001.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -18.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of s**6\/80 + 9*s**5\/160 + s**4\/32 - 3*s**3\/16 - 3*s**2\/8 + 7*s. Solve k(t) = 0 for t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 862701, 862703, 862705, 862707, 862709, 862711?\nAnswer: 862713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*p, -5*p = -0*n + 2*n + 547. Let i = 79 - -314. Let l = n + i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -562*t**5\/3 - 9956*t**4\/3 - 56770*t**3\/3 - 34104*t**2 = 0. What is t?\nAnswer: -7, -1044\/281, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/345024 and 103\/244392.\nAnswer: 5865408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.839002 millennia to decades.\nAnswer: 983.9002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 8 - 42 + c - 6 as p*c + a and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 429 and 8783775.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/63 and -43\/224252.\nAnswer: 2018268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of -o**4\/24 + 53*o**2. Let c(i) = 67*i. What is g(c(l))?\nAnswer: -67*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2013 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9048.658 milligrams in grams?\nAnswer: 9.048658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.71 - -1.71. Which is the second smallest value? (a) f (b) 5\/2 (c) 1\/3 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 29 + -17. What is the lowest common multiple of d and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 48*i. Let a be (221\/78 + -3)*12. Let r(k) = k. What is a*x(g) + 80*r(g)?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*v + 42*v = 434. Let k(s) = 4*s. Let x be k(3). Solve -4*z = -x, -v = 2*f - 4*z + 2*z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 958 = 5*o - 31814, -3*o + 6 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -415 + 3739\/9. Let o = 3.2 - 2.8. What is the third biggest value in r, -8, o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 560 = 6*y. Suppose l - y = -4*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -70649350 by 14129870.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r - 26 = -2*o, -2*o + 207 - 186 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 1 + 2)*(0*w + 0*w - w)*(-3 - 6 + 3) in the form n + m*w and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 97, -0.2, 2\/11, 3, 179, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 51540 divided by 3436\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b. Let m(r) = 26*r - 2. Suppose -2*y = -5 - 5, -5*q + 5*y = 340. Let z(s) = -805*s + 36 + 14 + 13. Let l(g) = q*m(g) - 2*z(g). Calculate d(l(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -83*w + 61*w + 2552. Solve 0 = -w*q + 121*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/(sqrt(18)*6)*2)**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 5 = -d + 22, 0 = d - 2*n - 27. Suppose -4*f + d + 3 = 0. Let c(u) = -2*u**2 + 22*u + 8. What is the remainder when c(10) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -13\/3, -1\/5, 0.3, 43\/377, 3 in descending order.\nAnswer: 3, 0.3, 43\/377, -1\/5, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 605 + k - 605 - 3*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a - 6. Let u(c) = c**2 + 5*c - 6. Let b be u(1). Calculate p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3343051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1132 (base 6) to base 9\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be -11 + 1 - 2\/(-2). Suppose 1 + 5 = 3*l, -l - 22 = 4*q. Let z = q - k. Solve z*a + 1 = 13 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 times -1557\nAnswer: -1557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 1080, 1089, 1108, 1143, 1200?\n\"Answer: p**3 - p**2 + 5*p + 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1334, -1358, -1380, -1406, -1442?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 10:24 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10464 or -10476?\nAnswer: -10476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1044 - -3312?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 302 is divided by 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is c9 - 43d?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -4061053.2 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -52, 2\/1063, -0.4, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1958 by 3.\nAnswer: -1958\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12628 + 12622. Let q(a) = 5*a**2 + 9*a + 1. Let m(s) = -11*s**2 - 19*s - 2. Give l*m(u) - 13*q(u).\nAnswer: u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i**15)\/(((i*i\/(i*(i**5\/i)\/i)*i)\/i*i)\/i*i))**1*i**(-1)*i\/((((i**(-2\/3)\/i)\/i)\/i)\/i)*i**4*i*i**(-6)\/i assuming i is positive.\nAnswer: i**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -11 + 1. Let b(m) = m**3 - 9*m**2 + 3*m + 6. Let u be b(8). What is the units digit of u\/(-8) + i\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -116053.576026 from 2.\nAnswer: 116055.576026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b = -6, -478*o - 6*b = 309*o - 786*o + 18 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4\/143 - -2\/11. What is the third biggest value in -1\/2, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7.88 - 407.88. What is the third biggest value in u, -4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5 + 17*d**2 + 2*d**4 - 19*d**2 - 2*d - 5*d**4 - 1 as s + g*d**3 + c*d**2 + l*d + j*d**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 56496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minutes before 12:28 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/61, 0.399, 92 in increasing order.\nAnswer: -2\/61, 0.399, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - -3. Suppose 5*f + 4*m + 14 = -26, -f - 32 = -r*m. List the prime factors of 2*3\/(-6)*f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 145 = -20. Let g be 1211\/346 + 2\/(-4)*1. Calculate the highest common divisor of w and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 - -8. Let r = -7 - 9. Let c = -10 - r. What is the remainder when c is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5\/42 or -142497?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 377 - 376.79. What is the closest to -2 in -3, 0.1, 2, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*m - 4 = 101 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -2*f - 1147*o + 1148*o, -f + 2*o + 26 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101011101000101 + -1110011000001?\nAnswer: -1111010000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 172 = 551*k - 1305 - 1278 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 62555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.7 + -0.4. What is the nearest to 1 in 1, s, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 13 = d, 2491*d = 4984*d - 2488*d - 85 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tjjttttmtmt. Give prob of sequence jj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14991, -15041, -15103, -15183, -15287, -15421, -15591, -15803?\nAnswer: -16063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -74\/39 - -16\/13. Let d = -1.86 + -0.14. Which is the second smallest value? (a) -1.6 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -0*a. Suppose -q + 0*q - f - 2 = 0, -5*q + 4*f + 8 = a. Suppose 5*t + 5*n - 70 = q, -2*n - n = 0. Calculate the remainder when 27 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(7) + 1 + -5 + -3 + -2 + (0 + sqrt(343) - sqrt(343) - sqrt(1512)\/sqrt(6)))**2.\nAnswer: 90*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 688\/7*t - 346\/7*t**2 - 136\/7 + 18\/7*t**3.\nAnswer: 2*(t - 17)*(t - 2)*(9*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 2 + 4127481986*r**2 - 4127482059*r**2.\nAnswer: -73*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*r - 67 - 67 = 0. Let v = -1 + 7. Suppose 0 = r*y - y - v. What is the lowest common multiple of 15 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6215316 + -35434271. Let l be h\/(-6) - -2*3\/36. Let t = 17330174 + l. Round t to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 348987 is divided by 12034.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 21310244 to the nearest 10000.\nAnswer: 21310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11171.\nAnswer: 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 57075680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 - 11. Let x(r) = 3*r**3 + 4*r + 5. Let g(z) = -2*z**3 - 3*z - 4. Let w(p) = l*x(p) - 4*g(p). Differentiate w(h) with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (-20 + (10 - -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 19579, 37386, 55191, 72994?\n\"Answer: -y**2 + 17810*y + 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = -h - 2477*g + 2473*g - 9, -3*h - 2*g - 43 = -0*g for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 4 - 9, 3*o + 426182 = -5*q. What is o rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-504)\/5 + 2\/(-10). Suppose 0 = -13*o + 21*o + 1416. Let t = v - o. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -93317 + 454?\nAnswer: -92973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -2*z**3 + 6*z**2 + 2*z. Let n = -11 + 8. Let h(q) = -q**3 + 5*q**2 + q. Determine n*d(u) + 4*h(u).\nAnswer: 2*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 1 + 3 + 0 + 5*n + 9436*n**2 - 1 - 9449*n**2.\nAnswer: -13*n**2 + 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 - 5 = 3*x. Let m be 16\/10 + x\/(-30). Solve -2*f + 2*i = 3*i - 7, -f - 4 = -m*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of -4853*h**6\/60 + h**4 + 39*h**3 - 12348*h**2. What is the second derivative of p(a) wrt a?\nAnswer: -58236*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 62180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (26 + 55 - 1036*v**2 - 83)*(v**3 + 1 - 1).\nAnswer: -1036*v**5 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrvv when four letters picked without replacement from roooovurvvopo?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001484298 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 5*u + 368 = 0. Let x = 61 + -126. Let p = x + u. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2673238 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -466269 divided by -12.\nAnswer: 155423\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10211 - -10211.5. Sort -0.461, c, -1.\nAnswer: -1, -0.461, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 555 + 2?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -854925 or -854932?\nAnswer: -854925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 3 (c) 10 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = -982 + 1022 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 873 + 869 - s - 1740.\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-16)\/28)\/((144\/(-28))\/6). Let i = 0.2 - 0.5. What is the second smallest value in -2\/15, q, i, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249128332 to the power of 1\/2, to the nearest integer?\nAnswer: 15784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 10725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 15 = 4*j. Suppose -2 = q - j*f, 0 = 2*q + 4*f - 0 - 46. Solve 5*k - 4*b + 12 = -9, 5*k + q = 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 352 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -350633292*p - 497329619 with respect to p.\nAnswer: -350633292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of r**6\/135 + 7*r**5\/6 - 107*r**4\/18 + 323*r**3\/27 - 12*r**2 + 144*r - 1. Suppose a(b) = 0. What is b?\nAnswer: -108, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u + f + 5 = 0, -f + 10 = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/7)\/((-4)\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 5:54 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 - 2. Let p(y) = -2*y**2 - 3. What is 3*g(t) - 2*p(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 126531079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the third derivative of z**6\/120 + 7*z**5\/60 - 19*z**4\/24 - 8*z**3\/3 + 82*z**2 + 21*z. Calculate o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/6*(-30)\/5. Let k be -2 + a\/((-60)\/(-56)). Sort k, 1\/3, -2.\nAnswer: -2, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 29575*j**5 - 27205*j wrt j?\nAnswer: 591500*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -3*g**5 + g**4 - g**3 - g**2 - 4. Let q(h) = -h**4 + h**3 + h**2 + 1. Let b(l) = 4*q(l) + u(l). Let b(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7db3a (base 16) in base 12?\nAnswer: -209b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -110234*x + 109447*x = 50368 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*m + 4 + 13 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/3, -1, -0.15 in ascending order.\nAnswer: -5\/3, -1, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1696 + -1385. Calculate the remainder when s is divided by 108.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l**3 + 7623*l**2 + 4434597*l - 528747423 = 0 for l.\nAnswer: -1321, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(-5) - (-342)\/95. Let o be (0 - -1)*(-3 + p). Let w(q) = -q**2 - 15*q + 15. Let n be w(-15). Solve -6*v + 3*v - n = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.3 (b) -0.77 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes after 12:07 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 + -147\/5. Suppose 0 = 2*o - 6*o + 4. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 87*p - 672. Let u(z) = z**2 - 175*z + 1345. Let r(c) = -3*u(c) - 5*x(c). Find b such that r(b) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22\/2080939 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 - 12*r**2 + 2*r - 6. Let v be x(12). Calculate the common denominator of -55\/16 and (105\/v + 0)*(-1)\/5.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -44 + 20 + 11 + 11 + 11 - 821*r**2 to w + a*r**2 + j*r and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -401 - -404. Let w be 0 + 17 + (-3 - n). Let t(s) = 13*s**2 - 7*s + 3. Let r(a) = -7*a**2 + 4*a - 2. Determine w*r(v) + 6*t(v).\nAnswer: v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5965.\nAnswer: 5, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 - -76. Let j be (-8)\/60 + o\/15. Suppose 294 = 2*g + j*g. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0 - (447 - 3)\/(-3). Let g = 351 - d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.80634l to millilitres.\nAnswer: 91806.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -167.039 + 167. Let w = n + 0.039. What is the second smallest value in 2\/9, -2.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -6 + s + 1 - 1 + 2. Let d(g) = g**2 - 3. Let a(c) = -c + 14. Let r be a(11). Let x be d(r). What is y(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7151763*h**2*j - 3943183*h**2 wrt j.\nAnswer: 7151763*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xc when two letters picked without replacement from {x: 1, z: 1, c: 5, g: 3}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 3851, 16758, 38305, 68522, 107439, 155086?\n\"Answer: 5*v**3 + 4290*v**2 + 2*v - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/3 - 2193596*s - 6580794.\nAnswer: 2*(s - 3290397)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -26*n + 59. Let l(s) = -13 - 231*s - 7 - 242*s + 726*s - 244*s. Give 6*k(v) + 17*l(v).\nAnswer: -3*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2 = k - 3*k, -k - 2 = 0. Let b = -15 + 19. Suppose -5*v = -5*y + 10, 3*v - b*v - 2*y - 8 = 0. Put v, t, 4 in decreasing order.\nAnswer: 4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((-5 + sqrt(100)\/sqrt(5) + sqrt(20) - -1*(1 + sqrt(20))) + 5))**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 220782882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/11 + ((-720)\/(-165))\/(-12). Which is the closest to -0.1? (a) 0.1 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40638, -40669, -40700, -40731?\nAnswer: -40762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n - 531 = -z - 525, -22*z + 499 = 40*z + 3*n for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**3 + 172*p**2 + 1938*p - 83232.\nAnswer: 2*(p - 16)*(p + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**3 + x - x)*(2*x**2 + 0*x**2 - 3*x**2) + 0*x**4 + 0*x**4 + 4*x**5 + 2*x**5 - x**5 - 2*x**5 + (-5*x + 5*x - 2*x**2)*(4*x**3 + x**3 + x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 t when four letters picked without replacement from aqtqaatrarqqqartaq.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/(-6))\/(14\/(-21)). Let v be (z - 3)*(-1)\/2. Is 13 a factor of 13*(v + 2 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -191442792812+-0.5\nAnswer: -191442792812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the second derivative of -m**4\/4 + 107*m. Let u(l) = -67*l + 1. What is i(u(g))?\nAnswer: -13467*g**2 + 402*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -139 - 25 = 41*m. Let x(k) = k - 10. Let o(j) = j - 11. What is m*o(v) + 5*x(v)?\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (61\/((-549)\/414))\/2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 - 2*b - 2. Let h be k(-2). Let o(c) = -8*c + 5. Let g(u) = u - 2. Let p(w) = 3*g(w) + o(w). Determine p(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 PM and 7:26 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes after 12:17 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = 33*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - -1. Suppose -13 = -3*k + u. What is the lowest common multiple of k and 5 + -2 + (-1 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 3*g - 16*i + 20*i, 4*i = 3*g - 31. Which is the second smallest value? (a) 37.3 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 318368655?\nAnswer: 3, 5, 11, 19, 33851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -179, -712, -1559, -2684, -4051, -5624, -7367?\n\"Answer: 6*x**3 - 193*x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, 9.21, -15?\nAnswer: 9.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(1*sqrt(98) + -1))**2.\nAnswer: -224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 12*n**3 - 3*n**2 + 388*n - 1782. Calculate b(5).\nAnswer: 1583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/4? (a) -2\/3145 (b) 5 (c) 81.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 * 196\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 57.98655 centuries to decades.\nAnswer: 579.8655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 8. Suppose -y = -0*y - 5. Let j be (-2 + 2)*(y + -6). Which is the biggest value? (a) -3 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -3*l**2 + 2. Let j = -72 - -61. Let a be -10 + 15 + 2 + j. Let r(b) = -8*b**2 + 6. What is a*r(u) + 11*p(u)?\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 703368329 to the power of 1\/2, to the nearest integer?\nAnswer: 26521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**2*i*i)\/i)\/i*i\/i**(-8))**(-23) assuming i is positive.\nAnswer: i**(-253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 + 0.2. Let o be (-168)\/(-30) - (-6)\/(-10). Let b be ((-2)\/o)\/((-28)\/10). Sort t, b, -4\/7 in decreasing order.\nAnswer: b, t, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 + 1)*(-h + 3*h + 0*h)*(-4 - 2 + 4)*(11*h + 6*h - 8*h) to the form t*h**2 + n*h + p and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -4, -1\/1193, -0.2?\nAnswer: -1\/1193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 PM and 6:59 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put together -62381157 and -0.1.\nAnswer: -62381157.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -23 times -4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -113\/1292 and -115\/321096?\nAnswer: 6100824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1064 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g + 10 = -14*g - 14. What is the nearest to -8 in 39, -0.3, 1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*k**2 + 0*k**2 - 4*k**2)*((3*k - k + 0*k)*(-5 + 3 + 1) + 9*k + 5*k + 0*k + (0*k + 3*k - 2*k)*(-5 + 0 + 3) + 0*k + 2*k - 3*k + 2*k - 3*k + 0*k).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1572015 * 0.1\nAnswer: 157201.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 11 = 2*r, 5*d - 4*r - 14 - 5 = 0. Let y(s) = 2 + 2 - 5 + 4*s**3 + 2*s**d. Suppose -7 - 7 = 5*p - 3*z, -3*p - 4*z + 9 = 0. What is y(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 66206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 15*r**3 + 60*r**2 - 240*r + 320. Let q(o) = o**3. Let w(u) = b(u) - 20*q(u). Factor w(l).\nAnswer: -5*(l - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**5\/60 + b**4\/3 - b**3 + 2*b**2. Let p be v(5). Suppose 3*o + 0*o - p = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 0.17, 127, -10?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 3*m**3 - 10*m**2 - 10*m - 721. Let x(s) = -2*s**3 + 8*s**2 + 8*s + 721. What is -5*x(r) - 4*y(r)?\nAnswer: -2*r**3 - 721","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2*h + 145 = -5*w, -5*h - 4*w = 320. Let v = 61 + h. Suppose -12 = -2*a - 0*a. Calculate the lowest common multiple of v and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*c**3*n**3 + 2*c**3 - 2*c**2*n**3 - 35*c**2*n**2 - 3*c*n**3 - 855*c*n**2 + 127*n**3 wrt n.\nAnswer: 18*c**3 - 12*c**2 - 18*c + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 296*p**5 - 364*p**2 wrt p.\nAnswer: 17760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z**3 - 7*z**2 + 13*z + 35. Determine a(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -91672 rounded to the nearest 100?\nAnswer: -91700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -6478 divided by 41?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.29 + 0.29. Let b = -6 - -8. Let p = 5.08 + -0.08. What is the nearest to 0 in p, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -13*o**2 + 3*o + 3. Let u(c) = -c**2 + c + 1. Determine -3*u(f) + w(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -m + 52, -2*p - 5*m + 0*m + 30 = 0. Suppose 2*q - p = 2. What is the third derivative of -v**2 + 2*v**6 + 0*v**2 - v**q wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + (-8 - (-27 - -30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*v**2 + 4*v**2 + 3*v**2)*(6 - 6 - 8*v)*(-308 + 170 - 414) in the form h*v**3 + y*v + w + x*v**2 and give h.\nAnswer: 22080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -3*g. Let z(i) = -i**2 - 2*i + 5. Let n be z(3). Let k be n\/15*(-13 - 2) + -3. Let v(b) = 21*b - k*b + 2 - 2. Determine x(v(r)).\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19036?\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 61 = 4*l - 3*g - 31, 15*l = -17*l - 3*g - 236 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 99583, 199166, 298749, 398332, 497915?\n\"Answer: 99583*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 + 32\/(-12))*(-2)\/4. Let m = 54.078 + -0.078. Let q = m + -60. What is the fourth smallest value in t, 0.2, q, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l**3 - 18\/5*l**4 + 24\/5*l + 8\/5 - 4\/5*l**5 + 2*l**2 = 0. What is l?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 19*y + 14585, 3*y = 11 - 26. List the prime factors of z.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*1*sqrt(187)\/sqrt(11)*-6 - (((sqrt(1700) - (-2 + sqrt(1700)))*-2)**2 + -3).\nAnswer: -13 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) be the first derivative of -375*k**4\/4 + 633*k + 786. What is the derivative of h(w) wrt w?\nAnswer: -1125*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -70*i. Let p(x) = 4983*x**2. What is o(p(q))?\nAnswer: -348810*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1416820 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 10) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 102437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {y: 2, e: 1, t: 2, c: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 294 + -292. Solve -d - 13 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 698.7177 minutes?\nAnswer: 11.645295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60262411 is divided by 1843?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(252) + -3 - sqrt(252)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-1\/11)*w)\/(w\/w**(3\/19))*(w\/(w*w**4))**(-3) assuming w is positive.\nAnswer: w**(2522\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) -1\/6 (b) -0.0107 (c) 1\/7 (d) 14 (e) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x**4 - 47*x**4 - 6*x**4 + 17*x**3 - 17*x**3 + 9*x**4 + (2*x**2 + x**4 - 2*x**2)*(-2 + 4 + 0) + 2*x**3 + x**4 - 2*x**3.\nAnswer: -44*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (21 - 1489)*(-1)\/4. Let a = -236 + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -358*g**2 + 118*g + 232. Give h(-2).\nAnswer: -1436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -125547015202\/45464089 - 2\/4133099. Let n = k - -5533\/2. What is the common denominator of n and 23\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 7 + 105\/(-14) - (-210)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 27.6 - 27.60234. Round b to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 44.6 - -110.5. Let f = o - 155. What is the closest to f in -3, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/6 + 104\/12. Let t = d + -6. Let q = -4 + t. Which is smaller: -2\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -m**3 + 13*m**2 - 8*m - 40. Suppose 0 = -3*r + 4*k + 44, 0 = 2*r - 2*k - 45 + 17. What is the remainder when 69 is divided by h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.944 - -0.056. Which is the third smallest value? (a) -0.2 (b) v (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.1610413 to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 4 (b) -2 (c) 2 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -9 - 7a5?\nAnswer: -7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 + 4 = 5*u. Suppose -4*k + 4*q = u, -16 = -2*k - 6*q + 3*q. Let p(b) = -4*b + k*b - b. Let t(v) = -v. What is t(p(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7641 - -587. Let q be h\/984 - 0\/2. Let p = q + 10\/369. Calculate the common denominator of p and 81\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8887.\nAnswer: 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 minus 0.03841?\nAnswer: -0.33841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-144)\/(-45) - 3\/15. Solve -14*c - l = -15*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by -24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1182*u + 463*u + 31953 + 391 + 20296 = 0 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 59652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 + 26*q**2 - 2*q - 30. Determine z(-26).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-18) - 2360\/(-72). Suppose 3*h = 3*f - o, -f - 3*f + h + 53 = 0. Suppose -f + 34 = 4*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 7*d**2 + 0*d**2 - 2*d**2. Let s(n) = 39*n. Let p(j) = -23*j. Let a(y) = -12*p(y) - 7*s(y). Calculate a(u(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, j: 5, f: 3}. Give prob of sequence ffj.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 6*y = 3*k - 28, 2*y - 10 = 0. Let z(d) = -2*d - 5. Let l = 3 - 3. Let b(m) = m + l*m + 2 - 1. Calculate k*z(q) + 3*b(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 17*m - 55. Let k(n) = -17*n + 33. Let v(i) = 7*g(i) + 6*k(i). Determine v(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 7, i: 3}. What is prob of sequence qq?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 31 - 15. Is 7852 + (-3*t\/12 - -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = s - 2*v, -2*s + 2*v + 18 = 2*s. Let c = 45928 - 45918. Solve -c = s*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 132 + 152. Suppose 48879 = 293*n - h*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = 7*q - 13*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 + -32. Let f be ((-2)\/(-6))\/(i\/60). Put f, -3, -2 in increasing order.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, 0.198, 11\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11716 and 267264?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2 + 4\/((-8)\/(-2)). Let d = 7 + -5. Suppose a - 3*a + d*p = 8000, 0 = -2*a + k*p - 8000. Round a to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 35 = n, 5*j + 2*n + 2*n = 41. Suppose 3*b - 16 = -3*c + 2*c, -b - 18 = -2*c. Let q be 5\/(c\/(-4)) + 11. Is j > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the second derivative of i**6\/360 + i**5\/120 + i**4\/4 - i**3\/6 + 2*i. Let x(n) be the second derivative of s(n). Suppose d = -2*d. Determine x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (28 + (-16137)\/528)\/((-6)\/96).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3231 - 3185. What is the greatest common factor of z and 22747?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1334 - (-7)\/((-56)\/(-96))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 179, 447, 699, 929, 1131, 1299, 1427, 1509?\n\"Answer: -y**3 - 2*y**2 + 281*y - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 178148.\nAnswer: 2, 44537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 17737 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9906 and 897.\nAnswer: 227838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -34*f + 11*f - 56*f + 8*f to the form z + k*f and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-3179)\/(-297) - 12 - 0 and 91\/684?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 419 - 296093?\nAnswer: -295674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1380 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -m + 10. Suppose -4*c + m = -c. Suppose c + 81 = 3*y. What is the highest common factor of 196 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/(-2) - (-8 - -11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -4*s, 5*x - 9*s = -7*s - 667. Let z = x + 185. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2. Let d = 2 - 0. Let y be (-35)\/(-11) - (-2)\/(-11). Let o(t) = y*t**2 + d*t**2 - 4*t**2. What is o(g(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -173 - -174.075. What is v rounded to 2 decimal places?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (91\/(-14)*(-32)\/416)\/((-8)\/1168).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 14 + 2 = 0, -2*z + 5*u = -8. Suppose -42 = 12*m - z*m. Suppose 10 = -16*j + m*j. Solve -r - 6 = r + j*s, -2*r + 5*s = 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/64, 3\/4, 753\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2 - (-234)\/140 - 48\/672\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32298859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.08 and -65.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*l**2 - 4*l**2 - 3*l**2)*(38 - 14 + 32) + (2*l**2 - 7*l**2 - 3*l**2)*(1 - 2 - 1) to s*l**2 + z*l + a and give s.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 56290 (base 10) in base 6?\nAnswer: 1112334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(8\/((-8)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 722482*-0.07.\nAnswer: -50573.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -3502 and -0.183.\nAnswer: -3502.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p + 99 = 12*p. Let n be 6\/p - (-10)\/(-55). Solve -5*v - k = 8, 2*v = 3*k - n*k + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 389318257?\nAnswer: 1597, 243781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**4 - h**3 + h**2 - h. Let o(j) = 137*j**4 - 2*j**3 + 2*j**2 - 2*j - 904. Let k(d) = 2*i(d) - o(d). Differentiate k(m) with respect to m.\nAnswer: -556*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 11*1 + (-110)\/10. Let k be 2*(-6)\/(-4) + (-2 - -4). Solve w = -f + k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(5 + -1*sqrt(1216))*1.\nAnswer: -5 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 326*d + 463*d + 496*d + 56*d as z*d + w and give z.\nAnswer: 1341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add 9302 and 10.5584489.\nAnswer: 9312.5584489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 186 and 1054.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 528331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*((-4 - 5\/(-25)) + 4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8960 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -455, -456, -457, -458?\n\"Answer: -s - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6825\/(-1300))\/(-4*(-51)\/2992)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 194*z**2 + 200*z**2 - 591*z**2 + 197*z**2 - 185*z**3.\nAnswer: -185*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -43, -2\/3, -1, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 269725 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*u + u - 75. Suppose -5*d - 604 + 93 = -2*i, -d - 89 = 4*i. Let m = d + 143. Calculate the remainder when m is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -4730, -4687, -4644, -4601, -4558?\n\"Answer: 43*h - 4773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -37.57 - -230.6. Let x = -191 + i. What is x rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0476959523 rounded to 4 decimal places?\nAnswer: 0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5882955285 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -79, -109, -137, -163?\n\"Answer: a**2 - 33*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iiiiiiiii. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (u**2 + u**2 - 3*u**2)*(-3 - 5*u + 0 + 0).\nAnswer: 5*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3133 less than or equal to 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 20 = -0*t. Suppose 2*b = t*b - 12. Suppose -58*r = -76*r + 180. Calculate the remainder when r is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 2*i = 0, 3*y - 3*i = i. Which is the nearest to y? (a) 11 (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 2:13 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14202?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 13*v - 45 = 0. Sort -2, 2, 3, v.\nAnswer: v, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - r + 21 = 0, -13*w - r = -16*w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the third derivative of m**4\/24 - 5*m**3\/6 + m**2 + 2*m. Give j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + 3. Let y = 1 + k. Find the second derivative of -m**4 + y*m**3 - 2*m**3 - 2*m wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 34a - 3?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.04 + -4.04. Let s = 3 + -2.8. What is the third biggest value in 5, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:57 AM and 12:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 39*g + 310. Is o(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -9*o + 10. Let g be a(5). Let h = -36 - g. What is the common denominator of -97\/2 and (-195)\/48 - (-3 - h)\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p - 546 = 534. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwwwiw.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -21931.43 and 5.\nAnswer: -109657.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3*15659047.\nAnswer: 4697714.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22578496, 22578498, 22578500, 22578502, 22578504?\nAnswer: 22578506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21.5 - -22. Which is the closest to -1\/3? (a) -0.1 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -115 + 131. Suppose 0*a = 2*j - 3*a - d, 0 = -3*j + 4*a + 23. Solve j*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81241072.\nAnswer: 2, 11, 79, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 503274179 to the nearest integer?\nAnswer: 22434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.24, -0.4, -92?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 5*v + 60, 0 = 3*h + 5*v + 17 + 63. What is the units digit of (-25)\/h + 2894\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*g = 26*g + 85. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -25 + 53 - -41 - (-11 - 6)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 11 (b) -5 (c) -2\/3 (d) 0.4 (e) 143\/6 (f) 1\/3 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 430279*b**2 + 277636 with respect to b.\nAnswer: 860558*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(-37)*(u\/(u\/(u\/(u*u**(-1\/6))*u)*u))\/u*u**(-1\/2)\/(u\/(((u**(-1\/47)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(4603\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 342 minutes after 7:34 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8, 470, 10.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - 5*p**2 + 17*p - 32. Let t be z(3). Determine k, given that -k**3 + 7\/3*k + 2\/3*k**4 - k**2 - t = 0.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 6 - -6b65?\nAnswer: 6b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -15730.\nAnswer: -1\/15730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - r - 97 = 4*r, 4*r - 21 = -l. Let x = 29 - l. Suppose 8*d - 4*d - 40 = x. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -44495 by 5.\nAnswer: -8899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 6\/5, 0.41, 24, 3\/5, 1663?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 - 2*f - 46. Let a be m(7). Let t(q) = -7*q**3 - 5*q**2. Let d(y) = -1 + 1 + 2*y**2 + 7*y**2 + 13*y**3. Determine a*t(g) - 6*d(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:45 PM and 5:04 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ihhhhchhhhchih. Give prob of sequence ihhh.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 198 - 198 - i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 1 r, and 1 j when three letters picked without replacement from {n: 1, r: 2, t: 1, l: 1, u: 1, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -2*m - 14. Let y be w(0). Which is smaller: -16 or y?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -7*a - 39. Let w be s(-6). Suppose 179 = v - 4*d, -2*v + 5*d = w*v - 835. What are the prime factors of v?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than -118\/2003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*((f*f**(-2)*f)\/f)\/f)**(-50)*f**(-10)\/(f**(-12)\/f*f*f) assuming f is positive.\nAnswer: f**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*g = 47*g - 7. What is the smallest common multiple of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - 2. Let y = v + -6. Is -3 - (-39 - (-2 + y)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 2*n**3 + 22*n**2 + 2*n + 26. Let q(w) = -w**3 - 11*w**2 - w - 13. Let z(c) = -13*q(c) - 6*x(c). What are the prime factors of z(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 15\/(-9)*(-9 - 3). Let y be r\/6*(-24)\/20. Let j(o) = -28*o - 4 + 17*o + 17*o. Let m(u) = u - 1. Determine y*m(v) + j(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-1 + sqrt(637))*5)**2.\nAnswer: -12600*sqrt(13) + 574200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 384.69 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = 2*s + 21. Let a(r) = r - 20. Let p be a(0). Find the common denominator of s and 231\/p*(-6)\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -185650.655 to the nearest 10.\nAnswer: -185650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 5*n - 48. Let m be (170\/(-4))\/5 + 45\/30. Let y be i(m). Calculate the greatest common divisor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(119)\/(-1*sqrt(252)).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.056041248 - 0.401492\nAnswer: -0.457533248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36233843 is divided by 18116919.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52996 is divided by 578?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28407 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 356993 divided by 27461\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7 - ((-1)\/(-2) - 1\/(-2)). Suppose 11 = t + u. Suppose 2*q - t*q + 387 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/((-3)\/2))\/(36\/84*(-1204)\/(-5160))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 4 + 1075*c - 1074*c.\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 4*4*5\/480\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1574, 3200, 4876, 6602, 8378, 10204?\n\"Answer: 25*j**2 + 1551*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**3 + 4*i**2 - 136*i + 224.\nAnswer: 4*(i - 4)*(i - 2)*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2315 + 2315 - 4631 - 199*g)*(-9*g + 0*g + 11*g).\nAnswer: -398*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*p - 2 + 2)*(2 - 3 - 1)*(-11*p + 21 - 21)*(-6*p + 3*p + p).\nAnswer: -132*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3359, -3362, -3367, -3374?\nAnswer: -3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 + l**2 - l - 1. Let p be h(-1). Let t(k) = -4*k - 137. Let g be t(-33). Put p, g, 2 in descending order.\nAnswer: 2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15.2 - -2.2. Let b = -12.9 - s. Let l = 9435 + -9431. What is the nearest to -7 in 3, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/(y**(-7)\/y)*y*y**23 assuming y is positive.\nAnswer: y**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -65*x**3 + 330*x**2 - 25*x.\nAnswer: -5*x*(x - 5)*(13*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*o + 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12 - 1752*w**3 - 1750*w**3 - 12 + 6987*w**3 - 1739*w**3 - 1741*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-34)\/(-4182)*6 - (-435)\/(-4715).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 + w - 27. Let b be n(-5). Let z = -147 - b. Solve 5*f - f + 25 = j, z = -2*j - 4*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u - 2*u + 9*u)*(-666*u + 383*u + 441*u).\nAnswer: 632*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -173 - 554. Let l = 17 - n. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3396, -6791, -10186?\nAnswer: -13581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from poapppo. Give prob of sequence po.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d - 4 + 4 + (-2 - 2 + 2)*(-3*d - 2*d + 4*d) + 2*d + 2*d - 5*d + (2 + 3 - 8)*(43*d - 18*d + 8*d).\nAnswer: -100*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 33 + (-35 - -29) + 1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3584642 and 2980?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -23*a - 315. Calculate p(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(288) - (sqrt(288) - (sqrt(288) + 1))) + sqrt(288))**2.\nAnswer: 720*sqrt(2) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2 from -4078239535362.\nAnswer: -4078239535360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-7)\/p**(3\/7))\/(p**(2\/7))**(24\/7)*p**(-2\/3)\/p**(-3\/4)*(p**1\/p)**(-43) assuming p is positive.\nAnswer: p**(-4895\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l*l**(-1\/4)*l**(-14)\/l assuming l is positive.\nAnswer: l**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 470 is divided by -695*(-2)\/12 - (-29)\/174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -561 divided by -214167\nAnswer: 187\/71389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhhhhhhhmhhhhhhhmh. What is prob of picking 2 h?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 126 = -3*w, -5*w = 8 - 18. Calculate the remainder when 401 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7432*y**2 - 7061*y**2 + 13389*y**2)*(2*y**2 - y**2 + 0*y**2).\nAnswer: -1104*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 10 + -3. Suppose 2*f + g = 3*f. Suppose n + f = h, 0*h - 5*n = -h + 7. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -26\/847127 and -61\/24?\nAnswer: 20331048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-6)*117\/52*2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5 or -50685859?\nAnswer: -50685859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m**(3\/2))\/(((m\/m**(-1\/5)*m)\/m)\/m)*(m*m\/m**(3\/5))\/m*m\/m**(-5)*((m**(-1))**(-12\/5))**(1\/3) assuming m is positive.\nAnswer: m**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times -0.053?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -25.5 - 7.5. Let y = -31.3 - z. Let j = y + -1.6. Which is the third smallest value? (a) 4 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 35888 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.7 (b) -2 (c) -0.17 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -k**3\/6 + 731*k**2\/6 - 103843*k\/6 + 718275\/2 = 0.\nAnswer: 25, 157, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the first derivative of 14*i**3\/3 - 2*i + 16. What is the derivative of y(n) wrt n?\nAnswer: 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 1 + 4*k + 1 - k**2 - 1. Let l be f(3). Suppose 0 = l*a + a - 90. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2725668150.\nAnswer: 2, 3, 5, 18171121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 52315.83km in centimeters?\nAnswer: 5231583000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 74 and 34271990.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 109.2 at most as big as -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2*f - 1)*(-3*f + 2*f + 0*f) - 2077*f**2 - 677*f**2 - 20*f**2 as x*f**2 + n + u*f and give x.\nAnswer: -2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 4\/9 (b) -1\/4 (c) -0.022257 (d) 0.1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1559.9 + 7731.4\nAnswer: 6171.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 78.08 - 78. Let m = 10 - 6.8. Let y = m + -3.3. Which is the nearest to s? (a) 0 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-64)\/392)\/(-6*(-1)\/(-21)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9039\/393*2\/(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -20562410 plus -3488.4?\nAnswer: -20565898.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -2*w**2 - w**3 + 10 + w + 6*w**2 - 3*w**2. Calculate d(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 431613 is divided by 4497?\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -2*f**3 - 30*f**2 - 78*f - 55. What is the smallest common multiple of -1*(-10)\/(-4)*-4 and a(-12)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -117\/2? (a) 1 (b) 14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22629.\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(1539) - (sqrt(1539) + -2)*1)**2 + -3 + (3 + sqrt(1539)*2 + (sqrt(1539)*1 - sqrt(1539)) + 2)**2.\nAnswer: 180*sqrt(19) + 6179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*z = 28 - 64 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*c**2*g**2 + c**2*g + 10*c*g**2 - 35642*g**2 + 771*g - 1676 wrt g?\nAnswer: -16*c**2 + 20*c - 71284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -54*j - 5876. Give b(-110).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.05659993 * 5.\nAnswer: -0.28299965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 750 and 9238275.\nAnswer: 92382750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**3 + 39*y**2 - 168*y - 85. Is j(-56) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6*4\/18)\/(((-68)\/27)\/(-34)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -105\/22 and 61\/78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (110*l + 1819*l + 394*l + 1090*l)*(3*l**2 - 3*l**2 - 2*l**2).\nAnswer: -6826*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((0 + sqrt(13) + sqrt(13) + 3 - (sqrt(91)\/sqrt(343))**2) + (2 + (sqrt(1872) - (sqrt(1872) + -1 + -3)))**2)*-1.\nAnswer: -1653\/49 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-10)\/g*g**(-1\/5))**(-6\/13)\/(((g*g\/(g\/(g\/(g\/g**(2\/3)))*g))\/g)**(-34)\/(((g*g**3)\/g)\/(g\/(g*g**(1\/6))))) assuming g is positive.\nAnswer: g**(-1169\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(286)*2 + sqrt(286))\/sqrt(11))\/(sqrt(2) - -6*sqrt(6)\/sqrt(3)).\nAnswer: 3*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1\/2))**(-5\/17)\/(f**(-3\/4)*f**(-2)) assuming f is positive.\nAnswer: f**(197\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) -12 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3*4\/(-2))\/(-2). Let c be (120\/g)\/4 + -1. Let q = c + -5. Solve q*l - 12 = 0, -y + 6*l = 3*l + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22 - -367. Let t = 647 - g. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 386*n = 95*n + 1 - 1. Solve 7\/2*r - 1\/2*r**2 + n = 0 for r.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -4\/5253 and -73\/309?\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -33.7 * 382\nAnswer: -12873.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/13)*(s\/(s\/((s**(1\/16)\/s)\/s))*s*s*s*s)\/s)\/((s\/s**(-31))\/s*s*s**(-2\/5)*s) assuming s is positive.\nAnswer: s**(-32879\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 9*n. Let s(y) = y + 3*y - 3*y - 2*y. Determine s(k(b)).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g**2 - 44*g**3 - g - 2 - 75*g**4 + 73*g**4 - 39*g**3 + g in the form q*g + r*g**2 + u*g**4 + z*g**3 + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*l**2*q - 8*l**2 + 707*l - q**2 + 1452*q wrt q.\nAnswer: -4*l**2 - 2*q + 1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 27 = 3*h - 2*h, 0 = -5*h + 2*p. Suppose 1234 = 5*w - h*m, w = 10*m - 6*m + 254. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 21*b**2 + 17*b + 350. What is the thousands digit of i(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 67803848?\nAnswer: 2, 7, 172969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 h, 1 r, and 1 p when four letters picked without replacement from qrdqphpa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*s - 12, 4*s = p - 6*p - 2. Suppose -3*m - 9 = j, p*j + 5 = -5*m - 9. Solve 0 = -3*z + 9 - j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 + -25. Is (-14)\/(-4)*14 - b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9966 is divided by 4953.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 2*i**2 - 11*i - 3. Determine j(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 7*-3 + (-11 - -10). Let s = 19 - y. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12841? (a) 0.19 (b) -5\/6 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -3*o. Let a(k) be the first derivative of k**3 - 7. Determine u(a(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 20*6*8\/(-96)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.027 take away 10?\nAnswer: -10.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-16)\/56*-14*(-4)\/(-8). Suppose -x*m = -2 - 2, -2*m - 2208 = -4*b. List the prime factors of b.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 * 0.423\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*q**3 - 1400*q + 1400*q.\nAnswer: 78*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 795 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-4\/7))**(-34) assuming b is positive.\nAnswer: b**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 195040070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 151*h**2 - 23669 + 23669 to the form t*h + w*h**2 + s and give w.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(16)\/sqrt(2))\/sqrt(4)*-5.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-1)*17*(-88)\/(-1122)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*f - 356 - 2*f + 354 + 36*f**2 to c*f + o*f**2 + p and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5*x + 2)*(-3 + 3 - 2*x**2).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/7*m**3 + 2\/7 + 4\/7*m**2 + 5\/7*m.\nAnswer: (m + 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-372)\/124)\/((-8)\/(248\/(-3))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -54*t + 373. Let v be x(7). Which is the nearest to v? (a) 4 (b) 5 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -1\/3, 5, -131?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 + 19*z**2 - 20*z. What is k(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 3528*v + 2650. What is the hundreds digit of c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -149\/149076 and -127\/331280.\nAnswer: 2981520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 277\/11 - (-20)\/(-110).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1*(-8)\/((-24)\/27). Let t be (-54)\/j*48900\/(-9). What is t rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 15197477400 to the nearest 1000000.\nAnswer: 15197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6694 - -11706. What is the remainder when k is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 597, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*h**2 + 2 + 3 + 26*h**2 to m + a*h + i*h**2 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and -0.14.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in 326, -1, 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 260 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4108497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 less than 103306291.441?\nAnswer: 103306292.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -226218 divided by -6?\nAnswer: 37703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of 0 - 16*b**4 + 123*b + 39\/2*b**2 + 0*b**3. Differentiate p(y) wrt y.\nAnswer: -384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 77999394 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2844, 2863, 2894, 2937, 2992, 3059?\nAnswer: 3138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 - 22 = 4*u. Let x be 2 + 2\/(-1 - 0). Suppose x = -2*k + 4*k - d - 217, 4*d + 428 = 4*k. What is the highest common divisor of u and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 341 - 0?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 135*b - 575 = -35. Solve -4*j + 3 = 3*s + 11, -2*s + 8 = -b*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 60489493*n**3*q + 2*n**2*q + 9*n*q + 2*n + 73808 wrt n?\nAnswer: 362936958*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7878 and 2106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 + 101101101011001100100?\nAnswer: 101101101011001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -79, -217, -479, -907, -1543, -2429, -3607?\nAnswer: -5119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 3 g when four letters picked without replacement from jgggpgjgjgpgpgggggjg?\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4727866 and 363682?\nAnswer: 4727866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -2*w**5\/9 - 16*w**4\/9 + 4*w**3\/9 + 32*w**2\/9 - 2*w\/9 - 16\/9 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of 0 - 1\/120*d**6 + 1\/3*d**3 + 4*d**2 + 1\/15*d**5 + 0*d - 5\/24*d**4. Let n(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 89350145569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -204532.99910593 - -205931.2262. Let q = s - 1459.2270944. Let m = -61 - q. What is m rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1174\/7 - 168. Let o = -3.763 - -15.763. What is the second biggest value in o, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 247378997.\nAnswer: 101, 2449297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -108739\/94 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 2\/48549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(88)*-4)\/sqrt(2).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116825 is divided by 13338?\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -12014, -23002, -33006, -42026?\n\"Answer: 492*a**2 - 12464*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8\/(-6)*15\/(-10). Suppose g*l - 5*v + 2*v - 21 = 0, 5*v = -4*l + 9. Let w(h) = 2*h + 3*h - h - l*h. Let p(u) = -5*u. Calculate w(p(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/8792550 and 53\/911820.\nAnswer: 123095700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -10032.08683 rounded to the nearest integer?\nAnswer: -10032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 5, -2, 240, 1 in descending order.\nAnswer: 240, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 10, 5, 14 in decreasing order.\nAnswer: 14, 10, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000005751 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -521243052 divided by 124372\nAnswer: -4191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 785 is divided by 101.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 3:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 14\/3, -21, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 563 + -293. Suppose -87 = 3*v - f. Let a = -4 + v. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -2689?\nAnswer: -5\/2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -1086489 by -1.\nAnswer: 1086489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 16) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -2436 by 812.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.02*-8015.4\nAnswer: 160.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 144*q + 736. Let j be p(-5). Let s(g) = g - 13. What is s(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1129541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -4*x + 8996, 2*q = 8*x - 3*x - 11230. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -4*x - 1. Let r be q(-1). Solve 25 = -2*z - r*h, 3*z - 4*z = -h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -2 and -2332.\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1.5899 - -1.3899. Sort m, 35, 4, -0.1.\nAnswer: m, -0.1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*y**4 - y**4 + 8*y**2 + 0*y**2 wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 74*u**2 + 267*u - 502. Let y be q(-70). Calculate the greatest common divisor of 240 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7452439 + 394828. Suppose -y = 11*j + 11017733. Round j to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -41 = 8*g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6, -127, -350, -663, -1066, -1559, -2142?\nAnswer: -2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.07? (a) -2\/5 (b) -5\/4 (c) -1174 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {q: 1, a: 3, g: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/5712 and (-80)\/88 + 89955\/91630.\nAnswer: 39984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 155, 139, 109, 59, -17, -125, -271?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(672)\/sqrt(6) - (sqrt(7) - (sqrt(700) + 0)))**2 - sqrt(56)\/(sqrt(40)\/sqrt(125) + sqrt(8)).\nAnswer: -5*sqrt(7)\/6 + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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 181692968 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001183792 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 2*n + 1. Let q(o) = 5*o. Let f(y) = -2*m(y) + q(y). Suppose 3*b = -0*b + 24. Let i(c) = 10 + 2*c - 8 - 7. Determine b*f(z) - 3*i(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = -3*f - 5*z - 145, -5*z = -4*f - 143. Let i = f + 46. Suppose 3*a + 42 + i = 5*w, 0 = -2*w - 2*a + 16. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 2, t: 1, g: 8, m: 2, c: 5}. What is prob of sequence gtmb?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {s: 1, k: 2, c: 2, q: 1, r: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 + r**2)*(213458 - 106725 + 127*r**2 - 3*r - 106722) as t*r + w*r**2 + p + f*r**4 + k*r**3 and give f.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(24\/9)\/4*(-1)\/22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i**2 + 2*i**2 + 3*i**2)*(-i + i - i**2) + 6*i**4 + 0*i**4 + 4*i**4.\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 84428280*u**6 + 99723353*u**2?\nAnswer: 10131393600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(4\/3)*r)\/(r*r**(-5\/3))*(r**(-1))**7*r\/(r**(-3\/4)*r)*r\/((r\/(r\/(r**2\/r*r)))\/r)*(r**(-2\/7))**34 assuming r is positive.\nAnswer: r**(-363\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 20*h - 60*h + 0*h - 2*h**2 + h**2 + h - h + h**2 - 2 + 2 + (4 + 1 - 4)*(-h**2 - h**2 + 4*h**2) + h**2 + 0*h**2 + 0*h**2.\nAnswer: 3*h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(6*(2 + sqrt(832) + -1*sqrt(832)) + 0)**2.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 111 minutes after 4:27 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 AM and 1:33 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + -103313123?\nAnswer: -103313120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-20)\/(27\/6*5\/45). Is (-60)\/j*8948\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -3*p + 12, 6*n + 9 = 4*p + 3*n. Solve p = -o - 19 + 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q + 237 - 73. Let h be 1\/(36\/37 - 1). Let a = q - h. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -9629, -20672, -31715?\n\"Answer: -11043*d + 1414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 392 + 628. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -143 (base 8) to base 12.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c + 24*c - 43182 = 0. List the prime factors of c.\nAnswer: 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -89*n**3 - 3*n**2 + 47*n + 172. Let f be z(-4). What is the highest common divisor of 44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1428 and 646.\nAnswer: 27132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1\/2 (c) -0.4 (d) -28 (e) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -4*g - 3. Let u(m) = m**2 - 3*m - 3. Let v = 45 + -41. Suppose 3*p + 3 = v*p. Let n be u(p). What is c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(32)\/((sqrt(90)\/sqrt(5))\/sqrt(9)))\/(-2*sqrt(968)*2).\nAnswer: -sqrt(2)\/44 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.01 (b) 0.5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 2*w + 15 = 0, 3*l + 0*w - 3*w - 60 = 0. Let y be (-14)\/15 - (-15)\/l. Which is the second biggest value? (a) -4 (b) y (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ebs when three letters picked without replacement from {s: 1, x: 1, b: 1, q: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(1\/2))**3*(o**4*o)**(35\/3))**(-2\/25) assuming o is positive.\nAnswer: o**(-359\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 - 112*q**2 + 58*q + 511. List the prime factors of f(-116).\nAnswer: 3, 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234097 is divided by 194?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-864)\/60 + 1 + 12\/(-20). Which is smaller: -168\/11 or i?\nAnswer: -168\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55 (base 11) in base 6?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 39 - 29. Calculate the least common multiple of u and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17002440 a multiple of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*x + 1016*x**2 + 15*x - x to h*x**2 + o + f*x and give h.\nAnswer: 1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 16\/(4 - (2 - 0)). Let n(z) = 20*z + 30. List the prime factors of n(c).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t + 0*t - t)*(-2*t**2 + 3*t**2 - 2*t**2)*(3*t**2 - 8*t**2 + 34*t**2).\nAnswer: 29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3*c + 0*c - 20 = 0, -5*y + 4*c - 4 = 0. Put -6, y, 0 in decreasing order.\nAnswer: 0, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-478)\/6)\/(294\/(-189)). Let s = g - 8151\/161. What is the common denominator of s and -5\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -228\/5*g**2 - 26\/5*g**3 - 891\/5 - 1\/5*g**4 - 774\/5*g.\nAnswer: -(g + 3)**2*(g + 9)*(g + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -21.953 from -466.057.\nAnswer: -444.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3517.\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37352275 is divided by 3754.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 380376 and 125928?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -46*v + 52*v. Which is the closest to v? (a) -0.2 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 12\/(-15) - (-29)\/5. Suppose -2*g = t*v - 21, -3*g - 3 = 3. Solve 7 = -4*w - w - h, 2*h - 16 = v*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -117 + 56. Let i = -52 - z. What is the highest common divisor of 27 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-9 - -2) + 7 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 3 - (-5 - 2 - -7) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-105)\/15)\/((-7)\/(-35))*(-3)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/(190\/21) - 10\/95.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -57, -115, -187, -279, -397, -547, -735, -967?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1413746423\/7766 + 2002160\/11. Let b be (-6)\/(-2 + 2 - 353). Let u = y + b. Find the common denominator of u and 79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 2 - 3. Let t be (4\/6)\/(4\/6). Let r be (t + 0)\/(o - 0). Is r smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(117) + sqrt(117)*-3) - sqrt(117))\/sqrt(9).\nAnswer: -13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 2*g + 10 = 0, -j = -6*j - 2*g - 18. Let x be 1 - -1*(-1 - j). Is x at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 11 + 3 - 5 - s**2 + 10*s. Does 3 divide c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that 2*p**2 - 2122*p = 0.\nAnswer: 0, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of t**6\/60 - 29*t**5\/6 - 293*t**4\/12 - 49*t**3 - 911*t**2 - t. Find v such that x(v) = 0.\nAnswer: -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/(-5)*(-900)\/(-3150). What is the closest to 1\/4 in 3, 2, -745, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, g: 1, n: 1, s: 1, w: 1, c: 2}. What is prob of picking 1 w, 1 c, 1 s, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 185273264 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*k**2 + 57*k**2 + 17*k**3 - 26*k**2 + 1 to b + l*k**3 + w*k**2 + x*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -356 + 323.4. Let y = o - -34. What is y rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((0 - 6\/4)*1332\/(-39294))\/(3\/(-4)).\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -20118 - -4.68381838?\nAnswer: -20113.31618162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**2 - 6*m + 8. Let g be z(-4). Suppose 0*u + 3*a + g = 5*u, 2*u - 22 = -4*a. What is the greatest common factor of 20 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7587 = -101*v - 165*v - 393 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 111904 - 50513. List the prime factors of w.\nAnswer: 11, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6477 - -6466. Which is the second biggest value? (a) -3\/4 (b) 11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 3*o**2 - 2*o - 3. Let t be c(-3). Let d = -0.56 - -0.06. Let r = -19\/40 + 3\/40. What is the closest to r in t, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*2\/(-6))\/(1\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 7*y**2 + 7*y + 236. Let z be r(0). Let p = 7 + -4. Suppose z = 4*t - 4*v, 5*t - p*v - 321 = -16. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 3079.56 decades?\nAnswer: 30.7956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 - 14*o - 17. Suppose -63 = -4*u + 17. Calculate the remainder when u is divided by p(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 176 and 3619?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (51 - -768)\/39*(-18)\/(-14)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 9697399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125*f - 477179 - 252502 = 756819. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/5 (b) 0.5 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -27*p**2 - 114*p + 6. Calculate m(-7).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -db981 - -1?\nAnswer: -db980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 863.2357 centimeters in micrometers?\nAnswer: 8632357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 0, 16, 24, 6, -56, -180, -384?\n\"Answer: -3*s**3 + 14*s**2 - 5*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1010022202 (base 3) to base 7\nAnswer: 121310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 11*f**2 + 3*f**2 - 3*f**2 + 4*f**2 in the form o + j*f**2 + q*f and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(6\/(-7)*(-29)\/(-58)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3700080 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be 16\/(-56) - 94\/14. Let v(b) = b + 9. Let j be v(c). Suppose d = 10 - 1. Solve d = q + j*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of -j**4\/4 + 5*j**3\/3 - j**2\/2 - 7*j - 18. Suppose -18*w + 0*w = -36. Suppose -w*y + 208 = 198. Determine c(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12904 is divided by 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 600 + 3?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2683538 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s + s - 380 + 219 - 29 + 220.\nAnswer: 2*s + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 482 minutes after 1:40 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-15*w - 18*w + 10*w)*(15 - 6 - 7)*(2 - 2 + 2*w) to the form b*w**2 + p*w + k and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 125 (base 11) to base 12.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(39)\/(sqrt(3)*-2)*1.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 0)*2\/4. Suppose -4*f = 2*o + 2*o - 40, -3*o + 5*f = -6. Suppose -o*z + 1 = -6. Sort z, -3, q in descending order.\nAnswer: z, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from leddn. What is prob of sequence dnd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 3*n = h + 130, -2*n - 2*h - 60 = 0. Is (n\/(-200))\/(1\/41512) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4037014\/27 less than -149520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 2 = -16, -158*z + 329*z - 12 = -52*i + 169*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -3848 divided by 148?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -20043088 by 8912.\nAnswer: -2249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 651896258 to the power of 1\/2, to the nearest integer?\nAnswer: 25532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5039899.\nAnswer: 1319, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11313 - -19144. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1413, 1373, 1317, 1239, 1133, 993?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004892 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**2 + 6*j + 6. Let b be z(-4). Let v = 78 + b. Let s = -368 + 378. Calculate the remainder when v is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 239220 and 1620?\nAnswer: 717660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00186533 to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1782+-0.2\nAnswer: -1782.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of c - 1\/12*c**4 + 0*c**2 - 3\/20*c**5 + 0*c**3 + 0. Find the third derivative of l(d) wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4640923921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-96)\/7)\/(24\/(-18)*237\/1106) + 7?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -182 - -181.99694. What is h rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7219.8 rounded to the nearest ten?\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 300, 1312, 0.1 in decreasing order.\nAnswer: 1312, 300, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 3 = x, -4*d + 15 - 3 = x. Solve 1 + 2 = 4*w - d*j, -6 = -2*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -343073901.411 and 131?\nAnswer: 343074032.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (g - g - 3*g)*(-3*g**2 + 6*g**2 - 11*g**2).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 7*m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 40178 by -5501.\nAnswer: -40178\/5501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 284 + -254 - (17 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:54 PM and 5:48 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, e: 4}. What is prob of sequence en?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*m = 3*m. Let d be 1 - (-10 - m - -1). Let f = -24 - -64. What is the greatest common divisor of f and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -448*z + 6766211 = -65*z - 2230459. What is the greatest common divisor of 540 and z?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88294 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -i**4\/2 - 880*i**3 - 521159*i**2 - 106993920*i - 3701433681\/2 = 0 for i.\nAnswer: -619, -561, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeezeezeeeeeze.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5\/4, -4\/3, 0.3, 95.\nAnswer: -4\/3, -5\/4, 0.3, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13168807 is divided by 85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Product of 18 and -7990.\nAnswer: -143820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -25, -49, -107, -211, -373, -605, -919, -1327?\n\"Answer: -2*f**3 - 5*f**2 + 5*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.37 - -0.58. Let w = o + 29.05. Let m = w + -25. What is the second biggest value in m, 2, 68?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 11:57 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is r in -3*r**3\/4 - 1195*r**2\/2 + 103871*r\/4 - 17179\/2 = 0?\nAnswer: -838, 1\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 533c (base 13) to base 10.\nAnswer: 11543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooiciiqfioo. Give prob of sequence iic.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -54660 (base 8) in base 13?\nAnswer: -a5b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3840)*1 - sqrt(3840))\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 790.7347+-0.04\nAnswer: 790.6947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express m - 3 - 7 + 8 + 5*m**2 - 2*m**4 in the form q + g*m + r*m**2 + f*m**4 + s*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and -0.15301246.\nAnswer: 0.061204984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 962 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y - 3 = 15. Let t(k) = -y*k + k + 3*k. Let a(j) = j**2. Calculate t(a(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -18*p - 33. Does 22 divide (19\/p - -4)*-16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 - 5*h**2 - h + 5. Let i be b(5). Let r(g) = -g - 22. Let y be r(-7). Let a = i - y. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**2 + v. Let h be 2\/(4*(-2)\/4). Let f(c) = -5*c**2 + 6*c. Let j = -16 - -19. Determine h*f(a) + j*t(a).\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -186, 1, 0.\nAnswer: -186, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-32 + 13 + -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 2290, 5652, 10076, 15562, 22110, 29720?\n\"Answer: 531*a**2 + 1769*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -5 (b) 3\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 410 divided by -82?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - z - 4*z = -11, -2*i = -5*z + 1. Suppose o - 15 = -i*o. Solve -2 - 8 = o*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -77, -0.07, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 2337 = -10798. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*h = -3*a - 600 + 612, -2*a - 2*h = -0*a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2835*b**3*s**3*w**3 - 14*b**3*s**3 - 164*b**2*s**2*w**3 - s**3*w**3 - 15*s**2*w**3 wrt b.\nAnswer: -17010*s**3*w**3 - 84*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -25.500317 - -25.5. Round p to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q + 5*r - 401 = -14*q, 0 = -q + 16*r - 1230 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s + 9. Let h be (-21)\/(-30)*-4*-5. Let r = 25 - h. What is the remainder when o(r) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.2 and 4.0620212943.\nAnswer: 3.8620212943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -145 - -267\/2. What is the common denominator of 87\/112 and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 f, and 1 z when three letters picked without replacement from {u: 3, e: 7, f: 1, z: 5, h: 2}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 309 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5 take away 11983.3?\nAnswer: -11978.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 5\/3, 26, -13005.\nAnswer: -13005, 5\/3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.03 - -0.04. Let a = o + -2.01. What is the closest to a in -0.3, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1948323 by -104.\nAnswer: 149871\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1138.931 - -1140. Let t = 1.009 - q. Let d = -3 - -2.5. Which is the nearest to -1\/4? (a) t (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 times 897.954?\nAnswer: -80.81586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -180 + 106. Let i be (-3)\/18 + v\/(-12). Which is the third biggest value? (a) -2 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 987316.5 hours?\nAnswer: 41138.1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*y + q = 19*y - 2, -4*y - 8 = 4*q. Let d(t) be the first derivative of -t**3\/3 + t**2\/2 - 8*t + 2. Determine d(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11 - (-75 + 7) - (-1 + 25)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + (-3 - 0)*1603. Let g = 28765\/6 + j. What is the common denominator of 85\/16 and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-13))\/((-406)\/(-23751))*22\/(-616)?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*l + 4*b, 10 = 165*l - 161*l - 2*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 64\/171 and 125\/7233984?\nAnswer: 7233984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -811 - -1704. What are the prime factors of v?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 27 + -20. Let r = -5 + s. Which is the closest to 2\/3? (a) r (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = c + 60. Let i be (9\/6)\/(2\/c). Let s = i - 6. Sort -4, s, 0 in descending order.\nAnswer: s, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-255)\/306*(112\/(-35))\/(-8))\/(14\/(-108))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -366*k**3 + 198*k**3 + 182*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2 - 40*x - 38.\nAnswer: -2*(x + 1)*(x + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -10, 9, 5, 1\/2, 549?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (-4 + 2) - (60 + -55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 153387.\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-288)\/(-128)*(-5724)\/243?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7.5 plus -273596584.638?\nAnswer: -273596592.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 4, x: 2, o: 7, u: 1}. Give prob of picking 1 x and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**2 - 14*f - 18. Let v(j) = -2*j**2 - 29*j - 36. Let o(p) = 9*g(p) - 4*v(p). What is the least common multiple of 7 and o(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3798 and 78.\nAnswer: 49374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 20691, 82707, 186065, 330765, 516807, 744191?\n\"Answer: 20671*n**2 + 3*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10823 is divided by 286.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 3 + sqrt(720) + -2 + -3 + (sqrt(720) + -1*sqrt(720))*2 + -4 + -5)**2.\nAnswer: -312*sqrt(5) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 9041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 8\/6 + (-106)\/(-6) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z = -80 + 89. Suppose y - 5 = -9*j + 7*j, -3*y + z = 3*j. Let r(q) = 12*q - 12*q + 5*q**j + q**2. Let m(h) = -h. What is r(m(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2394 + -4b12?\nAnswer: -72a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -2, 3, -4 in increasing order.\nAnswer: -25, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2 + 4*h - 10*h - 6*h**2 + h - 7. Let b(u) = 3*u**2 + 3*u + 3. Determine 5*b(m) + 3*g(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/(i*i**6))\/i*i*i*i*i\/(i*i\/i**0))\/(i**4*i**(-2)) assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/5, 908\/5, -4, -0.1, 9, 5, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 398 - 582. Let l = d - -183.99638. Round l to 4 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -109401557*a**3 - 413218*a**2 + 7*a?\nAnswer: -656409342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w + 24. Calculate the least common multiple of s(-6) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 3*c = 2*f - 461, -f + c = -223. Let k = 231 - f. Let a = 30 + 91. What is the lowest common multiple of a and k?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 19 + 25 = 7*k, -4 = -5*l + 3*k. Find f, given that 1250\/7 + 2\/7*f**4 + 300\/7*f**l - 1000\/7*f - 40\/7*f**3 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 PM and 11:53 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the third derivative of z**2 + 0*z + 1\/6*z**4 + 0 + 0*z**3. Calculate d(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -724 = -127*m - 2248 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (1 - -12) + -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2062195258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 124363 + -6?\nAnswer: 124355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 988 - -907. Suppose 0 = 5*a + h + h - 2359, -4*a + p = -h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that 5*n**3 - 890*n**2 + 2425*n + 35000 = 0.\nAnswer: -5, 8, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 6*j - q + 22, -4*j + 4*q = 28. What is the biggest value in -1, j, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138*x + 132*x = -528. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2\/3))**(-26\/7)*(((u*u\/(u**1*u))\/u)\/u)**(-4\/17))\/(u**5\/(u\/(u**(1\/3)*u)))**44 assuming u is positive.\nAnswer: u**(-82724\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-14)\/((-560)\/12))\/((-6)\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2781 + -778. Is 73 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the second derivative of -p**3\/6 + 13*p**2 - 133*p - 3. Let o be 40\/12*(4 - 1). Let l be w(o). Solve -c = 4, 3*d + 2*c - c = -l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -20*k**4 + 18*k**4 - k**2 + 0 + 0*k + 1 - k as j + q*k**2 + f*k**3 + g*k + w*k**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1119 + -2?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 49747 <= 49748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10255 - 10234) + (0 - (-50 - -1)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/9*23*(-94)\/(-1081).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:15 AM and 10:46 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 - 9 - (-4 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/(-2)*1418\/(-309). Let g = 4\/103 - c. Let r = 2 - g. Are -1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 219719 + 89253. Let l be (2 + t)*4\/(-6). Suppose -q = 18506 + l. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4360 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 18954511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*c = -5477 + 18040. List the prime factors of c.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**2 + 45*s + 87. Let r be q(47). Which is the second smallest value? (a) 1 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 854105.628 to the nearest ten thousand.\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19 - (-5 + -12)) + 7 + 2 + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2325 + 37 + 128443 = 5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*f - 3*n = 40*f - 17, -4*f = -3*n + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 162\/5 - 3392\/105. Let g = c + 74\/105. Let n = -803\/9 + 89. What is the nearest to g in -1\/2, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.01 (b) -2\/9 (c) -3\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 4*i - 640 = 0, l + 215 = 2*i + i. Let z = -104 - l. Suppose -3*y - 5*p + z = 0, -4*y - 2*p + 144 = -0*p. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28157.\nAnswer: 37, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = 2*c - 220. Let z = -93 - c. Round z to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 283899 and 25?\nAnswer: 7097475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -8*n**5\/17 + 8*n**4\/17 + 94*n**3\/17 - 116*n**2\/17 - 280*n\/17 + 400\/17 = 0. What is n?\nAnswer: -5\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 - 2*o. Let z be a(0). Which is greater: z or -1\/27?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2033, -8155, -18359, -32645, -51013?\nAnswer: -73463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 7 = 28. Let l be 105\/(-10)*(-300)\/18. Calculate the highest common factor of l and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 5 and 6058461228.6331.\nAnswer: 6058461233.6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -83562166 less than or equal to -83562165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 120734 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be 10\/(-6) - (-4)\/2. Let t = 342 + -342.4. Which is the closest to 0.05? (a) -0.5 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 9, p: 11}. What is prob of picking 1 k and 1 p?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-6)\/((-120)\/220)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 3, 77, 1, 4 in decreasing order.\nAnswer: 77, 22, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-78)\/6 + 4 + (-64)\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/29958 and -127\/36.\nAnswer: 179748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1506 equal to 73805\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**2 - i**2 + 0*i**2)*(4 + 0 - 2)*(2*i**2 - 4080438 + 1226*i + 4080438).\nAnswer: -4*i**4 - 2452*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l**3 + 2*l**2 + 2*l - 4. Let s = -36163\/10 - -3623. Calculate the common denominator of x(3) and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*b + 661*b**3 - 316*b**3 - 322*b**3 + (b + 1 - 1)*(2*b**2 - 3*b + 3*b).\nAnswer: 25*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -463076*s + 462989*s + 1480 = -86 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tccc when four letters picked without replacement from cdttcxtdtctxtcd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3358, -5069, -7922, -11917?\nAnswer: -17054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 60833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 533409375?\nAnswer: 3, 5, 56897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -284*u**3 + 2*u**2 + 4*u + 2. Let p(r) = r**3 - 2*r - 1. Give 2*p(o) + x(o).\nAnswer: -282*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 10 = 226. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1464 and 3308521416?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3900, -4107, -4452, -4935, -5556?\nAnswer: -6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 + 8)*(3 + (-118)\/40)*-2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 - 19. Let l(c) = c - 9. Let o be l(9). Let b be n(o). Let j = b - -36. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*n**2 - 17*n**2 - 9 + 5*n**2.\nAnswer: 3*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.06 - -3. Let v = m + 0.36. Let r = 1 + -4. Which is the closest to 0? (a) v (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -29*w**3 - 3*w**2 + 3*w + 5. Let d be p(-2). Let s = -57 + d. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 160 and 134080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 57.7345 + -0.0345. Let d = -58 + i. Let u be (0 - (2 + 0))*4. Sort d, u, 2\/7, 4 in ascending order.\nAnswer: u, d, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.529 + -0.54253. Round l to four dps.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2569*m**2 + 2 + 7708*m**2 + 172*m**3 - 2570*m**2 - m - 1 - 2568*m**2 to the form d*m**2 + w*m + u + z*m**3 and give z.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 65713199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 2*d**2 - 4*d - 6. What is the remainder when b(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16.8 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of p**3\/3 - 3*p**2 + p - 19. What is m(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -1558817 and 0.4.\nAnswer: -1558816.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 962\/5 - 193. Let x be (-21)\/(-6)*72\/21. Let h be (x\/10)\/((-4)\/10) - -6. Which is the closest to -1\/3? (a) h (b) -1\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -226.6 and 550863.67.\nAnswer: 550637.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(-2)*(-234)\/39. Let x(m) = -2*m**2 + 7*m - 7. Let a be x(3). Put d, 0, a in ascending order.\nAnswer: a, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11445 is divided by 81?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 110 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 807 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/21 (c) 932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -285 + 35. Let w = u + 418. Calculate the highest common divisor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2764, 5, 1, -2 in decreasing order.\nAnswer: 5, 1, -2, -2764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 32\/153619?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2320200 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9627 divided by 5.\nAnswer: 9627\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - a = -0*y + 18, y - a = 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jcjl when four letters picked without replacement from klkkcjcjckkjk?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x**2 + 4467 - 2267 - 2200.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 25*f**2 - 6*f - 18. Suppose -6*h - 75 = -33. Is l(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -21 - -37. Suppose 3*n = -n + 576. What is the greatest common factor of n and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q + 24 = -5*q. Suppose 3*g - 4 = q. Find s such that -4\/3*s**g - 32\/9*s**2 - 2\/9*s**5 - 28\/9*s**3 - 2*s - 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*p + 230*p - 62*p - 60*p - 63*p + 4.\nAnswer: 7*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 26*g - 31*g. Let w(q) = q**3 - 2*q**2 - 6. Let a be w(g). Is 30 a factor of (a - -15)*40\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14471 and 4491?\nAnswer: 130239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1726 + -2281. Let h be 1\/(-10)*y\/74. Factor -3\/4*g**3 + 3\/4*g**2 + 0 - h*g**4 + 3\/4*g.\nAnswer: -3*g*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 PM and 6:11 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -l**3 - 13*l**2 - 11*l + 12. Let t be y(-12). Suppose t = o - 2155 + 100. Suppose -6*r + o = -r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -4.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -667 + 947 = -40*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l**2. Let s(u) be the second derivative of 313*u**5\/60 + 97*u**2 - 216*u. Let a(r) be the first derivative of s(r). Determine n(a(w)).\nAnswer: 195938*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of -16*m**9\/63 - m**5\/20 + m**4\/4 - 136*m**2. Find the third derivative of d(h) wrt h.\nAnswer: -15360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7356 and 89011278?\nAnswer: 3678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -9*m. Let p(x) = x + 74*x**2 - 72*x**2 - x. Determine b(p(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -101 + -48 + 74 - -32\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6612 less than 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 50*b**4 + 8*b**3 + 8*b**2 + 8*b + 20. Let p(m) = m**4 + m**3 + m**2 + m. Let f(t) = -d(t) + 8*p(t). What is the first derivative of f(y) wrt y?\nAnswer: -168*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -469*k - 4339. Calculate t(-10).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o*o\/(o\/(o\/(o*o**(2\/3)*o)))*o)**12\/(((o*(o**(-2)\/o)\/o)\/o*o*o)\/o*o\/(o\/o**(-1\/5))) assuming o is positive.\nAnswer: o**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -3. Let g be (5 + -1)*(-3)\/k. Find the common denominator of 38\/11 and g\/12 - 2\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x. Let m be p(5). Let f = -1 + 2. Sort f, 0, m in increasing order.\nAnswer: 0, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -15511 times 0.4\nAnswer: -6204.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 903 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -5*q**2 + 900*q + 3680 = 0.\nAnswer: -4, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 13*p + 89. Let g be y(-6). What is the first derivative of 25 - g + 34*l - 3 wrt l?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*-301.\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (108\/(-192))\/((-138)\/184)*-56?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3050696 a multiple of 1029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 684.302 milligrams?\nAnswer: 684302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/(27\/2) + 2586\/(-27). What is the common denominator of 71\/4 and ((-20)\/g)\/((-1)\/(-114)*4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -118 + 338 = x. Let t be 3\/(-12) + (-7)\/4. Let c(p) = -10*p. Let r be c(t). Calculate the greatest common factor of r and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 14226408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (23\/46)\/(((-1360)\/(-255))\/(4\/(-3))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.009713 and -58.1.\nAnswer: -0.5643253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12412, -12407, -12378, -12319, -12224, -12087, -11902, -11663?\nAnswer: -11364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -101 + -302310110?\nAnswer: -302310211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -5, -2, 0.18, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 2*n = 2*q, -2*q - 4*n = -24. Let r(d) = d**3 + 6*d**2 + 3*d - 6. Let t = -13 - -8. What is the remainder when r(t) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -113*p + 1700. Determine m(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add -91087477856 and -2.\nAnswer: -91087477858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -308*r**4 - 11835?\nAnswer: -1232*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 390067.8 millimeters?\nAnswer: 390067800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3\/6)\/(1\/(-1496)). Let t = w - 2795. Let u = -24746\/7 - t. Find the common denominator of u and 18\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12*r + 0*r - 3*r + 2)*((-16 + 2 - 5)*(1 + 2 - 1) - 1 + 0 - 1)*(-r**2 - 5*r**2 + r**2) to y*r**2 + x + g*r**3 + m*r and give g.\nAnswer: 1800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the first derivative of -u**5\/30 - u**4\/3 - 4*u**3\/3 - 5*u**2\/2 - 3. Let y(i) be the second derivative of h(i). Factor y(m).\nAnswer: -2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1)*p*p*p\/(p**(-1)*p)*p)**(-4\/13)\/((p*p**(-1\/2)*p*p)**(-14))**(-30) assuming p is positive.\nAnswer: p**(-13662\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -115*d + 119*d + k - 1077242 = 0, 3*k = 3*d - 807924. What is d rounded to the nearest 1000?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 28*z + 219. What is the units digit of h(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1314359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 41509420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13\/150 + -2\/25. Let z = -1.2 - -1.2. What is the closest to 0.05 in z, 5, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u + 9. Let w be l(6). Let r be 49 + (-1 - w) - 3. Let k = -39 + r. Solve -2*a + x + 10 = a, a + k*x = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 27*k**3 + k**2 - 1. Let f be p(1). Suppose t + 4*r = f, -t + 11 = r - 1. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 3*w**3 + 246*w**2 - 2685*w + 6900 = 0.\nAnswer: -92, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -211 + 210. Let a(u) = -3*u**2 - 4*u - 2. Determine a(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5, 61, 36 in descending order.\nAnswer: 61, 36, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b**2\/5 + 282*b + 69984\/5 = 0. What is b?\nAnswer: -48, 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 255 and 3264?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**3 + 19*k**2 + 61*k + 32. Let b be p(22). Calculate the remainder when 5 - b - (0\/2)\/(-1) is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*i + 166 + 65. Suppose j + 2*g + g - i = 0, j - 6 = 2*g. Let r(s) = 3*s - 1 + j - 15 + 0. Determine r(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 68356174 is divided by 1180.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 7*u + 1. Let h(t) = -4*t**2 + 28*t + 7. Let o be h(7). Let m(s) = 10*s + 2. Give o*f(v) - 5*m(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21)\/(-3045)*-29*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19495 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -870, 824 in decreasing order.\nAnswer: 824, 4, -2, -870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out -24356836 - -1.\nAnswer: -24356835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -u + 3 - 3 + (1 + 1 + 1)*(-32*u - 22996 + 22996) + (0 + 3 - 2)*(-2*u - 2 + 2) + 3*u + u - 3*u + (4 - 2 - 3)*(-4*u + 1 - 1).\nAnswer: -94*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 9*q - 7. Let y(t) be the second derivative of 0*t**2 + 0*t**3 - 3*t - 1\/12*t**4 + 3. Give u(y(p)).\nAnswer: -9*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*-1*-2*sqrt(22)\/(2*sqrt(2)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 PM and 3:40 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 9713.565 hours in seconds?\nAnswer: 34968834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:25 PM and 4:32 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -6*m**3 - 11*m**2 - 3*m - 2. Calculate c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 124*t**3 + t. What is the tens digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 42*t**2 + 1. Suppose -7*m = -6*m + 1. What are the prime factors of x(m)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 540768 and 1048?\nAnswer: 540768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the second derivative of -i**3\/3 + 204*i. Suppose -6 = -x - 4. Let c(s) = 2*s**2 + s**2 + x*s**2. Calculate r(c(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 835, 1649, 2463, 3277?\n\"Answer: 814*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 18*x + 266. Determine o(-13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k**4 - 1045*k**3 + 52890*k**2 + 66600*k - 648000 = 0. Calculate k.\nAnswer: -4, 3, 90, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: ((-363)\/(-297))\/(8 + 444\/(-54))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 6*i + 20. Let n be q(-2). Solve -n*x + 4*x = -2*k, 0 = -3*x - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = 3*z - 100, 19*z - 46*r - 20 = -24*r - 21*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -a*g**3*u + 14*a*g**3 - 3060*a*u**2 + 1906*g**3*u**2 - 3*u + 10 wrt a.\nAnswer: -g**3*u + 14*g**3 - 3060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3.919 hours in microseconds?\nAnswer: 14108400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (b + 3 - 3)*(-1 + 2 + 0)*(-5 - 4 + 1).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 266 = -7*h - 126. Let x be 2\/(-6)*711\/3. Let p = h - x. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 + (-2)\/3)*-3. Let s be (30\/5)\/(-6)*0. Suppose -3*i + b*i - 8 = -m, s = 5*m + 3*i - 24. Let d(q) = q**2 - 6*q + 7. What is d(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -1\/4 (c) -2 (d) -0.2 (e) -12\/5 (f) -1 (g) 6.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.90781 * -0.06.\nAnswer: 0.0544686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 164341?\nAnswer: 164344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 250394 is divided by 46.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes after 4:26 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1ca + 3?\nAnswer: 1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 275 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 - 16. Let x = 118 - 118. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 + f - 1. Let q(u) = -5*u**2 + 6*u - 4. Let l(x) = 6*n(x) - q(x). Let i(y) = -44 - 37 - 31 + 31*y - 9. Let s be i(4). What is l(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -13641*a. Let q(n) be the second derivative of -n**4\/6 - 5969*n - 1. Determine q(o(g)).\nAnswer: -372153762*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -7. Let y be (-3 - 24)*80\/j. Suppose -4*o - o = -y. Calculate the greatest common factor of 18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((8\/36)\/(60\/(-36)))\/((-12)\/(-10)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 53248*j*q**2 + 306*j*q + 45073792*j + 2 wrt q.\nAnswer: 106496*j*q + 306*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/373, 4, -1, -0.3?\nAnswer: 1\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 405366*v**5 + 3*v**4 - 7*v**2 + 50358436*v wrt v.\nAnswer: 8107320*v**3 + 36*v**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h*n**3*w**2 - 3*h*n**3*w + 14582*h*n**2*w - 5*h*n*w**2 + 90*h - 102751*n*w**3 wrt w?\nAnswer: 4*h*n**3 - 10*h*n - 616506*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6649594843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(572)\/(sqrt(55)\/sqrt(5)) - (sqrt(52) + 3)*-4 - (4 + sqrt(52) + sqrt(52) + 0 + sqrt(416)\/(sqrt(16)\/sqrt(2)))*5)**2*5.\nAnswer: 1600*sqrt(13) + 26320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*u - 3. Suppose 4*r + 0 = 8. Let p(n) = -4*n - 8. Let i(a) = -a - 3. Let y(t) = r*p(t) - 7*i(t). Calculate y(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/141 and 20\/81.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -6*p**4 - 45*p**3 + 45*p**3 + (-21*p - 11*p - p)*(-2*p**3 + 5 - 5) as r*p**2 + s*p**4 + v*p**3 + y + m*p and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, h: 1, o: 1, b: 1, y: 3}. What is prob of picking 1 b, 1 t, and 1 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 223*d**2 + 215*d + 74. What is a(-222)?\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 121752 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 are the prime factors of 31241522?\nAnswer: 2, 13, 101, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 3. Let k = 1.4 + u. Let d = 6 - 3. What is the smallest value in -0.4, d, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3fd0 - -21?\nAnswer: 3ff1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -363*o + 295*o + 1875 = -165 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55386 = -34*q + 8364. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14497.797224769 minus -5?\nAnswer: 14502.797224769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the first derivative of -2*k**4 + 6*k**2 - 10. What is the second derivative of n(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -884249, -884242, -884235, -884228?\n\"Answer: 7*a - 884256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 7:30 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 193 + z**2 + 202 - 394 + 0*z**2. Let v(h) = 4*h**2 + 2. Determine -3*b(t) + v(t).\nAnswer: t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l - 3*l + 4*l)*(4*l - 5*l + 2*l)*(-4*l - l + 6*l + (2 + 0 + 0)*(2*l - l - 2*l)).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1 - -3. Suppose 0 = -37*z + 491 + 249. Suppose v*o - 68 = -z. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1575*d + 1571*d - 24, -6*y + 4*d + 12 = 0. What is the closest to -0.3 in y, 0.1, 3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 554 + -3313\/6. Let v = n - 67\/30. Sort v, 1, -2 in descending order.\nAnswer: 1, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -15*i - 147. Let f(t) = 26*t + 294. Let n(j) = 3*f(j) + 5*s(j). What is the remainder when n(-23) is divided by 61?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/3)*o\/o**(-2))\/((o**(1\/17)*o)\/(o*o**(-5\/2)*o)) assuming o is positive.\nAnswer: o**(181\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tqtlzltqill. Give prob of sequence qz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1364*x**3 - 132608 + 1421*x**3 + 132617.\nAnswer: 57*x**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 172052 (base 9) to base 5\nAnswer: 11401411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29.587 - -0.187. Let a = -344.4 - i. Let p = 314.99839 + a. Round p to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2\/5 - -11\/15. Let q = -300\/1099 + -2\/157. Let d = 0.6 - 0.2. Which is the nearest to -1? (a) d (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**3 + 6*w**2 - 3*w + 3. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 285274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 76, 126, 150, 136, 72, -54, -254?\n\"Answer: -2*a**3 - a**2 + 67*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 17*k**2 + 17*k - 8. Let o be w(16). Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-2)\/k*k)\/k*(k*k**5*k)\/k)\/(k**(-1)*k)**(-5\/2)*(k**(2\/5))**50*((k*k\/k**9)\/k)\/k**6 assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*u + t + 26 = 16*u, 0 = 2*u - t - 8. Suppose -4*k + 5*v + 7231 = 0, 7*k - 5*v = u*k + 1804. List the prime factors of k.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1485 + 3?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7*((-4)\/(-18))\/(36\/162)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1 + -22. Is -21 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -39 in 0.5, -12\/5, 3?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1975815.25 + 4.\nAnswer: -1975811.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -267 - 338 - 305 = 149*d + 133 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -198 take away 0.4?\nAnswer: -198.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -39 + 34. Is 7 a factor of (-299)\/i - 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 - 142517\nAnswer: -142516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -4*d + d + 18, 0 = -3*c + 9. Let w(o) = o**2 - 7*o + 4. Calculate w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -189\/8 or -23?\nAnswer: -189\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-9)\/(18\/(-40)) - 1 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 2*z = 30, -z = 108 - 103 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 289*r + 13. Let u be k(2). What is the derivative of -61 + 591*s - u*s - 9*s**3 wrt s?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*n**2 + n**3 + 12 + 38*n - 9*n - 6*n - 12*n - 10*n wrt n.\nAnswer: 6*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) 8 (b) -1\/8 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 5 * -0.004\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 440424600 is divided by 660.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 10:47 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12335.\nAnswer: 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30835683 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 7 - 22 = -5*c, m + 6 = 2*c. Suppose 0 = 6*r - 9*r + 12. Let x be r + (-1 - -1 - 4). Solve 5*o - c*o + 10 = x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of 2*p**3\/3 - p**2 + 7*p. Let q(t) be the second derivative of -17*t**3\/6 + 4*t**2 + 3*t. Give -2*q(f) - 9*y(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as -10474.34005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -26870, -26807, -26702, -26555, -26366, -26135, -25862?\n\"Answer: 21*n**2 - 26891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find v such that v**2 + 737480*v + 737479 = 0.\nAnswer: -737479, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**3 - g**2 + 2*g - 1. Let c be v(1). Suppose -3*a = -c*a. Solve -q - q - 10 = a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-18)*1*10\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 3, -5, 5925 in descending order.\nAnswer: 5925, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(1900)*2 + 2) + ((0 + sqrt(1900))*6 - -4*((1*sqrt(1900))**2 - sqrt(1900))).\nAnswer: 140*sqrt(19) + 7612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 AM and 5:37 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d = -3*d, -3*r + 8088 = -d. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*m**4*p - m**2*p**2*s - 2*m**2*p*s - m*p**2*s + 13*p**2 - 3*s wrt m?\nAnswer: -84*m**2*p - 2*p**2*s - 4*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27 or 53\/2?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -126*w - 7866 + 345738 = -5459*w + 23225 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 7\/49 - 26*(-26)\/(-28). Let c = i + 30. Let q = c + -2. Solve -4*n = q*g - 4, -5*g + 20 = -3*n - 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 2*p = 22, -3*p + 24 = 2*k - 0. Solve -2*h = -5*h - k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:14 PM and 9:35 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3. Let r = 65 + -60. Suppose q + 4 = r. Let s(o) = -15*o**3. Determine q*s(v) - 20*g(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 2 + 6)*(19 - 19 - 8*b) + 2*b - 4*b + 0*b - 2*b + 0*b + 3*b + (-1 + 0 - 1)*(2*b + 4*b - 4*b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 49.41231l in millilitres?\nAnswer: 49412.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/2 + 1 + 0. Let c(g) = -n*g - 3*g - g - 8. Let w be c(-8). What is the greatest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 + 1)*(303433 + 406*k - 303433).\nAnswer: 2030*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -645 + 640. What is the nearest to -5 in z, -0.3, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 36 by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 14*g**3 - 53124*g**2 - 22778*g + 30360 = 0.\nAnswer: -1, 4\/7, 3795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/(-2) - -1)*-12. Let l be (-148)\/(-3) - (-24)\/t. Let g = 83 - l. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3629852834.\nAnswer: 2, 19, 211, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 91\/123 + -3\/41. Let x(w) = -w**2 - 39*w + 1026. Let k be x(-57). Let a = 0.3 - 0.4. What is the nearest to k in a, j, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (527*h**2 + 311*h**2 - 3311*h**2)*(3*h + 0*h + 0*h) in the form z + i*h**3 + f*h + y*h**2 and give i.\nAnswer: -7419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*d - 2*d + 5*d)*((-5 + 3 - 3)*(-4*d + 4*d + 2*d) + 2*d + 4*d - 4*d).\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 157508570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 15800.19 millilitres to litres.\nAnswer: 15.80019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 395 = 3*l + 133, 0 = 3*f - 9. Let j = l + 176. Solve -6 = 2*n, -j*n = 2*u + 20 - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u + 4*c + 29, -3*u + 18 = 119*c - 122*c. Let d(z) = 2*z + 6. Determine d(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-seven halves of a kilometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 6 + 20\/35 + 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1924 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -46*x**3 + 2*x**2 + x - 20. Let b(n) = -37*n**3 + 3*n**2 + 2*n - 20. Let u(s) = 5*b(s) - 4*d(s). What is u(9)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 58*y**2 - 3*y + 3. Let n be (-21)\/84 - (-10)\/8. List the prime factors of s(n).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 10) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(85) + sqrt(85)*-1)\/sqrt(5) + sqrt(17) - (sqrt(272) - sqrt(17))*-2) + 0.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 384476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*k + 25*k + 4 = 0. Sort 2, k, 6.9 in descending order.\nAnswer: 6.9, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the second derivative of -11*b**3\/3 - 14*b. Calculate i(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = -8*i - 136, -5*i = -5*r + 1240 - 1145 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 172055*i**2 - 86033*i**2 - 86030*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15 + 4 + -7 - -19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the third derivative of 7*o**4\/8 + 123*o**2 + 1. Let x(b) = -2*b. Calculate z(x(w)).\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/3))**(-1\/81)*((a\/a**(-8))\/a)\/(a**1\/a) assuming a is positive.\nAnswer: a**(1943\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -70532 by 3.\nAnswer: -70532\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the third derivative of d**6\/60 - d**5\/20 - d**4\/8 - d**3\/6 - 3*d**2. Let r be v(3). What is the greatest common divisor of 68 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: Product of -32916041 and -0.01.\nAnswer: 329160.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -236 = 5*a + 64. Does 14 divide (40\/6)\/(-8*1\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 9*g - 5517 = -5722, -u + g = -31 + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*m - 7*m + 4 = -g, -m + g = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(((1*sqrt(11)*-5 - sqrt(11)) + sqrt(11))**2 - (-4 + sqrt(11)*-2))*-1.\nAnswer: -1395 - 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1305*w = -11*w - 44967 + 5487 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -422840, -845675, -1268510, -1691345, -2114180, -2537015?\n\"Answer: -422835*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 - -205) + 1*4 + 1. Calculate the highest common divisor of 53 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 2*r - 1 - 3, 0 = a + 1. Let b(u) = 5*u - 4. Let v(d) = -d**2 - 5*d + 1. Let p be v(-4). Let n be b(p). Solve -5*x + 1 - n = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 - 189?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12254119 is divided by 1225411.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6.99000342 - -6.99. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {f: 1, l: 2, a: 3, m: 1, i: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.22, -3, 5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 16 = -23. Solve -c = -k - 2*d, 3*k = k + d + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -20, -33, -24, 19, 108?\n\"Answer: 2*n**3 - n**2 - 24*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 168 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6578 - 4?\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00241 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 279811.0215 + -279728. Let a = 83 - x. What is a rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -6*o**2. Suppose -16 = 2*k - 5*y, -4 = -4*k + 2*y - y. Let m(r) be the second derivative of 0*r**2 - k*r + 1\/3*r**3 + 0. Calculate m(h(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 14563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 0, -2 in descending order.\nAnswer: 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*c**3*k**3*n + 801433*c**3*n**2 - 3*c**2*k**2*n - 2559*c*k**3*n + c*k**2*n - 44*k**2*n**2 wrt c.\nAnswer: -12*k**3*n + 4808598*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -9003, -36096, -81233, -144396, -225567, -324728, -441861, -576948?\n\"Answer: 3*h**3 - 9040*h**2 + 6*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 2*c**2 + 205*c - 763. Determine y(-106).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bhpmrbppmbmrrh. Give prob of sequence ppr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m**2 - 12*m. Let c be b(7). Suppose -4*d = -c*d + 2210. What are the prime factors of d?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 494 + -464. Solve -8 = 3*f + 2*c, -5*f + 3*c + 2*c = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -23, 1, 5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -9 + 4. Let j(k) = k**2 + 3*k + 4. What is j(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 12022 (base 3) to base 11.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 4*h + 2*k - 21, -5*k = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 10\/4*(21 + -19). Suppose 0 = 2*l - 3*l - n + w, -2*l + 3*n = -10. Let f(q) = q - 1. Let i(r) = r**2 + 5*r - 3. Give l*f(p) - i(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(j*j**(-2)))\/(j*j**8)*(j**(-1\/3))**(-22)*(j*j**(-5\/6))\/j**8*(j\/j**(-9)*j)\/((j*j**(-8)*j)\/j) assuming j is positive.\nAnswer: j**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g**3 + 525*g**2 - 235*g - 2847. Give d(262).\nAnswer: 4227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 1475 = -j + 3*s, 5*j - 3*s - 1445 = 0. Let q = 6425\/22 - j. Suppose 0*z + z + p = 5, 2*z - 2*p = -10. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z - 3*y - 24 = -2*z - 78, -24*y = 5*z - 432 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -62\/765 and 46\/1777707.\nAnswer: 8888535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -31, -36, -45, -58, -75, -96, -121?\n\"Answer: -2*l**2 + l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-9)*l**(-20)*l assuming l is positive.\nAnswer: l**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (-28 + 11)) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3835 + 3833. Is f equal to -378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -62, -50, -38, -26?\n\"Answer: 12*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 + 286*t**2 - 3291*t + 794. Determine v(274).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -k - 36. Let m be 4*2*3\/k. What is the third derivative of -c**5 - c**5 + c**2 + c**m wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -324 - -324 - ((2 - 4) + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Suppose 164*o = 340*o - 39034945 - 114203503. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(480)*1)\/(sqrt(90) + (sqrt(90) - ((-2*sqrt(90) - sqrt(90)) + sqrt(90)) - sqrt(90))*-4).\nAnswer: 20*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 765746 to the nearest 10000.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:14 AM and 8:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p*p**(1\/9))\/p)\/p*p*p*p*(p\/p**(-15))\/p)\/(p**10\/p)**(-2\/33) assuming p is positive.\nAnswer: p**(1748\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 56 = 5*b + n - 39 + 28, -2*b + 3*n = -20 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2354 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 4 + 0 - 3 + 2*t. Let w(g) = -2*g. Let c(i) = 11*i**2 - 48*i - 47. Let u be c(-1). Let j be u\/(-12)*5 - -3. Determine j*h(d) - w(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*a - 164*t - 150 = -165*t + 233, 5*a - 3*t + 199 = 0 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5164?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/32)\/((-2)\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 2232.5052 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the second derivative of 0 + 0*m**2 - m + 2\/3*m**4 + 1\/10*m**6 - 11\/20*m**5 + 2\/3*m**3. Factor v(f).\nAnswer: f*(f - 2)**2*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 - 3)*(n - n - 2*n**2) - 3 - 2 - 2*n**2 + 2*n + 2.\nAnswer: 2*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmgmz. Give prob of picking 1 z and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 PM and 12:58 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17 and 1717.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 586910 and 418.\nAnswer: 6456010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**3 + 190*i**2 - 195*i.\nAnswer: 5*i*(i - 1)*(i + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 11) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4, 2\/3, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*t**2 + 1841 + 1636 - 1153 - 13*t**2.\nAnswer: -2*t**2 + 2324","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -2*l**4\/3 + 208*l**3\/3 - 586*l**2 + 4592*l\/3 - 3040\/3 = 0.\nAnswer: 1, 4, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -43*k**2 - 2*k - 4*k**3 + 4 + 10*k**2 + 34*k**2 to the form j*k + q + n*k**2 + x*k**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2070 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: Suppose 4*x = n - 303, x - 5 = 6*x. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13 and 3179527?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14444516*z**2 + 16036969*z wrt z?\nAnswer: 28889032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 + 2)\/(-4 - -1 - -1). Suppose i = -5*c + 3*n + 15, -3*c + 5*n + 7 = -2. Suppose y**2 - 1\/2 + y**c - 1\/2*y**4 - 1\/2*y**5 - 1\/2*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-38)\/54720*40)\/(3\/9).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from {b: 12, r: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*t**2 + 3*t**2 + 0*t**2 + t**2 + t**2 - 4*t**2 + (-t**2 - 3 + 3)*(2 + 3 - 4) + 2 + 4*t + 2*t**2 + 3*t - 5*t.\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1273 > 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -358 = -6*d - 490. What is the smallest value in d, 0.062, -3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 1)*(-571 + 92*f + 571).\nAnswer: -92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 10893408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 10 + 4)*(-230 + 230 - 18*q)*(q + 3*q - 3*q).\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -10\/3 bigger than 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 5954373 divided by 160929\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 122, 247, 372, 497, 622?\n\"Answer: 125*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 3104867170 to the nearest 1000000.\nAnswer: 3105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*j*l**3 + 2*j*l - 1703*j - 92216*l**3 wrt j?\nAnswer: -8*l**3 + 2*l - 1703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -144*s - 1006 - 290 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j + 5*j + 5*j - j - j + j + 4*j - j - j + (0*j + j + 0*j)*(1 + 1 - 1) - 4 - j + 4)*(2*j + j**3 - 2*j)*(-49 + 10 - 11).\nAnswer: -650*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8285879*l**4 + 675*l**2 + l + 541 wrt l?\nAnswer: -198861096*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*n + 3*s - 25, 235 - 238 = 4*n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 2*x**3 + 35*x**2 - 670*x + 472. Calculate v(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 492 a factor of 204778272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 225 a factor of 9525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 361 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 20174699 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*z = 26*z + 25*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -84*g**5\/5 + 496*g**4\/5 + 23*g**3\/5 - 2437*g**2\/5 - 1064*g\/5 + 816\/5 = 0.\nAnswer: -3\/2, -1, 17\/42, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 53*s - 19*s - 1.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 447258, 894591, 1341924, 1789257, 2236590, 2683923?\n\"Answer: 447333*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 604382.\nAnswer: 2, 302191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -c + 4*c. Suppose 3*l - 4 - 5 = -u, 5*u - 33 = -3*l. Let i(o) = 3 + o - o + u*o. What is i(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 5*1*(3 - 2). Let t be 0 - 1 - (-18)\/(-6). Let w = 1 + 3. Which is the nearest to 0.2? (a) y (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 49 and 2127664.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c**2 - 3*c + 244 - 2*c - 241. Let b(g) = g**2 + 5*g - 4. What is 3*b(u) + 4*m(u)?\nAnswer: -u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 9411, 9446, 9491, 9546, 9611, 9686?\n\"Answer: 5*q**2 + 20*q + 9386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 - 14*r**2 + 16*r + 20. Let m = -4 + -11. Let d be c(m). Suppose 0 = 8*x - d*x - 879. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 30072689 and 30072695 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1004806 divided by 3.\nAnswer: 1004806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 0, 5*a + 1451 - 50451 = 5*t. Round a to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*l - l - 82154 - 6759. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 571 (b) 0.5 (c) -11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3953 or -3925?\nAnswer: -3953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/15 and 73\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 3, o: 8}. What is prob of sequence ofoo?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((o*(o\/(o\/(o*o\/(o**2*o*o*o))))\/o)\/(o**3\/o))\/(o**(4\/9)\/(o**2\/o)))**(-28))**40 assuming o is positive.\nAnswer: o**(44800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 5*o = -6*o + 20, -3*o = 15. List the prime factors of (12\/(-30))\/((-1)\/x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -778 + 2038. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 - 2)\/((-2)\/4). Suppose 33*n - 62*n + 348 = 0. Suppose -n = 367*h - 371*h. What is the highest common factor of g and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 + 92. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m. Let s(i) = -1287*i. What is a(s(w))?\nAnswer: 1287*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 19717026 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**3 - 5*b**2 + 4*b - 2. Let y be o(4). Let m be 1\/(y\/14 + 0). Let z = 7 + m. Solve z = -0*v + v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 - 138*l**2 + 42*l + 4494. What is j(-138)?\nAnswer: -1302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -576, -1577, -2578, -3579, -4580, -5581?\n\"Answer: -1001*h + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -126*k*m - 12*k - 1530*m - 2 with respect to k.\nAnswer: -126*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 265197, 265198, 265197, 265194?\n\"Answer: -l**2 + 4*l + 265194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + -3. Let j(z) = -2*z**2 + 15*z - 22. What is the least common multiple of j(3) and 5 + -2 + 4\/i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -427 (base 10) to base 8\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 109155 and 8265?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 33*s**5 + 5*s**4 - 21*s**2 - 5. Let x(c) = -c**4 - c**2 + 1. Let t(r) = -5*x(r) - y(r). Find the third derivative of t(i) wrt i.\nAnswer: -1980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*t + 4*t + 6. Let o(x) = -x - x - t*x. Let n(h) = -4*h**2 + 5. Let w(j) = -2*j**2 + 2. Let s(r) = -2*n(r) + 5*w(r). Determine s(o(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -7*o**3 + 30*o**2 + 224*o - 1. Give x(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/36*14\/(-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 3*o = -1, 3*l - 2*o - 15 = 6. Let u be (125000*-20)\/l + 0. Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 52 + -21. Let l = a + -19. Suppose -4*j + l = -3*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1376932, -2753882, -4130828, -5507770, -6884708, -8261642?\nAnswer: -9638572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*b - 34979 = -2093. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 1 = -n. Let h = 27 + n. What is the highest common divisor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -25 + 61. Let a = z - 35.84. What is a rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -123 - -124. What is the nearest to a in 0.4, 4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 4 (b) 48 (c) -23 (d) 222\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-7 + 1)\/(-2) + -2. Let b = 10 + -15. Put b, o, 2 in descending order.\nAnswer: 2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*u - 2*i, -7 - 2 = -4*u + 3*i. Is -2\/57 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 2*o**2 + 5*o - 2. Let s(d) = -d**3 - 4*d**2 - 5*d - 3. Let j be s(-3). Suppose -j*y + 5*m - 4*m = -6, -3*y = -2*m - 3. Is t(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(242) + 2 + sqrt(242) + 2 + 6*(sqrt(242) + (-1 + sqrt(242) - sqrt(242))) - ((sqrt(2420)*1 - sqrt(2420))\/sqrt(10) + 3))**2.\nAnswer: -880*sqrt(2) + 15513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -97 (base 11) in base 15?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1571*o = 2074*o + 58348 for o.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 24\/30 + 2\/10. Calculate the remainder when 3*69\/9*h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 363.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(624) - ((-5*sqrt(624)*1 + sqrt(624) - sqrt(624)) + sqrt(624) + sqrt(624))) + sqrt(624))\/(4*sqrt(12)*1).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*h**2 + 28 + 44*h**2 - 117*h**2 wrt h.\nAnswer: -140*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 8 = -z. Suppose 5*m = z*u + 120, 23 = 3*m - u - 59. What is the remainder when m is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 - 3. Let r(f) = f**3 - f**2 - 4*f + 5. Let d be r(0). Solve -2*b = d*g + 19, -b + 23 = -4*g - x*b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7 + 6 - 6)*(-24 + 70 - 37)*(-7*c + 5*c - 2*c) as t*c + a and give t.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -318 (b) 5 (c) 23 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*l**3 - 120*l + 104707 wrt l?\nAnswer: -24*l**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.6 - -5.6. Sort -0.4, 2\/3, y, 2\/9 in descending order.\nAnswer: y, 2\/3, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 - 13*h + 36. Let n be b(3). Suppose n*l + 3*l = 108063. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ouormrmruttto. Give prob of sequence rtom.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -381 and 0.051.\nAnswer: -380.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 355372883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4278 is divided by (6\/(-8))\/(19 - 1378615\/72556)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 112.4 + -112. What is the biggest value in 0.2, -1\/3, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 663714566 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2183525.\nAnswer: 5, 167, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -185\/12 + 59\/4. Suppose -2*l - 9 = -5*l. Let x = 50\/7 - 122\/21. What is the third smallest value in k, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -10, -2, 34 in descending order.\nAnswer: 34, 22, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - 23081?\nAnswer: -23083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 + 24 = 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 769019 - 769019 + 305*d.\nAnswer: 305*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2788 - 2653. What is the lowest common multiple of g and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3304348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 35\/11 + (-12)\/66. Suppose 77 = 3*q + 5*r - i*r, 3*q + 4*r - 85 = 0. Let y = q - 19. What is the remainder when 13 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 797029 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 44 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*sqrt(98))\/sqrt(2))\/(sqrt(252)*-3).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45350 - 23375 - 21975 + 17*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1346453675.\nAnswer: 5, 7, 7694021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1467125\/250 - 9\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -104.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -41*t - 16. Let v(a) be the third derivative of -a**4\/3 - a**3\/2 + 83*a**2. Calculate -2*l(n) + 11*v(n).\nAnswer: -6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**3 - 794937*u**2 + 52660800297*u - 52660005363.\nAnswer: 3*(u - 132489)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((15 + 0)\/3)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 513731 is divided by 10073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1035\/(-108)*3 + -6 + 23\/4 + 0?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 1 + 1 + 4 - 5 - 752*q. Let v be d(-4). Is 12 a factor of v\/34*4\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.1 + 0. Let v = 39 - 39.2. Which is the nearest to t? (a) -0.5 (b) v (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26991.6645 + 26991. What is c rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2623454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-6)\/27 + (-8600)\/(-38025))\/(-2*5). Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/677, 2, 2\/9.\nAnswer: 1\/677, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**4\/2 - 35*y**3 - 140*y**2 - 160*y.\nAnswer: -5*y*(y + 2)*(y + 4)*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*b + 44 = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 84 and 270?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -10320 equal to -10317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 791239271?\nAnswer: 197, 4016443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the first derivative of -3*h**2\/2 + 8. Let z(j) = -3*j. Give z(q(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 7834680372 to the power of 1\/5, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 2*o = 233, 3*g - 3*o - 817 + 133 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**3 - 9*v**2 + v - 8. Let j be u(-4). Let s = j + 135. What is the remainder when 171 is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 121 - 123.52. Which is the second smallest value? (a) 3 (b) y (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 3*u + 15 = 0, w - 3*u = -u + 9. Let o(h) = 5*h + 4. Let q be o(w). Let x(k) = k**2 - 2 - 6*k - 4*k + 4 + 0*k. Give x(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.07 and -1206709.59179.\nAnswer: -1206709.66179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 - 7*g - 12. Give i(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 111112130022 (base 4) to base 5.\nAnswer: 2413100223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 7:51 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -72, 41, -3871 in ascending order.\nAnswer: -3871, -72, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 26308 + -26308.00000046636. What is i rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 7*j. Let r(u) = 11*u - 101537. Determine m(r(w)).\nAnswer: 77*w - 710759","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j + 1. Let f(i) = 10*i - 5. Calculate f(h) + 4*x(h).\nAnswer: 6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 3*o + 17, 0*c + 4*o = 4*c - 36. Suppose -c*f - 2 = -3*l, 0 = -0*f + 3*f + 4*l - 22. Suppose 0 = -f*m - 0*m + 254. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -l**3 - 5*l**2 + l - 4. Let d be r(-5). What is the least common multiple of 10 and d\/(-4) + (-2)\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10951, -21900, -32849, -43798?\n\"Answer: -10949*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -3*j - j - 2 - 2*j**2 - 3*j**2 + 4*j**2. Let a be (216\/15)\/(-12)*(-90)\/(-27). Calculate s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h + 3*h - 2*h)*(3 + 3 + 0)*(-3 + 5 - 1).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*n**4 + 3*n**4 - 5*n**4)*(0*n + 0*n - 5*n) + (-4*n**3 + 4*n**3 + n**4)*(3*n - 2*n + 0*n).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 71 divide 117363710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v**4\/3 + 737*v**3\/3 - 736*v**2\/3 = 0. Calculate v.\nAnswer: 0, 1, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3406795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 4*d - 5*d. Suppose 0*s - 16 = -4*s - 2*r, 3*s = -d*r + 12. Suppose n + 4*u = s, -2*n + 38 = 3*u - u. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x**2 + 225*x + 1147. Calculate h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) be the first derivative of n**8\/140 - 2*n**4\/3 - 7*n**3 + 16. Let y(k) be the third derivative of o(k). Find the first derivative of y(f) wrt f.\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 3*i - 8. Let a be 1\/2 - 23\/i. Let v = a - -30. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -96, -93, -90?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14668.95 + -15009. Let d = y + 288. Let j = d + 51. What is j rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 1)*(1 - 16). Let u = -10 + q. Let i = -58 + 77. Solve -6 = u*v + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 0*k + 2*k + 0*k - 11*k - 83. What is the remainder when x(-16) is divided by 10\/25 + (-33)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/((-3)\/(-12)) - (-169930 - 24). Let c be (56\/70)\/((-4)\/v). What is c rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63579 + 127093 - 63514 + 3*g + 4*g**3 - 3*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3\/7, -3\/5, 25 in decreasing order.\nAnswer: 25, 3\/7, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 - -23. Let a = -682 - -692. Is a < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35 - 139893949*f**2 - 35 + 139893945*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 43 - 29 + 2*q + 31 to z*q + r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 747 and 136950?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -3*t - 82. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -49748 to the nearest one hundred.\nAnswer: -49700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 p when three letters picked without replacement from {e: 1, j: 3, u: 3, p: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 - 36*g - 9. Give f(-34).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) 51.4 (c) -3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 103 + 31?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -213.2 + 213. What is the smallest value in 0.3, -0.5, -2\/33, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 123211 - -12013312?\nAnswer: 12203123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8941996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 2 = -u. Let z = 235 + -188.92. Let f = z + -46. Which is the nearest to 0.1? (a) u (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h - 2*h - 380 = -5*v, -5*v + 4*h = -398. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-3)\/4)\/((-2)\/120). Let w = l - 24. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 17, 6\/11, -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 + 2*(-3)\/6. Let b = d + -1. Suppose -2*z + z = 5*y - 21, 0 = b*y + 3*z - 3. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2545*o**2 - 49*o - 349. Is f(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30313122.\nAnswer: 2, 3, 7, 127, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 528 and 28064.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*o = 275 + 1825. What is the highest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -12786, -12782, -12780, -12780, -12782, -12786?\n\"Answer: -l**2 + 7*l - 12792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 + -26. Let k = u - 9. Suppose -5*h + 28 = -4*w, -2*h = 4*w + w + k. Solve -12 = h*a + 2*b + 10, 0 = -5*a + b - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1643544 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 1, -1 in decreasing order.\nAnswer: 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 156670 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 8\/5, -5, -1.1, 2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 24 = 2*i, -4 = -0*g - 3*g + 2*i. Suppose -g*o = -708 - 92. Let u = o - 120. What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and 1955.\nAnswer: -195.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -3*w**2 - 22*w - 2. Let l be g(-8). Let m be (-4)\/l + (2 - (-50)\/18). Suppose m*k - 1338 = -k. What are the prime factors of k?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 1 = u, 18 = 3*u + 3. Suppose -o + 2*b = -0*b - 1, -5*b = -o - i. Solve -o*g + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 0)*(5 + 93*z - 14 + 9).\nAnswer: 186*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -13 divided by -2730777?\nAnswer: 13\/2730777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 - 5*o - 6. Suppose 12*i + 20 = 7*i. List the prime factors of h(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zl when two letters picked without replacement from ngnlzzpzgzg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/3)\/q)\/(q\/q**(-1\/6))*(q**(-1))**(2\/35) assuming q is positive.\nAnswer: q**(-179\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29123 - 58246 + 29123 + 4*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 477089 is divided by 342.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2409.5 + 1498232\nAnswer: 1495822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 199*g**2 - 201*g + 1814. Does 26 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 42312*z**2 - 284*z - 2340. Let s be c(-8). What is s rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -f**5\/2 - 3*f**4 - 13*f**3\/2 - 6*f**2 - 2*f = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-10)\/8)\/((-6)\/56)*3. Let t(y) = -b*y + 7*y + 11*y + 2 - y**2 + 14*y. Let s(d) = -d**2 - 4*d + 3. Suppose -i = -2*i + 2. Calculate i*s(p) - 3*t(p).\nAnswer: p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(-2)*32\/(-24). Suppose -6 = -4*r - 3*y, k*r = y - 2*y + 2. Solve 2*x - 5*x + 6 = r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(204) + 4*sqrt(204)))\/(sqrt(60)\/(sqrt(180) - sqrt(5))) + -2 + (-3 + sqrt(17) + -2 - (sqrt(17) - ((-3 + sqrt(17))**2 + -1))).\nAnswer: 18 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, w: 5, k: 1}. Give prob of picking 2 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 763481171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -850, -1695, -2536, -3373?\nAnswer: -4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14 - -9. Let w(k) = -4*k**2 + 6*k - k - k**3 - k - k - 5. Give w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2154548, 2154558, 2154568, 2154578, 2154588?\nAnswer: 2154598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccccciiiicciciciiiii. What is prob of sequence cccc?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 24 - 24.42. Let k = p + 10.72. Let g = k - 10.300082. What is g rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t + 3. Let f be v(-3). Let d = 995 - 1456. Let y = d + 462. What is the closest to y in 0.1, -0.2, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g + 3. Suppose 8 = -13*k + 10*k + 5*s, -3 = -3*s. What is r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 1771 = 3*m, 15*f + 2953 = 5*m + 13*f. Round m to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/3)\/(20\/30)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 5*a - 2. Let t(b) = -36*b + 15. Let k(v) = -15*q(v) - 2*t(v). Let d(y) be the second derivative of 2*y + 0 + 0*y**2 - 1\/2*y**3. Give k(d(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -326*v + 8862 = 96*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 172089731\/10445 + (-4)\/(-10)*2\/4?\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f - 10 = 17. Let b be f\/2*(-32)\/(-24). Solve -b*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 20*q**2 - 1443*q + 4 + 5 + 1439*q. What are the prime factors of l(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21.82 + 22. Let y = u - 0.98. Let v = y + 2.8. What is the third smallest value in -5, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of 1\/42*u**4 + 9\/7*u**2 + 4*u - 2\/7*u**3 + 0. Determine l so that f(l) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2*68.3\nAnswer: 13.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1976 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*l = 9*l - 165. Find the common denominator of (l\/105)\/(2\/(24\/(-15))) and 121\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 5*z**2 - 2*z - 2. Let a(t) = -t**3 - 5*t**2 - 3*t - 3. Give -3*a(g) + 4*w(g).\nAnswer: -g**3 - 5*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l. Let b(c) = 16*c**2 - 499*c + 499*c. Give b(j(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/30793923 and 169\/30.\nAnswer: 307939230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -29\/8, 171, -0.4 in descending order.\nAnswer: 171, -0.4, -29\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -12*c - 2. Let k(d) = -25*d - 13. Let v(x) = k(x) - 2*r(x). Give v(10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1883 - -1946. What is the highest common factor of 91 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*b**2 - 128155*b + 640650.\nAnswer: 5*(b - 25626)*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**3\/2 - 177*p**2 - 1089*p\/2.\nAnswer: 3*p*(p - 121)*(p + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 + 6*s + 5. Let u be r(-6). Let x be (-6)\/(-8) + 126\/56. Solve -u*a + x*a + 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 235 = 2*s + 69, -5*s = -2*v - 436. Let m = s - 81. Solve -l - 4*d - 4 = -3*l, -m*l = -d - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -33*s - 2. Let j(v) = 67*v + 5. Calculate 4*j(h) + 9*p(h).\nAnswer: -29*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least -14\/7734537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1\/4 (c) -2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -146587\/12 + 12225. Let z = 84\/25 + -1247\/200. Calculate the common denominator of r and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -12*y + 93. What is the remainder when n(5) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 81031 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 132 = 21*f - 30 - 69 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/7))**(4\/9)\/(((s**(-2\/7)\/s)\/s)\/(s\/s**(-1\/2)))*((s**(-2\/3))**21)**(-17) assuming s is positive.\nAnswer: s**(30449\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -4*d - 35. Suppose 18 = -7*k + 5*k. Let m be c(k). Is (11 - 6) + 528 - (1 - m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = 4*a - 118. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 21*u**2 + 5*u + 21. Let a(j) be the third derivative of -j**5\/15 - j**4\/24 - 2*j**3\/3 - 7*j**2. Suppose 49*q = 44*q - 55. Determine q*a(n) - 2*i(n).\nAnswer: 2*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 251022 (base 7) in base 9?\nAnswer: 70056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 - -6.4. Let m = -5.01 + 0.01. Let s be (1\/(-13))\/(11\/22). What is the nearest to 1 in m, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 2 = -0. Let s be 1\/((-1)\/1)*x. Sort -3, s, 5 in decreasing order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7 - -5802?\nAnswer: 5809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1717539119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2 - 4)*(s + 0*s + 3*s) + (-2 - 1 + 2)*(19*s - 3*s + 0*s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -11 - 12*s + 11*s + 24 + (-3 - 2 + 0)*(2*s + 2*s - 6*s)*(4 + 2 - 4).\nAnswer: 19*s + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/5*15\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5888777 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 2*t**2 - 108*t + 885. Calculate f(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*p**3 + 0*p**3 + 0*p**3)*(0*p - p + 5*p) + 4*p - 4*p - 9*p**4 + 2*p**3 + 3*p**2 + p**4 - 3*p**2.\nAnswer: -20*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 12999 to the nearest 100.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17874 + -11674. What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6948\/99 + (-10)\/55. Suppose w = 118*x - 125*x. Let v(b) = 2*b - 2. Determine v(x).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*(2\/(-4))\/((-4)\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t - c + 126 = 0, -2*c = 3*t + 2*c - 79. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 1, z: 1, e: 3, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand z**5 - 3*z**2 + 3*z**2 + (-z + 9*z + 21*z)*(-z**2 + z**2 + 2*z**4).\nAnswer: 59*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1429713\/5 or 285942?\nAnswer: 285942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -1) + -2 - (-1 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:48 PM and 12:57 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -256 - -2?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 29\/3 of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 32 + -28. Let x be (-49985)\/(-20) + p\/(32\/6). What is x rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -131301 smaller than -131299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -6*x - 96737. Let v(n) = -5*n. Determine v(s(d)).\nAnswer: 30*d + 483685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3211 (base 4) to base 6\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3731060 to the power of 1\/2, to the nearest integer?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(36) - sqrt(144)\/sqrt(4))\/sqrt(6))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 0, -38, -136, -324, -632, -1090?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -45\/2 - -131\/6. Let z = 7 - 3. Let f be -6*(-2)\/(-12)*(16 - 19). Which is the nearest to m? (a) -5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (((-7885)\/9)\/(3\/18))\/((-4)\/6) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = 0, -3523 = -d + 4*t - 3525 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000213008 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.46154 plus -3?\nAnswer: -2.53846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -22 + 3 + 6 + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1, 18, 63, 146, 279?\n\"Answer: 2*i**3 + i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.15 - 13.15. Let n = g + 11. Sort 4, n, -4 in ascending order.\nAnswer: -4, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the first derivative of 1\/30*o**5 + 0*o + 33 + 0*o**2 - 1\/360*o**6 - 1\/12*o**4 - 20\/3*o**3. Let x(s) be the third derivative of q(s). Give x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 28613 or 457791\/16?\nAnswer: 28613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6899 is divided by 621.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19236.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-6026161)\/(-161) + -10 - 8*(-2)\/(-28).\nAnswer: 3, 12473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 42198 and 3246?\nAnswer: 42198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 386 + -2682\/7. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(1\/2))**(-19)*v*v*v\/v**(2\/3)*v*v**(-5)\/v assuming v is positive.\nAnswer: v**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 3.9405419 + -7026457.\nAnswer: -7026453.0594581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13140171 divided by 398187.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/((a\/(a*a**5))\/a))**27*a**(2\/21)*a*a\/(a*a\/((a*a*a*a**7*a*a)\/a*a)*a) assuming a is positive.\nAnswer: a**(4202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/108 and 125\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -2\/11, -271, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-1\/2)*((n\/n**(-1\/4))\/n*n)\/n)**(-33)*((n**2*n)\/(n*n**(1\/3)))**(2\/39) assuming n is positive.\nAnswer: n**(-11543\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + t = 123, -5*h - 4*t + 96 = -21. Let f be (-2 - h\/(-5)) + 2. Suppose -5 = o - 4*c - 4, -f*c = -3*o + 4. Solve o*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -100331 - 10?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 3478900 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(-2\/17)*n))**(-15) assuming n is positive.\nAnswer: n**(225\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes after 2:34 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 464980 - 464980 - 19*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 0*l = 2*l - 3, -3*s = -3*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-5)\/5)\/((-4)\/12). Let m(b) = -31*b + 18. Let j(p) = -16*p + 9. Let u(x) = i*m(x) - 5*j(x). Find the first derivative of u(d) wrt d.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 + 21*d**2 + 29*d + 27. Let m be n(-19). What is the units digit of 8\/(-8) + m + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.675 * -0.1625\nAnswer: -0.1096875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 263*v - 269*v + 6 = 0. Let h(q) be the first derivative of 0*q**3 + v - 4\/3*q - 1\/6*q**4 + q**2. Factor h(p).\nAnswer: -2*(p - 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -37002, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - s - 4*s - 305, 2*x - 124 = s. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -271.756 and 0.4.\nAnswer: -271.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 4*z + 56, 140 = 4*x + x - z. Let f(i) = 15*i**2 + 2*i - 2. Let t = 20 - 19. Calculate the remainder when x is divided by f(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l - 19 + 3, 2*l = 2*j - 8. Suppose -3*i = -5*f - 10, 4*i = -j*f - 4*f + 24. Let x = -5 + 8. Solve 3*v - 1 + i = -2*z, x*v = -3*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2559?\nAnswer: 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -3*c**2 + 94. Let h = 213 + 1352. Let g(q) = h*q - 520*q - 525*q - 518*q. Calculate g(w(f)).\nAnswer: -6*f**2 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 45 and 18185?\nAnswer: 163665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5245 or 1167?\nAnswer: 1167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (40\/(-32))\/(2\/(-96)). Let t = x - 55. Suppose -t*y + 36 = 6. Solve 9 = 5*f - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5459.5416 rounded to the nearest 10?\nAnswer: -5460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (-2 + -1 - (1 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3 - -1 - (707\/(-77) + 7)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**16)**(-3) assuming n is positive.\nAnswer: n**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-42)\/(-6) + (3 - 4))*11. Suppose 3*p + 4 = 4*p, -3*s = 3*p - r. What is the highest common divisor of s and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(162)*1)**2*2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h + 0*h + h + (-2 + 1 + 7)*(3*h - 3*h + 5*h).\nAnswer: 29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -5*q**3 + 4*q**2 - q. Let w(a) = -4*a**3 + 3*a**2 - a. Let o(n) = -3*i(n) + 4*w(n). Suppose l - 2*l = -4. Suppose -t = j, l*t = 3*t. Calculate o(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -69 + 62 - (12 - -5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 2*m + 17. Let s be b(-6). Suppose 3*t + 3*h - 12 = -3, s*h = -t + 15. Solve t = -5*x, 0*d - 4*d - x = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 75693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 16*u - 4. Let i(t) = 16*t - 5. Let b(n) = 5*c(n) - 4*i(n). Let v(z) = -2*z**2. Calculate b(v(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1733 less than or equal to 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-2 + 0 + sqrt(50)).\nAnswer: -6 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 11 = -3*r, 2*n - 12 - 12 = 4*r. Let t be n + -2 + (-6)\/(-3). What is the units digit of 1\/(0 + t\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1586227836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (12*r + 59*r - 10*r)*((r - 2*r - 2*r)*(-1 + 1 + 2*r) - 5*r**2 + 2*r**2 + 2*r**2) in the form v + f*r**3 + z*r + q*r**2 and give f.\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 347815 and 7930.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2223 = -12*i - i. Let z be (18\/45)\/(i\/(-195) - -1). Which is greater: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 9 + 2*j + 2 - 14 + 1. Suppose 6*l - 40 = l. What is the tens digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-12*4\/(-3))\/2. Let u(w) = 72*w**2 + w - 1. Let k be u(1). What is the greatest common factor of k and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -111577923*i**6 + 12*i**2 - 13*i - 4008 wrt i?\nAnswer: -13389350760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31915.99969314 + 31916. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47580179 to the power of 1\/2, to the nearest integer?\nAnswer: 6898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 252591 and 44203425.\nAnswer: 44203425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -208 - 210 - j + 418. Let x(c) = -5*c - 6. Let l(n) = -4*i(n) + x(n). What is l(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -36107.2633 + 36104.26329999. Let q = 3 + b. What is q rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 29 and 464?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1473307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 3*b - 5 = 0, -2*p = 46*b - 45*b + 1. Factor 107 - 3*u - u + 114 - 223 + 4*u**3 + p*u**4.\nAnswer: 2*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -298*69\/(-10290) + -2. Let r = -145769\/3430 + g. Find the common denominator of r and (52\/12)\/(4\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 308599.22637 to the nearest integer.\nAnswer: 308599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the second derivative of i**5\/20 + i**4\/6 + 2*i**3\/3 + 3*i**2\/2 + 84381*i - 1. Suppose 5*d + 17 - 2 = 0. Give f(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/24)\/(7\/(-21))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (50\/(-40))\/(2 + 9\/(-4)). Which is the closest to 0.2? (a) r (b) -2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/3)\/(2\/(-18)). Suppose -z - n = -2*z. Let l be 2*54\/(-48)*-12. Solve 2*i - l = -3*i + f, i - z*f = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -109, -864.9 in descending order.\nAnswer: 0.1, -109, -864.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 4*a = 2*a - 45, 104*t - 190 = 102*t + 6*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3153 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -16718 = -3*r - 16679 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/(-3)*115*114\/3496.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 28\/((-140)\/(-705))*4\/(-2 - 10)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2222 is divided by 149.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -8*a + 25*a - 20*a. Let w(m) = 2*m + 1. Let v be w(0). Let s(d) be the second derivative of d**3\/6 - d. Calculate v*l(o) + 5*s(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*k**3 + k**3 - 9*k**3 + (k**2 + k**2 + 0*k**2)*(-1 + 1 - 2*k) + 0*k**3 + 3*k**3 - 2*k**3.\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 795744\/(-12240) + (-1885)\/(-29).\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 4*f**3 - 41*f**2 + 2*f + 2. Let g(z) = -z**3 - z - 1. What is a(l) + 2*g(l)?\nAnswer: 2*l**3 - 41*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 = -4*r - 5*h, 3 + 22 = -5*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 192*k - 447 = 78*k + 237 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 4*t - 21. Let k be d(6). Let y = 1053 + -957. What is the greatest common divisor of k and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 35 + -15. Suppose 5*r + 0*r = m. Calculate the remainder when ((-12)\/9)\/(r\/(-54)) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) be the third derivative of g**8\/42 - 2*g**7\/15 - 8*g**6\/15 + 22*g**5\/5 - 3*g**4 - 18*g**3 - 42*g**2 - 15. Find w such that y(w) = 0.\nAnswer: -3, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1030 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10001 (base 2) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 237 + -257. Let z be (-8 + 15 + -6)\/((-2)\/j). Solve 5*k - 3*h = 5, -3*h - z = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 138179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 5*f - 58 = 0, 3*k = -2*k + 4*f - 232. Find the common denominator of 17\/12 and (99\/k)\/(-1 - (-13)\/28).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3808*d - 11171. Determine w(3).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 2*a**2 - 8*a. Let j be (-4)\/3*(-30)\/20. Suppose -b + f = -2, -j*b - f - 8 = f. Let v(l) = -4*l - 2*l + 5*l + 0*l. Calculate b*i(z) + 6*v(z).\nAnswer: -z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j - 2*o - o - 17, -j - 4*o = 4. Let g be (7 - j)*-6*1. Suppose -4*t + g*t - 4 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*i - 32*i = -4060. What are the prime factors of i?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*k**2 + 15 - 15 + 19*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2718890 is divided by 453148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9255 - -9259. Solve 2*r - 4*q - 2 = 0, -4*r = a*q - 8*q - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22021 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -15828 divided by -2?\nAnswer: 7914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 5. Suppose -k + 19 = 4*b, k - v*k - 26 = -5*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (126*(-16)\/(-64))\/((-9)\/18).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-70)\/14175*9\/(-1)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 20*q**2 + 16*q + 60. Let w be s(19). Suppose -245 = w*u - 242. Which is smaller: u or 1\/26?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 97 - 83 = -2*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 46*y - 4 + 3 - 4.\nAnswer: -46*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 211020 + 24162\nAnswer: 235182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 300 = -5*h, -2*h = i + 2*h + 75. Let c be 490\/18 + 14\/i. Suppose 127 = 4*l + c. Solve 0 = 5*z - l, -2*p + z = 2*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvvw when four letters picked without replacement from {v: 7, w: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 3:22 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + i + 5, 0 = -2*g + 3*i - 7*i - 20. Solve h + g*h = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 + 98 = j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/206024 and 155\/1638.\nAnswer: 1854216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0678091467 rounded to four dps?\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 35\/36 and -115\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 - 64*i - 787. Determine u(-15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.003*-0.049.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + -2)*(-4 + 6). Let o(j) = j + 1. Let b be o(d). Let a(u) = -2*u - 2. Let n(k) = -1. Determine b*n(y) + a(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 6) in base 3?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -3213\/8471 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.768 (b) -0.2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 177*q - 139*q - 234346. What are the prime factors of q?\nAnswer: 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11907\/4 - 107321\/36. Find the common denominator of t and 3\/(-2)*(-1275)\/405.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 55 and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/(-6))\/((-1)\/(-39)). Let u(h) = h**2 - 28 - 2 - 35 + 16*h + v. List the prime factors of u(-23).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22400.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1286 + -1273 - (1*10)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(550)\/(sqrt(11)*-3 + sqrt(11)) + sqrt(50))\/(sqrt(100)\/sqrt(160)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of 10 and 191209.\nAnswer: 1912090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -135166.078 + 684895.\nAnswer: 549728.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 37 - 33. What is f in 1\/2*f**3 - 1\/4*f - 1\/4*f**b - 1\/4 - 1\/4*f**5 + 1\/2*f**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1027610 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 525 times -69.4781\nAnswer: -36476.0025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*u - u + u)*(-u**3 + 0*u**3 + 3*u**3)*(186 - 24 + 222) in the form d*u + q + y*u**2 + p*u**4 + w*u**3 and give p.\nAnswer: -1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 + (-14)\/(-28))\/((-1)\/24). Let t be 175\/(-105)*h\/(-5). Solve -11*q - t + 4 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1023 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -12121301 (base 4) to base 2\nAnswer: -110011001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 217532 and 756.\nAnswer: 5873364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 84120481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1660, 1513, 1384, 1279, 1204, 1165?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 198307019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in -1, 0.2, -2, 0.0464?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -4*a - 2*o - 4, -5*a - 3*o = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/(-3))\/(6\/(-27)). Let k(j) = -4*j**3 - 15*j**2 + 13*j + 13. Let s(b) = -2*b**3 - 7*b**2 + 6*b + 6. Give g*k(p) + 13*s(p).\nAnswer: -2*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -2770, -6201, -9652, -13129, -16638, -20185, -23776?\n\"Answer: -x**3 - 4*x**2 - 3412*x + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3529 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 6, l: 9, n: 4}. Give prob of picking 1 r, 1 n, and 2 l.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -56 take away -89528949?\nAnswer: 89528893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = -4*o + 2. Let h be -1 + -2*(-3)\/o. Let k = 9 - h. What is the lowest common multiple of 10 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12680 times -3?\nAnswer: 38040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -85404 + 140938. What are the prime factors of d?\nAnswer: 2, 27767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4093 and 7273261?\nAnswer: 7273261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2471*y**2 - 34593*y + 13. Determine g(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 673 + 15?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*v - 10893 = -10821 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*p + 1334 + 126, -d = 4*p - 1174. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 times -89.139?\nAnswer: 17.8278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001321492174 rounded to seven dps?\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(1216) + sqrt(1216) + sqrt(1216) + -4)**2 + ((sqrt(95) + sqrt(95)*1 - sqrt(95))*-6)\/sqrt(5).\nAnswer: -43840 + 762*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -185*o**4 + 183*o**4 + 8120 - 141*o**4 with respect to o.\nAnswer: -572*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p**3 + p**2 + 764*p - 1529. Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21360509?\nAnswer: 761, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 14 = 50. Suppose 4*g + 4 = b. Suppose 8*w = g*w. Is w greater than 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -488 (base 15) in base 4?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - 3*r + r)*(15 - 15 + 12*r) - r**2 + 4*r**2 + 0*r**2.\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 53240 - 31220?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 13*r - 7 + 2*r**3 + r**2 + 6 - r**2 in the form j*r**3 + l + w*r**2 + t*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -144*z**3 - 48*z**5 - 24*z**2 + 2*z**5 + 144*z**3 wrt z?\nAnswer: -2760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**4\/3 - 5*r. Let s(h) = -2*h**2. What is l(s(n))?\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -6*h**2 - 43*h + 42. Let q be n(-8). Suppose -5*c - 12 - 8 = 0. Sort c, q, 20, -2 in descending order.\nAnswer: 20, q, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from azizzizaaza. Give prob of sequence aa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6204 and 21.\nAnswer: 43428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of 0 - 1\/15*r**6 - 76*r + 7\/10*r**5 + 18*r**2 - 13\/6*r**4 - r**3. Determine l so that y(l) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the third derivative of 0*n**3 + 1\/80*n**5 - 1\/48*n**4 + 0 - 6*n**2 + 1\/448*n**8 - 1\/120*n**7 + 0*n + 1\/160*n**6. Factor x(u).\nAnswer: u*(u - 1)**3*(3*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.8, 6594, -12, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.803 - -3.803. Is 889 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -13 - -23. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5801641 and 2047638.\nAnswer: 34809846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 900\/10987?\nAnswer: 900\/10987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-8) - 42\/(-56). Which is the closest to 9\/5? (a) 4 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-15))\/((-65)\/15 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 0 - 2 + 3*u + 6. Let s(w) = -2*w - 8. Let j be s(-6). Let h(b) = -5*b - 7. Let c be (-7)\/(3 + -2 + 4 + -6). What is c*y(i) + j*h(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of -g**6\/120 + g**4\/12 + g**3\/3 + 5*g**2. Let a be i(0). Let v be 0\/(-4 - -8) - (-8)\/a. Solve 0 = 3*r - 7*r - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5718451 - -3749141. What is l rounded to the nearest ten thousand?\nAnswer: -1970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 135*c**3*j**3 + 10*c**3 + c**2*j**3 - 15*j wrt j.\nAnswer: 810*c**3*j + 6*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 - -11. Suppose 29*y - 24 - 40 = 81. Solve 3*c + y - 1 = j*g, 4*g = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/6 + ((-1144)\/(-39) - 23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 68437661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 101199\nAnswer: 5\/101199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 2 + 0)*(-2*r**3 + r**3 + 0*r**3) + r + 3*r**3 - r + (-3*r**2 - 2*r**3 + 3*r**2)*(-3 - 3 + 7).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**3 + 406*f**2\/3 + 6800*f\/3 - 2312\/3.\nAnswer: 2*(f + 34)**2*(3*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = -12*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 145 = 12*f + 37. Let b(p) = -p**3 + 10*p**2 + 10*p - 44. Does 68 divide b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13362 + -16101?\nAnswer: -32463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 15 + -6 + -8 - (-4)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 7*s**3 + 2*s**2 - 1. Suppose -3*c + 4 - 7 = 0. Let x be l(c). Which is smaller: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 303 minutes before 4:17 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 4714300 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 37*s - s**2 + 6 - 11*s + 0.\nAnswer: -s**2 + 26*s + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of 13*o**3\/6 + o**2 - 15*o - 2. Let c(i) = 4*i**2. What is c(t(v))?\nAnswer: 676*v**2 + 208*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 = -8*x - 32 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 16 + 1 = 0. Let j(l) = 14*l**2 - 2*l - 11*l**2 - 2*l**2. Let v be j(d). What is the greatest common divisor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**2 - 2*w + 3. Let f(h) be the first derivative of -4*h**3\/3 - 11*h**2\/2 + 16*h + 4. Let i = 2123 + -2112. Calculate i*b(u) - 2*f(u).\nAnswer: -3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oq when two letters picked without replacement from oqqsqsfoqssfsvs?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - (-1 + 12)) + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - 117976?\nAnswer: -117977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 469*l**2 - 35. Let a(m) = -40*m**2 + 3. Let r(p) = -35*a(p) - 3*f(p). Let d(g) = 215*g**2. Calculate r(d(i)).\nAnswer: -323575*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**(-3\/8)\/l)\/((l\/(l*l**(-4)\/l*l))\/l*l*l))**(-1\/10))**(-38))**(-14\/3) assuming l is positive.\nAnswer: l**(2261\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 - 6*x**2 + 4*x + 12. Let c be s(5). Let o = 195 - 379\/2. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**2 - 5*i + 2. Let k be l(5). Factor -4*o**2 - 4 + o**2 + 4*o - o**k - 12*o.\nAnswer: -4*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -3*i**2 - 211*i - 2293. Give y(-57).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (18\/(-4))\/((-25)\/(-10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of 0 + 0*f**2 + 20\/9*f**3 - 19*f + 1\/9*f**4. Factor m(i).\nAnswer: 4*i*(i + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 137 divide 980690662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -156*g - 325*g + 1924. Factor 14\/5*i + 0 + i**2 - 8\/5*i**3 + 1\/5*i**g.\nAnswer: i*(i - 7)*(i - 2)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(3 + sqrt(56)\/(sqrt(800) + 2*sqrt(800) + sqrt(800) + sqrt(800) - sqrt(800)))*-3)**2.\nAnswer: 243*sqrt(7)\/20 + 1166967\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11123213 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Suppose u + 5*l = 21, -5*u + l - 15 = 2*l. Let t = 87 - 5. Let s = t + -81. Put u, -3, s in decreasing order.\nAnswer: s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -170, -200, -228, -254, -278, -300, -320?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 96214 and 584?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hqhhq. Give prob of picking 3 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23 - 21 + 5*p + 1 + 8*p**2 to b + f*p**2 + d*p and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 72, 68, 62, 54?\n\"Answer: -i**2 - i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -19*d**5\/60 - d**4\/3 + d**3\/6 + 12*d**2. Find the second derivative of j(h) wrt h.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 + 8 - 2*j)*(35788*j - 3528*j**2 - 35788*j) to i*j + o*j**2 + w*j**3 + k and give w.\nAnswer: 7056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -193112*g**3 - 3*g**2 - 756813*g wrt g.\nAnswer: -1158672*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**2 - 4*c - 23. Suppose -3*r + 7*v = 3*v - 12, 0 = 3*r - 3*v - 15. What is the remainder when 52 is divided by g(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**3 - v**2 + 1. Calculate h(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2241 = -3*o, 3*y + y + 2*o = -4522. Let z = y + 1663. Suppose -j + z = 3*d, 4*d - 928 = -j - 214. List the prime factors of d.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 10*a + 60. Suppose -b - 4139 = -a*x, -10*x - b + 4131 = -5*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in -2*l**5\/23 + 3034*l**4\/23 + 45834*l**3\/23 + 192934*l**2\/23 + 150136*l\/23 = 0?\nAnswer: -7, -1, 0, 1532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1686815982.\nAnswer: 2, 3, 31237333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 6 + -7 - (7 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)*-2*-3)**2 + -1.\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 36*(-2 - 64\/(-12)). Suppose -v = -3*u + 27. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is q in 2*q**5\/11 + 24*q**4\/11 - 284*q**3\/11 + 688*q**2\/11 - 630*q\/11 + 200\/11 = 0?\nAnswer: -20, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 31, -3\/11, 0.4, -11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*m**3 + 515*m**2 + 3060*m - 28800.\nAnswer: 5*(m - 5)*(m + 12)*(m + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -25.02207 rounded to two decimal places?\nAnswer: -25.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -7\/10, -0.2, -0.3, -0.13, -0.5, 5, -171?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z*z**(5\/3))**(-1\/8)*z*z\/(z*z\/z**(-7))*z**(-14) assuming z is positive.\nAnswer: z**(-515\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/156 - 68\/1105*40\/(-3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/9*(-84)\/70)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 4*m**2 + 9. Let u(i) = 2*i - 20. Let p be u(17). Let j be (-4)\/8 + p\/(-4). What is the lowest common multiple of c(j) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-1*(-3)\/10). Let u be (3\/1)\/((-6)\/o). What is the derivative of 7*x - u*x + 0*x + 3 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -2*h. Let a(v) = 10*v**2 + 8. Let s(r) = -r**3 - 7*r**2 - 5*r + 4. Let t be s(-4). Let k(z) = z**2 + 1. Let p(b) = t*k(b) + 3*a(b). Give w(p(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -9. Suppose -3*t + 2*l = -p*t + 2, -1 = 5*t - l. Solve 3*j + 12 = -t*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -0*b - 4*b + 18, -5*b + 31 = 3*g. Let n be 0 + (0 - 1\/(-1)). Let f be -1*(3 + n) + -1. Sort 1, f, b.\nAnswer: f, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2104 + 2108. What is the nearest to -0.1 in -2\/9, -9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1311751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - y = -2*u + 15, -5*u = 3*y - 75. Let c = -5 + u. What is the smallest common multiple of c and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than or equal to -181\/262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -138908 (base 10) in base 3?\nAnswer: -21001112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {y: 5, f: 1, s: 2, t: 4, m: 4}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = h - 822, -2620 = -4*h + n + 693. Let z = h + -492. What are the prime factors of z?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**2 + 1. Calculate p(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 129879 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0 + 3 - (-20 - (-112 + 90))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -250922, -250958, -250988, -251012, -251030, -251042?\nAnswer: -251048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13426*d - d**2 - 631*d - 23537*d.\nAnswer: -d**2 - 37594*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -51 + 40*j**2 + 630 + 0*j - 2*j.\nAnswer: 40*j**2 - 2*j + 579","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -171, -342, -513, -684, -855?\n\"Answer: -171*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -783*l**5*t - 10*l + 16*t wrt l.\nAnswer: -15660*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/8)\/(5\/((-30)\/(-27))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 101 - 81. Is w > 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 5\/(-1)*(196\/10)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/83 (b) 2 (c) 318 (d) 0.13 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*l + a - 403 = -l + 2*a, 5*l = -2*a + 7*a + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001009068 rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1.6 - -1.5. Let l = -0.7 - -0.6. Suppose -n + 15 = -4*x, 3*n + 0 = -3. Which is the nearest to l? (a) i (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17955375 to the nearest integer?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40609, 40672, 40769, 40894, 41041, 41204, 41377, 41554?\nAnswer: 41729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1870352 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -446*g - 721 = -453*g. Suppose 110*z - g*z - 35 = 0. Solve -8 + 13 = z*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/(-3))\/(-4)*900\/800?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/6*((-114)\/12 + 8). Put q, -5, -2\/19, -3 in descending order.\nAnswer: -2\/19, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 21, 24, 45, 96, 189?\n\"Answer: 2*o**3 - 3*o**2 - 2*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -5*p**3 - 7*p**2 - 6*p + 2. Let w(b) = -b**3 - b**2 - b. Let d(y) = 6*w(y) - z(y). Let j(i) = i**2 - i - 1. Give -d(m) + 2*j(m).\nAnswer: m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -38*r**2 - 29*r - 40. Calculate f(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/7 - 38*b**2\/7 - 110*b + 806\/7.\nAnswer: 2*(b - 31)*(b - 1)*(b + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101010010 + -1010110011011110?\nAnswer: -1010101110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -223380+-304030315\nAnswer: -304253695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 - 4*o**2 + 14. Let u be a(4). Suppose -90 = -u*m - m. Solve m*k + v = k + 11, -v = -1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -10, 20, 130, 368, 782, 1420?\n\"Answer: 8*j**3 - 8*j**2 - 2*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1216 + 1741. Suppose -11*s - m = -11998. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -82, -351, -788, -1387, -2142?\n\"Answer: k**3 - 90*k**2 - 6*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 273343922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2416 + -2448. Is -255\/8 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5215 - -31009\/6. Let c = 47 + s. Let w = 0.37 + -3.37. What is the smallest value in 3, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 130\/(-2) + -3*(-8)\/(-12). Let c = a - -72. Suppose g - c*m = -0*g + 22, -3*m = -6. Calculate the highest common factor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8813\/60 + 585\/4. Calculate the common denominator of -119\/20 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, 0.4, 15, -7, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 206 divide 17304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(-5 + sqrt(1900) + sqrt(1900)*1)*5)**2 + -4 + -5*(-2 + sqrt(1900) + (sqrt(1900) + 1)**2))*3.\nAnswer: -540450*sqrt(19) + 20559003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -55*i**3 + 9*i**2 + 5*i - 5. Let n(q) = -28*q**3 + 4*q**2 + 2*q - 2. What is -5*n(x) + 2*z(x)?\nAnswer: 30*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -197 + 202. Let v(w) = -98*w**3 - 103*w**2 + 5. Let u(n) = 98*n**3 + 103*n**2 - 6. Let r(z) = q*u(z) + 6*v(z). Find the third derivative of r(h) wrt h.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -2*c**2 - 2*c + 9. Let b(v) = -1. Determine -3*b(y) - r(y).\nAnswer: 2*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -23906 at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 - ((-3 - (-8 - -3)) + -1). Solve q = 3*o - 2, -i*q - o + 8 = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (27*x**5 - 14*x**5 - 9*x**5 + 3*x**4 - 3*x**4 - x**5 + (0*x**4 + 0*x**4 - 2*x**5)*(2 - 3 - 1))*(0 + 2 - 1)*(-2 + 1 + 0).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.07 - -0.45. Let l = -0.03 - 0.11. Let r = k + l. What is r rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3624.30906 - 3623.8. Let u = -8.4 - -8.91. Let n = j - u. Round n to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(108) + 1 + sqrt(108) + 1 - (sqrt(108) + 0 + sqrt(108) + -4)) + (sqrt(108) - sqrt(108)*1*1)*-1 + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a = j + 10, a = -3*j + 13 - 8. Solve -2*v - 14 = -l, j*v + 2*l = -v + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 61640 and 23115?\nAnswer: 184920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1529 + -1393.8. Let n = a + -798.2. Let g = -663.1212 - n. What is g rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -353047.258857 - -353047. Let y = q + -4.939613. Let m = -5.2 - y. Round m to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -97 (base 10) in base 12?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -80 + 85. Calculate the remainder when 27 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 681468, 1362988, 2044508, 2726028?\n\"Answer: 681520*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2*j + 6. Calculate w(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -1\/3 (c) 52 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 23 + -23. Suppose h = j + 3*j - 176. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -179*i**3*l**2 + 24*i - 2*l**2 + 2*l - 1310 with respect to i.\nAnswer: -537*i**2*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1331635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 0*j - 3*j + 15 = 0, -9 = -3*k - j. Suppose -k*p + 422 = -3*b + 7*b, -p - b = -208. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -332650 divided by -6653\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3, 2, 0.2, 18, -2953, 41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4070559500 rounded to the nearest 1000000?\nAnswer: -4071000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3212 a factor of 313825248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) be the first derivative of l**7\/21 - l**4\/12 + l + 4. Let v(h) be the first derivative of t(h). Find the third derivative of v(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -83ac8 (base 14) to base 15\nAnswer: -641eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0 (c) -12 (d) -0.1 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -2580158, -2580168, -2580194, -2580242, -2580318?\n\"Answer: -s**3 - 2*s**2 + 3*s - 2580158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*i = g - 7*i - 8, -2*i = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 100, -8, 21 in increasing order.\nAnswer: -8, 21, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -164.45 + 78075?\nAnswer: 77910.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-197*l + 34 + 31 - 65)*(-2*l + 3*l - 4*l + (2 + 2*l - 2)*(2 - 4 + 3)).\nAnswer: 197*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (10\/(-25) - ((-312)\/30 + 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 966\/207*(-15)\/25*(-10)\/(-4). Let r(f) = -2*f**3 - 14*f**2 + 3*f + 4. Give r(j).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -24*x + 113. Let z be y(-7). Let u be (-1458)\/(-7)*7\/(-5). Let b = u + z. What is the common denominator of 47 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 11*s + 12*s + 1 - 22*s + 7. Calculate the remainder when c(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2158986 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 1 = -5*k. Suppose u + 17 = k*w - 2*u, u = -5*w + 17. Suppose 5*h = w*h + 19. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2120202020020020 - 2?\nAnswer: 2120202020020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 53173 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6372.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 36\/66695 and 14\/1667375.\nAnswer: 1667375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 19*j + 9 - 5 + 0.\nAnswer: 19*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 117898*q**6 + 11012*q**2 + 4*q - 1 wrt q?\nAnswer: 14147760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of o**3\/6 - 3*o**2 + 3*o. Let s(u) = -u + 5. Let p = -1 - -6. Let z(y) = p*d(y) + 6*s(y). Calculate z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -8*s - 20. Let c be a(-14). Let n = -92 + c. Solve -o + 2*v + 18 = -5*o, o + v + 4 = n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -617*w - 4936. Let m be g(-8). Let q = -1 - -1. Let k = 2 + q. Which is the closest to 0.06? (a) k (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -320*s**3 + 24882 + 24878 - 49760 - 122*s**3.\nAnswer: -442*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1178\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-12)\/9*(-1 - 2). Let c(m) = 3*m**2 + 3*m - 3. Is 19 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -119, -174, -229, -284, -339?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**(1\/2))**(-15\/2)*(i*i\/i**1*i)**15 assuming i is positive.\nAnswer: i**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -3*n - 4 + 3 + 3*n**2 + 0*n**2 - 4*n**2. Let w be s(-2). Find the first derivative of 1 - w + 3*a - 4 wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -12434 (base 8) to base 15\nAnswer: -1904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -4.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 64\/9 (b) -2 (c) 8 (d) -4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (296*t + 3 - 623*t + 321*t)*(-3 + 3 + 5*t) in the form x*t + f*t**2 + y and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -4*c**3 + 27*c**2 + 17*c - 66. What is x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/((-6)\/(-1)) - 86\/6. Let q be (-72)\/v*217\/62. Suppose 2193 = q*c - 5673. Is c a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225419 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/5772004 and -83\/33656?\nAnswer: 11544008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*c**5 + 3*c**5 + c**5 + (-2*c**2 - 3*c**2 + 4*c**2)*(-2*c**3 + 4*c**3 - c**3) - c**5 + 2*c**5 - 2*c**5 + c**5 - 4*c**5 + 11*c**5.\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 4*b - 126, -3*t + b + 45 = -32. Calculate the remainder when 151 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 22 and 178585319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 54271*h**3 - 1 + 0 + 1 - 54165*h**3.\nAnswer: 106*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 187 = -436*m + 437*m. Solve -m + 145 = 7*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 - -3. Let g = 49 + 101. Let c = g + -70. Calculate the highest common divisor of p and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -40*h + 1540. Let r be z(38). Solve 0 = -2*l - r + 32 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**3 + 6*j**2 + 19*j - 83. What is the remainder when 461 is divided by w(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 757 - 415. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(2\/7)\/(c**(-6\/11)*c)*(c\/(c**(1\/5)\/c))**(-20\/3) assuming c is positive.\nAnswer: c**(-937\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 at most -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 6) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the first derivative of r**5\/120 + 8*r**3 + 55. Let l(k) be the third derivative of v(k). Let z(x) = 5*x**2 - 2 + 2. Determine z(l(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3570 = 16*t - 3682 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -515, -516, -517?\n\"Answer: -t - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 123*j**3*w*y**3 - j**3 + 34*j + w - 4*y**3 - 5 with respect to y.\nAnswer: 369*j**3*w*y**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 350544 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 3*w + 30 = 0, -4*a = -6*a + 3*w + 17. What is the highest common divisor of 169 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 2, g: 3, k: 2, w: 8}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 2*s = 1 + 3, 19 = -2*c - 5*s. Find the first derivative of -1 + 2 + 0 + 1 - c*b**3 wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 5b5b7bd?\nAnswer: -5b5b7bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2845.\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -3*x - 67 + 70, 3*h + 4 = 4*x. Let f(a) be the second derivative of -1\/2*a**2 + 1\/4*a**4 + 1\/6*a**3 + a + 0. Give f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 15 - (1 + 2\/2). Let j = 17 - t. Solve -4*b + 3*n = -j, 5*b - 2*n - 15 = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 499405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 - 5 = -i - 2*f, 23*f - 22*f + 8 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 5:53 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1332, 11161, 37974, 90267, 176536?\n\"Answer: 1416*b**3 - 4*b**2 - 71*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 - 2*o**2 + 0*o**2)*(-2 + 1 + 3)*(4 - 3 + 1).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1135 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/27 and -115\/138348?\nAnswer: 138348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 615 and 1455213.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 - 6*r + 2 + 2*r**2 - 6. Let n be m(7). What is the third derivative of 0*g**2 - 3*g**2 + 0*g**3 - g**n wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from assfskyssyksfassa. What is prob of sequence ykf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66145 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21.90263 + 0.03263. Let x = -22 - w. Let n = 0.27 - x. What is the nearest to n in -5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -139*g**2. Let j(w) = -8*w**2. What is m(j(a))?\nAnswer: -8896*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (22*h**2 + h + 81 - 81)*(-2 + 2 + 2).\nAnswer: 44*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of -z**6\/4 - 17*z**5\/10 - 27*z**4\/8 - 7*z**3\/6 + 3*z**2\/2 + 1331. Find i, given that q(i) = 0.\nAnswer: -3, -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.51010066357363 and -2.\nAnswer: -2.51010066357363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 820 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9805457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1\/2))**46*r\/(r\/((r*r**16)\/r))*(r**19\/r)\/r*r)**28 assuming r is positive.\nAnswer: r**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 29.8925 times 4?\nAnswer: 119.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11170520*h**2 - 11170587*h**2 - 84*h + 2 + 84*h.\nAnswer: -67*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (7 - 0)*2\/2. Suppose -3*w + y*w = 8. Solve w = -3*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18605 - -30614. List the prime factors of x.\nAnswer: 83, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -34. Suppose -38*v = -8*v - 870. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9217 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/30584 or -2?\nAnswer: -1\/30584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -c + 13. Suppose 0 = -2*k + 2*q + 2 + 6, 3*k - 14 = 2*q. What is the remainder when 11 is divided by r(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -9*10*(-4 + 290\/75). Suppose -d*z = -13*z + 124. What is the remainder when z is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - ((-7 - -4) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 - 22*q**2 + 19*q - 61. Let a be w(-23). Suppose v + 2*y + 37 = 6*v, -y + a = 3*v. Solve -2 = -3*u + 2*o + 5, v = 2*u + 3*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7 - -11. Suppose -3*v + 6 = -0*j - l*j, 2*j + 5*v - 10 = 0. Suppose j = 4*k - 13 - 3. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 819493646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z. Let y(i) = i**3 - 8*i**2 - i + 6. Let g = 9 + -1. Let c be y(g). Let t be s(c). Is t smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3\/2 + 33*f**2\/2 + 113*f + 156.\nAnswer: -(f - 39)*(f + 2)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 746*n - 3 + 1212*n - 2415*n + 0 - 5177*n**2 + 2 wrt n.\nAnswer: -10354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**2 - z. Let v(r) = 391*r**2 - 385*r**2 + 3*r + 0*r - 7. Let k(n) = -5*a(n) + v(n). Let g(p) be the first derivative of k(p). What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-3*sqrt(2793))\/(sqrt(108) - -1*sqrt(108)*-2)*5.\nAnswer: 105*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 33*w**2 + 86*w - 35. What is the units digit of s(32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -87\/942910 and 33\/8.\nAnswer: 3771640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h - h + 6*h)*(-2*h - 3*h + h)*(30 + 159 - 2).\nAnswer: -5236*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -4*k - 40. Let i be w(-11). Suppose 0*l - 5 = -x - 5*l, -i = -4*l. Let v be (-4)\/(-2)*(-6)\/(-4). Solve x = b + 2*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*n**2 - n**2 + 4*n - 1 - 3*n)*(37*n**2 + 21*n**2 - 16*n**2) as y*n**2 + w + a*n**3 + t*n + g*n**4 and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*i - 1139*i + 474*i + 58898 = 0 for i.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -4*y - 2. Suppose 5*d - h = -3 + 23, 4*d = -y*h + 16. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/60*20\/400*50.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 16) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssiitiit. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*l - 50. Let z = 35 - l. Suppose 34 = 5*h + 24. What is the greatest common divisor of h and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g = g - 6*g. Let o be (g - (-2)\/9) + (-94)\/423. Suppose o = -s + 34 + 31. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 127 + -130. Let f = -5\/12 + 1\/6. Let h = 0 - 1. Put f, s, h in increasing order.\nAnswer: s, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -17*r + 135. Let g be s(8). Let f = 0.0316 - 0.0066. Which is the second smallest value? (a) 1 (b) 2\/5 (c) f (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.5131777 litres?\nAnswer: 513.1777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -136 + 140.1. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor w**4\/6 + 3*w**3 - 92*w**2\/3 - 160*w.\nAnswer: w*(w - 10)*(w + 4)*(w + 24)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -17388*v. Let z(j) = -2*j**2. Calculate z(w(r)).\nAnswer: -604685088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of -4\/9*x**3 + 0*x + 1\/3*x**2 - 2 + 1\/6*x**4. Find b such that t(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -484*r + 5593 = -10026 + 3035 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2)*q)**13\/((q\/(q**11*q))\/(((q**(-20)*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, -4\/29, 5 in descending order.\nAnswer: 5, -4\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(-2)*f*f)**(1\/3)\/((f*f**(-14))\/(f**6\/f)) assuming f is positive.\nAnswer: f**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43 - 28. Suppose 14*q = -8*q + 2948. What is the remainder when q is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-2))\/((-2)\/(-2)). Let i = -75 - -70.06. Let g = i - 0.06. Put -0.2, v, g in ascending order.\nAnswer: g, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2. Let m(r) = 5 - 4 - 13 - 8 + r**2. What is s(m(h))?\nAnswer: -h**4 + 40*h**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2052)\/89262*58\/(-84).\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a - 7. Let x be t(10). What is the second derivative of 23*c**3 + 27*c - 13*c**3 - 4*c**x wrt c?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -160.2 - -160. What is the closest to -1\/3 in -5, 5\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the first derivative of 3*n**5\/5 - n**4 - 1149*n - 800. Differentiate q(m) wrt m.\nAnswer: 12*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 287504\/392*2\/4 - -5. Let k = 372 - j. Which is the biggest value? (a) k (b) -0.3 (c) -4\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 246850509, 246850508, 246850507, 246850506?\nAnswer: 246850505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -13 (base 15) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide (1 - 3)*1*(-20)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x**3 + 578*x - 579*x - 5 + x**4 + 3 to the form j*x**2 + k + t*x**4 + w*x + r*x**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -5*u + u. Solve q + u*q - 5*t - 15 = 0, -3*q - 2*t + 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5959*g**5 - 8003*g.\nAnswer: 119180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2476 a factor of 1354372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 26 + 103 = -3*u, 0 = -4*u + 3*h - 80. Let l = -11 - u. Calculate the highest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11010 (base 2) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, x: 4, m: 6}. What is prob of picking 4 x?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2309968, 2309969, 2309972, 2309977, 2309984, 2309993?\nAnswer: 2310004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, n: 3}. Give prob of sequence nunn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - 0 - (1 - 6). Let r = -23079 - -23075. Put 3, r, m in ascending order.\nAnswer: r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 1053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4042, -6542, -9076, -11644?\nAnswer: -14246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of f**2 - 12*f + 4*f**3 + 31 - 1\/2*f**4. Factor p(w).\nAnswer: -2*(w - 6)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 9*p**2 - 34*p + 37. Let f(k) = -29*k**2 - 7 + 12*k**2 - 32 + 33*k + 9*k**2. Let c(g) = -4*f(g) - 3*o(g). What is y in c(y) = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -720, 4, -9 in ascending order.\nAnswer: -720, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1086088 + 1681659. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 22 + -22. Let s = 13\/57 - -2\/19. Which is the closest to z? (a) 2\/7 (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d**4\/7 - 305*d**3\/7 - 10793*d**2\/7 + 2745*d\/7 + 97056\/7 = 0 for d.\nAnswer: -32, -3, 3, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.33 in -3, -2\/19, -2\/3, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18*(-28)\/8 - (963 + -946)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 17016811937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:32 PM and 8:23 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 7\/2*w + 21*w**3 + 4*w**4 + 57\/2*w**2 - 3 = 0. What is w?\nAnswer: -3, -2, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 12, 1, 264 in decreasing order.\nAnswer: 264, 12, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60, 119, 178?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -11 - 7 + 5*y - 20 + 4. Is g(14) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52461 = -19*b - 48*b. What is the greatest common factor of 54 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 99*j**2 + 2*j - 1. Determine f(1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-30*p + 31 - 31)*(-2 + p**4 + 2).\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(475) + -2 - sqrt(475)) + (sqrt(209)*-4)\/sqrt(11).\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 75935018*f**4 + 2*f**3*s**3 + 3*f*s - f - 219836*s**3 wrt f?\nAnswer: 911220216*f**2 + 12*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*j**2 + 6*j**2 - 5*j**2 - 3 + (0*j - 4*j + 6*j)*(0 + 0 - j) + 0*j - 2*j**2 + 0*j.\nAnswer: -3*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 3*p = 45. Suppose 0 = -0*r - 5*r + p. Sort -1, -4, r in decreasing order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**10*p*p**39)**(-42) assuming p is positive.\nAnswer: p**(-2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.5567 centimeters to meters.\nAnswer: 0.035567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 68.6*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 422 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3640 - 5980. Let g be (-4)\/(-26) + (-160)\/c. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.1898 - 0.1102. Let v be -2 - (-3 + -1) - -2*1. Which is the third biggest value? (a) v (b) -2\/61 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -233*n - 574. Determine d(-3).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -h**2 - 4*h + 26. Calculate the least common multiple of g(0) and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 12*l**2 - 2*l + 6. Let h(c) = -10*c**2 + 2*c - 7. Give 5*h(w) + 6*m(w).\nAnswer: 22*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -2, 7, 22, 43, 70, 103, 142?\n\"Answer: 3*o**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -c3ed (base 15) in base 7?\nAnswer: -231460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -986 divided by 493.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1069 - 1794*k + 1080 - 2149 + 1794*k - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 10 = -j. Let r be (5\/2)\/(((-5)\/(-2))\/j). Suppose -r*u - 2*d = -550, 4*u - 2*u - 3*d - 201 = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**5\/k**(-8))\/((k\/(k\/((k\/(k**6\/k))\/k)))\/k**(-6)))\/(k**(-2\/5)*k**(-3\/5)*k**1\/(k\/k**(-2\/3)*k)) assuming k is positive.\nAnswer: k**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17309 - 14848. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -14, 0, 7\/3, -1\/9, -1, -5?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in nineteen quarters of a millisecond?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 503879 is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j be -8*2\/(-16) + 2 + 14. Let x(l) = -l**3 + 16*l**2 + 16*l + 35. What is the least common multiple of x(j) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 10587 = 2*g + 3*g, 5*g - 10603 = 2*s. Let m(h) = -1063*h + g*h - 1060*h. Let c(d) = 16*d. What is c(m(z))?\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -74*q**4 - 58*q + 24*q**2 + 73*q**4 - 6*q as x*q**2 + b*q**3 + o*q + g*q**4 + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 + 9*j**2 + 72*j - 416. Let r be t(5). Let w = 3 - 0. Suppose -2*m - w = -11. What is the highest common factor of r and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - 1)*(1 - 4). Suppose -d = -4, -3*f + 5*d + m + 1 = 0. What is the smallest common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 12*(-2)\/36*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -28 in 1\/8, 15, 2\/11, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, -19, -2366\/15, -1.5 in descending order.\nAnswer: -0.3, -1.5, -19, -2366\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 47352873269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -180323092 by 45080773.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2 + 10*z - 21. Let q be u(7). Which is the third smallest value? (a) -1\/4 (b) q (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 474 + -325.8. Let y = s - 148. What is the third smallest value in -5, y, 0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/14 - (-96)\/7. Suppose -2*k + k = -f. Suppose -m = -5*m + 72. Calculate the lowest common multiple of m and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -34*u + 638. Does 10 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3593.029 + 3587. Let p = c + 6.61. What is p rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*j**3*y + j**3 + 98*j**2*y wrt j.\nAnswer: -36*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5930 - 5936. Which is the second smallest value? (a) 9 (b) 17 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -286*a**2 - 1716*a - 1716. Let q(o) = -o - 1. What is m(l) - 1716*q(l)?\nAnswer: -286*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k + 228 - 2274. Suppose d = 103 + k. Suppose -x + d + 222 = 3*r, 3*r = 5*x + 684. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7 - 2 - 9)*(397*g + 251*g + 2 - 2 + 10 + 4) in the form r + d*g and give d.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -30 by -30.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a - 59*a = 17*a + 83*a. Which is smaller: a or -0.0453?\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from leelaplegleeeeeeee. Give prob of sequence al.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of 0*g + 0 + 1\/3*g**4 - 1\/60*g**5 - g**2 + 0*g**3. Is c(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s + 2. Let z be d(3). Suppose r = z*i - 1002, 4*i - 804 = -5*r - 14. Let o = 287 - i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.6127239 minutes to days.\nAnswer: 0.004592169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from aasassyssaasy.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(448) + 0) + -1 + sqrt(448) + 2 + (2 + sqrt(448) + sqrt(448) + sqrt(448) - sqrt(448))*-4*-6)**2.\nAnswer: 36848*sqrt(7) + 992033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33, -41, -61, -99, -161, -253, -381?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.128 - -0.372. Let p be (-40)\/(-25) + (-2 - -1). Which is the closest to 1\/4? (a) i (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 111, 239, 367?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10535*m + 27290*m + 17944*m + 7527*m.\nAnswer: 42226*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4, q: 5, c: 2}. What is prob of picking 2 j and 2 q?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 2 w, and 1 m when four letters picked without replacement from {o: 1, w: 7, m: 3, b: 3, y: 2, x: 2}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 69*d**4 + 2*d**2 + 65 wrt d.\nAnswer: 276*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 114217409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-19 - -79 - 32).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2765, -2798, -2845, -2912, -3005, -3130, -3293, -3500?\n\"Answer: -c**3 - c**2 - 23*c - 2740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -6dc93a (base 15) to base 2.\nAnswer: -10100000011011011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventy-nine halves of a millennium?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 19020*i - a = 19016*i + 3*a - 8, -a + 23 = -4*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0891 * -0.7.\nAnswer: 0.06237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8579957457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 8*t - 6. Let n be f(-8). Find the common denominator of -33\/4 and (-3)\/5 - 177\/n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/3293, -1, 3\/4, 2\/27 in decreasing order.\nAnswer: 3\/4, 2\/27, -2\/3293, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 + -1846159036.\nAnswer: -1846159036.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 4*z = 42, -5*s + 3*z = 6*z + 84. Let q be 39\/4 - s\/(-20). Let x be (1 - -18) + 2 + -3. Calculate the highest common factor of q and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:44 AM and 8:53 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 - 1667*k + 59569. Give c(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**2 + 21*s + 94. Let a be l(-15). Suppose 20*t - 2*p - 16 = 18*t, t = -2*p - a. Solve -5*y - 4*n = t, y + y = -4*n - 4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) + 3*sqrt(112)*5 + (-1 + sqrt(112) - sqrt(112))*1)**2.\nAnswer: -128*sqrt(7) + 28673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*t + 52*t - 10 - 28*t.\nAnswer: -4*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 101 - 15. Let x = -44 - t. Let y = 0 - 0. Is x greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5791244?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 0)*(-3*g + g + 7*g) - 4 + 4 - 2*g + (5 - 2 - 2)*(4*g - 2*g - 3*g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (sqrt(13) + sqrt(13) + -1*sqrt(13) - sqrt(13))*-2 + -5 + 4 + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -j**2 + 5*j + 18. Let h be s(7). Let f(w) be the third derivative of -1\/8*w**h + 1\/20*w**5 + 0*w**3 - 5*w**2 + 0*w + 0. Factor f(i).\nAnswer: 3*i*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide ((-308)\/(-55))\/(2 + (-8)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 4 (b) -2\/65 (c) -0.065\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -108*k - 20. Let m(s) = -3*s - 11. What is m(g(y))?\nAnswer: 324*y + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor u**4\/3 + 293*u**3\/3 + 1153*u**2\/3 - 295*u - 1734.\nAnswer: (u - 2)*(u + 3)**2*(u + 289)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 34 (base 6) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3284, 0.12, -0.1, -6 in decreasing order.\nAnswer: 3, 0.12, -0.1, -6, -3284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 78*13\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.95315 and 0.5.\nAnswer: 1.45315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-175)\/15*(-19)\/(190\/(-30))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -4*p**2 + 3*p + 2. Let q(c) = 7*c**2 - 5*c - 3. Calculate 5*l(r) + 3*q(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ye when two letters picked without replacement from yyyyeweeyeeeye?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -14 - 20?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 78 = 5*v, 2*v - c = -2*v - 60. Let u = v + 20. Suppose u = -0*f + f. Calculate the greatest common factor of f and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/21*(-35)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 4397946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32 + 72. Let d be (-476)\/(-10) + 16\/s. Does 12 divide (d\/10)\/(9\/45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - 1300 - 696. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the second derivative of -y**5\/10 + 2137*y**4\/22 + 106*y**3\/3 + 31*y + 140. What is z in b(z) = 0?\nAnswer: -2\/11, 0, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1055900 and 2111800.\nAnswer: 2111800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4699*v + 379*v - 24954*v.\nAnswer: -29274*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 AM and 8:01 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:56 AM and 12:08 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 + 3*u**2 - 6 + 3*u - u**2. Let v be 3\/(-7) + (-512)\/112. Calculate k(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**1*v*v)\/(v\/v**(-1\/2)))\/(v**(2\/9)\/v*v**3\/v) assuming v is positive.\nAnswer: v**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(1053) + sqrt(1053)*4 + sqrt(1053) + sqrt(1053) + sqrt(13).\nAnswer: -3 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 646\/5 + -10319\/80. Let i = 6\/37 - -1043\/185. Find the common denominator of i and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3590929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 177013\/16 + -11068. Find the common denominator of w and 3\/28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 - 10. Let z(h) = -3*h. Let l(j) = -2*j + 1 - 1 - 3*j. Let p(k) = n*z(k) + 5*l(k). Let u(g) = -2*g**2. Calculate u(p(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 4*a = -19, -2*y - 122 = -3*a - 105 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -3*x - 5. Let f be n(-3). Suppose -3*i + 32 = i + 4*q, -q = f*i - 17. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**3 + 21870*c**2 - 21879*c - 43746.\nAnswer: 3*(c - 2)*(c + 1)*(c + 7291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = -15*c + 10*c - 21, -c = -4*d + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*k**3 + 10*k**3 + 181*k**2 + 83*k**3 + 40*k**2.\nAnswer: 171*k**3 + 221*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 25 = -5*r, -4*k - 8 = -2*r + 2. Suppose -36 = -5*g + x - 2*x, -4*g + r*x + 52 = 0. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -4*a**3 - 115*a**2 - 104*a - 314. Calculate j(-28).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -4*q. Let s be i(-1). Solve -3 = -2*f + 3*p - 7, -s*f + 10 = 3*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 30772 + -3024?\nAnswer: 25746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 6*p - 2*p - p - 2*p. Let f be r(2). Suppose f*d - 7 = 1. Let z(y) = y**3 - 5*y**2 + 5*y - 6. Give z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the third derivative of 1\/96*d**5 + 1\/960*d**6 + 1\/64*d**4 - 3\/16*d**3 + 0*d + 0 + 11*d**2. Factor z(p).\nAnswer: (p - 1)*(p + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3904 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 101 and 1236752878?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, p: 1, x: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 688 divided by -16.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -182 + 150 - (-41 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -98878 less than -8842?\nAnswer: 90036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g + 6*g**2 + 4 + 3*g**3 - 2*g**3 - 2*g**2. Suppose -4*r = 4*j + 8, 3*r = -5*j - 0*r - 14. Let m be d(j). Solve p - 4*p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u = 3 - 15. Let b be 5 + u - (1 + 1). Solve 2*s = b + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 127215332 to the power of 1\/3, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - -11022112?\nAnswer: 11022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (9\/(18\/(-20)))\/(-2). Suppose -4 = -l*c + 4*c. Do c and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-280)\/(28 - 14) - -30\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.04 or 0.74?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.7652 + -0.2348. Let x = -2.8 - -5.8. Which is bigger: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -24 + -5 - -3) + 0 + (6 - 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 5*p**3 + 10*p - 60*p + 48*p - 8*p**2 + 13*p in the form n*p + d*p**3 + s*p**2 + q and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -200*y**2 + 200*y**2 + 2 - 4*y**3 - 2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -3*t**2 - 14*t + 11. Suppose 5*y + 2*w + 29 = 0, -4*w = -5*y - 8 - 9. Let s be n(y). Calculate the highest common divisor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 - 15*m - 17. Determine q(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 + (-3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4433 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 o when four letters picked without replacement from qqooyyoyqoqoq?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -5110120 (base 6) in base 11?\nAnswer: -156134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (162750\/68355)\/(5\/126)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 8\/25 of a microsecond?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 51463254.\nAnswer: 2, 3, 8577209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -3*t - 60, -189 = 3*z - 3*t + 27. Let k be (z\/(-18) - 3)\/((-105)\/(-10)). Is k at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -4*s - 2. Suppose -10 = -9*q + 4*q. What is v(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 246550261 (base 7) to base 12.\nAnswer: 52968a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -384 + 416. Calculate the greatest common divisor of 160 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*u + u + 2*u)*(3*u - 260*u**2 + 190*u**2 + 8*u**3 + 173*u**2) to the form a*u**4 + x + d*u**3 + c*u + p*u**2 and give d.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-31)\/((-310)\/4))\/((-4)\/5)*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 8*u - 7. Let n be r(-6). List the prime factors of 34 + n\/((-5)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 581746 and 682.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 78532 divided by -19633\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2946*f**3 + 3928*f**2 - 7856*f + 7856. Let d(v) = 2*v**3 - v**2 + 2*v - 2. Determine -3928*d(p) - l(p).\nAnswer: -4910*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 9*z - 2. Let n(v) = -10*v + 2. What is -3*j(t) - 4*n(t)?\nAnswer: 13*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 109185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 2 - (-31 - -35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2\/(-6) + 228\/9 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-2*sqrt(162) + 4 - -4*sqrt(162)*2)**2 + (sqrt(12)\/sqrt(384) - ((sqrt(896)\/sqrt(7))**2 + sqrt(2)))).\nAnswer: -28600 - 17245*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-11*u**2 + 3*u**2 + 3*u**2)*(5 + 5 + 3) - 6*u**2 + 7*u - 7*u as l + d*u + o*u**2 and give o.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -d + 4. Let w be l(4). What is the remainder when 0 + w - (-15 + 2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.6 + 0.6. Let j = -24.1 + 24. Sort j, 1, l in ascending order.\nAnswer: j, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 5819*w**3 - 5830*w**3 - 5*w**2 - 1 - 4. Let b(x) = -5*x**3 - 3*x**2 - 3. What is 5*b(a) - 3*k(a)?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1408 and 248832.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -454223*p - 1. Let g(v) = 13*v**2 + 12. Calculate m(g(a)).\nAnswer: -5904899*a**2 - 5450677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1654623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -36 - 157*a - 11 + 74 - 31 as r + y*a and give y.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Solve 6*p + 18 = 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -f**4 - 3691*f**3 - 22061*f**2 + 180499*f - 243210 = 0.\nAnswer: -3685, -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1055, -696, 1081, 4276, 8889, 14920?\nAnswer: 22369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n - 6. Let m be a(6). Suppose 3*t = -g + 1, g - 1 = 3*t - 0. Is t not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes after 8:12 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 + 16*b**2 - 20*b - 31. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*i + 2 - 2)*(-5 + 2 + 1) + 2*i - i - 3*i)*((2 + 3 - 2)*(3*i - 3*i + 2*i) + 15 + 2*i - 15).\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 90*p + 5. Let k(i) = -i + 1. Let j(m) = k(m) + w(m). Find the first derivative of j(f) wrt f.\nAnswer: 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -10 + 372594?\nAnswer: 372584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = a + y - 1, -a - 5 = -y. Let k(z) be the first derivative of -1\/2*z**4 + 1 - 4\/3*z**3 + a*z - z**2. Factor k(c).\nAnswer: -2*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.86 - -1.36. What is the closest to -1 in -0.5, -0.6, t?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of -17*c**2\/2 - 24187. Let f(u) = -26*u. Suppose 32 = -4*z + 4. Calculate z*a(b) + 5*f(b).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -276*a - 462*a - 2234 + 22898 = 0 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 2*g**3\/9 - 20*g**2\/9 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12634, 23388, 34134, 44866, 55578, 66264?\nAnswer: 76918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -10 + 8 + (-15 - 2)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 431.2319518 to one dp.\nAnswer: 431.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide 3862715 by 137.\nAnswer: 28195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-39)\/(-33) + 2 - 3. Let q = 2 - 3. Let z(x) = -5*x - 58. Let h be z(-11). Which is the closest to q? (a) -3\/4 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -100002220200 (base 3) to base 10.\nAnswer: -179271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p - 2*q + 3*q + 2, 0 = p + 5*q - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.5 and -47.37?\nAnswer: 47.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -12*k + 23*k + 55. Sort k, 4, -4, 0, -10.\nAnswer: -10, k, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in -7, 5, 4, -1\/9, -3.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 9:16 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 50397320274.1 - -0.1.\nAnswer: 50397320274.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 28 - (-9 + -9 + 31)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16170 and 32340?\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - -2. Suppose -24 = y*k - 13*k. Suppose -2*t + k = 2. Solve 3*g - t = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*z**3\/3 + 20*z**2\/3 = 0. Calculate z.\nAnswer: 0, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a = 373\/9 - 4085\/99. What is the nearest to -1\/5 in a, 4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 7*x**2 - 1. Let z be r(1). Let k(c) = 0*c + 1 + c**2 - z*c + 2. Let f be k(5). Is f less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 102.45 - 106. Let l = w + 2.7. Let a = -0.05 + l. What is a rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96267 = 34*u - 37*u + 3*l, 0 = -3*u - 3*l + 96309. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2703320375?\nAnswer: 5, 7, 83, 37223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-88*i**3 - 95*i**3 + 11*i**3 + (-2*i**2 - i**2 + 2*i**2)*(5 - i - 5))*(i - 3*i + i).\nAnswer: 171*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -85 and 26239.4.\nAnswer: 26154.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 21106 - 20824. Which is smaller: j or 285?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yxx when three letters picked without replacement from {x: 3, y: 12}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -136*c**4 - 517 with respect to c.\nAnswer: -544*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**0*v*v)**(19\/3)\/((v*v\/(v**(1\/2)\/v))\/(v\/((v\/((v*v**3*v)\/v))\/v))) assuming v is positive.\nAnswer: v**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -2*f**2 - f - 1. Let i(n) = 11*n**2 - 5*n + 2. Determine -i(y) - 4*w(y).\nAnswer: -3*y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 682 a factor of 3791238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 6271 - 3671 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 534 + -524. Let y be (-5)\/p - 1*(-81)\/160. Which is greater: y or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4, -1856, 23, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/3618 and 5\/6678.\nAnswer: 1342278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) + -2*(4 + sqrt(19)) - (sqrt(19) - (sqrt(1900) - (sqrt(1900) + 2))))**2 + 3.\nAnswer: 40*sqrt(19) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 95799453*b*w**5 - 7*b*w**2 - 16079*b*w - 11355*w wrt w.\nAnswer: 1915989060*b*w**3 - 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14423938 and 1528.\nAnswer: 57695752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5790 is divided by 5018.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -127*f**2 + 5*f. Let w(v) = 12391*v**2 - 412*v - 8. Let m(x) = 185867*x**2 - 6161*x - 122. Let t(a) = -4*m(a) + 61*w(a). Calculate 488*b(r) + 5*t(r).\nAnswer: -61*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 22402381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*d + 9*d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 34234620*p**3 + p**2 + 167357154*p + 2?\nAnswer: 205407720*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v + 2*h - 195 = 0, 5*v - 212 = 4*h + 13. Solve -3*j + 16 = w, 24*j = 22*j - 5*w + v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**3 + 6*z**2 + 6*z - 1. Let g be t(-5). Let j = 8 + g. What are the prime factors of j\/(-4) + 85\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h**3 - 4 - 14*h**2 + 15 - 83 + 60*h = 0. What is h?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 4. Let y(i) = -2 + i**2 - i + 0*i + 0. Let q be y(2). What is the nearest to q in -4, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4393 a factor of 258260077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 145807414 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.21 - -0.09. Let u = -2 + 2.04. Let g = u - 4.04. Which is the third smallest value? (a) 0 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -6*h + 4. Let u be -1*2\/6*-15. Calculate w(u).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 + 7. Suppose 3*w = 6, 5*i - i - 2*w = j. What is the closest to 1\/4 in 0.2, 2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14836654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -370*p = -76*p - 4485 - 513 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22 + -15. Let k = -13 + y. Which is greater: 1\/4 or k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -388406479*p**2 - p - 232924928 wrt p?\nAnswer: -776812958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - n + 0*n)*(-3*n + 5*n - 3*n)*(-5*n + 5*n + n**2) + (-4 - 3 + 3)*(-n**4 + 2*n - 2*n).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-33) + (-2212)\/(-308)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -59, 29, 2 in ascending order.\nAnswer: -59, -11, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 43 - 9 - (-35 - -6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.11 times 14?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**2 - 3543*o + 10602.\nAnswer: 3*(o - 1178)*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*p + 12 - 42. Let q be (-3 - 4\/p) + 12\/(-4). Which is the third biggest value? (a) 0.1 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -b**4 + 2196328*b**3 + 2196329*b**2 = 0.\nAnswer: -1, 0, 2196329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 8 = 143. Suppose -b*s + 30 = -32*s. List the prime factors of s\/(-9) + 328\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9449657 a multiple of 1609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/(-12))\/(4\/(-18)). Let j(g) = 5*g - 3. Let v(a) = -a + 1. Let t(k) = -j(k) - 4*v(k). Determine t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 671 and 10858.\nAnswer: 119438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 8872*c - 8874*c - 76 + 252 as f + v*c and give f.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 968 a factor of 30727144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -13130222 - -20?\nAnswer: -13130202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10869725?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(495)\/sqrt(324))\/(sqrt(5) + (sqrt(280)\/sqrt(7))\/sqrt(8)).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5522 + 622 = r - 4*b, 3*b = 9. Is r a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -248, 0 in descending order.\nAnswer: 0, -5, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -4*t**3 + 2*t**2 + 20*t - 32. Is 56 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3379910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = f - 1, 0 = -3*v - 5*f + 40 - 3. Suppose b - v = 0, -6*b + 12 = 2*r - 3*b. Solve r = -4*a - 2*g - 16, 22 = -4*a - 0*g + g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1 + sqrt(13) - sqrt(26)\/sqrt(18))**2.\nAnswer: -16*sqrt(13)\/3 + 196\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/382 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j + 4*j + 0*j)*(2*j + j + 0*j + (-2 - 1 + 2)*(-j - 2*j + 5*j) + 3*j - 5*j + 0*j + 2*j + 0*j + j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -41871*q = -41801*q - 1400 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -4*v**2 + 8*v + 5. Suppose 6*i - 10 = 8*i. Let t(n) be the second derivative of n**4\/12 - n**3\/6 - n**2\/2 - 2*n. Give i*t(q) - h(q).\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of -7.6 and 483.9046.\nAnswer: -3677.67496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -871\/1239 - 2\/177. Let u = -46\/3 - -193\/21. What is the common denominator of g and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -16*q - 18*q + 17 + 32*q as o + h*q and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -151 = -18*n - 62*n - 71*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1014*h - 424*h + 28975 = -569*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 306 (base 10) in base 9?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - y + 6 = 0. Let g = y + 15. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -2*u + 9*u. Suppose 0 = n + 3*m - 56, 4*n + m - u*m - 238 = 0. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 56476 and 6.\nAnswer: 169428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1098 and 2156058.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + -14. Let z = 27 + u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -56 (base 11) to base 8.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 5*z**3 + 120*z**2 - 36*z - 10. What is w(-24)?\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + -5 + -32 + 43. Solve 0 = 49*r - 48*r - m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -691.4 - -696.4. Which is the biggest value? (a) -0.2 (b) -1\/3 (c) l (d) -5 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oonnnnooon?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69512534 is divided by 5921?\nAnswer: 5915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -2*i - 2. Let t be n(-2). Suppose -5*z + t*z + 9 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 7, 5\/2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18814698 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000747 to six decimal places.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 9636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 27\/9 - (1 - 3). Solve r - 4*u + 2 = 1, 0 = -t*r + u - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*y - 5*w - 7, -5*w = -3*y + 33 - 20. Put -1, 3, -7, y in ascending order.\nAnswer: -7, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/44 - (-72)\/(-154). Let p = 13 + -12.7. Let r = -0.1165 + 4.1165. Which is the nearest to l? (a) p (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (((-18774)\/525)\/((-3)\/20))\/(4\/(-10)). Which is smaller: -597 or i?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 60 = -f, -4*f - 5*l - 219 = -9. Let h be -1 - (f\/(-8))\/(-5). Which is the third biggest value? (a) h (b) -0.04 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.5 - -0.2. Let u = 4.8 - 5. Which is the second biggest value? (a) s (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:58 AM and 10:01 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.2 + -0.1. Let n = 0.9 - 1.4. Which is the nearest to 1? (a) f (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.771482 + 9.044943. Let q = -6.21946193 + z. Let a = q + -0.054. What is a rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 17 - 5*w - 11 - 6 - 10. Let r be n(-4). What is the second derivative of -86*k + 9*k**4 + 4*k**4 + r*k**4 + 111*k wrt k?\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 + 6*f + 2. Determine q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -780*w**4 + 3104*w**3 - 3836*w**2 + 1480*w + 32 = 0.\nAnswer: -4\/195, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract 14.206 from -4.\nAnswer: -18.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -11*f**2 - 17*f + 14. Let n = -280 + 285. Suppose -82 = 4*m - d - 12, -3*m + n*d = 61. Let c(y) = -4*y**2 - 6*y + 5. Determine m*c(t) + 6*x(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 - -330?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 2*d**3 + 27*d**2 + 18*d + 5. Let x be c(21). Suppose 4*q + x = -k + 8*q, -30785 = k + 5*q. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q + 13. Let a be 0 - 10*(-2 + 1). Let p be i(a). Suppose 119 = p*f + 8. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.1720529 plus 0.3?\nAnswer: -0.8720529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24701?\nAnswer: 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/2*0\/(5 + 14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -4*g, 11 = -i + 3*g + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 6522 = -8*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.664601 * 0.07.\nAnswer: 0.11652207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1136644 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-58)\/(-18) - 98\/126.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -520 - -1505\/3. Calculate the common denominator of -40\/9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 546 - -0.7.\nAnswer: 546.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2313784, -4627546, -6941296, -9255028, -11568736, -13882414, -16196056?\n\"Answer: u**3 - 2313769*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 141*v - 4 = 136*v + 3*p, 0 = -2*v + 2*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8570, 17139, 25702, 34259, 42810, 51355, 59894?\nAnswer: 68427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 > -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/11 - 152252*b**2\/11 + 2897888418*b\/11 - 11589117768\/11.\nAnswer: 2*(b - 38061)**2*(b - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-4\/7))**(-10\/13))**24 assuming p is positive.\nAnswer: p**(960\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15565 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 65604 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 5 - 20*n**2 + 13*n**2 + 9*n**2 - 4*n. Let s be j(1). Let a(y) = -3*y**2 - 2*y + 4. Give a(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 2*i - 5. Is 9 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (14 + 24 + 7 - 4)*(2*m**2 - 42*m + 2142 - 2142) as d*m**2 + x + l*m and give l.\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.09 and -88288553769.\nAnswer: -88288553768.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/u**32)\/(u\/(u\/u**(9\/5))) assuming u is positive.\nAnswer: u**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -35 + 36. Let z(t) = -5*t + 4. Let m(d) = -14*d + 11. Let l(y) = -4*m(y) + 11*z(y). Let o(n) = n + 1. What is g*l(s) - 3*o(s)?\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -27715*c**4 - 398*c + 9773972 wrt c.\nAnswer: -110860*c**3 - 398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*d = -4217 + 4085. Is d at least as big as 77\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 6 - 0. Does 2 divide 10\/2 + (r - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4229*d**4 + 2117*d**4 + 27 + 2111*d**4 - d**3 + 2*d + d**2 to i*d**3 + o*d**4 + r*d + w*d**2 + a and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 2. Let p = 34 - q. Let f = 10 - p. Which is the closest to 2\/7? (a) f (b) 5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.0923 (b) -21 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 465 + -424. What is the remainder when 199 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 213 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -119*m = -113*m - 12. Let o be (1 - 0)*3*1. Suppose -r + i + 15 = 0, -o*i = r + m*i + 9. Calculate the remainder when 21 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.3 * 4\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 + 6. Let j be 18\/32*(-1)\/6. Let i = 37\/32 - j. What is the biggest value in 0, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -6\/11 (b) 0 (c) -1\/2 (d) -176\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/(-11) - (-28 + 30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2393*i + 2394*i - 19819 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9137694.\nAnswer: 2, 3, 659, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*g - 19412 = -23*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6310.\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 2*sqrt(612))**2 + -1*sqrt(612) + -4.\nAnswer: 18*sqrt(17) + 2445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bkc when three letters picked without replacement from cdjddccbdkd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -452*j**2 - 23*j**3 - 41*j**3 - 32*j**3 + 149*j**2 + 303*j**2.\nAnswer: -96*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 2*k**2 + 2*k - 7. Let f(w) = -w**2 - w + 7. Let n(u) = -3*f(u) - 2*t(u). Let j = -2 - 3. Let o = j + 5. Give n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 41 + 20212121140?\nAnswer: 20212121231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -20 - -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2926583, 2926585, 2926587, 2926589, 2926591?\n\"Answer: 2*k + 2926581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -70055 (base 10) to base 4.\nAnswer: -101012213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14101626 and 7860?\nAnswer: 141016260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6\/24 + 951\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - 3. Let y be r(0). Let z be 2\/(-4) + y\/(-12). Sort 0, z, 0.1 in increasing order.\nAnswer: z, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 55\/4 of a millisecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 25178 - 8642. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -800\/3 + 267. Which is the second biggest value? (a) 1\/5 (b) u (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 26053 a multiple of 216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) 2\/7 (c) -5 (d) 126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.35 - -0.05. Let u = -6.7 - -6.8. What is the second biggest value in u, 2, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 242192806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 62 - 3*x - 61 + 16*x + (-2 + 2 + x)*(0 + 0 - 1).\nAnswer: 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 4, 19*h - 23*h + 5*n - 680 = 0. Let m = h - -388. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11980102 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/(-21))\/(6\/(-7)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -90*k - 66*k + 456*k in the form i + s*k and give s.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19709 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 432544584 by -4.\nAnswer: -108136146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 265*b**3 - b**2 + 1. Let d(o) = 530*o**3 - 2*o**2 - o + 3. Let c(m) = 4*d(m) - 7*v(m). What is the hundreds digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2510377 and 1803?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/((-360)\/516))\/((17\/(-102))\/(3\/(-6))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 20008 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 61 - 772. Let l = -710.561 - v. Round l to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -397*f**2 + 5824*f - 21637. Let s(t) = 198*t**2 - 2912*t + 10818. Let l(g) = -5*s(g) - 2*y(g). Find w, given that l(w) = 0.\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2536 and 959736520.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000000433709 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttttttkkttktttttk. What is prob of picking 2 t and 1 k?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 - 28 = -5*c. Let m(d) = -4*d + 3*d + d**3 - 3*d**2 + 4 + 8*d**2 - 2*d**3. Is 10 a factor of m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v + 2 - 2)*(2*v**3 - 4*v**3 - v**3) - 24*v**4 + 61*v**4 + 28*v**4 + 11*v**4.\nAnswer: 82*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13798004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -0*z + 12. Let n(o) = -2*o - 9. Calculate the remainder when ((2 - 3)\/(-1))\/(-2)*-20 is divided by n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 6*t**4 - 2*t**3 - 12*t**3 + 218 + 14*t**3 - 8 + 3*t**3 as q*t**4 + g + w*t**3 + f*t**2 + h*t and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25*j + 65*j + 70*j + 64*j - 870 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = -2*l - 12, 5*l + 3*y + 54 = -y. Let d = l + 23. Let v = 14 - d. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2870, 2851, 2800, 2699, 2530, 2275?\nAnswer: 1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -642, -1279, -1910, -2535, -3154, -3767, -4374?\n\"Answer: 3*v**2 - 646*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09797273 rounded to three decimal places?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.08 + -0.38. Let c = 0.0283 - -1.9717. What is the second smallest value in -5, 4, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3021 + 1250?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.067 take away -0.27311?\nAnswer: 0.34011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -415 - 143 = -3*w. Let i = 218 - w. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, -66, -14, 4 in descending order.\nAnswer: 5, 4, -1, -14, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*i + 6*i + 344*i**3 - 3*i - 1205*i**3 + 4129*i**3 + 2*i**2.\nAnswer: 3268*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 49\/28*3\/(-7)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 39 + -18. Suppose -33*m + 3*d + 14 = -34*m, -d + 22 = 3*m. Calculate the remainder when 6\/r - 542\/(-14) is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*y - 315 + 352 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-20)\/(-25)*(-5 - 0). What is the common denominator of 49\/5 and (g\/(-14))\/(12\/161)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50597 (base 13) in base 2?\nAnswer: 100011000110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(144) - sqrt(144))\/(sqrt(1728)*-4).\nAnswer: -5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1531 - 595 = 18*n. Suppose -y = -7 - 45. Let i = n - y. Solve i - 12 = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -37*l + 14*l + 6 + 17 + 19*l. Let z be g(7). Calculate the common denominator of 47\/10 and (z + 29\/4)\/(6\/(-27)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6713 divided by -7?\nAnswer: -959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -15219*f**3 + 11026*f**3 - 5570*f**3 + (-2 + 0 + 3)*(f + 2*f**3 - f).\nAnswer: -9761*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 371*g - 110*g + 3226 = -6279 - 674 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -2.2437?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 434 + 9*k + 436 - 870 to o + n*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 2*g**4 - 14*g**3 + 22*g**2 - 10*g = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39230?\nAnswer: 2, 5, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add -17788 and -3341.\nAnswer: -21129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -7*t. Let c(g) be the third derivative of -23*g**5\/30 + 69*g**2. What is w(c(x))?\nAnswer: 322*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - sqrt(99)\/(sqrt(9)*-2 - sqrt(9)) - (sqrt(539) + -1))**2.\nAnswer: -34*sqrt(11)\/3 + 3188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 11*r - 65. What is q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 141227 - 125654 = -179*b for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15080854 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = 4*x - 27, -4*x = -0*u + 2*u + 6. Let g(a) = -2*a - 8. Let k be g(u). Find the first derivative of 8*s - k*s + 0 + 1 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -482 + 1007. Let z = h - 524.93981. Let s = 0.06 - z. Round s to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11100111100011 + 111111000110111?\nAnswer: 100010001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 - 16*z**2 + 17*z - 27. Let w = -34 + 49. Let x be c(w). Solve 10 = -x*b + 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 560926 - -3?\nAnswer: 560929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p + p + p**3 + (-p + 2*p - 4*p)*(6*p**2 - 3*p**2 - p**2) + 3 - p**3 - 3 to f*p + v*p**3 + s*p**2 + o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/3*52\/(-624)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39164736.\nAnswer: 2, 3, 13, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -95, 2, -166 in decreasing order.\nAnswer: 2, -95, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -57*x - 75. Let l be n(-2). Suppose -109 = -5*h - i, -i - l = -4*h + 41. What is the highest common factor of h and 294?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 66 (base 16) in base 4?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-4693)\/1805 + (-1)\/(-5)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -35 + 313\/9. Let u = -28 - -36. Let z = 7.8 - u. What is the nearest to 2\/9 in z, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 722*a - 32107 = -699*a - 3687 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -31211033 (base 4) to base 16\nAnswer: -d94f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (7 - 1)\/(-33 + 3915\/120)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 552651511?\nAnswer: 53, 10427387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 3*s)*(-195 + 350 - 419 - 721 - 315).\nAnswer: -3900*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-133)\/((-3325)\/(-390))*55\/(-22).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.8 and 0.00205.\nAnswer: -0.00369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1083 and 268862331.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (32*d**2 + 17*d**2 - 10*d**2)*(-d - d + 0*d) + (-2*d + 2*d**3 + 2*d)*(-1 + 4 - 2).\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, -22, -92, -242, -502, -902, -1472, -2242?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**2 - s. Let p(a) = 11*a**2 - 8*a. Determine 40*h(j) - 5*p(j).\nAnswer: -95*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 + l)*(-7*l + 7*l - 9*l**2) to the form y + b*l + n*l**3 + c*l**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the second derivative of -2*q**3\/3 + q**2 + q. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of (-43575)\/(-147) + (-2)\/((-14)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 946354 or 946545?\nAnswer: 946354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -5*o + 20. Let f be (-3)\/4 - 5*(-190)\/200. Calculate j(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.7 - 0.3. Let i = 31 - 33. Which is the nearest to m? (a) 3\/5 (b) i (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**2 - 319*q - 125486. Calculate u(-229).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7025.29 + -6996. Let f = 5.39 - q. Let r = f + 25. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3 + 2 - 3095*o + 3094*o. Let r(m) = m**3 - m + 7. Let g be r(0). Suppose -4*i + p = g - 5, -2 = 3*i - p. What is w(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 6 = 4*t + 5, a + 9 = -t. Let m(g) = -g**3 - 6*g**2 - 6*g + 8. Let q be m(t). Let n(y) = -y**2 - y - 13. Give n(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the first derivative of a**4\/4 + 4*a**3\/3 + 3*a**2\/2 + 1. Let i be -1*1\/(-1)*-1. Let f be 5*(i - 4\/(-10)). Calculate b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53932 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -640 + b**2 + 640.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*d + 5 = 2*t + 42*d, 2*t - 2*d + 2 = 0. What is the third biggest value in -247, t, 5?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = w - 3*q + 8*q - 7, q + 9 = 5*w. Suppose 0 = w*m + 2*x - 12, -2*m + 4*x + 5 + 1 = 0. Calculate the greatest common factor of 45 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -27.11. Let v = r + 0.09. What is the third smallest value in 1, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**3 + 519664*d**2 + 109261740*d + 5738556600.\nAnswer: -4*(d - 130126)*(d + 105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a**4 + a**4 + 4*a**4)*((-3 + 1 - 4)*(-1 - 9 - 2) + 3 - 3 + 1).\nAnswer: 365*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 8*a**2. Let p(b) = 18*b**2 + 46*b + 38. Let f be p(-14). Let g(u) = -5843*u + f*u + 2924*u. Give m(g(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 1 + 2 = 0. Let d(p) = -p**2 + 3. What is d(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -98291 by 227.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of 0 + 1\/4*o**4 + 0*o**3 - o**2 + 0*o. Let h(p) be the third derivative of -p**4\/12 + 6*p**2. What is g(h(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -8 less than 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 7, h: 5, w: 4}. What is prob of picking 2 h, 1 v, and 1 w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 88.7 minus -6257954?\nAnswer: 6258042.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 4*w - 18, 0 = -0*o + 5*o - 25. Solve w*z = -0*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 71913*g = 72547*g - 19654 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*j + 79 = -44 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -55 - 202300?\nAnswer: -202355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 144d71 (base 15) in base 16?\nAnswer: eede6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-9)\/30)\/((-52)\/520). Which is the closest to o? (a) 1\/3 (b) 1\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 125595095*q**2 + q + 160605805 wrt q.\nAnswer: 251190190*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.056 - -36.944. Let y = -36.54 + l. What is y rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 - -20. Suppose -4 = -c + j. Let a(u) = 4*u**2 - 6*u. Let g be a(c). What is the highest common divisor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3*z - 8. Let w be i(-4). Suppose 4*d + 28 = 5*v, -4*v + 5*v = 2*d + 8. Suppose 33 = 5*q + v*c, w*q - q = c + 13. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -89 - 3\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = b**2 - 11*b + 9. Determine c(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 11:22 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add -469 and -505020.7.\nAnswer: -505489.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -134276*b**2*g*t**3 + 50*b**2*t**3 - 26*b*t**3 - 2*b + 12*g*t**3 + 5*t**3 wrt g?\nAnswer: -134276*b**2*t**3 + 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3 - 2 - 4*q - 3 + q**2. Let b be y(6). Find the third derivative of p**6 + p**2 + p**6 - b*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 801*x**2 + 229*x**2 + 1 + 31*x - 1.\nAnswer: 1030*x**2 + 31*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**5 - 2*k**4 + 4*k**2 - 2*k - 2 + 0 + 339*k**3 - 335*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*z + 19 = z + 12*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h + 133262*h**3 + 0*h - 133228*h**3.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 4*o - 26. Let f be 4\/o*(3 + 1 - 2). Let f + 2\/7*m**2 - 6\/7*m = 0. Calculate m.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -2*n**2\/7 + 30930*n + 433028\/7 = 0.\nAnswer: -2, 108257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -10681 divided by -5760?\nAnswer: 10681\/5760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.153 or -3617?\nAnswer: -3617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.49794073 less than -62590?\nAnswer: -62589.50205927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7003*g**3 + 7022*g wrt g?\nAnswer: 42018*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 + w - 17. Let f be a(0). Suppose 43 = -4*u - 61. Let l = f - u. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 137 - 321*m**3 - 24*m - 267*m**3 - 145 + 194*m**3 wrt m?\nAnswer: -2364*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 464592369.\nAnswer: 3, 154864123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8103 = 2*y + 16*z - 11*z, -5*y - 20295 = 5*z. Let g = y - -9535. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 468 and 40081340?\nAnswer: 40080872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 14 = 4*v, -4*a - 146*v + 149*v = 49. Let d(w) = 5*w + 37. Calculate d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5*s**4 - 1415*s + 380635?\nAnswer: 20*s**3 - 1415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 770*u**2 + 88*u. Let l(y) = -2*y**2 - 33*y**2 - 5*y - 6*y**2 - 3*y**2. Calculate -5*i(b) - 88*l(b).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 - 7*n**2 - 7*n - 7. Let h be j(-6). Let i be 45\/6*8\/10. Let l = 25\/4 - i. Which is the biggest value? (a) l (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 239893, 479791, 719689?\n\"Answer: 239898*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 59 + -14 + 30 - (10 + (4 - -3) + -15)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k - 5*k + 1666 = 0. What is the highest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -13 - 1\/(3\/(-3)). What is the units digit of 2*26\/u*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the third derivative of -x**4\/12 + x**3\/6 + 4*x**2. Let w(b) = -5*b + 4. Let p(r) = -8*o(r) + 3*w(r). Differentiate p(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 + 14*t**2 - 8*t - 18. Let s(u) = -u**3 + 2*u**2 - u. Let k(q) = -j(q) + 6*s(q). What is the hundreds digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -211.551071 + 198.5510701. Let t = 13.25 - 0.25. Let h = t + c. What is h rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21751\/15686 + -9\/341. Find the common denominator of f and -49\/3.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 56*n**2 - 2*n - 1. Let y be j(-1). Suppose -160 = -6*t + 10*t. Let s = y + t. Solve 3*m + 5*p + 9 - 2 = 0, p = 4*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 286 - (-4)\/16*-4. Suppose -3*d = -0*d - o. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 521 + -1?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -122 in 4, -9, 17\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -4*k. Let b(s) = 73*s - 1. Calculate x(b(d)).\nAnswer: -292*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8652, -30474, -66858, -117816, -183360, -263502, -358254, -467628?\nAnswer: -591636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t**3 - 18*t**2 + 3*t - 29. Let s be k(9). Suppose 0 = 5*i + r + 30, r - 6*r = 3*i + 40. Let p be 2\/((-4)\/1)*2*i. Sort p, s, 0 in increasing order.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 5*r**2 + r**2 + 3*r**2 to the form l + u*r**2 + k*r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -7, -74, -193, -364?\n\"Answer: -26*y**2 + 11*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/4)*k*k)**(-3\/4)\/(k\/(k*(k**(-4\/9)\/k*k)\/k)*k**(-1)))**(2\/25) assuming k is positive.\nAnswer: k**(-253\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 723713, -2.\nAnswer: -2, 0, 723713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 613287, 613309, 613331, 613353, 613375?\n\"Answer: 22*l + 613265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 5981.75 micrograms?\nAnswer: 5.98175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 47 + (4 - 34) + -30.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 7051 = -4*q, -3*z + 3*q + 2203 = -18890. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 32, 61, 88, 113, 136, 157?\n\"Answer: -l**2 + 32*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -75, -1, 172, -3 in increasing order.\nAnswer: -75, -3, -1, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -3 + (-6 - -18 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -7*l - 37. Let d be a(-6). Suppose 514 = 5*r + 3*n - 182, 0 = d*r + 4*n - 693. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o**5\/2 - 57*o**4 + 522*o**3 - 879*o**2 + 825*o\/2 = 0.\nAnswer: 0, 1, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*u**2 - 38*u + 256 with respect to u.\nAnswer: 14*u - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = d - 91977, 5 = 3*d - 1. Let f = j - -41975. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 114267363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -3*q**3 - 21*q**2 - 20*q + 4. Let k be l(-6). Suppose k*h + 33 = 97. Solve -4*t - 22 = -0*t + 2*f, 0 = -2*t + 2*f + h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ffhhfffhhfhfffffffff. What is prob of sequence hhhf?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*g + 218 = -412. Put 4, -3, g in descending order.\nAnswer: g, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -4299449.805 and -1011.7.\nAnswer: -4300461.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 6, -2, -6, 0, 3, -5.\nAnswer: -6, -5, -2, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -5*b + 10. Let l(i) = -4*i + 9. Let g(d) = -3*l(d) + 2*t(d). Let p = 1884 + -1878. Determine g(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-10)*b)**(-22)*b**(-1)\/(b**(2\/5)*b) assuming b is positive.\nAnswer: b**(-1332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-33)\/(-891))\/((-1)\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 620481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 16) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23 - 21. Suppose 0 = 2*i - 5*t - 136, -j*i + 2*t = -67 - 69. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2929 times 44.55\nAnswer: 130486.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 132391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the second derivative of -24*h**6\/5 + 893*h**3\/6 - 2*h - 103. Find the second derivative of o(d) wrt d.\nAnswer: -1728*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (24\/(-3))\/(2\/(-8)). Suppose t = 4*p - 64. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + -363c?\nAnswer: -3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -53976*c**6 + 1351*c**2 - 3*c - 1?\nAnswer: -6477120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor l**4 + 62*l**3 + 975*l**2 + 2394*l.\nAnswer: l*(l + 3)*(l + 21)*(l + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 2*h**2 + 13*h - 5. Let z be s(-7). Suppose -3*n - 4 = n, 1 = z*m - 3*n. Put m, 0, -4 in ascending order.\nAnswer: -4, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - -0.03. Let m = -0.13 + n. Let s = -0.4 + 0.7. Which is the biggest value? (a) -2\/5 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 276331 + 9371.\nAnswer: 285702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -14 in 4, 3, -5067?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5.5 + -6. Let w = 0.61 + 0.09. Let p = w + g. Which is the second smallest value? (a) -1\/4 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8.29084 rounded to 2 decimal places?\nAnswer: -8.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -0.3, 2, -1\/7, -11, 20289?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 8*u = 14376. Let w = -1557 + u. Calculate the remainder when w is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7 or -78\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -98\/3 - -39. Which is smaller: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/2 of a micrometer in nanometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let b = 3175 - 3094. What is the remainder when 1375 is divided by b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (112\/(-14) - 125\/(-10))\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 1 = a - 1, 0 = -4*a - 4*p + 24. Calculate the lowest common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18720 divided by -16?\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 777803763 to the power of 1\/2, to the nearest integer?\nAnswer: 27889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/61 in 0.8, -3, -0.04, -9.3, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -5*p + 3*o + 109, 82 = 4*p + 2*o. Calculate the smallest common multiple of p and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 628303, 1256601, 1884897, 2513191, 3141483, 3769773, 4398061?\n\"Answer: -t**2 + 628301*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 36 - 40.2. Let s = d - -1.9. Let g = 2.8 + s. Put g, -1\/5, -13 in increasing order.\nAnswer: -13, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 13*f**2 + f - 2. Let p be w(-5). Suppose 5*i - p + 88 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 17 + 9. What is the remainder when s is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 2 + 0)*(4*r + 5*r + 25*r) - 2*r - r + 2*r.\nAnswer: 67*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 315 divided by -5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 917 divided by 29668.\nAnswer: 917\/29668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*s - n + 11, 4*s + 4*n + 7 + 29 = 0. Let a(v) be the first derivative of 14*v**3\/3 + 2*v**2 - v + 19. Is 23 a factor of a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 131015 and 157218.\nAnswer: 786090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 395, -405, -1739, -3613, -6033, -9005, -12535?\n\"Answer: -o**3 - 261*o**2 - 10*o + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -30\/227, -5, 0.01, -0.4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of i**5\/10 + i**2 - 2*i - 3. Let x(p) be the first derivative of t(p). Find the first derivative of x(o) wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1507 - 123. Is b\/(-5) - (-3 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2\/195 - -19\/260. Sort -2\/5, c, -5 in decreasing order.\nAnswer: c, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 11+-110191.02508\nAnswer: -110180.02508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 3*m**4 + 7*m**3 - 161*m. Let l(f) = 4*f**4 + 6*f**3 - f**2 - 162*f - 1. Let d(o) = -2*l(o) + 3*x(o). Find the second derivative of d(g) wrt g.\nAnswer: 12*g**2 + 54*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -10250648 by -5125324.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (2 - 0 - (-1 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1205217 - 24?\nAnswer: -1205243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -150 = -40*b + 39*b. Let s = 643 + -366. Let y = s - b. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -1 + 10*u + u + 0*u - 4*u. What is o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of g**5\/20 - g**4\/6 - 2*g**3\/3 - g**2\/2 - 2*g + 4. Let x(r) be the first derivative of n(r). Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 899066669.\nAnswer: 899066669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 572366.5l to millilitres.\nAnswer: 572366500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 261 + -382. Let v = -38 - h. Let q = 67 - v. Which is the biggest value? (a) -2\/9 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.291368 + -1.29. Round i to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.6 less than 0.17171218?\nAnswer: -3.42828782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63246.\nAnswer: 2, 3, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 0 = -8. What is the least common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -50426, -106463, -162500, -218537, -274574, -330611?\n\"Answer: -56037*f + 5611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 296614?\nAnswer: 2, 43, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3326968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 18582876997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*(2 + (-2)\/(-4)). Let b(k) be the first derivative of 3*k**4\/2 + 8*k**3\/3 - 7*k**2\/2 - 4*k + 36. Is b(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 813*u**3 - 14*u**2 + 33*u - 10. List the prime factors of z(2).\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135903761111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1229*o**2 + 1229*o**2 + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 7c3 (base 14) to base 8.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (((-445560)\/144)\/(-79))\/((-26)\/6).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -2\/37 (b) 44.463 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 316*j + 39. Let u(b) = -158*b - 20. Let z(s) = 5*u(s) + 3*v(s). Is z(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 10 by -527.\nAnswer: -10\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -930709, -930894, -931079, -931264?\n\"Answer: -185*p - 930524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 150 - 176.2. Let l = t + 26.4. Let u = -4.4 + 4. What is the third smallest value in 3\/5, 5, u, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ryo when three letters picked without replacement from ppryrpoypyrrpro?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3257720, 6515626, 9773532, 13031438, 16289344, 19547250?\nAnswer: 22805156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2233 is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1994723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5*s**3 + 2*s**2 + 3*s + 2. Suppose -k + 4*k + 4*x = -3, 0 = 2*x. Let y be m(k). Suppose 107 = y*r - 5*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 31014040 (base 5) to base 16.\nAnswer: 3d509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-220)\/44*128\/80.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 + 5\/((-200)\/(-384)) + 6\/(-10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h**2. Let y(o) = 2947*o. Determine j(y(m)).\nAnswer: 26054427*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 29362 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 146, 1143, 3846, 9107, 17778, 30711, 48758, 72771?\nAnswer: 103602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 876 divided by 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 14, -10, 5 in ascending order.\nAnswer: -10, -4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*b - 7 = 4*b. Which is smaller: -3\/19 or b?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a**2 + 4574199*a + 27445130. What is d(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 13393 + -13389. Solve -7 = -v*p - 5*y, 11*y - 13*y = 2*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4.06 > 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 20193456 to the nearest integer?\nAnswer: 4494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -15*q**2 + q + 17. Let k(m) = 7*m**2 - 8. Let l(w) = -6*h(w) - 13*k(w). Let j be l(-6). Suppose 0 = -f + j*f - 10. Solve -5*t = -f*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -15\/8, -2\/385, -6, -0.2, 0.1 in decreasing order.\nAnswer: 0.1, -2\/385, -0.2, -15\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (0 + (0 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 117008854055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 - -15b7b5b8?\nAnswer: 15b7b600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17 + 269. Let a = l + -287.1. Do a and 0.13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 860715931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 + 2*d - 5. Let c be z(-5). Suppose c = j - 0. Let t = 25 - j. Solve -h - 3 = -0*p + 3*p, 5*h = -p - t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence euee when four letters picked without replacement from {u: 1, e: 3, j: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 20182652 + -9517652. What is h rounded to the nearest one hundred thousand?\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 - -23. Put -2, p, -4 in descending order.\nAnswer: p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -10*a**3 + 170*a**2 - 715*a + 148. Calculate i(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*n - 29*n = 198*n + 174*n - 16167 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -8 + (9 - (-9 - -13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1726611, -3453217, -5179813, -6906393, -8632951, -10359481?\n\"Answer: k**3 - k**2 - 1726610*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -166 - -246. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2346 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 12421 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 468 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b - 4*b - b - 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 44493.9 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 - -11. Let a = 0 - d. Let p = 0.69 + -0.29. What is the biggest value in a, -1\/5, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 28*p + 57 - 57 + p - 4*p + 7*p + (4 - 6 + 1)*(-3*p + p - 5*p) + (-4 + 2 + 0 + 3 - 4 - 1 + (-1 - 2 + 4)*(-1 - 1 + 0))*(1 - 1 + p) as q + l*p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 PM and 8:18 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1, -0.09, 0.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(3640\/1822 - 2). Suppose 5*x = v - 435, 3*x = -4*v - 947 + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 4 - 1)*(6 + 12 - 6)*(-2*u - u + u) - 6*u - 9*u - 2*u to m*u + l and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13822 = 10*i + 4602. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34012 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 367830 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -26794251*0.3\nAnswer: -8038275.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2376654 to the nearest integer?\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 + 10*q + 26. Let p be h(-6). Suppose 31*i - 1028 = 30*i + p*z, 2*i + 4*z = 2032. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 64, -5547, -14840, -27809, -44448, -64751?\nAnswer: -88712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-60*p - 26*p**2 + 0*p**2 + 58*p)*(-p**2 + 0*p**2 + 0*p**2).\nAnswer: 26*p**4 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4 - (1 + 2\/3 - -4). What is the smallest value in -81, -3\/7, k?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 4*h. Let x(d) = -22*d**2 + d. What is v(x(c))?\nAnswer: -88*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.81161 + -0.0531?\nAnswer: -0.86471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 47178*a*p**4 + 959*a*p**3 + 172060232*a wrt p.\nAnswer: 188712*a*p**3 + 2877*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 53 + -53.6. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3370350 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3\/(18\/(-51))*-2. Let u = -15 + t. Solve 2*s + 0*s = -u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -117\/560 and -157\/1344?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s + s + 2*s)*(1 - 7 - 17).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 6 - 2)*(u**2 - u**2 - u**2 + (-1 + 1 + 11*u)*(0*u + 0*u + 3*u)).\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 845363, 3381409, 7608153, 13525595, 21133735, 30432573?\nAnswer: 41422109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 2*s - 5, -2*x + s - 15 = -6*x. Solve -2*a - a - 9 = -4*h, x*h + 3*a - 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 476 is divided by 258.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-27 + 21)\/(-2*1). Suppose z - 48 = -r*z. Let c(p) = p**3 - 14*p**2 + 25*p - 10. Let n be c(z). Solve 0 = n*o - 4*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((1 - 3) + 1)\/1. Let f = -1 - k. Solve f*u + 3*u = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47505169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 304*d - 17*d**3 - 304*d.\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 52 and 1833?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -22 + 33. Let a = 11.2 - h. What is the third smallest value in a, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2172 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -82396\nAnswer: 5\/82396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -3432*z**3 + 4*z**2 + 4*z + 1. Is b(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 17\/2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -676*y**4 + 12*y + 137*y**4 + 1322*y - 93*y wrt y?\nAnswer: -6468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 8 + 5)*(4*r + 2*r**2 + r - 4*r + 2) to the form l*r**2 + f + m*r and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 12967, 12968, 12969, 12970?\n\"Answer: j + 12966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -3*s + 7. Let f(q) = 4*q - 8. Calculate -5*f(t) - 6*i(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -5428*k**3 - 10*k**2 - 2. Let q(n) = 5428*n**3 + 15*n**2 + 3. What is 3*c(z) + 2*q(z)?\nAnswer: -5428*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + 3. Suppose 2*h + h = q. Find the first derivative of 3*x**h - x**2 + 6 + x**2 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2120418857.\nAnswer: 17, 5843, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2 + 23*w + 22.\nAnswer: (w + 1)*(w + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -2 - (-2 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (31\/7)\/(-1) + 8 + (-81)\/27. Let k = 1\/91 + -185\/273. Which is the closest to -0.03? (a) w (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12462599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 248566133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/22289034 and 17\/3653940.\nAnswer: 222890340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 4*d + 1. Let t be q(1). Let x = 9 - t. Suppose 3*u - 33*l + 35*l - 14 = 0, -2*u + 4*l - 12 = 0. Solve x*c + 14 = -u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x - 2*x = -12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the first derivative of w**5\/105 - w**4\/21 - 2*w**2 + 4. Let h(u) be the second derivative of p(u). Suppose h(t) = 0. What is t?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003449538845 to five dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1177220243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -2*t**2. Let d(r) = 16*r - 3. Give d(b(a)).\nAnswer: -32*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 88989.553 to the nearest one hundred.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 - 13*t**2 + 19*t - 11. Let c be d(-19). Suppose -132*p = -119*p - c. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3\/(-2))\/(33\/(-88)). Solve -m + 8 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the third derivative of -k**6\/60 + 19*k**5\/60 + 13*k**4\/24 - 5*k**3 + 4*k**2 + 5*k. Let l be g(10). Are 2\/871 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18433721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + 1. Let a = 6 + -9. Sort a, i, 0.1 in descending order.\nAnswer: i, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5\/2 + 4240\/(-1440). Let z be (-48)\/60 + 1 + 0. Let o = 6 - 5.6. Which is the biggest value? (a) o (b) z (c) l (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -2*i**3 - 15*i**2 + 2*i + 22. Give g(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of 0*a - 4*a**2 + 1\/20*a**5 + 0*a**4 + 0 + 0*a**3. Let n(j) = 2*j**2. Determine c(n(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*p**3 + 7756*p**2 - 7760*p.\nAnswer: 4*p*(p - 1)*(p + 1940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2)\/((-29)\/(-31) + -1). Suppose -r = -s + 3. Suppose 0*g + 2*g = 20. What is the remainder when r is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = 2*m + 2982079, -4*m = -5*u + 5801390 + 162765. Let l be -1 + ((-4)\/6 - m\/21). Round l to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 191 - (6\/39 - (-306)\/39). Is 193 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:39 AM and 4:07 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -6, -2, 12, 42, 94?\n\"Answer: i**3 - i**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 66*k - 4568. Let d be z(70). Is 23 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-904)\/(-12) - (-2)\/(-6). Suppose -9*b + 4*b + z = 0. Let v(n) = -n + 10. Let w be v(0). Solve -5*x + b = -w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16*d**4 - 2 + 3*d**4 - 17*d**4 - 4*d**2 - 4*d - 7*d**2 - 2*d**3 to w*d**4 + z + g*d**3 + s*d**2 + t*d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 367342992 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 294795 is divided by 335.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**4*p + 582*l**4 - 45*l**3 - l**2*p - 4*l**2 + 9*p + 16 wrt l?\nAnswer: 48*l*p + 13968*l - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j + 273405 = -118635. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 118 + -119.18. What is c rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -874.\nAnswer: -2\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -20*c + 7*c + 78. Let u = -2 + c. Find the second derivative of 8*g**5 - 3*g**5 - 19*g + u*g**5 wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3044 times 410\nAnswer: -1248040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from {q: 2, u: 7, n: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2\/5521, -2\/15, -1\/2, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 87949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 5*c**4 - 245*c**3 - 2255*c**2 - 1495*c + 3990 = 0.\nAnswer: -7, -2, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 21486164 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - (7 - 15)) + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.020015 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + -4. Let h = l + 4. Let p = h - 0. What is the third smallest value in -0.4, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (6\/(-12))\/(2\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/((sqrt(250) - (-1*sqrt(250) - sqrt(250) - sqrt(250)) - sqrt(250)) + sqrt(250)).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 53048882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 1112 (base 3) to base 13.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 109083403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 975107183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, s: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 243149.\nAnswer: 243149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 24 = -16. Factor 235\/4*k**3 - 175\/4*k**4 - 1 - 145\/4*k**2 + b*k + 49\/4*k**5.\nAnswer: (k - 1)**3*(7*k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 12080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -193416 (base 10) in base 4?\nAnswer: -233032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -35*y**3 + y - 1. Let x be l(1). Let d be 6\/(-33) + x\/(-11). Calculate the greatest common factor of 33 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*m - 26*m - 34*m - 280 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1540 and 43400?\nAnswer: 477400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 78 - 153\/2. Let p(q) = 12*q - 28. Let g be p(2). Which is the smallest value? (a) z (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of l**8\/112 + 3*l**7\/35 - 23*l**6\/20 + 23*l**5\/5 - 75*l**4\/8 + 11*l**3 - 1888*l**2. Solve c(g) = 0 for g.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 78285825 and 675?\nAnswer: 78285825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -905284*l**3 + 452609*l**3 + 452665*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of -6*(184\/(-12) - 1 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 13584, 54260, 122052, 216960?\n\"Answer: 13558*q**2 + 2*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w = -4*y + 12, -w = -5*y - 86 + 101 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (6 + (-3 - -1) + -9 - (49 + -56)) + 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 177 + -306. Let a = -70 - r. Let i = a - 42. Calculate the remainder when 32 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 450\/(-15)*(-4)\/48\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, n: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 - 11.64. Let y = -0.04 - v. What is the biggest value in y, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the third derivative of 7*o**5\/60 - 61*o**4\/24 + o**2 - 32. Find the second derivative of x(g) wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2585 - 2589. Sort -2\/29, 27, i in descending order.\nAnswer: 27, -2\/29, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 0.08, 4, 2\/13, 5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 - -138. Differentiate -v*n**2 - 118*n**2 + 243*n**2 - 8 wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*m**2 - 3*m + 28*m**2 + 3*m.\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -142 - 19?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 730 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21557091?\nAnswer: 3, 71, 101207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(1\/2)*l**(-2\/7)*(l**(2\/3)*l)\/(l**(1\/2)*l)*(l\/l**(-3\/2))\/l**(1\/5)*(l\/(l\/l**(-1)))**(-1\/11) assuming l is positive.\nAnswer: l**(6403\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5 + -13. Is 9 a factor of (-1)\/((6\/3)\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -8*a**3 + 4*a**2 + 6*a. Let f(z) = -z**3 + z**2 - z - 1. Let k(n) = 5*n**3 - n**2 - 11*n - 4. Let u(g) = 4*f(g) - k(g). Give 5*d(b) - 4*u(b).\nAnswer: -4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.095 + 0.095. Let l = 2 + 0. Suppose 0 = -l*v + 6*v - 12. Which is the closest to -3? (a) v (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 31*t**2 - t - 455.\nAnswer: 62*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-7 + 4 + -32)\/(1\/(-5)). Calculate the highest common divisor of 1575 and t.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 384\/(-16) + 4\/(-2). Let t = j + 29. Suppose -f + t*f + 2 = 0. Which is bigger: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 0*r + 7 = 3*r, 12 = 4*r. Let t(d) = -10*d**2 + 12*d**2 + 3*d**q. Let y(i) = i. Calculate y(t(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-285)\/(-12) + (-1)\/(-4). Let j = 14 - y. Let f be 2*3\/(-12)*j. Solve o + 3*b + 23 = 7*b, 0 = -5*o - f*b + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(1900) + -5 + -3 + 1*(0 + sqrt(1900))**2*2.\nAnswer: -20*sqrt(19) + 3792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4da (base 15) in base 2?\nAnswer: 10001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 758780051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19680952.\nAnswer: 2, 283, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/387488 and -131\/3390520.\nAnswer: 13562080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 3 + 21 + -24 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*9\/((-216)\/272)*15\/(-10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 23015?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pjb when three letters picked without replacement from {v: 1, b: 2, e: 2, j: 1, w: 1, p: 8}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(-2)*-2*105*(-275)\/(-3465)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**3 - 13*j**2 - 8*j + 20. Suppose -2*w + 78 = 5*q + 2*w, 4*q = 5*w + 46. Does 21 divide g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fiihfif. Give prob of picking 1 h and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 676432*n**5 + 44*n**2 - 1291*n wrt n.\nAnswer: 40585920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 212781 (b) -2\/9 (c) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.069124 + 0.069. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + q = 0. Suppose 5*a + 3*r - 5 + 0 = 0, 3*a + 5*r + 13 = q. Find the third derivative of 6*f**5 + 10*f**5 - a*f**5 + 4*f**2 - 2*f**5 wrt f.\nAnswer: 600*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 2*x = -43, 0 = -4*u - 4*x + 121 - 81. Solve 3*n - 3 = -5*z, -n + 2*z - u = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*a**3*h**2 - 289*a**3*h*t + 940750*a**2*h**2*t + 12216*a**2*h**2 + 2*h**2 + 80*h wrt t.\nAnswer: -289*a**3*h + 940750*a**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 8 = -2*r + 4, r - 21 = -5*v. Let u(b) = -b**2 + 19*b - 61. Let q be u(v). Solve q*w = -26 - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3642495*s + 1821251*s - 6*s**2 + 1821244*s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 567 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.03061 to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 0, 4 in descending order.\nAnswer: 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -12, -0.5, 86\/19, -0.07, 1\/4?\nAnswer: 86\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -63 + 65. Let g = -13 - -20. Suppose 4*o = -5*k + 24, -g*o + 25 = 5*k - z*o. Solve -k*f - f = -10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/(((-90)\/5)\/(-18))*(-12)\/105\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 + 9*c + 5. Let d be (184\/(-32) + 5)*-4. Let m be (-143 - -146)*((-7)\/d - 1). Determine q(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**3 + 1589*l**2 - 11032*l + 58. What is o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 125032286 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 415 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 119\/18 and -33\/160782934.\nAnswer: 1447046406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a*a\/a**4)\/a)**(-32)*a\/(a\/(a\/a**(-10)))*((a**(-6)\/a)\/a)\/a assuming a is positive.\nAnswer: a**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-45) - (26\/(-198))\/(-1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*n + 0*n - 328076 = -n. What are the prime factors of n?\nAnswer: 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -2\/175, -1\/2.\nAnswer: -2, -1\/2, -2\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 209091*t**4 - t**2 + 1593*t - 1 wrt t?\nAnswer: 5018184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/8*(-5)\/(-10)*-12. Suppose 2 = -2*f - 2. Let p be (-1 - -1*11)\/(b + f). Solve -t - t - p = -5*w, -41 = -5*t - 4*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-195 + 4*s**2 + 195)*(4 + 0 - 2)*(0*s + s - 2*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a + 9. Let q be u(-12). Let l be (-141)\/(-12) - q\/12. Suppose -x = -2*x + 3*s + l, -6 = -x + s. Let j(z) = 2*z**2 - 4*z + 1. Give j(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157*v + 169*v - 1596 = 0. Calculate the greatest common divisor of 76 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-60)*5*-3*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -10*v + 26. Let x be v\/(-20)*(35\/(-14))\/(-1). Put 0.07, -13, 5, x in decreasing order.\nAnswer: 5, 0.07, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 40 = 3*d. Let z = d - -42. Suppose -z - 126 = -4*o. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -345*i + 274360 - 274360 + 1767*i.\nAnswer: 1422*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 55*i**3*z**2 + 24*i**2*z - 5*i*z**2 wrt i?\nAnswer: 330*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*r + 3*s, 5*r - 9*s + 5 = -10*s. Suppose -3*u + 216 = 3*f, r*u + 5*u - 356 = -4*f. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(153)*-1*6 + (sqrt(153) - -2*(-3*sqrt(153) - sqrt(153))) + 5)**2*-4 + -1.\nAnswer: -103445 + 624*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -642 + 644 + 3*u**2 - 3*u**3 - 2*u**4 + 3*u**2 + 4*u**3 + 11*u - 3*u**2 to m*u**3 + i*u**4 + q + k*u**2 + t*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2521\/100840*5\/(-3)*(-5)\/((-30)\/9)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 15 = 17. Let j be 2556\/(-8)*a\/(-6). Let c be 2\/9 - j\/54. What is c rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00001928 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1910 - 1712. What is the highest common factor of u and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 295204238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j + 15 = -2*s, -2*s = j - 3*j + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -88972 = 1726*c - 334*c + 68452 - 36320 for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3 + -8.03631.\nAnswer: -7.73631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(1 + sqrt(208)) + 2*sqrt(78)\/(sqrt(12)\/sqrt(2)) - (6*1*sqrt(13)*-1*-5 + 5))**2.\nAnswer: 792*sqrt(13) + 25249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 461052498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -6*t**3 - 311*t**2 + 65*t + 111. Give h(-52).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1518540 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-4*2\/18)\/(70\/(-70455)*-61)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 13 = -3*f, -9*f + 11 = -2*m - 12*f. Solve m*v + 6*w - 3 = 7*w, 2*v + 3*w = 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3015369 and 37674.\nAnswer: 78399594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3049405978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 78 = -57. Solve 2*d = c*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 91 + 565. Let l = 756 - o. Solve 97*j - l*j - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 8:35 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -1*(sqrt(12)\/sqrt(4))**2 - (sqrt(75)\/sqrt(5))\/sqrt(5)*2.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -1193853166, -1193853165, -1193853164, -1193853163, -1193853162, -1193853161?\n\"Answer: a - 1193853167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 836 + -835. Let p = 0.3 - 0.8. Let h = q + p. Which is the second smallest value? (a) 2\/7 (b) 10 (c) -3\/4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2596 - -1441. Let q = f - -26555\/23. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 5*q - 17, 0 = t + 2*q - 4 - 1. Let k = t + 9. Factor -2*d**5 - 2*d + k*d**2 + 3*d**4 - 12*d**3 + 5*d**4 + 0*d**2.\nAnswer: -2*d*(d - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 466 = -26*b + 934 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 + 10*p**2 + 14*p - 7. Let k be d(11). Suppose 0 = k*m - 30*m + 16. Solve -7*c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 641 is divided by 545.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 14\/6*14\/63*9\/21?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6401881, -12803765, -19205649, -25607533, -32009417, -38411301?\nAnswer: -44813185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5273285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, 0, -1, -938, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r**2 + 3*r**2 + 2*r**2)*((1 + 2 - 5)*(-8*r - 3*r - 11*r) - 3*r + 3*r - 2*r).\nAnswer: 210*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1238025 is divided by 1238014.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 511486209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*i**2 - 3*i**2 - i**2 + (1 - 1 + 6)*(-3*i**2 - 4*i + 4*i) + 3*i - 5*i**2 - 3*i + (4 + 0 - 2)*(5 + i**2 - 5).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -91, -96, -101?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 10:57 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + sqrt(1100) + 2 - sqrt(1100)) + -2*sqrt(1100)*-4 - ((sqrt(1100)*2 - sqrt(1100))*-5 + -1*(sqrt(1100) + -2 - sqrt(1100))))**2.\nAnswer: 1040*sqrt(11) + 185916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -10*i**2. Let v(z) = 4620*z - 263. Calculate v(d(u)).\nAnswer: -46200*u**2 - 263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -12, -10, -14, -30, -64?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f*f**(-14)*f)**(-15\/2)\/(f*f\/(f**(-1\/11)*f)*f*f**(1\/6)*f) assuming f is positive.\nAnswer: f**(4735\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of -1\/2*y**4 + y**2 + 4\/3*y**3 - 7 - 4*y. Determine s so that d(s) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-280)\/(-532)*19 - (2 + 15 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -4*u**4 - 2424*u**3 - 523476*u**2 - 47340720*u - 1525683600 = 0?\nAnswer: -210, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-7)*6685\/573?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l = 5*l. Let j(i) = 2*i**3 + l*i**2 + 8 + 0*i**2 - 3*i + 2*i**2 - 2. Is j(3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -36.4 + 213.4. What is the third smallest value in -1\/3, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*q - q - 2*q + 5*q in the form i + l*q and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (104\/(-18) + 1)\/((-49)\/1176). Let m = -227\/2 + h. Is m bigger than 0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 + -3. Suppose -r*k + 60 = 51. What is the units digit of ((-232)\/(-6) + 3)*k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9949.\nAnswer: 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 306*v + 6313 = -21*v - 26*v - 36753 for v.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -949 + h + 235 + 232 + 225 + 253.\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (9*i**2 - 9*i**2 - 15*i**2)*(-28 - 44 - 4 - 19 + 8) as m*i + o*i**2 + d and give o.\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 114*n - 88 = 125*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -14.9 (b) -3\/433 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -p - 14, 6 = 2*l + 2*l + 3*p. Let h = l + -6. Let s(y) = 3 + 2*y**2 - 5 - 8*y + 3*y + y**3. Give s(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 933 + 1147 + 6*p - 2080. Let h(o) = 1448*o. Calculate z(h(b)).\nAnswer: 8688*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000710336 to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1161\/5 + 231. Which is the second biggest value? (a) 18 (b) j (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*d**3 + 4*d**3 + 0*d**3)*(31*d - 28 + 28) as b*d**2 + k*d**3 + x + g*d**4 + c*d and give g.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(((-13)\/8)\/(-24*(-29)\/8352)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -184 divided by -23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 13*z**2 + 4*z**2 + 0*z**2. Let t(p) = 10 - 7 - 3 - 22*p**2 + 39*p**2 - 15*p**2. What is r(t(v))?\nAnswer: 68*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56977?\nAnswer: 227, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -100010100011 (base 2) to base 4\nAnswer: -202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = o**2 - 2. Let x(z) = -z**3 + 4*z**2 + 4*z + 2. Let d be x(5). What is the units digit of b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(78) - (sqrt(78) + sqrt(78)*-1)*-1) + sqrt(78))\/sqrt(6) + (sqrt(156)\/(sqrt(24)\/sqrt(2)) - -5*sqrt(52)))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 423 is divided by 132.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z**2 + 4930 + 10792 + 0*z**2.\nAnswer: -2*z**2 + 15722","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*f**5 + 17*f**5 + 9*f**5 + (-3 + 4 + 0)*(-f - 3 + 3)*(0*f - f + 3*f)*(-5*f**3 + f**3 - 3*f**3).\nAnswer: 35*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 416 and 114.\nAnswer: 23712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.7415958 grams?\nAnswer: 741595.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, -1, 0, -1\/6 in ascending order.\nAnswer: -1, -1\/6, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lztkztf. What is prob of picking 1 t and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.8 + 0.8. Which is the closest to 2\/9? (a) 1 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 12\/(-8)*20\/(-6). Solve -u + j*u - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of -4*q - 4\/3*q**3 + 244 - 4*q**2. Factor n(f).\nAnswer: -4*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 219321215?\nAnswer: 5, 23, 1907141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*o**5 - 5*o**4 - 9*o + 5 wrt o.\nAnswer: -60*o**3 - 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*f - 63 + 24 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 149426231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30996753 and 2061.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -48 + 68. Suppose 0 = 4*m + x, 4*m = -3*g + 8*g. Suppose 7*u + 10 = 5*u. Is u less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1291 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*p**2 + 16*p**2 - 8*p**2 - 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2730.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49987309?\nAnswer: 19, 138469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 79001.\nAnswer: 13, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-175*m + 146*m + 119*m)*(2*m - 3*m + 2*m)*(3 - 9 + 3) to the form b*m**2 + c*m + p and give b.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiiniiiiiiniiiiiiii. Give prob of sequence ini.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((k\/(k*k**(-2\/5))*k)\/k)\/k)\/k)**(12\/11)\/(k**(-1\/7)*k**(-6\/7)\/k))**(-3\/2) assuming k is positive.\nAnswer: k**(-21\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -49 - -62. Suppose 0 = 4*v - 3*k, -v + 5*k - g = k. What is the lowest common multiple of 4 and (5 - 6)\/(v\/4 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -751*b + 3660 - 751 = -1690*b - 4603 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*n + 3*h - 6, -11 = -5*n + 4*h. Find the third derivative of 5*a**n - a**3 + 4*a**2 - a**2 wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -8, -28, -58, -98, -148?\n\"Answer: -5*h**2 - 5*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/(-3)*1018)\/((-9480)\/10). Let x = 21\/395 + z. Find the common denominator of 1\/30 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/2*14 - -1. Solve 3*c - j = 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 2*x - 42 = -3*k, -3*k + 50 = 5*x. Let s be k\/(-45) - (-155)\/9. Let f = s - 12. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31 + 14. Calculate the greatest common divisor of i and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13693*w + 8925 wrt w?\nAnswer: -13693","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 25*r + 79. Let q(a) = -4*a - 13. Let l(m) = -6*i(m) - 34*q(m). Let s(g) = 5*g + 11. Let f(j) = 3*l(j) + 8*s(j). Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2658368 and 13291840.\nAnswer: 13291840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2 + 8\/(-6))*1. Let q be 0 + -1 + 1 - 2\/(-1). Suppose q*i - 5 = 7*i. What is the closest to i in 0.5, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -5*m + 60. Let w be m\/(-9) - 2\/6. List the prime factors of 1 - (3 + w)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -181*u + 9. Suppose -4*a = -2*o + 2, -4*a + 7 + 1 = -4*o. Does 17 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -627*o - 2293. Let y(p) = -28*p. Let i(k) = -n(k) + 6*y(k). Differentiate i(w) with respect to w.\nAnswer: 459","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in fourty-one halves of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24\/11 + 334\/143. Sort -0.4, n, -3, -6 in ascending order.\nAnswer: -6, -3, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 21*u + 23. Let d be s(7). Suppose 0 = d*t - 172*t + 10. Suppose 0 = t*p - 4*o - 218, o = p - 29 - 14. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20*0.017586.\nAnswer: 0.35172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -5*(-29047)\/20 - (-4)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 + 12*t**2 + 6*t - 13. Let w be z(-11). Suppose -30 = o - w. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 154101776 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 76 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0232109 to four decimal places.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 205115?\nAnswer: 5, 41023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*c**2 - 26*c**2 + 62*c**3 + 6*c**2 wrt c.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3027178?\nAnswer: 2, 7, 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48 and 59964?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = 4*j + 16, 5*r + j = -28 + 33 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is ce5a - -22d5?\nAnswer: 10240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7)\/(14\/4) - -4. Find the second derivative of -w*u + 40*u**3 + 4*u**4 - 40*u**3 wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m**5\/3 + 1365*m**4 + 275515*m**3 - 1665395*m**2\/3 + 278250*m = 0 for m.\nAnswer: -450, -371, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*o = -18*o + 192. Let a(m) = 8*m**2 + 3*m + 3. Let t(i) = -6*i**2 - 2*i - 2. Let z(v) = o*t(v) + 4*a(v). Let g(w) = -4*w**2. What is 5*g(s) - 6*z(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -17 at most -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -597, -575, -531, -459, -353?\n\"Answer: o**3 + 5*o**2 - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 541 = 5*n - 3*c, -5*n = -43*c + 48*c - 565. What is the greatest common divisor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36800144*x - 36800121*x - 46 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 15.26607 litres?\nAnswer: 15266.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 421290 and 5300100?\nAnswer: 164303100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 255613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - (3 + -9)) + -13 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 + 6 + 7 - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 133986793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 56 >= 3801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s + 1. Let h be z(-6). Let d(b) = h + 2*b + b - 7. Let g(a) = -6*a**2. Give d(g(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q = 5*u - 5, -q = -2*u - 0*q - 2. Let x = 0 + u. Sort -4, x, 5.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 224 times -251688?\nAnswer: -56378112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 7, c: 1, h: 7, f: 1, p: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (33\/(-132))\/(5\/(-20) - -5).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -372, -1555, -3544, -6333, -9916, -14287, -19440, -25369?\nAnswer: -32068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 132 - 188. Let d = m + 170\/3. What is the closest to d in -4, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11633 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.5 - 4. Let y = 0.108 - 0.008. Put -1, s, y in descending order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 686, 685, 684?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 306, 1706, 4040, 7308, 11510, 16646, 22716?\n\"Answer: 467*h**2 - h - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/38)\/(882\/(-36) - -25)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1124*u - 107766?\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4658838179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13942 - -13965. Let i(y) be the second derivative of 0 + 1\/3*y**3 + 0*y**2 + c*y. Let p(r) = -5*r**2. Calculate p(i(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y + 138 = -3*g, 3597*y - 303 = -59*g - 9*g + 3592*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 25693.96 litres in millilitres?\nAnswer: 25693960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 56194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.34781 + 0.\nAnswer: 0.34781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 662737961?\nAnswer: 139, 4767899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/8 - (2 + 28\/(-8)). Let a(y) = -8 + 7 + 2*y + t. Let h(i) = -5*i**2. What is h(a(p))?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -33 + 32.83. Let x = 7.83 - q. Let y = x + -8.017. What is y rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 476004 and 264816892.\nAnswer: 794450676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*126\/(-135)*(-6)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 571*f + 4. Let h(b) = -5*b**2. Determine h(g(r)).\nAnswer: -1630205*r**2 - 22840*r - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7917 + 7938. Calculate the lowest common multiple of 91 and z.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3959 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -14433114 (base 7) to base 2.\nAnswer: -101001110011000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -h - 40 = 19*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*c = 8*c + 560. Suppose 0*j - c = -4*j. Suppose 4*q - 5*q = -j. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 89701, 175442, 261161, 346846, 432485, 518066, 603577, 689006?\nAnswer: 774341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 762189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 17 (base 12) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 - 6*x**2 + 7*x + 1. Let h be i(4). Which is the nearest to 0? (a) h (b) -1\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 4*6*(sqrt(180) - (sqrt(180) + -1)))**2.\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1830)\/(-610)*4\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be 33\/(-11) - (-9 + 3 + -2). Suppose p*q = -34*q + 156. Solve 15 = -9*b + q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 212 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/20, -2\/9, -8, -39, -4, -34 in decreasing order.\nAnswer: 3\/20, -2\/9, -4, -8, -34, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 23526 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 165, 2\/21, -2, -2\/5, -1, -53\/5 in descending order.\nAnswer: 165, 2\/21, -2\/5, -1, -2, -53\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-113634)\/1239 - (-24 - 68)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.09 + -0.07. Let g be (-1)\/(-2)*(1 - -1). Let s be (-3)\/(-54)*26 - g. What is the biggest value in s, -1\/5, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 - -92\/3. Suppose -12*z = -13*z. Factor -8*d**3 + 14\/3*d**2 + z - j*d.\nAnswer: -2*d*(3*d - 1)*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 18275 - 400 = -c, -2*c = -4*u - 37342. List the prime factors of c.\nAnswer: 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 110901 and 7764?\nAnswer: 287011788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/65822 or -3\/154?\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = -140 - -144. Suppose -q*k = -0*k - 508. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 - 14*r - 48. Is i(48) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 10:36 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1\/6)\/((-4)\/6). Let u be ((-1)\/1)\/((-13)\/65). Which is the nearest to -1\/2? (a) u (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -4*i**7\/315 - i**6\/36 - i**5\/90 - 5*i**2. Suppose w(v) = 0. Calculate v.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 212 divide 126612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-5)*b)\/b*b**(-5)*(b*b\/(b**(2\/17)*b*b))\/b*b*b\/b**5)\/((b**(-3)\/b*b*b**0)\/(b\/b**(2\/3))**(-15\/8)) assuming b is positive.\nAnswer: b**(-1597\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 4*a + 16. Let g be h(-4). Suppose y - 1831 = -g*y - 2*z, 5538 = 3*y - 3*z. Suppose y = 5*l - 14474. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1347 and 171?\nAnswer: 230337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4*(-1)\/6)\/(4\/12). Put -4, 4, i, 3 in decreasing order.\nAnswer: 4, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 158584 is divided by 10130.\nAnswer: 6634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**3 - 14*w**2 + 24*w + 29. Let n be c(12). Let k = n - 44. Let t = k - -39. Solve -2*y + 6 = -4*y + 4*g, -g = 4*y - t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 4*n**2 + 2*n. Let j be (3 - 1)*85\/34. Let z(o) = -2*o**2 - o. Give j*z(g) + 3*v(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -101464398 divided by -9?\nAnswer: 11273822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 139195371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of -5*q**3\/6 + q**2 - 991*q. Let a(l) = 10*l - 4. Determine 6*a(z) + 13*v(z).\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n - 28 = 5*q, 6*n + 1070 = 17*q + 1068 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1338 + 2231. Suppose -x = 5*r - a, 127 = 4*r + 2*x - 585. What are the prime factors of r?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -26597 to the nearest 100.\nAnswer: -26600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qnqnqngqnqvgqq. What is prob of sequence nq?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 70130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence doda when four letters picked without replacement from addjjaddjdjjddddaoj?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 - 5 = 3*x - 4*r, 2*x - 2*r = -12. Let h(g) = g + 4. Let q(k) = 1. Let i(n) = -h(n) - 4*q(n). Let l be i(x). Solve -y = -l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -58, 1\/2, -30 in ascending order.\nAnswer: -58, -30, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*i - 5 + 35 = -80. Solve r - 2*c + 10 = -i*c, 4*c = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 50.1444 years to decades.\nAnswer: 5.01444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*p + 2*h + 28 + 24, -128*h + 132*h = -36*p + 424 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/13 + 13484*i\/13 + 22727282\/13.\nAnswer: 2*(i + 3371)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 68*d - 166. Let n be h(4). Calculate the common denominator of (-10)\/(-144) + 53\/n and 109\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 8, w: 2, j: 2}. Give prob of picking 1 d and 1 j.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of 23*y**2 + 14*y + 4. Let d be b(7). Suppose 116 - d = -5*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 + 4*u**2 + 5*u + 4. Suppose -4*m - 13 = -5*o, m + 7 = -4*o + 6*o. Let y be q(o). Solve -5*j - 10 = 4*r, 0 = -3*r + r - 3*j - y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -136*m - 1587 - m**2 + 1587 + 3*m**2. Let a(z) = z. Calculate l(a(r)).\nAnswer: 2*r**2 - 136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 9. Let c be y\/(-6) + (-12)\/9. Let i = 18 - c. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8558.99971 - -8565.9. Let s = n - 6.9. Round s to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 2*p + 3 = 0, -2*v - 4 = -9*p + 11*p. Put 4, 84, 1, v in descending order.\nAnswer: 84, 4, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 48.25 - 2.25. Let z = -0.003 - 32.097. Let g = u + z. What is g rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115324 is divided by 57501.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(77) - sqrt(77)*-2*6) + sqrt(77))\/sqrt(7).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -85*b + 90*b - 5655. Let j be (-4)\/(-6)*3 + b. Suppose 3305 + j = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*s**6 - 6*s**2 + s**2 + 7*s**2 - 19*s**2 wrt s.\nAnswer: -2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31600000 = -0*n + 2*n. What is n rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(1\/13))**28*(u**(-10))**(3\/29) assuming u is positive.\nAnswer: u**(9354\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 38 - 41. Suppose 2*l - 3*l = 0. Suppose -3*w + 5*i + 7 = l, 2*w = -5*i + 18 - 5. Which is the nearest to -1? (a) 0.2 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 2*k = 14 - 5, 4*i - 11 = 3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -209, 2\/9, -0.02, 4, -14.4?\nAnswer: -209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7972571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -1 equal to 1\/2300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -280\/29 + -823\/116. Let d = -2\/745 - -14171\/5960. Calculate the common denominator of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -8+-2721\nAnswer: -2729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -4*q - 1. Let f(s) = 9*s + 2. Let v be (-22)\/(-33)*(-15)\/2. Give v*n(j) - 2*f(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -87\/20 and 999\/(-360)*(-10)\/12?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 0*d = 18. Let b be 7*((-120)\/(-21) + 2). Calculate the highest common factor of d and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 261577 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**3\/6 + 83*f**2\/2 + 635*f\/3.\nAnswer: -f*(f - 254)*(f + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-5*(((sqrt(209) + 2*sqrt(209))*-6 - sqrt(209) - sqrt(209)) + sqrt(209))\/(sqrt(1331) + (1*sqrt(1331) - sqrt(1331)) + sqrt(1331)).\nAnswer: 95*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 41508139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 740783.07 milliseconds to hours.\nAnswer: 0.205773075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2165*o = -804*o + 107*o - 433*o - 115325 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of b**2*t**2*w - 31602*b**2*t**2 - 2*b**2*t*w + 3*b*t**2*w + b*w - b + 4108*w + 1 wrt b.\nAnswer: 2*t**2*w - 63204*t**2 - 4*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 57*r + 642. Determine y(-12).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (30\/35)\/(6*1\/28). Let g(r) be the first derivative of -1\/2*r**f - 2 + 1\/3*r**6 - 2\/3*r**3 + 2\/5*r**5 + 0*r + 0*r**2. Factor g(j).\nAnswer: 2*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*t + 13*t = -18. What is the tens digit of 295\/4 - 15\/40*t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7788.872 hours to minutes.\nAnswer: 467332.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 7990, 773\/2, -0.1 in decreasing order.\nAnswer: 7990, 773\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 172\/(14\/(-6) + -1). Suppose k = -5*g - 37, 4*g = 5*k + 68 + 204. Let v = k - o. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u**(-1\/4)\/u*u)\/u**(1\/6))\/((u**(3\/5)*u)\/u**6) assuming u is positive.\nAnswer: u**(359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, q: 12}. What is prob of sequence bq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9532160*i**3 + 1293362*i - 6 wrt i?\nAnswer: 57192960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - 6. Let r = 0.106 + -4.606. Let d = r - a. What is d rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 231*f**3 + 147*f**2 - 230*f**3 - f - 192*f**2 + 3 to q*f + z*f**2 + l*f**3 + i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 2 l, and 1 u when four letters picked without replacement from oouiloolc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 22*z**2 + 14*z**2 + 39 + 12*z**2 to the form t*z**2 + n*z + m and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 20.6384 - 20.6. What is n rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = y, -n - 3*y + 0 + 8 = 0. Suppose 0*p = -5*p + 5, 0 = -n*j - 3*p + 33. What is the units digit of (4\/j)\/((-4)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -185.522 and -0.4.\nAnswer: -185.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g be 21\/19*26\/30. Let u = g - 6863\/1710. What is the common denominator of u and (-345)\/144 + 9\/((-81)\/(-48)) + -5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -162303?\nAnswer: -811515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/(-6)*1935\/6. What is the greatest common divisor of 2064 and i?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6526 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, t: 3, o: 3, a: 3, y: 8}. What is prob of picking 2 a and 1 z?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is y in 24 + 43*y**2 - 12*y**3 - 56*y**2 - 68*y + 35*y**2 + 34*y**2 = 0?\nAnswer: 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(36)\/sqrt(108) + (2*sqrt(18))\/sqrt(6) + (-1 + sqrt(363))**2 + -4 - (4*-5*sqrt(12)\/sqrt(4) + ((sqrt(210)*-2)\/sqrt(10))\/sqrt(7))**2.\nAnswer: -1092 - 59*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20378 - -529733\/26. Let l be (8\/(-432))\/((-58)\/(-186)). Let x = l - -13\/29. Calculate the common denominator of x and j.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes before 3:22 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*p - 5*z - 17, z = p - 4*p - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t + 1. What is the units digit of q(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 2*b = 295 - 346, 5*i - 3*b = 78 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.24 + 0.33. Let g = q - 4.09. Let u be 6\/66*(2 + -4). Which is the second smallest value? (a) u (b) g (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, m: 1, h: 1, t: 1, e: 7}. What is prob of sequence hmte?\nAnswer: 1\/4680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 42055 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7643174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0, -3, -82 in decreasing order.\nAnswer: 0, -2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 4*b**2)*(-7*b - 7*b + 4*b) + (-2*b + 4*b - b)*(2*b**2 - 3*b**2 + 0*b**2) - b + b - b**3 + 0*b**3 + 0*b**3 + b**3.\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0009852 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-1 + 12)*(19 - (1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -20? (a) 0.141 (b) -0.4 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 4*j + 2*z, 373*j + 52 = 376*j + 13*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**3 - 6*w**2 - 12*w + 37. Let a be s(7). Suppose -6*g + 2*g + 20 = 0. Let f = g - 1. Solve c - f = i, -3*c + i = a*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 7\/74671230 and -7\/2610.\nAnswer: 224013690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from gogggggggoggggog.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 5*i - 3*i + 654, 2*l - 4*i = 252. Suppose 2*u = -u + l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -9*x**3 + x**2 - 5*x - 1. Let c(o) be the third derivative of -o**6\/120 - o**4\/24 + 36*o**2 + 20. Determine -5*c(z) + q(z).\nAnswer: -4*z**3 + z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(170)\/(sqrt(40)\/sqrt(4)) + -5 - (-4*(sqrt(170) - (sqrt(170)*1 - sqrt(170))) + sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: -5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.107959 + -3.\nAnswer: -2.892041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/366 and -70\/12438693?\nAnswer: 24877386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 16223*s*x**2 - 2*s*x + 4*s + 2*x**2 + 15210 wrt x?\nAnswer: 32446*s*x - 2*s + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3946, -3956, -4012, -4114?\nAnswer: -4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: What is -212210200 (base 4) in base 16?\nAnswer: -26920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 4*j + 1. Let i be q(3). Let t = i - 12. Let z be t\/(-4) - (-11395)\/(-20). Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003650683 to five decimal places.\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 - 7*r**2 + 3. Let q be -8 + 1 - (-7 + 5 + 4). What are the prime factors of h(q)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03 * -58867\nAnswer: -1766.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29973.5361 + 29972. Let v = t + 0.1451. Round v to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*u + 12 = 0, -2*p + 0*p + 6 = 3*u. Suppose -p*v + 167 = -52. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 5:38 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 3 = -3*x, 4*x = a - 3*a + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.2, 0.09, -4\/3, -0.4 in decreasing order.\nAnswer: 0.09, -0.2, -0.4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 7.6 + -7. Let p = h - 0.3. What is the second smallest value in 4\/9, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 2*a**3 + 8*a**2 - 4*a + 1. Let s(v) = -v**3 - v**2 - 1. Let y(h) = -3*s(h) - z(h). Let g be y(4). Let k(x) = -x - g + x - x. Determine k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the second derivative of h**3\/6 - 3*h. Let b(g) = -4*g. What is n(b(k))?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be (6 - 10\/(-2)) + -10. Which is the closest to 1? (a) -0.3 (b) 10 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 300545 and 5890.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the third derivative of l**4\/12 + l**2. Let h(y) = 80*y**2 - 8*y. Let d(n) = -24*n**2 + 2*n. Let w(b) = 28*d(b) + 7*h(b). What is w(m(z))?\nAnswer: -448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - 30. Let a be (3400\/(-32))\/(1\/g). What is a rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -398 + 394. Let s(n) = 8*n + 38. Let t be s(f). Solve t = h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 10011001110011111?\nAnswer: -10011001110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -125 + 41 = 6*w. Let z be w*3*(-6)\/63. Let n = 1\/240 - 1\/15. Which is the smallest value? (a) 0.5 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/124 and 145\/24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 0*a + 5*a = -40, 5*a = -3*w - 8. What is the first derivative of 5 - 3 - w*n**4 + 6*n**4 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14632488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 341\/4 - 86. Which is the biggest value? (a) 0.1 (b) h (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -177, -299, -411, -507, -581, -627?\n\"Answer: i**3 - i**2 - 126*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rjddddddddddddd. What is prob of sequence ddrd?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 427011?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 2*p + 56. Calculate the smallest common multiple of 5 and l(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -407322 (base 9) to base 16.\nAnswer: -3af9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3704887, 3704861, 3704835, 3704809, 3704783?\n\"Answer: -26*i + 3704913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.9 - -1.1. Let a = 24244\/28301 - -2\/4043. What is the second smallest value in -4, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 176 + -176. Let r be -1 - ((0 - -1) + 0). Which is the nearest to d? (a) r (b) 2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2\/7 + 7308990*l\/7 - 8353104.\nAnswer: -3*(l - 2436322)*(l - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -22891 + 36099. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13.702 - 123.702. Which is the nearest to 0? (a) -1 (b) q (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4270 divided by 10?\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 2*k = 5*a - 30, -6 = -a + 2*k. Calculate the least common multiple of 66 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 - 6*j**2 - 6*j - 2. Let v be n(7). Suppose -4*s + 2*l = -1272, 2*s = v*s + 4*l - 965. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 2:37 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 - (2 - (53 + -63)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 458742785 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*-4*(4 + (sqrt(26)\/sqrt(2))**2)*2 - (sqrt(91) + 4*(-1*sqrt(91) + sqrt(91)))\/(sqrt(28)\/sqrt(4)*-6).\nAnswer: -272 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 81016 and 328.\nAnswer: 81016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-7328)\/687 + (-376)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 98863974 a multiple of 954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*239 - (-78 + 80). What is the remainder when (-60)\/70 - v\/(-7) is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -407*f + 2389 = -53 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 + -32. What are the prime factors of 0 - (3 + -2) - t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -26*m - 3 + 25*m + 1. Let i(z) = -z - 1. Let j = -9 + 12. Suppose 7 = -j*h - 5. Give h*i(v) + 2*t(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) -0.1813 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -1652 - -290.0583.\nAnswer: -1361.9417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 297*x**3 + 5*x**2 + 10*x - 5. Let p(u) = -445*u**3 - 8*u**2 - 16*u + 8. Determine 8*o(i) + 5*p(i).\nAnswer: 151*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 14 = 21. Suppose -j = 2*s - 3*s. Calculate the least common multiple of s and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1428 = -195*l + 297*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -62501 (base 10) to base 11.\nAnswer: -42a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 1 - 76*i**3 + 3*i**2 - 3*i**2. Let z be 4\/14 + (-9)\/7. Is f(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -19*v + 452. What is f(30)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60800 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by 231\nAnswer: 8\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 178070 and 12?\nAnswer: 1068420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -858, -1714, -2570, -3426, -4282, -5138?\nAnswer: -5994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3819 is divided by 3774.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*u = -17*u - 13*u - 18*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 416316237 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4431*u = 4448*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9 less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 54769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = -28 + 24. Let k = 36.5 - 34. Let m = k - 2.4. Which is the second biggest value? (a) w (b) m (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 264 divided by -33?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*d + 16*d + 115 = 0. Let o be d\/7 - 3 - 2\/7. Are o and -2\/277 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19053449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -29443*l**4 - 80*l**2 - 10389932 wrt l.\nAnswer: -117772*l**3 - 160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is l in l**3\/9 - 8*l**2\/9 - 44*l\/9 - 16\/3 = 0?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*n = -60 + 260. Let g be (-51)\/(-18) - n\/24. Let p = 3 - 3. Solve -g*z = 4 - p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -51, -61, -73?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/8 and -93\/541652536.\nAnswer: 541652536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - -1)*32\/80 + 18\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75 and 11730?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - ((14 - 28) + 7) - -13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 2*t - 78 = 0, 150 = 5*c + 3*t + 73 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -32060\nAnswer: 9618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyfmyffyyfmmy. Give prob of sequence mymm.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -15*k**2 + 3. Let s(h) be the second derivative of -13*h**3\/6 - 1064*h. Give s(r(q)).\nAnswer: 195*q**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1906.413 - -1906. Is -0.1 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13345023 is divided by 155.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1693\/(-2))\/(46\/(-56) + 81\/108)?\nAnswer: 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 227745 and 567?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -13*o**3 + 6*o**2 - 6*o + 6. Let u(p) = -14*p**3 + 7*p**2 - 7*p + 7. Give -6*u(m) + 7*x(m).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 9309 equal to -481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 75 a factor of 1038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 6)*(3 + 0 - 5)*(2*q**3 + 0*q**3 + 0*q**3)*(q**2 - 4*q**2 + 5*q**2).\nAnswer: -40*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11255899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*x - 2*f - 19 - 14, 40 = 4*x - 5*f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from clperpl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of -401*t**6\/60 + 143*t**5\/60 - t**3\/6 - 21*t**2 + 2*t. What is the third derivative of i(q) wrt q?\nAnswer: -4812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*z**2 + 0*z**2 - 4*z**2 + (-11 - 5*z + 11)*(2*z - z - 3*z) + (-12 + 7 + 14)*(z**2 - 1 + 1).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*l + 16272 = 15954 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 + 2 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l - l + 0*l)*(2*l**4 + 0*l**4 - l**4) + 2*l**5 - l + 0*l - 4*l**5.\nAnswer: -l**5 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-29)\/(-319))\/(-1 + (-9)\/(-6)). Which is the third smallest value? (a) p (b) 4 (c) 3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of m**3*x**2 + 332*m**3 - 843*m*x**4 - 6*x wrt x?\nAnswer: 2*m**3 - 10116*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d = -4*d - 5*q + 9, -2*q = -5*d + 10. Is (-3 + d)*(40 + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107495147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p**2 + 324*p**3 - 6 + 0*p**2 + 91*p**3 - 28*p**3.\nAnswer: 387*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (77 - 19588\/249)\/((-10)\/(-8)*2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -19*i**2 + 4*i. Let j(n) = -7*n**2 + 16*n**2 - 535*n + 3*n**2 + 6*n**2 + 532*n. Determine 4*j(u) + 3*r(u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-88*g - 133*g - 104*g)*(0 + 81 + 14) to the form i + y*g and give y.\nAnswer: -30875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 0*b**2 - 4*b**2 - 6*b**2. Let s(t) = -2*t**2 + 7*t - 1. Let z(c) = 27*c**2 - 77*c + 11. Let k(j) = 11*s(j) + z(j). Determine k(i(n)).\nAnswer: 500*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 2 = -2*z - 2*z, z + 9 = 4*t. Suppose 0 = 5*r - 0 - 15. Suppose -r*o - 5 - 4 = 0. Sort t, 1, o in increasing order.\nAnswer: o, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.09 - 5.91. Let x = k - -9. Sort x, 0.3, -0.1 in descending order.\nAnswer: x, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y when three letters picked without replacement from hhhhyhhyeyhyh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from ubsygubj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - (-3 - 1)) + (-134 - 16) + 264.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + (4 - (-539)\/(-55))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 - 4*b**2 - 11*b + 37. Let p be w(3). Sort 2, -4, p, 7 in increasing order.\nAnswer: p, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - 2*j - 3. Let q = 1 - j. Let k(o) = -o**2 - o. Let x(v) = -v**2 - 2*v - 1. Let l(g) = -2*k(g) + x(g). What is l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1594667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*c*p**3 + 5463*c*p**2 - 485*c*p - 973*p**3 + 11*p**2 + 90*p wrt c?\nAnswer: 2*p**3 + 5463*p**2 - 485*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 1. Let o be 1\/(-2)*(2 - 4). Let w(a) = 2*a - 8. Let f be ((-36)\/30)\/((-6)\/20). Suppose -5*h = -j - 9, f*j - 33 = -j - h. Determine j*t(c) + o*w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**(7\/3)*g**2*g**(1\/13)*g**2\/g*(((g*g**(-6))\/g)\/(g**(-4)*g))\/(g**(3\/7)\/(g\/(g\/(g**(-2\/13)*g*g)))) assuming g is positive.\nAnswer: g**(1318\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 PM and 9:06 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 124004 or -284?\nAnswer: 124004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -4*u. Let d(q) = -16*q. What is a(d(b))?\nAnswer: 64*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 4 - 2)*(0*t + 1 + 0*t + t) to c + z*t and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 7 - 2)*(-72 + 72 + 156*j**3)*(0*j**2 - j**2 + 2*j**2).\nAnswer: 312*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(2*(sqrt(891)*-2)**2 - 3*(sqrt(1331) + 2)**2)*5.\nAnswer: -1980*sqrt(11) + 46845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17315348 - 6?\nAnswer: 17315342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f + 3. Let b be p(-2). Let k = -11965.9 + 11966. What is the biggest value in b, 23, k, -0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t + 58. What is the units digit of w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x**2 + 3 - 3)*(-40 - 42 + 24 - 54)*(-244 - 149 - 39) to k + q*x**2 + u*x and give q.\nAnswer: -96768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve i + i + 25 = d, -4*d = 2*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.1 + 3. What is the closest to p in -0.5, 1\/3, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 286150.\nAnswer: 2, 5, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1389, -7469, -18215, -33627, -53705, -78449, -107859?\nAnswer: -141935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**2\/(w\/(w\/(w**(-6)\/w))))\/((w**6*w)\/(w**(-1\/13)\/w)))**(-5\/9) assuming w is positive.\nAnswer: w**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 3\/24964184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*x, 3 = 5*t - 5*x - 22. Let k be 216\/22 + t\/22. Is 23 a factor of (-92)\/k*(-5)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -5*p - 0*c + 31, -3*p + 25 = -2*c. Let y be 2 - (-457*p - -1). Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/5*-2)\/((-4)\/(-15)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5987, -5589, -4929, -4013, -2847?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -175 (b) 0.57 (c) -0.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010011111000 - 1?\nAnswer: -1010011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 605866 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j. Let t(k) = -4*k**2 + 6*k. Determine v(t(y)).\nAnswer: -8*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/18377 and -11\/15475596.\nAnswer: 263085132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 2022165, 2022163, 2022161, 2022159?\n\"Answer: -2*b + 2022167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 + 49*m + 262. Determine j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 221505673?\nAnswer: 131, 1690883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.26373g to milligrams.\nAnswer: 63263.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 340\/7 or 15?\nAnswer: 340\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2.75 + 2.7818. Let u = m - 0.024. Round u to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = 3*k - 35 + 26, 4*d = -5*k + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 2*w - 5 = -1, -2*w = -2*n. Suppose -8*h + 108 = -4. Let l = h - n. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*z - 3*z + 36. Suppose 3*d - 9 = 4*d. Let t = d + z. Solve -2*y + 3*y - 19 = 3*g, -7 = -g - t*y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 2 + 6*o + 3 + 3.\nAnswer: 6*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -222 - 19*w**3 - 153*w + 93*w + 11*w**3 + 223.\nAnswer: -8*w**3 - 60*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 119\/34 - ((-375)\/(-10))\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 668\/10 - 130\/(-26). Let d = w + -72. Do -27 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b + 4*p + 23, -2*p = 5*b + 5 - 16. Let f(w) = w + 4. Let l(a) = 194*a - 2 - 392*a + 3 + 199*a. Let i(h) = b*l(h) - f(h). Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 4*l - 16 = 0, -8*l + 3*l + 15 = 0. Let k be 1*(4 + 28\/s). Sort 4, 0, -12, k in increasing order.\nAnswer: -12, k, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2602 - -596a6?\nAnswer: 570a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 10 + 3 = 0. Let m be 60\/(-14)*(r - 4362). Let k be m\/(-4)*(-40960)\/(-30). What is k rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 354 = 204. Suppose 4*r = 7*r + x. Let s = -42 - r. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes after 9:27 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:57 AM and 7:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -183 + 566 = a. What are the prime factors of a?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2981, 11942, 26879, 47792, 74681?\n\"Answer: 2988*i**2 - 3*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -125\/16 + 16883\/2160. Let h(z) be the third derivative of 0 + 1\/36*z**4 + 0*z - p*z**5 - 2\/27*z**3 - z**2. What is o in h(o) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sunssnnujsljjllulun. Give prob of sequence un.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum -1 and -3981010.429261.\nAnswer: -3981011.429261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9\/(4 + -1 - 0). Suppose -r + 0*z + 1313 = z, 3 = -v*z. Does 73 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (2 - 3) + 3 + -7 + 5. Is 65182 + p + 14\/((-224)\/80) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 + 1 - 28*t - 13 + 6.\nAnswer: -28*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {z: 2, s: 1, j: 3, h: 3, w: 2, e: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -93*h + 14. Let d(p) = -92*p + 10. Calculate -2*d(a) + 3*g(a).\nAnswer: -95*a + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the second derivative of z**4\/42 + 20*z**3\/21 + 100*z**2\/7 + 3*z. Find i such that y(i) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28334*m - 56753*m + 28416*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11356*i**2*q**4 + 11528*i**2 - 10*q**4 wrt q?\nAnswer: -45424*i**2*q**3 - 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -149503, -598051, -1345623, -2392213, -3737815, -5382423?\nAnswer: -7326031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from deqiyqq. What is prob of sequence dyeq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 + 2*l. Let d be v(2). Is (3\/(-4))\/(d\/16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21 + 65 + 3*a - 145 + 59.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 171709846 divided by -15609986\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is l in 9*l**2 - 42 - 1\/2*l**3 + 67\/2*l = 0?\nAnswer: -4, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 10777077 divided by 399151\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3053 - 2495. What is the smallest common multiple of 45 and j?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -5*c + 4, 4*c = -c + 3*v - 6. Suppose -2*g + 3 = -3*r - 6, c = 4*g - 4*r - 16. Let w be 2*(1\/(-6) + (-26)\/(-12)). Solve -8 = -g*u + w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11210202021 (base 3) to base 7.\nAnswer: -542524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-16)\/24)\/(8\/1332). Let k = -114 - v. Let z = -0.03 - -5.03. What is the second biggest value in k, 2.3, z?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 150 - -11. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + 9 + 12 = -4*c, -5*c + 5*z = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1030102101 (base 5) to base 14\nAnswer: 41060d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -1586 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 9350 and 188050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-385788)\/(-117)*8502\/4. Suppose -25*s = -6666518 - i. What is s rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1869197*u - 4462769?\nAnswer: 1869197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -64*f**2 + 253*f + 13099. Let b(a) = -43*a**2 + 169*a + 8736. Let v(o) = 7*b(o) - 5*g(o). What is the first derivative of v(d) wrt d?\nAnswer: 38*d - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((5*(sqrt(432) - (sqrt(432) + sqrt(432)*1 - sqrt(432) - sqrt(432))) - sqrt(432))\/(4*(sqrt(144)*3 - sqrt(144)))*1)**2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 19*k + 17*k + 7, -5*d + k = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - (10 + 6 + (-8 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 - 19) + (1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2029*d - 8980750000 = 2054*d. What is d rounded to the nearest 1000000?\nAnswer: -359000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/757 (b) -85 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*2\/(-4)*26. Let z = -9 - a. Does 21 divide z\/(-18) - (-508)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/((2\/4)\/((-9)\/(-90))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37 and 814?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 95 - 134. Let z be a\/(-13) - (1 + -1). Solve -z*w = 2*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 200875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 705.1462 millilitres in litres?\nAnswer: 0.7051462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(720) + -1 + -2) + -3.\nAnswer: -48*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 86 divide 262094202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 835.5141 meters in micrometers?\nAnswer: 835514100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 40*a + 3. Let d(f) = -32630*f. Calculate d(t(c)).\nAnswer: -1305200*c - 97890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6345 (base 10) to base 15\nAnswer: -1d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -179, -346, -613, -968, -1399?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = r + 4*j + 5, -3*j - 4 = 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2524531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 30 = 3*k. Let g = -10 + k. Let v = 4 - -6. Solve 5 + v = g*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 30 - 29.97. Let t = -64 - -61. Let i = 150 + -145. Sort i, t, a in decreasing order.\nAnswer: i, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q**2 - q**2 - 4 - 2*q**2)*(3 + 5 - 4).\nAnswer: -4*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 498, 500, 502, 504, 506, 508?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 + (-31 - -61) + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -r**3 + 5*r**2 - 4*r + 2. Let n be f(4). Let b(p) = p**n + 0*p**2 + p**2. Let t(i) = 4 - 4 - 2*i**2. What is t(b(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 PM and 1:06 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/((j*(j*j*j*j**(-1))\/j)\/j)*j)**(-28)\/(j**(-14)*(j**(-1\/3)*j)\/j*j) assuming j is positive.\nAnswer: j**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -13195 - 0.5?\nAnswer: -13195.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of 17*j**4\/6 - j**3 - 691*j**2 + 3*j - 198. What is the first derivative of c(g) wrt g?\nAnswer: 68*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.1 (b) -2537 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of u**6 + 2094*u**4 + 146*u**2 - 8 wrt u?\nAnswer: 120*u**3 + 50256*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/302526 and 119\/132.\nAnswer: 6655572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the second derivative of f**7\/28 + f**6\/20 - 81*f**5\/40 + 23*f**4\/8 + 13*f**3\/2 - 18*f**2 - 2*f + 1902. Find o, given that x(o) = 0.\nAnswer: -6, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 383993949.\nAnswer: 3, 127997983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11088, -11048, -10996, -10950, -10928, -10948, -11028, -11186?\nAnswer: -11440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 33*n**2 - 5*n - 1. Let h(a) = 32*a**2 - 6*a - 2. Calculate -6*h(y) + 7*x(y).\nAnswer: 39*y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**2 + b - 1. What is h(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5369 = 154*d + 329 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 11*o**2 - 131*o - 4. Let l(u) = -16*u**2 + 132*u + 5. Give -2*l(g) - 3*x(g).\nAnswer: -g**2 + 129*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 882358786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -20 - -13c?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-68)*(3 + (-418)\/110)\/3.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2128 and 949886.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 500049 - 500599 = 11*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 11, v: 3, d: 4}. What is prob of sequence dvv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(847) + sqrt(847) + -4)**2 + sqrt(847) + -4.\nAnswer: -165*sqrt(7) + 3400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w = 4*w + 1200. Suppose -2*s = -4*g - 434, 5*g + w = -5*s - 265. Let t = 415 - g. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from idrvgdj. Give prob of picking 1 r, 1 g, 1 i, and 1 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -267*j + 278*j - 11 = 0. Sort 5, 2, j, -57.\nAnswer: -57, j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 495, 855, 1451, 2283, 3351, 4655?\nAnswer: 6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 - 16. Let q = 4 + b. Is q\/(-12) + (-630)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1230 divided by 77092?\nAnswer: -615\/38546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -5\/1462 and 71\/16?\nAnswer: 11696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1088) + ((sqrt(1088) - (3 + -1*sqrt(1088)))**2 - sqrt(1088)) - (3*(-2 + sqrt(1088)))**2.\nAnswer: -5467 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 110 = -14. Suppose -5*s - f - 22 = 0. Let y be (-836)\/s + (-2)\/(-7). What is y rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -5*h**2 + 106*h - 17. Let c be m(21). Suppose 2*j - 4*u = -j + 18393, -c*j = 5*u - 24524. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10791 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/30 and 79\/615.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r - 338. Let c(a) = -a + 3. Give l(c(k)).\nAnswer: -2*k - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zbv when three letters picked without replacement from yyfvzczbyyvzyzycvy.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1944 - 768. Let s = -7037\/6 + d. What is the common denominator of s and 38\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 1945*k**2. Let a(z) = 138*z**2. Give t(a(b)).\nAnswer: 37040580*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/2 + 9\/(-22). Let w = 6107\/15 + -407. What is the closest to -0.1 in w, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of 14*i - 3*i**2 + 25 - 2\/3*i**3. Let h(j) = -j + 1. Let y(c) = 6*h(c) - v(c). Factor y(s).\nAnswer: 2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 22b8b6 (base 13) to base 16\nAnswer: c9820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -665.8 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 2*c = 58 + 49, -c - 44 = -s. Let f be s*(2 - (-37)\/(-15)). Let q = -18 - f. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f*f**(9\/5)\/f*f)*f\/f**(10\/3)*f*f**(-29)*f**(-38) assuming f is positive.\nAnswer: f**(-1052\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of -9*1\/(-15) - (-50694)\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 26405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 696944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 143*a - 154*a + 4345. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 16*(2 - (-6)\/(-4)). Suppose 0 = 3*j - z*j. Solve f + 4 - 5 = j for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.4, -2\/11, -110, 0.8, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 3\/2 (b) -4 (c) 402839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 2*k + 1. Suppose m = k*m - 27. Suppose -4*b - 495 = -m*b. Calculate the greatest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5382\/37 + 48512\/333. Factor 2\/9*r**2 - 8\/3 + q*r.\nAnswer: 2*(r - 3)*(r + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*r - 24 = 10*r. What is the greatest common divisor of r and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 149 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the second derivative of p**7\/1260 - 11*p**4\/4 - 23*p. Let h(u) be the third derivative of j(u). Let q(a) = -31*a. Give q(h(m)).\nAnswer: -62*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = 135 - 65. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/4 - -1)*-538. Let x = t - -384. Let l = x - 58. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153974731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 68 = 59. Let x be 4\/(u - (-11)\/(-5)). Solve -p - g + 1 = 6, 3*p = x*g + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -2*s - 17. Let t be u(-5). Let o(y) = 2*y + 20. Let j be o(t). Solve -3*c + 5*p = -11, -3*p - 5 = -j*c + 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (88461\/(-236280))\/(-3) - -12*9\/(-864). Do i and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 595*x + 161*x + 591*x = -368*x + 70315 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -6*g + 27. Let x be b(7). Let m(s) = -s**3 - 16*s**2 - 19*s + 1. List the prime factors of m(x).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 23 = 32133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 1 x, and 1 n when three letters picked without replacement from xxylnylnx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**2 - 17*r - 68. What is the least common multiple of 118 and a(-9)?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*n - 0*n + 10. Let g(i) = -4*i + 2. Let f(y) = -3*y + 2. Let x(b) = -5*f(b) + 4*g(b). What is x(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -4*r - 16, 3*n - 3*r - 12 = 9. Let s be ((-706)\/(-6))\/(n\/90). Suppose 4*d - s = -d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -8*q + 18. Let f be n(2). Suppose -2*t + 4 = f*w, 7*t = 2*t - 4*w + 13. Let d be (4\/t)\/(24\/(-20)). Which is the closest to d? (a) -0.3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (5*1*sqrt(72))**2.\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1821, 1820, 2037, 2478, 3149?\nAnswer: 4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 1398 divide 26180346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 109297368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 5*d = 10*f - 2150, 839 = 2*f + 5*d. Does 61 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 AM and 7:23 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31922 - 82742. Round z to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -213*p**3 - 3*p**2 + 2*p**2 - 110*p**3 + p**2.\nAnswer: -323*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Let j = 141 - 91. Let s = 50.5 - j. Which is the second smallest value? (a) 2 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 1434 = 3*m, -66*m + 6 = -67*m. Solve 3*p - 369 + s = -k, 3*p = -2*k + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 6396.094mm?\nAnswer: 6.396094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2 + 61*q + 97. Give g(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, 3, 29, 55, 75?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 253 and 32\/88*88\/48 - (-2752)\/12.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -587542 - -979652. Let x = -188010 + t. Round x to the nearest one thousand.\nAnswer: 204000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 (base 9) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10110121 - 1001220211?\nAnswer: -221110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -30*u. Let y(j) = 82*j + 30. Let f(w) = 95*w + 27. Let r(x) = 6*f(x) - 7*y(x). Give d(r(a)).\nAnswer: 120*a + 1440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 3*t - h, -8 = 4*t - t - 5*h. Let s be (-2)\/t - 26\/42. Which is the second biggest value? (a) 1 (b) s (c) 7 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 16) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 12) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-10)\/10 + 115*1. Let r(z) = -o + 27*z + 28*z - 5*z + 16*z. Let i(v) = -7*v + 12. Let f(t) = -48*i(t) - 5*r(t). Differentiate f(b) with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 - -3. Let h(z) = 6*z**3 - z**2 + 3*z - 3. Let y(q) = 22863*q**2 + 7*q - 8 + 13*q**3 + 1 - 22865*q**2. Calculate m*h(d) - 3*y(d).\nAnswer: 3*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1803149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*k - 39*k - 145 = 944 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3792822 is divided by 767.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 123908785 and 3218410?\nAnswer: 247817570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*j + 81*j - 8841 + 7871 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -3.38458131 rounded to one decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2076\/13*t + 2\/13*t**2 + 4144\/13.\nAnswer: 2*(t - 1036)*(t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -152, -0.21, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of -d**6\/30 - 11*d**4\/12 + 4*d**3\/3 - d**2\/2 + 44*d. Find the second derivative of u(x) wrt x.\nAnswer: -12*x**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 671783563 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, m: 1, r: 2, p: 1, s: 1, i: 1}. What is prob of sequence sssp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -5*(sqrt(252)*-2 + 0)**2 + (-4*(-2 + sqrt(252) + (sqrt(252) - (sqrt(252) + -1)*-1)))**2.\nAnswer: -1728*sqrt(7) + 31392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times -0.108\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhzzh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the second derivative of -1\/2*h**3 - 2*h - 1\/6*h**4 + 3 - h**2. Differentiate b(s) with respect to s.\nAnswer: -4*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o - 3. Let t(g) = -g + 2. What is 4*d(f) + 3*t(f)?\nAnswer: 5*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 57895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t - 8. Let w be v(-1). Sort w, 2, -3, -4 in decreasing order.\nAnswer: 2, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-80)\/240)\/(16\/(-1488))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 737133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 4:12 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 4 = -3*k, -936*z + 934*z = 3*k + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, h: 1, a: 2, q: 2, u: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 5, -2\/3, -5, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that 0 + 2\/13*z**3 + 0*z**2 - 8\/13*z = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.07 + -0.18. Let t = j - 0.09. Let r(c) = c**2 - 2*c - 3. Let z be r(3). What is the closest to z in -5, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/3, 221.5, -1\/6 in descending order.\nAnswer: 221.5, 2\/3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of k**8\/1848 + 4*k**7\/1155 + k**6\/220 - 2*k**5\/165 - k**4\/33 + 4*k**2. Suppose q(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5932182 is divided by 4427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 23713325693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 726384804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59035 is divided by 1258?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 6 = -2*t - 3*i, 5*t - 3103*i = -3107*i - 37 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -84 + 99. Let o = 50 + -9. Calculate the remainder when o is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/33192 and 83\/71916?\nAnswer: 431496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -21 + 21. What is the second smallest value in -0.3, -4, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 2 + 0)*(4*x - 4*x + 2*x**2) + 2 - 2 + 2*x**2)*(4*x + 43 - 43 + x**3 + (2*x**2 - 2*x**2 - x**2)*(2 - 2 + 2*x) + 399*x - 177*x - 72*x + 3*x**3).\nAnswer: 8*x**5 + 616*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.0705 - -769581\nAnswer: 769581.0705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/11? (a) 0.1 (b) -4 (c) -4782 (d) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, i: 2, o: 3, s: 1, k: 3}. Give prob of picking 1 k, 1 s, 1 i, and 1 o.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 29*t**4 - 11*t**4 + 5*t**4 + (-9*t + 9*t + 6*t**4)*(-1 + 1 - 2) + 2*t**4 - 1 + 1.\nAnswer: 13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 396 and 495297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j + 4. Suppose -d = 15 - 23. Suppose -4*m + d = -0. Calculate the smallest common multiple of 8 and l(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51 + 161 = 5*a. Suppose 3*r = -a + 25. Let v be (r + (-9 - -4))*(-1)\/2. Solve 0 = -2*o - 4*f - 0 - 8, 0 = v*o + f + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oeoyeneoqoo.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 973*s - 306*s - s**2 - 359*s - 307.\nAnswer: -(s - 307)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14268 + 297. Let m = c - 9536. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -27*q - 1. Suppose -3*h + 6*h - 4 = 2*u, 2*h - 3*u - 11 = 0. Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 - k**2 + 2*k + 15. What is the remainder when 32 is divided by a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 442245864.\nAnswer: 2, 3, 137, 134503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 3*b + 3, -3*b - 14 = -5*j - 8. Let c = 2 - 0. Put j, c, -0.2 in decreasing order.\nAnswer: j, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 128 and 195680.\nAnswer: 782720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1036 - 971. What is the remainder when k is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 215, 466, 761, 1118, 1555?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 66 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 2 g when three letters picked without replacement from ggrrggrrrlrggrgdgdg?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from {t: 10, q: 4, x: 3, i: 3}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 - 44 + 8)*(-m + 2*m - 3*m)*(-m + m - m).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 15da (base 14) to base 4.\nAnswer: 331030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (105 - 161*r**2 - 105)*(14 + 11 - 3) + (1 - 4 + 1)*(0*r**2 - 4*r**2 + 6*r**2).\nAnswer: -3546*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -11\/3, -4, 4?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -44\/19 >= -47.64824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-48)\/(-36) - 4\/(-6). Suppose 2*z - 12 = -b*z. Solve 4*r = z*h - 17, 0 + 2 = -4*r - 2*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(-20*(-3)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3*9\/12)\/((-4239)\/504). Let p = 10873\/2198 - q. Calculate the common denominator of p and 99\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 + 10*y - 18. What is z(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 410114 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-50)\/28 - 9\/(-6). Which is the closest to 0.2? (a) 13 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.098 minus 27690.7458013?\nAnswer: -27690.8438013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from ppdppuuppdppupuuupp.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-64)\/(-8) - 1 - 4. Solve -n + 3 = -4*h - 2, -l*h - 5*n = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-13)\/91*-21*1*26\/(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 6, -6, 2\/900151?\nAnswer: 2\/900151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9 - -19. Let x(l) = -2*l + 15. Let f be x(v). Let t be 530003\/f + (-30)\/(-50). Round t to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (4 + -2 - -15) - -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 996*z**2 + 2152*z**6 - 1236*z**6 + 820*z**2 + 975*z**6 wrt z.\nAnswer: 226920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 704 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4617 and 6055167?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 + 4)*15\/6. Suppose 0*p - 3*i - 54 = -3*p, -m*p - 2*i + 97 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1497*d**3 - 752*d**3 - 743*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 101 minutes before 5:23 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 9:13 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 2) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 72416 + -101?\nAnswer: 72315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1407 (base 9) to base 8.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*x + 1. Suppose -c + x = -0. Suppose -c*r - 4*p + 183 = 0, 2*r - 47 = -5*p + 68. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -ba + -5?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -349 + 532. Suppose -9*p + u = 30. What is the remainder when 31 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -m - 68*m**3 + 157*m**3 + m.\nAnswer: 89*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uvvrq. Give prob of sequence qu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 9 + 1 = 0. Suppose b*d - 6 = 2. Let x = 4 - d. Solve 4 = -r - x*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -936321319*q**5 + 563188010*q**2 wrt q?\nAnswer: -56179279140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**2 + 19*m - 17. Let o be p(12). Suppose 2*u = o + 181. Suppose -4*v + u = -104. List the prime factors of v.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -744.3279 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 31, -3, 510, -44\/19, -1?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1\/4, 3\/7, 4\/11, -0.1, 2\/23, 2\/815, 1\/2?\nAnswer: 2\/815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 692.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2422975 + -3?\nAnswer: 2422972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*j**3 + 8*j**3 + 10*j**2 - j**3 - 5*j - 5*j**5 - 5 - 5*j**4.\nAnswer: -5*(j - 1)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the second derivative of g**5\/20 + 5*g**4\/12 - 3*g**3\/2 + 6*g. Let f be p(-7). Let v = -32 - f. Is 6 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = v**2 - v. Let d = 3 - -1. Let k be d*(-1)\/(-2) - 8. Let p(y) = y**2 - 2*y. Let a(u) = k*g(u) + 4*p(u). What is the second derivative of a(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 33*-3327258.\nAnswer: -109799514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3 = -12. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 893, 900, 917, 950, 1005?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (4 - (-2 + 0)) + (-1343 - -1336)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1c47d5 (base 16) to base 7\nAnswer: 21516330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 39220 and 3700.\nAnswer: 196100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 87705321?\nAnswer: 3, 11, 353, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.7 * 310.\nAnswer: -1457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16440 and 546.\nAnswer: 1496040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2842 divided by 49.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/(-2))\/((-6)\/144). Calculate the lowest common multiple of 16 and -4 - 6*k\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-1\/11)\/r)**(-24\/5)\/((r\/r**(7\/3))\/r)**(-10) assuming r is positive.\nAnswer: r**(-2986\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -4\/5 (c) -0.066\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 0 + 1)*(-73*m - 2 + 36*m - 72*m) + 2*m + 1 - 1 in the form w*m + k and give w.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -6 (b) -115 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 74 and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104362 = 3*w - 4*p, -3*w - 13368 = -p - 117736. What is w rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3\/5 and -0.075 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 - (-4 - -2))\/2. Solve 5*i + 5*c - 24 = w, 3*c + 1 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 56, -1417, 3?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10441*a**3 + 4*a - 293?\nAnswer: -62646*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0929 and 0.4599.\nAnswer: 0.04272471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 115*l*m**3*v**3 - 7*l*m**3*v**2 + 21*l*m**3 + 4*l*m*v**3 + 2*l*m wrt v.\nAnswer: 690*l*m**3 + 24*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -406 or -976?\nAnswer: -976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q + 4 - 4)*(-q + q - 2*q)*(-q**3 - q**3 + 3*q**3)*(-5 + 7 - 3 + (-4 + 5 + 8)*(4 - 3 - 2) + 4 + 2 - 4).\nAnswer: 32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -93, -279, -551, -909, -1353?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z. Let i(l) be the third derivative of 5*l**4\/6 + 3*l**2. Calculate i(m(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-104)\/24)\/(3\/(-27)). Suppose 2*k + 90 = -3*k. Let x = v + k. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 555 = 5*f + 4*l, 3*f + 3*l = 4*l + 333. Suppose 3*q - 68 = v + f, -5*v - 175 = -3*q. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of d**4 - d**2 - 10. Let t(c) = 2*c**3 - c. Determine 2*j(p) - 5*t(p).\nAnswer: -2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve w + f = -2, -116*w + 154 = -88*w - 101*w - 3*f - 132 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.382 and 0.1.\nAnswer: -0.0382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 115129.\nAnswer: 7, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -14 + 4. Let q be -1*(-1)\/(-1 - 3 - -3). Let y(h) = -10*h**3 + 2*h + 2. Calculate the smallest common multiple of y(q) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 588021 and 194943?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-606 + 596 + (-4)\/10*-26)*(-10)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 18650*n - 669 + 18626*n - 37282*n + (-4 + 3 + 2)*(-3*n - 2*n + 7*n).\nAnswer: -4*n - 669","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7.3 + 3.3. Which is the third smallest value? (a) 0 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, r: 7}. What is prob of picking 2 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 12213215.6 to the nearest 100000.\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 985 = -5*s - 1115, 2*s + 122 = -s - 5*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 264 = -d, -3*u - 354 = -3*d + 414. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2347.046mg to nanograms.\nAnswer: 2347046000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -6*m**2 - m + 2. Let b(n) be the first derivative of -2*n - 15 + 1\/2*n**2 + 5\/3*n**3. Give -5*b(y) - 4*l(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxiixxxixixxixxxxxi.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-132)\/(-33) + 1\/(-1 - 0). Solve -8 - 7 = v*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -1\/90*n**5 + 2\/9*n**3 - 5 + 0*n - 1\/36*n**4 - 5\/2*n**2. Let x(k) be the second derivative of y(k). Factor x(r).\nAnswer: -2*(r - 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(0 - (-1)\/(-2)). Suppose -i*c = -0*n + 3*n - 317, 5*n = c + 524. Calculate the highest common factor of 42 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 203 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2222 + 70016 = 6*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a hour in minutes?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - g + 178 = 146, b + 5*g = 13 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1031 - -1003122331?\nAnswer: 1003130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3361591 and 11288925.\nAnswer: 756357975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 4, -1\/6, 10 in increasing order.\nAnswer: -1\/6, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -5*h**2 + 44505290*h - 133515825 = 0.\nAnswer: 3, 8901055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -4\/3 (b) 39 (c) -2\/19 (d) -0.1 (e) 947\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -4117818 by 271.\nAnswer: -4117818\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -8*v**3 - 2*v**2 + 10*v - 5. Let d be h(-5). Suppose -5*k - 9*w + 6*w = -1493, 3*k + 2*w - d = 0. Does 43 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*l**2 + 2*l**2 - 5*l**2)*(-53 + 69 - 56) + 4*l**2 - 4*l**2 - 2*l**2 in the form f*l**2 + z + v*l and give f.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -11) + -9 + (3 - (3 + -3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 + -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d - 7*n = -10*n - 7, d - 5*n = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 210894*x**4 - 223506*x**2?\nAnswer: 5061456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*u = 52*u - 60. Let q be 66\/u - (-3)\/(-6)*8. Sort -1\/2, 7, q.\nAnswer: -1\/2, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 152031581 and 793?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5422 (base 8) in base 16?\nAnswer: b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -2227, -2161, -1987, -1651, -1099, -277, 869?\n\"Answer: 9*u**3 + 3*u - 2239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 304124, 608085, 912046, 1216007, 1519968?\n\"Answer: 303961*o + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -3 + 5 + (2 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(3\/5)*w*w)\/((w*w*w\/(w**(-1)*w))\/w)*(w\/(w\/w**(-2\/13)))\/w**(-5))\/(w**(-1)\/w**(5\/2))**(30\/7) assuming w is positive.\nAnswer: w**(1329\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 94 * -0.24\nAnswer: -22.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31226?\nAnswer: 2, 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 12670000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 429491?\nAnswer: 311, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 12:23 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 2.05445 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25609887 to the nearest integer?\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93, 103, 135, 201, 313?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1489905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2)\/(-9) + (-968)\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-153 - -152)*(-1 + 1). Let p = -3 - -6. Let f = -2.8 + p. Which is the closest to w? (a) 0.3 (b) f (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-146)\/((-1752)\/612)*4\/6\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 24, 26, 22, 6, -28, -86, -174, -298?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3*f - 417 = -110, -2*z = -3*f - 121. Solve c = -64 + z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 7. Let s = x + 3. Solve -k + 12 = -o - o, s*o = 4*k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z - z + 0*z)*(-3*z + 3*z + 5*z + (8*z - 7 + 7)*(0 + 2 - 1)) to u*z**2 + d + k*z and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/(-18)*(-72)\/(-16) + 2. Let i = 29797\/1854 + 31\/206. Let r = 16 - i. What is the closest to -1 in r, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -0.31.\nAnswer: 6.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, t: 1, l: 4, y: 3, d: 1, c: 2}. What is prob of picking 2 y, 1 d, and 1 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 285*p**3 - 60*p**2 - 3*p - 27. Let q(c) = -142*c**3 + 36*c**2 + 2*c + 14. What is -3*j(u) - 5*q(u)?\nAnswer: -145*u**3 - u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of h**5\/20 + 13*h**4\/4 + 37*h**3\/6 - 19*h**2 + 1189*h. What is p(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 940*c + 4662. Give h(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -365 + -30355?\nAnswer: -30731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -15 - -17. Suppose t*p = 4*p - 10. Solve p*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1859153032.\nAnswer: 2, 11, 21126739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - 0. Let j = h + 4. Let i = 4.7 + -0.7. What is the closest to j in -0.3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j**2 + 0*j + 2 - 5*j**4 + 33*j**3 - 13*j**4 + 9*j**4 + 7*j**4 + 10*j to the form u + i*j**4 + z*j**2 + l*j**3 + h*j and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*r - 5*r**3 + 2*r - 81*r**2 + 78*r**2.\nAnswer: -5*r**3 - 3*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 31471 is divided by 15730.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 99.9039ms?\nAnswer: 99903.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 84*y - 53*y - 128*y - 131*y to the form g*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 277\/2 + -141. Let z = 149 + -149. Put z, v, 0.5, 2 in descending order.\nAnswer: 2, 0.5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -3\/4, -4, -334, -500 in decreasing order.\nAnswer: -3\/4, -1, -4, -334, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 5*p**2 - 83*p - 117. Determine a(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -42153, -42150, -42145, -42138, -42129?\nAnswer: -42118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 - -6. Let p be (-3)\/6*(1 - l). What is the lowest common multiple of 18 and -6 + p + 3 + 7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2*s**2 - 18*s - 5. Suppose 3*r - 30 = -5*o + 6*r, 0 = 3*o + 4*r - 47. Calculate a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/3? (a) 0.32 (b) 0 (c) 2\/19 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 99182565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 + 10011010100?\nAnswer: 10011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 576132423048*c**4 - 2146872*c**3 + 2*c**2 = 0. Calculate c.\nAnswer: 0, 1\/536718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.31 minus 0.017?\nAnswer: -0.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 2*t + 7. Let o(c) = -5 - 3 + 645*c - 650*c - 12. Give -17*f(q) - 6*o(q).\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 5*l**2 - 3. Let c be k(-5). Let o(n) = 122 - c + 2*n. Let h(u) = -7*u**2. What is o(h(w))?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/3))**15\/(p**(4\/3)*p*p\/(p**(1\/2)*p*p)))**(7\/2) assuming p is positive.\nAnswer: p**(-455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*1 - 6\/(-2). Suppose -k*n = -149 - 6. Suppose 2 = 16*b - 174. What is the remainder when n is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) be the second derivative of z**6\/18 - z**5\/10 + 5*z**4\/4 + z. Let y(t) be the third derivative of o(t). What is the derivative of y(p) wrt p?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**3 - 18*x**2 - 36*x - 51. What is the remainder when 85 is divided by s(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 721 + -728. What is the closest to -9 in w, 1, -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42109843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -12. Let n = 1.98 - m. What is n rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 77579*q**2 + 77518*q**2 - 155205*q**2.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1845 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 28*c**2 + 70*c. Let i(y) = -29*y. Determine a(i(l)).\nAnswer: 23548*l**2 - 2030*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, l: 5, x: 4, z: 2, m: 2, q: 1}. Give prob of sequence qx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 9523.87 years?\nAnswer: 952.387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -0.5, -1\/9, 42, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((0 + sqrt(1872) - sqrt(1872)) + -2 - sqrt(1872)) - (-2*sqrt(1872) + 2)*2)**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 + 3202101?\nAnswer: 3202031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -4 (b) 2\/3 (c) 0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 49274 and 15052.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(2\/7)*a**(-1\/14)\/a)\/(a**(4\/7)\/a*a**(-2)))**(-18) assuming a is positive.\nAnswer: a**(-261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 119\/(177905\/(-230)) - ((-183)\/(-78) - -1)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 112177409 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 171 and 27873?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssxxseqekiqsieseei. Give prob of picking 2 e, 1 s, and 1 q.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 57.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2148)\/(-24) + 1\/2. Let a = b - 79. Suppose -a*q + 16*q = 50. Calculate the remainder when q is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 921595, 3686350, 8294281, 14745394, 23039695, 33177190?\n\"Answer: q**3 + 921582*q**2 + 2*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -32757.864*1\nAnswer: -32757.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 209984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 1:12 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0, -3\/20, -4, 0.2, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12*o + 19*o + 2*o)*(5*o**2 - 5*o**2 - o**2) + o**3 - o**2 + o**2 - 3*o**3 + 3*o**3 - 2*o**3 to the form x*o**3 + s*o + g*o**2 + a and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/540*-4)\/(((-3)\/135)\/1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the second derivative of c**6\/12 - 3*c**5\/8 + 5*c**4\/8 - 5*c**3\/12 - 6*c. Factor a(d).\nAnswer: 5*d*(d - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 58 and 167330?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1758855.4100357 + 1758850.5. Let r = i - -4.91. What is r rounded to six dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -33 - -32.5. Put -5, 4, o in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 + 3*d - 3. What is b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + 10. Let d(x) be the second derivative of x**2 + 0 - 2*x - 1\/20*x**5 + 0*x**3 + 0*x**w. What is the derivative of d(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -122551\/12 - -10221. Suppose 0 = -r - 5, -2*f - r - 21 = 2*r. Find the common denominator of ((-31)\/16)\/(-1) + f\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1174, 1175, 1176, 1177, 1178?\n\"Answer: i + 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28, -38, -50, -64?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 3, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 6 = j. Suppose -5*o + 11 = -j*a, 2*a + o = -3*o. Let k be ((0 - -2) + -1)*-2. Is k < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = -324874*f + 324875*f - 16, -f = 5*l - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -16 in -0.08, 2, -0.2, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41467.\nAnswer: 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in -0.16, -0.3, -3, 5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -77 - -51. Let f = 46 + q. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 513, 1064, 1615, 2166?\n\"Answer: 551*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 8\/11, 0, -0.1, 53.\nAnswer: -1, -0.1, 0, 8\/11, 53","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 71657371 is divided by 334.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 PM and 5:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 + 3 = -2*o. Suppose 3 = -4*x - 0*g - 5*g, 12 = o*x + g. Suppose -x*m + 66 = 18. Calculate the greatest common factor of 96 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 36160043 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 315, 1272, 2867, 5100?\nAnswer: 7971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -0.08 (b) -0.004 (c) -0.061 (d) -1 (e) 2\/7 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -14*g**2 + 134*g - 384. Let h(l) = 5*l**2 - 45*l + 131. Let q(j) = 17*h(j) + 6*w(j). Calculate q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 4*k - 3*d, 5*k - 3*d + 2*d = 18. Suppose 452 = k*r + r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18058573 and 425867.\nAnswer: 9061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 2*b + 1 = 0, -4*v - 86*b + 81*b - 32 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(7) + 1) + -5.\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*h - 4*h - 1596*h**2.\nAnswer: -1596*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = -483 + 483.0000247. What is s rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the first derivative of 2*q**5\/15 + 5*q**4\/6 + 8*q**3\/9 - 57. Factor v(f).\nAnswer: 2*f**2*(f + 1)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7286?\nAnswer: 2, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 159709, 159711, 159713, 159715, 159717, 159719?\nAnswer: 159721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2309846, -2309792, -2309738?\nAnswer: -2309684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2393 is divided by 347.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -12. Suppose 15 = -4*y - p. Let r = 3 - 5. Sort y, 4, 3, r.\nAnswer: y, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 5*z = m - 20, -2*m = -2*z - 20. Sort m, -3, -2.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 24974, 49893, 74800, 99689, 124554, 149389?\n\"Answer: -i**3 + 24926*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6589 + -6572. Solve 5*j + 2*y = 25, j = -4*y + h + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -1\/5 (c) -2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m - 4*m = -20. Suppose -6*w + 1 = -m*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38539337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 + -1 - (21 - -95). Let n be t\/8*1*8\/(-6). What is the highest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 787*f - 4*b - 4 = 2372*f - 790*f - 791*f, 0 = 2*b - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4 - (23 + -21 - (0 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 214c1 (base 14) to base 10\nAnswer: 80529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = 2*f - 30, 4*b = -2*f - 31 - 23. Let o be (16\/b)\/(-4)*7. Calculate the greatest common divisor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -8*a - 47. Let g be p(-6). Sort g, -1, 5, -6 in descending order.\nAnswer: 5, g, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/38*14877\/522?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/8*(-32)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (42\/(-126))\/(2\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 8823559732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3962 - -4138.1. Let p = c - 184. Let a = p + 7.8999776. What is a rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 121 + 145 = 0. Let v(l) be the first derivative of 6 + 0*l**2 - 5\/2*l**z - 8\/3*l**3 + 0*l. What is the third derivative of v(m) wrt m?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6535758 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 32*n + 4. Let r(o) = -o**3 - 17*o**2 - 18*o - 27. Let c be r(-16). Suppose -c*f + 10*f = 5. Is i(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -442456 - 515?\nAnswer: -443304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 g when three letters picked without replacement from glqaga?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -33 + 35. Suppose 0*l = z*l - 34. Find the second derivative of -108*i**2 - 5*i + 89*i**2 - l*i wrt i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -37, -19, 41, 167, 383, 713, 1181?\nAnswer: 1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 17 = -3*r. Let d be (6\/r)\/(3\/(-10)). Suppose -d*z = -2 - 26. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 2*t - 24. Let w be ((-8)\/t)\/((-20)\/30). Determine g, given that -2\/9*g**w - 2\/9 - 4\/9*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 6829*g + 28. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -15048+-3606\nAnswer: -18654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*w - 98 + 42. Suppose w*m - 36 = -28. Suppose 3*u + 3*i = 7*i - 14, -2*u - i = -9. Solve 0 = -u*p - 8, -3*x = 2*x - m*p - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ohfxohhoafffahaxfh. Give prob of picking 1 o, 2 h, and 1 a.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 4*b**2 - 72*b + 10. Let f be j(18). Solve 13*x = 8*x + f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/337)\/(12\/(-6)). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27 or -10.15?\nAnswer: -10.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 314924870 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 - -9. Let d = 1 + i. Let l = 17.000009 - d. What is l rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 + 10c7?\nAnswer: 10c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 32, -5, -1 in descending order.\nAnswer: 32, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 264*z + 124 = -4*m + 261*z, 3*m = z - 2*z - 88 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -2585.39 to 0 decimal places.\nAnswer: -2585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-2*sqrt(300))**2.\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/43 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/3)\/(40\/(-90)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/99, -73, -9\/8, 476 in decreasing order.\nAnswer: 476, -2\/99, -9\/8, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -120421 (base 5) to base 2.\nAnswer: -1000110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1835 - 184 - 527 + 2611 + 3*w.\nAnswer: 3*w + 3735","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 136 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -4847961.\nAnswer: 5\/4847961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1.033315 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -3*u**3 - 458*u + 2 + 2*u**3 + 3*u**2 + 457*u. Calculate o(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*h**2 + 2*h**3 + h**3 + 5*h**3 + 8*h**2 wrt h.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15.4 + -17. Let l = k - 6.4. Let m = -12 - l. What is the biggest value in m, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-358)\/(-14) + (-54)\/(-126). Let q = 105\/4 - t. Factor -1 - q*n**2 - n.\nAnswer: -(n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u. Let c(x) be the first derivative of 47*x**3\/3 + 25. Determine b(c(k)).\nAnswer: 94*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 - 4. Let x(q) = 2*q**3 + 3*q**2 - 7*q + 15. Let y(a) = a**3 + a**2 - 4*a + 8. Let s(z) = n*x(z) + 7*y(z). Determine s(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -12*r**2 + r + 1. Let z be d(-1). Let b be z\/8 + 5\/(-2). Let y = b - -7. Solve y*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of -f**5\/10 - f**4\/2 - f**3 - f**2 - f\/2 - 63. Factor a(d).\nAnswer: -(d + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -5*i**2 + 1031*i - 33086. Determine z(40).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-3) + 4\/6. Let y = -23 + 25. Let o(n) = -222*n**2 + 4 - 5 + 223*n**y. Let f(i) = 2*i**2 - 6. Give d*f(v) - 3*o(v).\nAnswer: -v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1542047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1269165780 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4892 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*a + 66*a - x - 316 = 123*a, -8*a + 2*x + 216 = 0 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-6) - (-96)\/45.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4 - 7) + -1*2. Let v(c) = -3*c**3 - 4*c**2 - 4*c - 9. Let l be v(x). Calculate the greatest common divisor of l and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 988327447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.5537 - -1.574. Round h to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/(-78) - (-56)\/26. Let d be (-65)\/(-10) + 1\/m. Calculate the remainder when (-2)\/d + 30\/7 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 174192*u - 1393466. Calculate j(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*q + 31. Let c(x) = x**2 + 4*x + 11. Let v be c(q). Does 13 divide -2 + (v\/12)\/(2\/81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 555 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -857 + 867. What is the least common multiple of ((-6)\/(-5))\/((-81)\/(-1485)) and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -5*i + 4*o + 32, 0 = -2*i - 4*o - 18. Let f(r) be the first derivative of -r**2\/2 + 18. Calculate f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 58, -1442, 14, -4, -1 in ascending order.\nAnswer: -1442, -4, -1, 14, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -3*v. Let m(k) be the second derivative of -2*k**3\/3 - 4*k. Let l(w) = -5*w. Let r(i) = -6*l(i) + 7*m(i). Give p(r(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 263*m**2 - 10492*m - 1090. Calculate f(40).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18491*i**2 - 11 + 7 + 6*i**3 - 18491*i**2 + 4.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11\/10 - 3\/5. Let s = 1.8 - 2. Which is the nearest to t? (a) -0.1 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 261335 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1013, 3838, 8565, 15212, 23797, 34338, 46853, 61360?\n\"Answer: 3*q**3 + 933*q**2 + 5*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 6*k - 7. Let y be n(-3). Solve y*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, m: 7, y: 5}. What is prob of sequence mym?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-20 - 2) + (11 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -16231698 divided by -11202\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 141.139 - 141. Let k = -103.861 - x. Let z = 103.99921 + k. What is z rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3779, 5944, 9543, 14570, 21019, 28884, 38159?\nAnswer: 48838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-60)\/(-8)*12\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -752 (base 16) to base 2\nAnswer: -11101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1220, 2392, 3578, 4784, 6016, 7280?\n\"Answer: q**3 + q**2 + 1162*q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*b*m*n**2 + b*m*n - 2*b*n + b - 6*m*n**2 + 5*n**2 with respect to m.\nAnswer: 10*b*n**2 + b*n - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -314, -682, -1302, -2174, -3298?\nAnswer: -4674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -21.83124 to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 588190 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iibibbbbibbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -23802400 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3672 - 147 = -114*t - 121*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2423051 + -30?\nAnswer: -2423111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gdk when three letters picked without replacement from {k: 4, g: 4, d: 1, l: 6, o: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/18 and -101\/1096.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -0.6 at least -61121342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 0*c + 8 = 4*z, 0 = -453*c - 450*c + 907*c - z + 17 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 36 = -0*f. Let m be f\/(-18) + 22\/4. Let a be ((-3)\/30)\/(2\/m)*-22. Are a and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - 2*d - 20, i + i - 2*d - 16 = 0. Suppose -2 = -i*x - 22. Put x, 8, -1 in decreasing order.\nAnswer: 8, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 7*s. Let k(z) be the first derivative of 61 + 0*z - 9\/2*z**2. Calculate k(n(q)).\nAnswer: -63*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**3 + 3*f**2 + 6*f - 1. Determine v(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 1052 by -10.\nAnswer: -526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, j: 1, p: 4, k: 4, l: 3}. Give prob of picking 1 p and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -119481, -477784, -1074957, -1911000, -2985913?\n\"Answer: -119435*o**2 + 2*o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - 110011101012010011?\nAnswer: -110011101012010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + 2300202013?\nAnswer: 2300202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -29*j**2. Let l(g) = -7. Let w(b) = -2 + 3*b**2 + 4 - 3 - 2*b**2. Let h(s) = -l(s) + 7*w(s). Give h(k(a)).\nAnswer: 5887*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 77 - 45. Suppose -a - 20 = -o. Suppose -24 = -2*b - 2*p, -4*b - 5*p + 3*p = -o. What is the least common multiple of b and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -6.2 and -1333.701.\nAnswer: -1339.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7642 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 3 - -1 - (17 - (60 - 30 - -33)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 22 - a0?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, m: 2, g: 1, y: 5, b: 2, t: 1}. What is prob of picking 1 c, 1 g, and 1 y?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 175015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 2*b + 37. Let v = -726 + 709. Give s(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 2 - 16 = c, 0 = 3*q - 3*c + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 v when three letters picked without replacement from vbfgbgov.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 28 = -47*r + 49*r, 8 = -4*z - 3*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -3*l + 39, 2*l + r - 26 = 4*r. Suppose -2*g - 18 = -5*z, -4*g + 3*g = 3*z - l. Solve 0 = -z*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/4765913 and -32\/3811?\nAnswer: 176338781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 199159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of 9 + 0*h + 1\/5*h**3 - 1\/25*h**5 - 1\/5*h**2 + 0*h**4. What is o in u(o) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*n + 3*n**4 - 6*n**2 + 3*n**3 - 2 + 7*n**2 - 5*n**2 + 6*n**2 as q*n**2 + c*n + h + m*n**3 + u*n**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2567, 2531, 2413, 2171, 1763, 1147, 281, -877?\n\"Answer: -7*t**3 + t**2 + 10*t + 2563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*o**3*z + 2*o**3 + 2574*o**2*z**2 + o*z - 8*o - 93 wrt z?\nAnswer: 2*o**3 + 5148*o**2*z + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -298107 (base 16) in base 6?\nAnswer: -134144343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 - 7*o**2 - 13*o + 1. Let f be p(-4). Suppose x = f*y + 105, 4*y + 71 - 295 = -2*x. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136) + -1*sqrt(136))*-6)\/(-6*sqrt(32)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 3*w + 2*a, -a = 3*w - 2*a - 26. Suppose 0*t - w*t = -45. Suppose t*x + 52642 = 4*z + 10142, -8500 = x + 5*z. What is x rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2228.4309 months to millennia.\nAnswer: 0.185702575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 8) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 11 - (1679464\/151050 - (-4)\/(-38))\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 30229618*w**2 - 157806748 wrt w.\nAnswer: 60459236*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -17.3 - -12.4. Let y = 0.1 - 0. Let o = m - y. Which is the closest to 0? (a) o (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 177\/(-4) + 4\/16. Let k = n + 64. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 1970 - 376 = 0. Suppose -4*g + 812 = -0*g + 4*n, -4*g + t = -n. Suppose -4*x - 5*z + 192 = 0, z = 4*x + 4*z - g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wezgf. Give prob of picking 1 w and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 39, 5, 10, 12, 3.\nAnswer: -4, 3, 5, 10, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 170 by -34.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2849 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.3 (c) -2 (d) 0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.592 - 2.32. Let o = 0.088 - i. Which is bigger: o or -1.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -437*l - 1557*l - 3059*l as f*l + b and give f.\nAnswer: -5053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes before 4:42 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*m + 8*m + 378. Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a**2 + 135*a + 543. Determine i(-5).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 2 = -2*z, -2*z - 3*h = 3*z - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 656655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 5, 4*a - 24 + 294 = 5*b. Let z = -3 - -50. Let t = b - z. Sort 5, -13, t.\nAnswer: -13, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*m + 96*m**2 - 15*m + 8*m**2 + 9*m**2 - 349*m**2.\nAnswer: -236*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 48704713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -423441*p - 2 - 759295*p + 2.\nAnswer: -1182736*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:07 PM and 3:03 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4 + sqrt(208) + -1 + -4 + (sqrt(208) - (0 + sqrt(208))) + 4 + (-1 + sqrt(208) + -2 - sqrt(208)))**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 = -4*v - 5*b, v - 12 - 9 = -2*b. Find the first derivative of -27 + v + 3*o - 35 - 27 wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is (((-220)\/(-18))\/5)\/(110\/(-990))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j - 7. Let g be y(6). Let t be (-2)\/7 + 22\/28. Do t and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 5*u + 734 = 0, 196*u - 199*u + 750 = 2*i. What is the smallest common multiple of i and 18?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2606, -2\/15, -66?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 231*z**2 + 1. Let a(o) = 21*o**2. Give a(d(t)).\nAnswer: 1120581*t**4 + 9702*t**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbzb. What is prob of picking 2 b and 1 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 260, 876, 1502, 2138, 2784, 3440, 4106?\nAnswer: 4782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6318 and 9954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + 8 + 0 + -2. Suppose 3*t - 5*b - 32 = 0, 2*b - 4 = -3*t - 0*b. Suppose -3*a + t*a = 0. Solve 4*i - k = -3*h, a*i + 3*i = -h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from {n: 4, l: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -473.\nAnswer: 1\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4949*j**4 - 14*j**2 - 703487.\nAnswer: -19796*j**3 - 28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -5*r + 152. Let n be d(30). Let w be 1923 + 4 + (-3 + n - -6). Round w to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -10*z + 6 + 3 + 8*z - z**3 - 6*z**2 - 2*z**2. Let j be h(-8). Solve g - j = -i - 3*i, -g = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -27\/4 (b) 2\/9 (c) 6 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -10.2 and -0.08?\nAnswer: 0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g*g*g**(2\/5)*g)\/((g**1\/g)\/g)*(((g\/(g\/g**(2\/9))*g)\/g*g*g)\/g)\/(g\/g**(2\/7)*g)*g*g**8*g*g**1*g**(2\/11)\/((g**(3\/7)*g)\/g) assuming g is positive.\nAnswer: g**(54266\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 16*l - 18*l. Let z(n) = n + 8. Let k be z(l). Let v(a) = -34*a - 104. Let g(o) = -7*o - 21. Let t(b) = k*v(b) - 16*g(b). Differentiate t(r) wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 18*c + 17*c = 21, -3*c = -5*s + 53. What is the highest common factor of s and 76?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 * 1.17\nAnswer: -18.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1\/11, 0.4, -1\/7 in decreasing order.\nAnswer: 0.4, -1\/11, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 8*o**2 + 6*o - 4. Suppose -2*b = 8 - 2, 0 = -4*j + b - 25. Let g be m(j). Is 7 a factor of g*(-1)\/((-6)\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k + 2*y + 14, 2*y + 1 = 5. Is ((-2)\/k)\/((-8)\/2256) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 20130294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 88 - 82. Let w(i) = i - 1. Determine w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 301*h**3 + 6*h**2 - 11*h + 5. What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/15 and 19\/12075.\nAnswer: 12075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/1891 in -2\/15, -3\/2, 5.052?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) 2\/19 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 216371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -3, 7, -2.\nAnswer: -3, -2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 101*y**2 + y. Let b be m(-2). Let x be 0 + 32 - (427 + -401). What is the highest common factor of x and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 110\/73, -0.3, -203.4 in descending order.\nAnswer: 110\/73, -0.3, -203.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-30)\/25 + ((-2172)\/(-180) + -12)\/((-3)\/(-414))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 49513 and 2.\nAnswer: 99026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -6*h**2 + 70*h - 11. Determine s(8).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -38*x**3 + 4*x - 307?\nAnswer: -114*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bbl when three letters picked without replacement from aaboaoqlaaobaqabb.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -193*m + 1456 - 435 = -909 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 89 a factor of 4361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*x**3 - 3*x**3 + x**3)*(-43*x + 5 + 83*x - 12*x) to the form z*x**3 + a*x**4 + i + r*x**2 + w*x and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 466667.1 centuries to years.\nAnswer: 46666710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-12 + 13) - (-2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 5 (b) 4 (c) 2 (d) 0.202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dyyyydyydyyyyyyy. What is prob of sequence yddy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 - 4. Suppose -5 = b + 2*v, 2*b + 15 = -v - 4*v. Solve -i + b = 3*r - 0*i, 0 = 2*r + i - m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a + 2. Let y be c(5). Let x be (-2 - 0)\/(3\/y). Find the first derivative of -g**2 - 1 + 4*g**x - 4*g**2 wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, n: 1, e: 1, d: 1, j: 1}. What is prob of sequence dj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 4 = 5*q, -2*q + z + 2 = q. Suppose q*v - 30 = -3*v. Solve -5*b + v*b + 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + 216094422519\nAnswer: 216094422519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 89 and 74226.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.1, 15, 3\/7, 37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -2*a**3 + 3*a**2. Let w(h) = -2*h**3 + 2*h**2. Let j(f) = -f**2 - 7*f + 15. Let n be j(-9). Determine n*y(o) + 4*w(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 5 - 5 = 0. Let m(h) = -h**2 + 15*h - 5. Let v be m(15). Let o be (-4)\/6 + 6\/(-45)*v. Solve o = p*u - u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(-6 + -1 - -2). Let r = 56 + -52. Suppose 0 = -j + w*t + 1691, -2*j = -6*t + r*t - 3414. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41 - -38 - (-12 + -4 + 1 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -3*x + 111. Let n be b(36). Solve n*l = -6*l - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/6 + 960\/18. Suppose 31 = 3*k + m + 177, -5*k = 2*m + 243. Let f = k + n. Solve -f*d - 20 = 4*a + a, 0 = -4*d - 3*a - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2654 - -2762) + (-24 - (-8 + 4))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 2293 = 2*g - 2368, 0 = -4*v + 2*g - 64. Let l(i) = 2*i**2 + 19*i + 14. Let b(q) = -q**2 - 9*q - 7. Let o(k) = 5*b(k) + 3*l(k). What is o(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 PM and 9:02 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 389311 and 82199?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = l + 7*l. Solve -l*k - 20 = 2*y, 0 = -2*k + 4*k - 4*y - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 79.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**2 + n**2 + 0*n**2 + (9*n**2 - 7*n**2 + 5*n**2)*(0 + 0 + 2) + (-15*n + 3*n - 3*n)*(-2*n + 2 - 2).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -25 + 40. Suppose -3*l + 15 = 3*b, -o = 2*l - 2*b - b. Suppose 3*r + 8 = -p - 0, l = -r + p + 4. Sort r, -2, 2 in decreasing order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*u = 4944993 - 4944057 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 5 - 28 = -5*f, 4*a - 7 = -3*f. Suppose -5103 = f*i + 2*t - 1283, -5*i - t = 3820. Let y = -1174 - i. What is y rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**2 + 6390*k - 12680. Let m(l) = 2*l**2 - 8520*l + 16900. Let d(n) = -11*i(n) - 8*m(n). Factor d(t).\nAnswer: -5*(t - 2)*(t + 428)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -1, -2\/11, 54.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p**(3\/7)*p))**(-36\/7)\/(p**7*p\/p**(-10)) assuming p is positive.\nAnswer: p**(-774\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -3792 * 4\nAnswer: -15168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 119 + -57. Let h = 90 - j. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 4*q + 181. Let s(a) = -3*a - 182. Let y(n) = -5*b(n) - 6*s(n). Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 35, 53, 73, 95?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -27\/7 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 84 and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 + 4*i**2 - 9*i - 7. Let p be m(-6). Let v = 256 + -370. Let f = p - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 334 is divided by 85.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5*16\/10 + (1 - 3). Let a(x) = 4*x**2 - 101 + 3*x - x**3 + 102 - c*x. Let t be 8 + -2 + -1 + -1. What is a(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (37600\/(-3))\/((-11)\/66). Suppose -7*m - v = m. Round m to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v = -z - 22, 2*z = 49*v - 44*v - 18 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7230, 28813, 64632, 114561, 178474, 256245?\nAnswer: 347748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2 + 45*x - 405. What is d(16)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 28 and 3631502?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*y + 20 = -179 - 362 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 47846 and 564.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 + 50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that w**2\/2 - 1642*w = 0.\nAnswer: 0, 3284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -428079*w + 258373*w - 445306*w - 430180*w.\nAnswer: -1045192*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 240.890517us to weeks.\nAnswer: 0.0000000003982978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 5*k = -9 - 6, -4 = 4*l - 4*k. Which is smaller: l or 26?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 7*o**2 + 3*o**2 - 2)*(1256*o + 3*o**3 + 0*o**3 - 1292*o).\nAnswer: -12*o**5 + 138*o**3 + 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 401132, 802380, 1203630, 1604882?\nAnswer: 2006136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-4)*y\/(y*y**(-7)))**(2\/5) assuming y is positive.\nAnswer: y**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -3*k - 2. Is 8 a factor of j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -6, -104, 7 in increasing order.\nAnswer: -104, -6, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 42612?\nAnswer: 2, 3, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 12134402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 2*i + 0 + 38 = 0, -3*w + 5*i = -49. Suppose -a = 5*a + w. List the prime factors of (6\/(-4))\/(1\/294*a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10071431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(125)*2 - sqrt(125)) + 4)*6 - (sqrt(135)\/(sqrt(36)\/sqrt(4)))\/(sqrt(270)\/sqrt(10)).\nAnswer: 24 + 89*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 2*r**3 + r. Let i be t(1). Let m(s) = -s**i - 2 + 0*s**2 + 2*s**3 + 6*s - 5*s**2. What is the units digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) -3 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 0*r - 117 = u, -5*r = -5*u - 505. Let q = 127 + u. Solve 2*s + t - 1 = -0, -2*t - q = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -69533828*s - 42043104.\nAnswer: -69533828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o. Let q(j) = 4*j**2 - 12*j - 8. Let r(c) = 8*f(c) + q(c). Factor r(m).\nAnswer: 4*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 22*h**2 - 2*h - 10. Let x = 22 + -19. Let b(q) = -7*q**2 + q + 3. Let j(t) = x*c(t) + 10*b(t). What is u in j(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 38*(-1)\/(-14) + 8\/28. Let v(f) be the third derivative of -f**6\/120 + f**5\/30 + 5*f**4\/24 - f**3\/2 - 16*f**2 - 10. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 98 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2 - 2069*z + 457884.\nAnswer: (z - 1817)*(z - 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -44020223, -44020218, -44020213, -44020208, -44020203?\n\"Answer: 5*t - 44020228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i - 2. Let a be h(8). Solve a*x - 8 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 2 - 3, 3*c + 12 = 3*p. Let q be (-32)\/c - 18\/27. Suppose -3*o = -q*o + 42. Calculate the remainder when 11 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 13*1 - (1 + -2). Suppose 18 = 3*o - 4*p, 3*o = 2*p + h - 2. Let d be (-2*5)\/(o + 0). Sort 1, -3, d.\nAnswer: d, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -27.55 - 0.95. Let t = -25 - d. Let a = -0.5 + t. What is the smallest value in -2\/3, -0.3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2\/3 - 14*c\/3 + 20\/3.\nAnswer: 2*(c - 5)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 65*q**2 - 766*q + 765. Calculate l(1).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 390 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - 5*s - 4 = 0, 4*v - 3 = s + 17. Let t(y) = y**2 - 9*y - 4. Let h be t(9). Let a be ((-2)\/h)\/(9\/(-9)). Put 0.5, v, a in descending order.\nAnswer: v, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -58*g - 310*g + 784*g as i + k*g and give k.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -448 - -529. What is the highest common divisor of i and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 89 divide 5108689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in -4, -1, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -w**2 + 6*w + 1. Suppose 0 = 5*q - 15, -5 = -k - q + 4. What is the units digit of r(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -0.4, -79\/5, -32.4, 12 in descending order.\nAnswer: 12, 2\/5, -0.4, -79\/5, -32.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of 11*o**10\/1260 - 7*o**6\/90 - 7*o**3 - 50. Let n(g) be the third derivative of u(g). Find the third derivative of n(i) wrt i.\nAnswer: 5280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 57287?\nAnswer: 57287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3056 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/15, -6.7, -3, -1, 2\/31?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*f - 3 = 14*f. Suppose -a + 4*l + 16 = -2, f*l = -3*a + 84. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-10)\/4*-1*14\/5. Suppose b*i + 57727 = 2115727. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*j + 2*p + 17, 3*j - 4*p - 5 = 26 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -a**2 - a - 1. Let y(c) = 2*c**2 + 4*c + 1. Suppose 4*o - 73 = -85. Calculate o*p(z) - y(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + (1 - -3))*2. Let z(p) = 0*p**b - p**2 - 2*p**2 + 4*p**2. Let m(t) = -3*t. Give z(m(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -2, 4, -12, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 11.971 - 12. Let q = -37.971 + r. Let n = 37.8 + q. Which is the nearest to 0.3? (a) n (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 987785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-72)\/(-2))\/((-36)\/(-18))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w + 64 - w - 62. What is t(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 5*((1 + sqrt(832) + 2 + sqrt(832))**2 - sqrt(832))*-2*-5.\nAnswer: 4400*sqrt(13) + 166848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 3 - 1 - 4*q**3 + 6*q**2 + 7*q + 2*q**3 - q**2. Let c be o(5). What is c rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*x + x. What are the prime factors of -1*(-2 - x) + 42?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 331786310216667662\/373681 + -887886486648. Let n = u + -11\/9706. Let f = n - -9\/14. Is f less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.63, -119, 0.3 in decreasing order.\nAnswer: 0.63, 0.3, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 2*b**3\/5 + 7962*b**2\/5 + 1585632*b + 1584040 = 0.\nAnswer: -1990, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242247 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-50*(-32)\/120)\/(6\/3753)?\nAnswer: 2, 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*a - 0*a. Let x = a - 18. Let c(l) = l**3 + 9*l**2 + 6*l - 3. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = w**3 + 19*w**2 + 16*w - 45. What is c(-18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 975708168.\nAnswer: 2, 3, 40654507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 2436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 5*f**2 + 443*f - 178 = 0.\nAnswer: -89, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 45\/(-75) + 4356\/10. Let n be (-16)\/12*x\/(-20). What is the highest common divisor of n and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -5*t**2 - 10. Let a be d(7). Let n = a + 495. Is 48 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2 + 0.1. Let x = a + 0.3. Let i(y) = y**3 - 16*y**2 + 28*y - 5. Let u be i(14). Sort x, u, 2 in decreasing order.\nAnswer: 2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3524 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1835, 3656, 5479, 7304?\nAnswer: 9131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3 + -5 - -2*(-62)\/2. Let d = -28 - l. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*f**3 - f**3 + 0*f**3)*(3 - 4 + 0) - 17*f**3 + 14*f**3 - 26*f**3.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 3092 = 3*m + 8*j, 0 = 5*m + j - 5168. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of 2*y**5\/35 + y**4\/14 - 2*y**3\/21 - y**2\/7 - 3. Determine h, given that q(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 178943 - 16874. Let t be 0 + 1*(0 + 2). Suppose -t*q + 3*w = i + 19922, 0 = -5*q + 2*w - 454994. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 26, 43, 60, 77, 94?\n\"Answer: 17*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) -0.07 (c) -2873 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1064429767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 3698*l**5\/9 - 4042*l**4\/9 + 352*l**3\/9 - 8*l**2\/9 = 0.\nAnswer: 0, 2\/43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1787863515?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**4 + 27068*o**3 - 122094720*o**2 + 183467593728*o + 367423782912.\nAnswer: -2*(o - 4512)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 3*p - 7 = 2*o, p = 4*o + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1*(-2 + 2 + 0). Suppose -3*o + 3 = -u*o. Calculate the highest common divisor of 7 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-r - 2*r + 0*r)*(65907 - 38080 - 35992) to q + x*r and give x.\nAnswer: 24495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f = n + 13, -4*n - 5*f = -2*n + 6. Let i(l) = -l**2 - 7*l + 5. Let o be i(-7). Suppose n*y - o*y - 18 = 0. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4 - -28)\/6)\/5. Let x = -0.02 + 3.02. Which is the smallest value? (a) -1\/3 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -2, -0.2332 in decreasing order.\nAnswer: 8, -0.2332, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the third derivative of -70*q**4\/3 + 7615*q**3\/6 + 3231*q**2. Find the first derivative of n(w) wrt w.\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 45349 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -78 divided by -39.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*j - 32*j = 342 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11478052 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 12. Let z = l - 3. Let g(t) = -t**2 + 6*t - 3. What is g(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185817 - 613368 = -16*h - 124065. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*z**2 + 112*z - 59*z - 53*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 69\/3100 and 44\/93.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * 9384\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65*t + 416*t - 2 - 77*t.\nAnswer: 404*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 3*s - 6 = 0, -2*s - 3*s = -4*j + 10. Let b = 5.3 - 5.6. What is the nearest to j in -1, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 247473.93 hours?\nAnswer: 10311.41375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*q**3 - 6*q**3 - 201*q**2 - 8*q**4 + 23 + 18*q**4 - 23 wrt q?\nAnswer: 240*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80207734799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3910, -3915, -3920, -3925?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -804.3941 rounded to 0 decimal places?\nAnswer: -804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -85, 0, -11531 in descending order.\nAnswer: 0, -4, -85, -11531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 2167550, 4335103, 6502656, 8670209, 10837762, 13005315?\n\"Answer: 2167553*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1923460 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2 times 50400\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1659 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 10987, 41752, 93027, 164812, 257107?\n\"Answer: 10255*h**2 + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 478 = 4*l, -3*h + 290 = -l - 3*l. Suppose -15*p = -h - 206. Calculate the remainder when 72 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, q: 1, g: 2, z: 3}. What is prob of sequence zq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 23321554 + -421?\nAnswer: 23321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 15587567227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-1))**(-5\/2)*(r*r**0)**(3\/5))**(2\/17) assuming r is positive.\nAnswer: r**(6\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f**3 - 2*f + 9*f**2 + 6*f**2 - 30*f**2 + 14*f**2 - 1 to g*f**2 + c*f**3 + n + k*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n. Let x(d) = -36771*d. Calculate x(i(p)).\nAnswer: -36771*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-4))\/(225\/(-6))*70\/21?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence etee when four letters picked without replacement from eeeetteettttte.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 79656, 318633, 716928, 1274541, 1991472, 2867721, 3903288?\nAnswer: 5098173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = l - 80. Solve 0 = -5*b + 3*i + 2*i - 5, b = 4*i - l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*h + 2*d - 0*d, 5*h = d + 9. What is the second derivative of -a**2 + a**h - 3*a**3 - 5*a + 0*a**2 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3*r + 1383 = u, 5*u - 2315 = 3*r. Let z be u\/14 - 2 - 16\/56. Solve j + z - 35 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2 + 4 + -1 + 0. Let z be (1 - 0) + 2\/c. Suppose z*m + m = 3*j + 19, 15 = -4*j - 5*m. Put j, -6, 0 in descending order.\nAnswer: 0, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, s: 1, n: 1}. Give prob of sequence nms.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 17 divided by 20523\nAnswer: 17\/20523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-228)\/(-16) + (63 - 59)*(-9)\/6\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 932 + 1114 = 5*k + v, -v - 4 = 0. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144996?\nAnswer: 2, 3, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-50*w - 18*w - 74*w + (5 - 4 + 0)*(-2*w + 2*w - w) - w + 1 - 1)*(0*w + 0*w + 7*w**3).\nAnswer: -1008*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - 9*q + 16. What is r(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 48*s**2 + 22*s - 47. Let q(c) = 3*c + 3. Let j be q(4). Is t(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1591 - 971. List the prime factors of f\/26 + (-8)\/(-52).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 divided by -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -9*34\/(-81) + (0 - -4 - 8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = -20, y + 3*f + 14 = -f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -22.1 + 22. Let o be (-2)\/(-1)*(-2)\/(-14). Which is the nearest to o? (a) x (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 485 + -265. Suppose 0 = 6*g - 2*g - o. What is the highest common divisor of 22 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 9*a**3 - 6319668*a**2 - a - 102729698 wrt a?\nAnswer: 27*a**2 - 12639336*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -6*s + 2*s + 129, 5*g = -2*s + 57. What is the highest common divisor of s and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/197 and -65\/9330708.\nAnswer: 9330708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 + 6)\/(6\/8). Suppose -q*o = o - 15. Suppose -3*t + 3*x = -39, -x + 5 = t + 2. What is the remainder when t is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-2)\/814*1). Let t = 227 + w. Let x be t\/(-22) + 2\/(-11). What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 78.58217ml to litres.\nAnswer: 0.07858217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*h + 4*h + 36 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*h**3 + 12*h**3 - 4*h**3 - 5*h**3.\nAnswer: 37*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 21 = -3*c, 4*r - 18*c + 28 = -14*c. Let -1\/5*s**2 + 1\/10*s**3 + r + 1\/10*s = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 + 2*g + 2. Let m(h) = 12737*h**3 + 4*h**2 + 8*h - 9051. Let x(f) = -m(f) + 4*q(f). What is the derivative of x(z) wrt z?\nAnswer: -38211*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 159469283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69)\/2*(255\/(-459))\/(15\/(-18))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 331, -169, -1037, -2279, -3901, -5909, -8309, -11107?\n\"Answer: -z**3 - 178*z**2 + 41*z + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14.17 + -0.17. Let z = t + -14.12. Let j = z + 0.12. What is the third smallest value in 2, -1, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*d**4 - d**3 - 3*d**4 + 0*d**3)*(-d + 4*d - 2*d).\nAnswer: 3*d**5 - d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000610849 to five decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 3256171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -6*x**2 - 5*x - 5. Let t be w(-1). Let j(r) = -2*r**2 - 10*r + 22. Is 2 a factor of j(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 727\/13 + -56. Let h = -4 - -9. Let f = h + -4. Is f bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -12*k + 4*k + k**3 - 4 + 10*k - 2*k**2 + k**2. Suppose 0 = -0*x - 3*x. Let f be n(x). Sort -3, 0, f, -2 in decreasing order.\nAnswer: 0, -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/((0 - -1)\/((-1197)\/(-38))). Let l = r + -58. Solve -l*z + 5*m + 10 = 0, 2*m = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/11 (b) 644 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 677 by -16179.\nAnswer: -677\/16179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 0*q - 7*q = 0. Let f = 4 + -4.3. Sort f, -0.4, q, -4 in decreasing order.\nAnswer: q, f, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 5*r - 414. Let f be (4\/(-12))\/(1\/(-33)). List the prime factors of f + -13 + r\/(-2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 24*q**2 + 4*q + 4. Determine n(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -5*m**4 + 55*m**3 - 65*m**2 - 215*m + 205. Let b(f) = f**4 - 14*f**3 + 16*f**2 + 54*f - 51. Let u(q) = -25*b(q) - 6*z(q). Factor u(v).\nAnswer: 5*(v - 1)**2*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8603 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -111101022201 + 1212221?\nAnswer: -111022102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.35 + -1. Let z = q + 26.65. Let f = z + -26.00086. What is f rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = f**3 + 7*f**2 - 6. Let y be z(-7). Suppose -9*n = 2*n - 22. Let u(j) = 6 + 6*j - 7*j - 1 - n*j. Give u(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 4*x. Suppose -11 + 2 = -4*f - n, x = -3*f - 3*n. Suppose 2 + 1 = f*t. Is -2\/5 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + z = -139, -2*r = -0*r - 3*z - 81. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 137 - 133. Suppose u + d*a + 10 = -16, -4*u - 2*a = 48. Is -5 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, p: 2, v: 2, x: 7}. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 726878 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -4*h + 94. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 1.4. Let r = p + -0.3. Let s = 1 + -0.7. Which is the second smallest value? (a) s (b) -3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 25 = 88. Let c = d - -48. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.9 and -91.\nAnswer: 81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 - -21. Calculate the remainder when 20 is divided by (-1)\/4 + 87\/q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13818 and 100874361?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 6 = -82. What is the remainder when 37 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64*j = 8312 - 760. Let p = 362 - j. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, x: 11, l: 3}. What is prob of sequence lll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1.66255*0.3\nAnswer: 0.498765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {i: 8, s: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 3:10 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 0 + (sqrt(6)\/sqrt(3))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4865 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.6 - -1. Let w = -9.93 + 10. Let x = w - 0.57. What is the closest to 0.2 in x, r, -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -902 divided by -4?\nAnswer: 451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4219 + 25313\/6. What is the closest to 2 in a, 17\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 PM and 4:53 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 132 - -3?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 5, 3, -237 in decreasing order.\nAnswer: 5, 3, 2, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-5) + 270\/200.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/21)\/((-2)\/42*1278\/(-142))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cvkikkiqicqqvc. What is prob of picking 1 i and 1 c?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v + 23. Let o be p(18). Sort o, -4, -15 in decreasing order.\nAnswer: o, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + h + 34 = 0, 3*k + 0*h + 5*h = 46. Let x = 368 - 349. Suppose -x*g + 25*g = 0. Solve -4*y - k = -g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.8 + -2.9. Which is the nearest to 0? (a) f (b) -5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/7, 1932, 3230, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -4*j**2 - 1448*j + 3. Let d(t) = 10*t**2 + 3619*t - 8. Give 5*d(w) + 13*p(w).\nAnswer: -2*w**2 - 729*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1247\/(-261)*9 - ((-5)\/(-10)*8 - 4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 275937914?\nAnswer: 2, 7, 17, 89, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 11968262 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.1*-682\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -15*c**2 + 33*c**2 - 20*c**2. Let l(t) = 9*t. Give l(h(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**3 + 3*r - 3*r)*(3*r**2 + r**2 - 6*r**2) + 4*r**2 - 67*r**5 - 14*r**2 + 11*r**2.\nAnswer: -69*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 2*r + 9 = 0. Let k = -401 + 2405\/6. Which is the closest to 0? (a) -30 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r - 9. Let b(y) = -y + 38. Let g(n) = b(n) + 4*m(n). Let l(j) = 3*j + 2. Give -2*g(q) + 3*l(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-5)*((-233)\/2 + (-13 - -7))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10 - -8. Let j = v + 12. Solve -18 = -2*r - 4*z, -3*r + 8 = 3*z - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1110340 (base 5) to base 2\nAnswer: 100110000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*t, 22940 = 81*q - 80*q - 4*t. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1455913, -1455877, -1455819, -1455733, -1455613?\nAnswer: -1455453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 746 + -728. Suppose 0 = -n*c - 241 + 295. Factor -3\/4 - 1\/4*y**c - 5\/4*y**2 - 7\/4*y.\nAnswer: -(y + 1)**2*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 39*z - 23*z + 128. Let v(w) = -16*w - 8. What is the tens digit of v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 20 = 4*h. Suppose h*q = -2*o + 38, -3*o + 70 - 2 = 2*q. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of -r**6\/360 + r**5\/60 + r**4\/8 + 3*r**2. Let d(c) be the second derivative of m(c). Determine d(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -6. Suppose x = -3*x + 5*y + 16, 2*x = -5*y + 38. Let n be ((-6)\/x)\/(1 + 23\/(-15)). Which is the second biggest value? (a) n (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from etthtttzhte. Give prob of sequence tze.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -58 - -60. Suppose 10 = u*v - 2*x, -2*v + 4*v + x = 10. Suppose -v*l + 6528673 = 20128673. Round l to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (216\/(-240))\/(4\/8*3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -112*r**5 + r**3 - r - 799.\nAnswer: -2240*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13863782*g**3*l**3 - 63*g**3*l - 6*g**3 + 48*g**2*l - 7*g*l wrt l.\nAnswer: -83182692*g**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.9 in -389, 4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1332 + -1277. Calculate the remainder when g is divided by (-3)\/(-2) + (-1007)\/(-38).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -81 and 13?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -a**2 - 7598*a - 616312 = 0.\nAnswer: -7516, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-65)\/30 + 1\/6. Is 363*((-8)\/12)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*w + 4*w + w + (1 - 2 - 1)*(-2*w + w + 4*w))*(-12 + 2 - 1).\nAnswer: 242*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(4\/11)*c*c*c**3*c*c*c*c*c*c)**(1\/26))**(8\/7) assuming c is positive.\nAnswer: c**(500\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/4*168\/147.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 1050070.654 - -33.\nAnswer: 1050103.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Are -3\/2405176 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-9)\/(-6)*(-4)\/(-6) + 34. Suppose s = 10 + f. Suppose -307*l**5 + 143*l**3 - 35*l**3 + s*l**4 - 9*l**4 + 310*l**5 = 0. What is l?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 0 = 3*u + 1, 0 = -2*u - 2*q + 2. Let i = 2 - 1. Is i greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*y + 65*y - 375 = 0. Suppose 12 = -k - 3*k. Calculate the common denominator of -3\/20 and k\/2 - (-140)\/y*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 - 16 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17979 + 719197\/40. Find the common denominator of h and -43\/250.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 43.11, 253, -1\/4, -0.2, -3, 5 in descending order.\nAnswer: 253, 43.11, 5, -0.2, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44267 = 7*a - 116180. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1143 is divided by 287?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 125\/37422 and 107\/7854.\nAnswer: 636174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 93208 and 8296?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 20, -22, -100, -220, -388, -610, -892?\n\"Answer: -h**3 - 12*h**2 + h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1)\/(-12) - (-143)\/156)\/(5\/25). Sort i, 10141, 0.\nAnswer: 0, i, 10141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -37.21608 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 47.5 - -468.9. Round y to the nearest 10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 360 - 137. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2610*h**2 + 20234 - 20234.\nAnswer: -2610*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -13*z + 4. Let f be q(-7). Suppose -385 = -5*l + f. Suppose -m = -5*y - 0 - 37, m = -y + 7. Calculate the highest common factor of l and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 75511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 4005096.59 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffqffqqqqfiqiq. What is prob of sequence iiq?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -79, -65, -51, -37?\n\"Answer: 14*b - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1243728.\nAnswer: 2, 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 4873 + 3.\nAnswer: 4876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 94 + -95. Let s = 159.982 + -160. Sort -0.4, s, w.\nAnswer: w, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 77, 80, 83, 86, 89?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 13*k**2 + 10*k**2 + 7 + 4*k**2 - 11. Let n(x) = -x**2 + 2. Let i(g) = -2*n(g) - o(g). Let j(a) = 2*a. Determine j(i(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 553449 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 - -5. What is the smallest common multiple of 6 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + (6 - -1) + 115 + -120 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 3696029 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7697056*o**2 - 15394107*o**2 + 7697051*o**2 - 1384*o**3.\nAnswer: -1384*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*q - 2*t + 203, 4*q + 60 = 35*t - 33*t for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32 = 4*q - 0*q. Let m be 8*(8 + -3 - (4 - -2)). Is q smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/(-1))\/(1*-1). Let w(t) = 8*t**2 - t. Let j be w(i). Let h = 5 + 15. Calculate the greatest common divisor of j and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*15\/10)\/((-15)\/(-40))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h - 50*n + 53*n + 9, -2*h - 5*n + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -23 - -19 - (0 - -2 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/((v**1*v)\/v))\/v*v)**(-34)\/(v**(1\/4))**(-19)*((v*v\/(v*(v\/(v**(-2\/3)*v*v))\/v)*v)**(-1))**(-36) assuming v is positive.\nAnswer: v**(499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*v + 15*v - 37*v + 2*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -5461, -5462, -5463, -5464, -5465, -5466?\n\"Answer: -i - 5460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36898 is divided by 3430.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -3*y**2\/2 + 1645*y\/2 + 549 = 0. What is y?\nAnswer: -2\/3, 549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ibhxd. What is prob of sequence hi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be (36\/8 - 2)*(-164)\/(-5). Suppose 23*m + 33 = -d. Sort m, 36, 4 in decreasing order.\nAnswer: 36, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -1206*o. Let f(y) = 20110*y + 1. Give f(c(a)).\nAnswer: -24252660*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 47*t - 66. Let i be q(-7). Let l = -354 - i. Suppose 2*r = -r + 33. What is the remainder when l is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8659585.8 + -8661484.7994806. Let y = x - -1899. Round y to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1083 - 570. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -25 - -29. Solve n*r = r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6508813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.0513 times -11577\nAnswer: 593.9001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 2.27 and -5.\nAnswer: -11.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j = -5 + 29. Is (j\/2)\/(834\/276 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 7) + (-2 - (43 + -45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 392380297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 138\/(-184) - (-1249390)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2aa48 (base 15) to base 16.\nAnswer: 21866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 18.56109kg in tonnes?\nAnswer: 0.01856109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 PM and 9:05 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -923737, -923738, -923739, -923740?\n\"Answer: -b - 923736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z + 3*n + 5 = -20, 3*z + 18 = -2*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 1 (c) 400 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 4*f**5 - 4*f**4 + 8*f**3 + f**2 - 12*f + 6. Let g(c) = 5*c**5 - 3*c**4 + 6*c**3 + 2*c**2 - 11*c + 5. Let j(s) = -3*g(s) + 4*p(s). Factor j(u).\nAnswer: (u - 3)**2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/(-20))\/((-40)\/(-1040)) - (-4 - -1). What is the second smallest value in 3\/7, -0.3, u, -7, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8bc3 (base 14) to base 5\nAnswer: -1234104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 17430 + 36599?\nAnswer: 54029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4 + (-2 - 5 - -4). Solve 19 + z = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) -97291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16967262 and 10478.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4328 or -15.87?\nAnswer: -15.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 66 - 7 + 50 + z**3. Let d be a(0). Let h = d - 20. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ueeq when four letters picked without replacement from {q: 2, e: 3, o: 1, u: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/38 and 17\/20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.6 and -214.\nAnswer: 128.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2*q = -5*g + 6, 4*g = -q + 3. Suppose u + 4*u - 3*c + 5 = g, -5*c + 21 = -2*u. What is the remainder when 4 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + 4*t + 4. Let u be o(-2). Suppose -2*g = -7*s + 2*s + 15, -s + u*g + 3 = 0. Suppose -3*r = -3*z - 1127 - 2320, -s*z - 2296 = -2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - 3) + -1 - (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together 1.6 and 3440.943.\nAnswer: 3442.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -106\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of -4*w**7\/245 - w**6\/420 + 3*w**5\/70 - w**4\/42 - 2*w**2 + 2. Let k(s) be the second derivative of z(s). Solve k(x) = 0 for x.\nAnswer: -1, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2 - 228*q + 4332.\nAnswer: 3*(q - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.8? (a) 0.4 (b) 5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -92? (a) 1\/5 (b) -0.1 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -11 (b) -4 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(104) - -1*(sqrt(104) + sqrt(104)*-1))\/sqrt(8).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2987.2 - -3019.2. What is the third smallest value in -2\/9, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2403152 or 2403149?\nAnswer: 2403149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 3) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -259*p**2 + 15*p. Let h(y) = 2*y**2 + 3*y. Calculate -5*h(v) + k(v).\nAnswer: -269*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*o - 25, -5*o = -5*x - 6*o + 25. Let q = 51 + -47. Solve -x*a + q = -8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = l - 11. Solve -4*k + 16 = 0, 0*t - l = -2*t - 4*k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 357989959 rounded to the nearest 1000000?\nAnswer: 358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 9302.337l in millilitres?\nAnswer: 9302337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12 - 7. Suppose 6*t - t + 3*r - 12 = 0, -11 = -4*t - r. Suppose s + 2*s = 0. Solve s = t*b + 2*b + 5*a, 5*b = k*a - 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-30)\/n)\/n)**(5\/7)\/((n\/(n\/(n*(((n\/((n*n*n**(-7))\/n))\/n*n)\/n)\/n*n)*n))\/(n**(3\/19)\/n)) assuming n is positive.\nAnswer: n**(-3950\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -5 (b) 0.1 (c) 1025580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 9 - (5 + 13 + -6 + -5) - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30430 and 1360.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -74, 2, 3.\nAnswer: -74, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 24*c**2 - 22*c + 28. Suppose -35*m + 9*m - 598 = 0. Let z be y(m). Solve -z*q = -8 - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 26 in -0.3, -52, 2, -3, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1\/3, 3\/7, 0.016, 0.4, 0 in increasing order.\nAnswer: -2, 0, 0.016, 1\/3, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -305, -303, -301?\n\"Answer: 2*j - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*g + 199112 = 124416 - 541348. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 2*o + 19 = 0, 4*p + 4*o + 5 + 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1769 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -488113 + -1586077.\nAnswer: -2074190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 PM and 3:00 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lgglggkkglgggggggkg. Give prob of picking 3 g.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -29, 1, -4, 4 in decreasing order.\nAnswer: 4, 1, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 12673571303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/48)\/((-27)\/8910)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36191863?\nAnswer: 1279, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 2:22 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*s - 7 = 28*a - 27*a - s, -4*s + 98 = -18*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 64 + -64. Let f = 7 + t. Let p = 32 - 37. Put f, p, -1\/7, -4 in decreasing order.\nAnswer: f, -1\/7, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -17726760 smaller than -88633793\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3\/4 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 1\/9, 16, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 1\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0216 - -0.7216. What is the third biggest value in -0.1, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.139 and 0.902.\nAnswer: -0.125378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 72 a factor of 31536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/4*6\/(-2)*(-20)\/(-60)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 43001548531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 90\/(-18)*(-6 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -7 + 63\/(14 + -7). Solve z = 2*i + 6 - 0, -4*z = -n*i - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**2*f)\/f**(-8))**(-33)*(f\/f**(1\/7)*f*f\/(f\/(f\/(f\/(f\/(f\/(f\/((f**(1\/7)\/f)\/f))*f*f)))))*f)\/(f**6*f*f**(-3)) assuming f is positive.\nAnswer: f**(-1850\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/4)\/((-16)\/1024). Suppose 0 = -6*a + 10*a - v. Let h(m) = 7*m**2 + m + 11. Is h(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101020221 + -10?\nAnswer: -101021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**2 - 945*w + 2790.\nAnswer: 5*(w - 186)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 24 - 3 - (9 - 11)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 411?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 43 (base 5) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 13*f - 47. Suppose 4*u - 546 = -b, 0 = -f*u + 2*u - 4*b + 540. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 5*l = -n + 1532, -3*l - 506 = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 25*c**2. Let o(f) be the first derivative of 9*f**2\/2 - 10*f + 82. Let l(z) = 11*z - 12. Let y(w) = 5*l(w) - 6*o(w). What is y(d(r))?\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15019866.\nAnswer: 2, 3, 59, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4387140 is divided by 113?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18010 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 31180170085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -j - 11. Let o = 13 + j. What is the smallest common multiple of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = -3*u + 15. What is the second derivative of -5*t**3 + 7*t - u*t**4 + 5*t**3 wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2\/22)\/(10\/(-10)). Put 0.4, 4, v in decreasing order.\nAnswer: 4, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -128*t + 15*t**2 + 128*t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 4*u - 42, 0 = 4*l - 36*u + 39*u - 73. What is the remainder when 776 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 1, n: 16, w: 3}. Give prob of picking 2 w, 1 s, and 1 n.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 PM and 8:04 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) 13 (c) -1 (d) -0.21 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) be the third derivative of -w**5\/15 - 167*w**4 - 167334*w**3 + 264*w**2. Solve g(t) = 0 for t.\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes before 4:12 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 8.53939 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*l + l - 78 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 5, p: 6, c: 2, q: 1, v: 2}. Give prob of picking 1 v, 2 p, and 1 z.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 3*q - 23, -12 = q - 2*b - 3. Let v be (q + -3)*15\/(-6). Find the third derivative of -o**4 - 3*o**2 + o**4 + o**v wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -205*x**2 + 2*x - 14?\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29\/189 + 1667\/10773. Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j - 4*w = 172, -836*j + 831*j + 8*w + 120 = 0 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 6*i + 113. Determine l(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*j**2*o**3 + 3522*j**2*o**2 - 2616*j**2*o + 853*j*o**3 + 42*j*o**2 - 2*o**2 + 1 wrt j?\nAnswer: -4*o**3 + 7044*o**2 - 5232*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2682 divided by -6?\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + 53*p + 2*p + (-4 + 3 + 0)*(-5*p + 4*p + 0*p))*(2*p**2 + 5 - 5) + 2*p**3 + 2*p - 2*p.\nAnswer: 112*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -26132771\nAnswer: -10453108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -25.28789?\nAnswer: -25.28789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-5)*l**(6\/5)*(l\/(l\/l**(-1\/2)))**(-10\/19) assuming l is positive.\nAnswer: l**(-336\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.02 - 3.02. Let o = 7 + w. Let l = -20 - -17. Put l, o, -2\/13 in ascending order.\nAnswer: l, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 54, -22, -2 in descending order.\nAnswer: 54, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -39560 - 143491 + 16923 = 3494*u + 8572 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 480855887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 115 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11650.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:41 PM and 5:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is o in 5*o**5 - 3815*o**4 + 421775*o**3 - 13075265*o**2 + 24900440*o - 12243140 = 0?\nAnswer: 1, 62, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 34 (base 14) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 11\/8 of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -105343\/12 - -8784. What is the common denominator of c and -169\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128346 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 77813, 77814, 77815, 77816, 77817, 77818?\n\"Answer: x + 77812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0016745 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9608119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 - b**2 - 3*b - 3. Let z be n(-1). Solve -2*p - l = 10, 2*p - 2*l - 2 = -z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0007870018 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -d + 20. Let f be s(16). Suppose 0 = 5*n - 5*z - 485, -3*z - 95 = -n - f*z. Suppose -4*j + n = -j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 11*k - 6. Let x be d(3). Let c = 505 + x. List the prime factors of c.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -119*b**2 + 2 + 2*b + 119*b**2 + 5*b**3 to the form u*b + l*b**3 + p*b**2 + v and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -433714 + 0.0003\nAnswer: -433713.9997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -113 + 94. Does 2 divide (-18)\/24*(s - 1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from {r: 1, x: 1, c: 6, l: 3, m: 1, w: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*c**5\/3 - 73856*c**4\/3 - 8583316*c**3\/3 + 1084672*c**2\/3 + 8583248*c\/3 - 1010816\/3 = 0.\nAnswer: -106, -1, 2\/17, 1, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 27 - 25. Let o be 3\/84 + h\/8. What is the nearest to o in 5, -1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a decade in years?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -25b + -41da?\nAnswer: -4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 50682.43 centuries?\nAnswer: 506824.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.06668 (b) 1\/9 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a + 53. Let f be d(-26). List the prime factors of f\/(6\/(-474)*-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -41\/3 - -454\/33. Let q = -0.077 - -0.547. Let v = q - -0.03. Which is the second biggest value? (a) -1 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17832 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the third derivative of 119*t**5\/60 - t**4\/12 - 2*t**2. Let h(n) be the first derivative of n**2 + 2657. Give h(z(c)).\nAnswer: 238*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 - 10 = 4*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1934.02122 rounded to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 64.871842993 - -0.127886007. Let x = -66.54 - -1.54. Let t = x + d. What is t rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 12, e: 7}. What is prob of picking 1 e and 3 m?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i - 4. Let a be x(7). Suppose 4*k = 4*j + j + 42, a*k - 3 = -j. Let t be 11 - 3*(-4)\/j. Solve 0 = 6*p - 3*p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 914284734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 25737 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3751796 - 1725828077\/460. Let y = -1\/1380 - k. What is the common denominator of y and (-160)\/(-9)*(-12)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*a**4 + 3249*a**3 - 871416*a**2 - 4517376*a + 21307392 = 0. What is a?\nAnswer: -8, 3, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*p - 38 = -82. Solve -p*r = -2*r - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand s + 2*s**2 - s + (-s**2 + 0 + 0)*(3 - 6 + 1) + (8*s**2 - 58*s**2 - 24*s**2)*(1 - 4 + 1).\nAnswer: 152*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -3*l + 4*l - 13, 5*v = 5*l + 15. Let c be ((-1)\/(-1) - -2)\/1. Solve c*b = -7 + l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 5919, 11838, 17757?\n\"Answer: 5919*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/87075 and 7\/290250.\nAnswer: 870750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -1865 equal to -339615\/182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2. Let i(b) = -139700 + 13*b + 139700. Calculate t(i(m)).\nAnswer: 169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 - -151012?\nAnswer: 151020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.38, -1\/6, 0.1, -1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2874 = -21*a + 2271. Suppose -a = 6*r - 305. What is the remainder when 669 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 262*v - 257 + 119 = 386. Solve 4*d - 148*n + 150*n = -38, -24 = 2*d + v*n for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89796319?\nAnswer: 751, 119569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -10*d**4\/3 + 56*d**3\/3 - 2*d**2\/3 - 140*d\/3 = 0. Calculate d.\nAnswer: -7\/5, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 218617 and 7686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1659595044 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from -625.\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -m + 3, 3*g + 14 = 4*m + 2. Let p(i) = -2*i + 3. Let x be p(m). Let b = x + 5. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z - 2858 + 1838 = 0. Which is smaller: -173 or z?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 306880 - -29?\nAnswer: 3068a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 8565560 by -1087.\nAnswer: -7880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 50 - 16. Suppose w - 22 = -2*y - 0*y, 5*w + y - 65 = 0. Calculate the remainder when v is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/738 and 53\/419213274.\nAnswer: 1257639822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4 + 3 + ((-80)\/32 - (-1 + -3)). Let l = 100\/7 + -29\/2. Which is the nearest to f? (a) -0.2 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z + 4. Let f(h) = h - 6. Let l(r) = 3*r - 9. Let p(d) = -3*f(d) + 2*l(d). What is p(b(i))?\nAnswer: 6*i + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*m**5 + m**5 + 2*m**5)*((0 - 5 + 4)*(-3 + 5 - 1) + 1696 + 4059 + 2908).\nAnswer: -17324*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-2*sqrt(104))\/(-1*sqrt(392)).\nAnswer: -12*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 - (-35 + 49) - (-12 + 2) - -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d - 1. Let b be l(4). Let w = 334 + -340. What is the closest to w in b, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 3*q - 10, h - 4 - 6 = -2*q. Let c be (14\/(-21))\/(h\/(-24)). Solve 0 = 5*p - c - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1*3.17\nAnswer: -3.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 232 + 104 = 42*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m**(1\/3))**(-2\/87)*(m*(m*m\/m**1)\/m)\/((m\/m**(-1\/2))\/m))**31 assuming m is positive.\nAnswer: m**(7223\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 4*t. Let x(c) be the third derivative of -39*c**4\/2 - 2357*c**2. Calculate x(k(i)).\nAnswer: -1872*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -59, -6926, 1 in decreasing order.\nAnswer: 1, -59, -6926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -v + 2*a + 5, 5*a - 50 = -5*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 1 - (0 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 573 + 5?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1216) - (3*sqrt(1216) + sqrt(1216)) - sqrt(1216))**2 - (sqrt(475) + sqrt(19) + -1).\nAnswer: -6*sqrt(19) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -20, -29, -24, -5, 28, 75, 136?\n\"Answer: 7*g**2 - 30*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 17 + -7. Suppose 6 = 4*a - j. Suppose 0 = -h + a*c + 19, -3*h - 2*h = -c - 19. Solve h*k + 2 = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -34\/5657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 4*s + 3*u + 24, 0 = -2*s + u - 12. Is 5 a factor of 8\/2*(-15)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence euan when four letters picked without replacement from {u: 2, n: 1, t: 1, f: 2, a: 1, e: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 1059 by 10895.\nAnswer: 1059\/10895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - -3 - (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 3921*i + 921412. What is s(-235)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*z + 2036*z**4 + 2039*z**4 - 4076*z**4 - 2*z**2 + 4 + 46*z**3 to i*z + y + h*z**2 + a*z**3 + g*z**4 and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 139, 273, 407?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -245548024 + -63.\nAnswer: -245548087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = 12, o + 12 = -5*p - 3. Let j(a) = a + o*a - 2*a**2 - a. Let r(l) = -19*l + 13. Let m(n) = 9*n - 6. Let b(v) = 13*m(v) + 6*r(v). Give b(j(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.961395 centuries in years?\nAnswer: 96.1395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -199.6 minus -219837.8?\nAnswer: 219638.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7704*u + 1201*u + 5830*u.\nAnswer: -673*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30.7 + -28. Let d = -102 - -104.7. Let h = i - d. Which is the third smallest value? (a) -2 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 2154 - 9102 = 0. Let o be j\/(-60) - (-8)\/10. Let a = o + 93. Round a to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1304051 = 3*i - 1151632. Let f = 538561 - i. Round f to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 3*d - 20 = 0, -3*i - 51 + 12 = -2*d. Put i, -4, 5 in ascending order.\nAnswer: i, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -20*j - 144. Let d be y(-8). Let u = 33 + 95. What is the greatest common factor of u and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -23*r**3 - 6*r**2 + 3*r. Let j = 32 - 37. Let o(a) = 22*a**3 + 5*a**2 - 2*a. Let h(q) = j*m(q) - 6*o(q). What is the second derivative of h(b) wrt b?\nAnswer: -102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 202, 1569, 5284, 12523, 24462, 42277, 67144, 100239?\n\"Answer: 196*v**3 - 2*v**2 + v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1743954.\nAnswer: 2, 3, 290659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of s**5\/180 + s**4\/6 + s**2 + 7. Factor i(k).\nAnswer: k*(k + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*r**3\/9 + 1782*r**2 - 10714720*r\/3 - 32160200\/9 = 0. What is r?\nAnswer: -1, 4010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -99 - -58. Let k = -23 - h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**2\/8 + 94231*q\/8 + 659715\/4.\nAnswer: -(q - 94245)*(q + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be 12 - 16 - 10769438\/132. Let g = r - -81589. What is the common denominator of 1\/7 and g?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k**(2\/15))\/(k**(5\/8)\/k)*(k**(1\/19)\/k)**(-44) assuming k is positive.\nAnswer: k**(98479\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 90.9998285 + -91. What is y rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.2, 2\/13, -1850, 0.5 in descending order.\nAnswer: 0.5, 0.2, 2\/13, 0, -1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.384 + -9.244. What is d rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, 214.82, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4974 - -4974. Let h(v) be the first derivative of 0*v**2 - 20*v + 0*v**4 + 15 - 8\/5*v**5 + q*v**3. What is the derivative of h(z) wrt z?\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.10162 + -0.00162. Let s = 7966\/15 - 1568\/3. Let x = s - 8. What is the nearest to -2\/7 in x, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -10*k - 18*k + 35 + 37*k - 13*k - 24 - 9. Suppose -y + 3*y + 2 = 0. Let x = y + 3. Determine o(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 11011?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61 = 38*d - 243. Solve -5*g + 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 189 is divided by 2*-2 + (-1)\/((-3)\/129)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the second derivative of -r**4\/6 - 3*r**2 - 1467*r. Let b(z) = -z**2 + 1. Determine -5*b(n) + v(n).\nAnswer: 3*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 16*t + 3. Let x be u(6). Let b be ((-16)\/20)\/((-6)\/75). Suppose 17 + b = 3*f. What is the greatest common factor of x and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -91*x**3\/2 + 2563*x**2\/6 - 481*x\/3 + 12 = 0?\nAnswer: 4\/39, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*p**3 + 62*p**2 - 37*p**2 - 25*p**2.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1140 + -1139.8698. Round q to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 31 + -9. Solve 0 = -3*i + 4*x + 14, -4*i - f = -3*i + 4*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -578*l = -573*l - 20. Let z = -191 - -272. Suppose -l*j + 7*j = z. Calculate the remainder when 53 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -407, -894, -1423, -2000, -2631, -3322?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.7 (b) 0.02 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -33 + 33.29. Let v = 0.04328 + 0.246576. Let p = v - c. Round p to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 2*f - f - 6)*((2*f - f + 9*f)*(-f**2 + 0*f**2 - 3*f**2) - 6*f**3 + 5*f**3 - 2*f**3 - 20*f**3 + 9*f**3 + 9*f**3).\nAnswer: 45*f**4 + 270*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2011 (base 3) in base 5?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-367 + 365 - 7*c + 3*c)*(-3*c - 3*c - 2*c + (2*c + 1 - 1)*(-6 - 4 + 3) - 2*c + c + 3*c) to j*c + d*c**2 + f and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -18 (b) 1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*v = -86*v + 16, -3*n + n = 4*v + 32 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-19569)\/99 - -19)\/(2\/(-66)). What is the greatest common divisor of 264 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 - (-21 - -15) - (5 + -37 + -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 46 = 166. Solve -4*m + u = 5*u + r, -4*m + 4 = -3*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29 + -20 + (-4 + 2 - 15 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (277686\/15)\/((-3)\/(-10)). Let y be h\/130*5\/(-9). Let a = -3330\/13 - y. Find the common denominator of a and 11\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + -20)*(-21 + (3040\/20)\/8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in eighteen fifths of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 839918.5 millilitres to litres.\nAnswer: 839.9185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 95.0000086 - 95. Round n to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9042 - 9040. Let j(f) be the second derivative of 0 - 5\/3*f**4 + 7*f + 0*f**3 + 13*f**l. Differentiate j(i) wrt i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -251, -242, -223, -188, -131?\n\"Answer: y**3 - y**2 + 5*y - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46064476 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 40 divided by 63?\nAnswer: 40\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 15*c**3*i**3 - 13*c**3 + 6*c**2 + c*i**3 + i**2 wrt i.\nAnswer: 45*c**3*i**2 + 3*c*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 91*t - 1 + 76*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -38*p**4 - 112*p**3 - 104*p**2 + 6*p. Let i(x) = x**4 + x**2 - x. Let k(o) = -12*i(o) - 2*u(o). Suppose k(w) = 0. What is w?\nAnswer: -7\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1446751981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -172, 0.5, 87, 1\/16?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n + 17. Let k(i) = 15*i + 6. Let z be k(3). Suppose 90 = 5*s + 5*c, 4*s = 2*c + z - 3. Let l be h(s). Which is smaller: l or 30\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**3 + 6*r**2 + 5*r - 2. Let x = 78 - 73. What is the tens digit of y(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-694\nAnswer: 62.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 4, j: 1, t: 2, s: 1, v: 1}. Give prob of sequence vyyt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -2*w**2. Let f(y) = -377228*y. What is f(a(d))?\nAnswer: 754456*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*n - 3790 + 3814 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 45\/4072 and 50\/4581?\nAnswer: 36648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a + 2. Let h be n(0). Let f(l) = l**3 - 4*l**2 - 11*l - 3. Let b be f(6). Solve h*w = b - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001110 (base 2) to base 5.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (7 - 20 + 6)*(-2*g + 4*g - g)*(-2*g + 3*g + 3*g)*(-54*g**2 - 83*g**2 + 37*g**2) as j*g**4 + t + w*g**2 + m*g**3 + o*g and give j.\nAnswer: 2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13.2 - -2.8. Let u = z + -5. Let h = u + -15.1. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20922000 and 3300?\nAnswer: 20922000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4500828 divided by 1116?\nAnswer: 4033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 - 4*b**2 + b**2)*(20 + 11 - 20)*(-3 + 4 + 0).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*w**4 - 3244*w**3 - 5*w**2 + 790*w wrt w?\nAnswer: 48*w - 19464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -4*h + 12. Let o = 9 + -19. Let a be r(o). Suppose 3*s + a = 4*l, 5*l + 4*s + 72 = 168. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19220.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of m**4\/132 + 4*m**3\/33 + 7*m**2\/22 - 71*m. Let q(h) = 0. Calculate h.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 398*z + 8 = 399*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 262b5 (base 13) in base 12?\nAnswer: 34b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-0.2.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3653 + -7510567\/2056. Let i = -57563\/10280 - v. Let z = -1859\/24 - -235\/3. What is the common denominator of z and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -24 + 67. Let n = x - 23. Suppose 0 = 4*u - 2*o - 36, 0 = -4*o - 4 + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-20)\/(-30))\/(2\/6). Let a(z) = -18 + 10 + z - 4*z - 13. Let c be a(-8). Solve -q*l - 18 = 4*n, c*n = -4*l + 7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*1 - 2\/(-1). Suppose 0 = -m + 11 + 25. Calculate the greatest common factor of j and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (c + 3*c - 5*c)*(-4*c**2 + c**2 + 2*c**2) + 14*c**3 - 319*c + 165*c + 166*c to q + a*c**3 + k*c + t*c**2 and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1102889, -1102824, -1102715, -1102562, -1102365, -1102124, -1101839?\n\"Answer: 22*m**2 - m - 1102910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*a - 252292753 + 252292714 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g - 1. Let s be p(3). What is the second derivative of -2*f + 3*f**5 + s*f + 4*f + 0*f wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 374 and 204.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 2, -27 in ascending order.\nAnswer: -27, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 67\/12864*-64*330\/4?\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184*q + 4767 = -19*q + 312. Solve k + 20 - q = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 p, and 1 o when three letters picked without replacement from {f: 1, o: 1, p: 1, d: 4, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 3 - 6*c**2 + 11*c - 13*c + 3*c to the form h*c**2 + o + p*c and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -15*m**2 + 22*m - 28. Let z(k) = -12*k**2 + 21*k - 27. Let r(l) = 3*o(l) - 4*z(l). Solve r(t) = 0 for t.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 149825617 to the nearest integer?\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from ybbwwywbyybwww?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(4\/2))\/(513\/(-342)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (p**2 + 0*p**2 + 2*p**2)*(-56 + 56 - 22*p) in the form n*p + v*p**2 + c + t*p**3 and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the second derivative of w**4\/4 + w**3\/2 + w**2 + 719*w. Let y(r) = r**2 + r. Give -b(i) + 6*y(i).\nAnswer: 3*i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -89675 times 0.1?\nAnswer: -8967.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 14*x + 1. Let l be -2 + (2 - (-4)\/(-4) - 58). Let c = l - -87. Calculate the remainder when c is divided by n(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3045810933 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3\/3 + 5*i**2 - 23*i\/3 - 13.\nAnswer: -(i - 13)*(i - 3)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/10 - 2667*a**2\/10 - 3498*a + 37520.\nAnswer: (a - 2680)*(a - 7)*(a + 20)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-3)\/(-1) - 13\/3. Let z be 3\/36 - 2\/(-8). Let o = 5 + -7. Which is the nearest to z? (a) o (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3.1 and 2.91?\nAnswer: -9.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.98 + 1.088. What is y rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -0.4, 2\/23, -2 in increasing order.\nAnswer: -2, -0.4, 2\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5404, 5441, 5516, 5629, 5780, 5969, 6196?\n\"Answer: 19*f**2 - 20*f + 5405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -0.1. Let f = -73 - -989. Let t = -916 + f. What is the closest to s in t, -1, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*f*g**3*s - 9*f*g**2*s - 2*f*g*s + 944*f*s - 4*g**3*s - g*s wrt g.\nAnswer: 12*f*g*s - 18*f*s - 24*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 56\/3 + -19. Let o = -2 + 7. Let y = o + -4. What is the nearest to y in b, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 147 = 11*z. Suppose -8*m + m = -z. Suppose -m*b - 3 - 2 = g, 3 = -5*b - 3*g. What is the nearest to b in 0.5, -1, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s**2 - 13 + 3*s**4 + 21 - 9 - s + 2*s**3 to the form c*s**3 + t + q*s + g*s**2 + l*s**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 676074 + -4748792\/7. Let l = o + 2331. Suppose 0 = 8*y + 115 - 19. What is the common denominator of y and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u**4 - 28*u**3 + 94*u**2 + 1428*u + 2601 = 0. Calculate u.\nAnswer: -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 + 5. Let p be (-20)\/18 + ((-100)\/45)\/(-20). Let q = z + p. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10585001 to the power of 1\/2, to the nearest integer?\nAnswer: 3253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 38 + -12 + (-19 - -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o + 9. Let h be q(4). Suppose 0 = -h*t - 15, -z + 2*z = -3*t + 6. What is the remainder when 89 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, 0.3, 4, 10, -0.27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 246*u**2 - 11*u - 4. Let q(c) = -242*c**2 + 10*c + 3. Let l(s) = 5*b(s) + 6*q(s). What is the second derivative of l(r) wrt r?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + 3*v - 24, -16*s = -15*s + 3*v - 20. Let q(n) be the first derivative of 27*n + 0*n**2 - 14\/3*n**3 + s. Differentiate q(k) wrt k.\nAnswer: -28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 - 2) + -1 + 12. Suppose -y + 39 = 3*f, -2*f - y + 14 = -x. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 22 - 23. Let l(s) = s**4 - 6*s**3 - 2*s**2 - 6*s. Let q(g) = g**3 + g. Let u(i) = w*l(i) - 6*q(i). What is the third derivative of u(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -14183, -55803, -125171, -222287, -347151, -499763, -680123?\n\"Answer: -13874*o**2 + 2*o - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) 7\/74 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14*q**2*s**4 - 424*q**2*s - 8*q*s**4 - 2*q*s**2 wrt s?\nAnswer: -336*q**2*s - 192*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2787 and 33858.\nAnswer: 31454082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than -29\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, g: 2, r: 1, l: 1, v: 1, j: 2}. What is prob of sequence zjzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 435 + -387. Let z(o) = -2*o**2 + 6*o + 3. Let m be z(5). Let h = 23 + m. Calculate the least common multiple of s and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 9) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(65) - (sqrt(65) - (sqrt(65) - (-1*sqrt(65) + sqrt(65))*-5)) - -2*sqrt(65)*4))\/(4*sqrt(80) - sqrt(20)\/(sqrt(4) + sqrt(144))).\nAnswer: 84*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-35)\/((3\/4)\/(((-2205)\/(-280))\/63))?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6*14\/42*-2*92\/48\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z + 13*z**2 - 11*z**2 - 8399 + 8387 - 29*z**3 to the form j*z**3 + b*z**2 + k*z + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - 2. Let d = w + 18. Suppose d*c + 5 = 9. Solve -3*f - 3*j = -j + 4, -c*f - j = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1656 by 46.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n + 1. Let f(g) = -4*g**3 - 4*g**2 - g + 2. Suppose -w = -4*w + p - 7, 14 = 2*w + 4*p. Let j be f(w). Let x(s) = 1 + 2 - 2. Determine j*k(r) - x(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 32.2 + -32.3. Which is the nearest to f? (a) 81 (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -f + 5. Let c be a(0). Solve 0*x - x = c*r - 29, 0 = -4*x + 3*r + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2280 and 4189785.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 34*p - 37*p - 60. Let v = 40 + p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 1\/3, 2\/3, -3\/2, 25, 2, -181?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1092\/63*2*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of -l**4\/26 + l**2\/13 - 7. Factor d(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -111112001 (base 3) to base 14.\nAnswer: -3840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q + 3. Let m be -5 + 0 - 138\/(-69). Determine r(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1149)\/(-2)*(-410)\/(-60)*8 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -s - 1. Suppose 3*g = -2*m + 1, -2*m - 6*g + 2 = -2*g. Let v be u(m). Let d = -3 + 6. Solve d + v = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*h - 20*h**4 - 505*h**3 + 505*h**3 + (4 - 6*h**3 - 4)*(2*h + 0*h + 0*h).\nAnswer: -32*h**4 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the second derivative of s**6\/30 + 568*s**5\/5 - s**4\/3 - 19*s**3\/2 + 3*s**2 + 4561*s. What is the third derivative of z(j) wrt j?\nAnswer: 24*j + 13632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -30*p - 9. Let k be g(-1). Solve -30 - 33 = k*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -629*m. Let p(x) = x**2 + 7*x. Calculate p(b(u)).\nAnswer: 395641*u**2 - 4403*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be 728\/9 - (-25)\/225*1. Sort 2, 4, p, -1 in descending order.\nAnswer: p, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 11*p - 2. Let v = 365\/3 + -721\/6. Let z(o) be the second derivative of v*o**2 + 18*o + 0 - 8\/3*o**3. What is -7*i(d) - 5*z(d)?\nAnswer: 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 131 (b) 18\/11 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53011 is divided by 24453.\nAnswer: 4105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a - 3. Let t be x(-7). Suppose 3*r - t = -r. Let u(s) = -6*s + 0*s - 1 + s. Determine u(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -29 + (738\/820)\/((-5)\/(-50))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-6) + 10\/6. Let o = -1.4 + -1.6. Which is the nearest to y? (a) o (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 77.38808 millilitres in litres?\nAnswer: 0.07738808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 17*z**4 - 7*z**3 - 9*z**2 + 9*z + 9. Let f(g) = 4*g**4 - 2*g**3 - 2*g**2 + 2*g + 2. Let i(x) = -9*f(x) + 2*n(x). Factor i(r).\nAnswer: -2*r**3*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 3*j - 3 = 0, 2*j + 30 = 3*p. Suppose -13*v = -15*v + p. Suppose v*b = 2*b + 44. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249345 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u**3\/9 - 184014*u**2 - 8280592*u\/9 - 3312232\/3 = 0. Calculate u.\nAnswer: -828058, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -4*w - 4*q - 27, 5*w - 4*q + 44 = 0. Let u(c) = c**2 + 9*c. Let k be u(w). Let m(z) = 2*z**2 + 7*z + 10. What is the tens digit of m(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-180)\/(-27))\/(-2))\/((-6)\/(-27)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = u**3 - 2*u**2 + 7*u - 35. Let v be i(5). What is the greatest common divisor of 1200 and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -8705 + -511.67642\nAnswer: -9216.67642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -155 + 155.032. Let o = p + -17.832. Round o to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 2*a. Let b(c) = -14*c**2 - 3*c + 2. What is b(h) + 4*p(h)?\nAnswer: -14*h**2 + 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -223\/756 + 1\/108. Which is the smallest value? (a) -1 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 112 - 116. Which is the second biggest value? (a) l (b) -3\/5 (c) -0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3083 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 240 and 83206464.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 17 - 87644*f**2 + 2*f + f + 22 - 14*f + 87643*f**2. Determine h(-17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -8928.141 - 0.\nAnswer: -8928.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 18977 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 5 + 7. Let o(c) = 7*c + 3. Let j(t) = 20*t + 8. Let v(k) = 6*j(k) - 17*o(k). Let q be v(m). Is 3 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 6 = 2. Let p(v) = 7*v**3 + v**2 + 3*v - 4. Let q(w) = -w**3 - w + 1. Let r(l) = p(l) + 5*q(l). Calculate r(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - -2487379877449?\nAnswer: 2487379877448.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the first derivative of x**3 - 3*x**2\/2 - 3*x + 1. Let d be h(-2). Suppose -2*l + 10 = 0, 5*f + 0*l - 5*l = d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12811139*y**3 - 11*y**2 + 18586*y + 4 wrt y.\nAnswer: 76866834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -11*t + 247. Let v be m(20). Solve 2*q = 3*a - 2*a - 10, -v = -3*a + 5*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 + 0)*-22 + 1. Let o = 198 - 195. Let n be -7*(17037\/a - o). What is n rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 139, 949, 3187, 7567, 14803?\n\"Answer: 119*t**3 - 23*t + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -2*t - 2*t, 3*w - 3*t - 330 = 0. Suppose 64 = 10*p - w. Let c(m) = 41*m**2. Let j(x) = 14*x**2. Calculate p*j(b) - 6*c(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 152*x**2 + 2*x. Let a(f) = 9*f - 10. Let h(k) = -k - 5. Let y(q) = -12*q - 56. Let p(o) = 68*h(o) - 6*y(o). Let z(j) = 2*a(j) - 5*p(j). Give z(i(w)).\nAnswer: -304*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 44\/7, 2, -9, -6 in descending order.\nAnswer: 44\/7, 2, 0.2, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 7 by -1569.\nAnswer: -7\/1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q**3\/5 + 13162*q**2\/5 + 92201*q\/5 - 237042\/5 = 0. Calculate q.\nAnswer: -9, 2, 13169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -42\/11 (b) -1\/2 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of -m**5\/60 + 2*m**3\/3 + 5. Let j(k) be the third derivative of t(k). Let r(c) = c. Determine r(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -186, 0.06, -0.4, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 121 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 53034658 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 third biggest value in -3, -5, -191\/4?\nAnswer: -191\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 23533939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 1\/20238375?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2675 a factor of 61046175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*t - 10276*t**2 - t + 0*t + 25*t.\nAnswer: -10276*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 392677 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(14\/3)\/(z\/((z\/z**(-43))\/z))*(z**(-3\/7)\/z)**(-46\/7))**40 assuming z is positive.\nAnswer: z**(329600\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -108092 (base 10) to base 13\nAnswer: -3a27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 1 = -15. Suppose 0 = -10*k + v*k + 6. Suppose 0 = -3*z + 4*n - 6*n + 53, z - k*n = 23. Is z less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 48, 5, 4\/9, -0.081 in increasing order.\nAnswer: -2, -0.081, 4\/9, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*k, -25 = 3*z - 13*k + 12*k. Let o(b) = -b**3 - b**2 + 1. Let f(m) = -28*m**3 - 7*m**2 + 7. What is z*o(y) + f(y)?\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -48116*q**2 - 57350*q.\nAnswer: -96232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108)\/sqrt(4) - sqrt(27))\/sqrt(9) + (sqrt(99)\/sqrt(3))\/sqrt(11) + (-2*1*sqrt(300))**2.\nAnswer: sqrt(3) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/275 and -119\/217250.\nAnswer: 217250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -28038*c*p**3 - 1065456*c*p - p**3*s - 8*p**3 + 9*p + s wrt p?\nAnswer: -168228*c*p - 6*p*s - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 73207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -3\/3469 (c) -4 (d) -18 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 4. Let l = a - -7. Suppose -3 = -3*v + 2*v. Put v, -5, l in decreasing order.\nAnswer: l, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 454 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24.6 + 21. Let i = 4 + p. Let q = -0.15 + -0.05. Which is the third biggest value? (a) -4 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the second derivative of -3*m**5\/140 + 3*m**4\/28 + m**3\/14 - 9*m**2\/14 + 2*m. Factor j(s).\nAnswer: -3*(s - 3)*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25.02 + -0.02. Which is the nearest to r? (a) 0.1 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 20*c**2 + 22*c - 49. What is t(21)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -405*r**5 + 38*r**2 wrt r?\nAnswer: -24300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-41 - -19 - 44 - -8) + 10?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*p + 56*p + 39*p**2.\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 4729925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2666 (base 11) in base 6?\nAnswer: 24004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14 + 90 + -24)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 125 and 5092325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*r + 195*r = 28*r + 2543520. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 9*y - 13. Let i be o(2). Find the second derivative of 5*l - 23*l**i + 11*l + 59*l**5 wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 - 25*s - 102. Let t be c(-17). Solve t*n = 42*n + 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -69 = -0*l - l - 4*g, 2*g = -4. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes after 8:16 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 13.24 (b) 0.4 (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of 127*f**6\/5 - 147*f**3 - 2*f**2 + 34*f - 8. What is the first derivative of w(c) wrt c?\nAnswer: 9144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.0519 rounded to two decimal places?\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -131*y**2 - 13*y. Let k(l) = -2*l. Give g(k(w)).\nAnswer: -524*w**2 + 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b + 5*b = 15. Suppose -z + 26 = b*f, 5*z - 86 + 26 = -5*f. Let g be 4\/8*-6 + f. Solve -2*h = 3*h - g*d - 13, 0 = -5*d + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f + 9 = -6. Let g(i) = i**3 + 4*i**2 + 2*i - 1. Let d be g(f). Let w(h) = -h**3 - h**2 + h + 1. Let m be w(-2). Solve -d*o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -7 + 4 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -111, -372, -789, -1362, -2091, -2976?\n\"Answer: -78*m**2 - 27*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 11183721.18882 and -3?\nAnswer: 11183724.18882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i + 4*i - 5*i)*(59 + 18 + 40)*(4 + 1 - 4)*(-3 - 1 + 3) to g + d*i and give d.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 750982006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 8.71738876 to 3 dps.\nAnswer: 8.717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 242\/(-18)*3*(-9 + 6) and 66?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 PM and 12:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-490)\/(-125) + 4\/50 + (-92)\/(-12)*-3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -r**2 - 7768*r - 15085456 = 0.\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 970, 12, -2642, -7856, -16494, -29420, -47498, -71592?\nAnswer: -102566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 2 e when three letters picked without replacement from {e: 13, r: 3}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 72 and 394920.\nAnswer: 394920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p - 0*p + 28. Let r(q) = -4*q**2 + p*q**2 - 4*q**2. Let u(h) = h. Let c(y) = y**2 + 2*y. Let b(x) = c(x) - 2*u(x). What is r(b(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12859054.\nAnswer: 2, 13, 37, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30381*c + 30395*c - 3290 = 0. Does 45 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 45, -22\/101, -0.4, 193 in descending order.\nAnswer: 193, 45, -22\/101, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the first derivative of 6 - 4\/7*v**2 - 2\/21*v**3 - 8\/7*v. Find o such that z(o) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 3*t - 33. Let a be f(12). Factor 1\/4 + 1\/4*o**a + 3\/4*o**2 + 3\/4*o.\nAnswer: (o + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9981439*k**4 + 19192566 wrt k.\nAnswer: -39925756*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 51 - 7. Suppose -6*k + 10 = -p. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 262 (base 10) in base 9?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1849583 - -3292.13\nAnswer: -1846290.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27676 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**7*x**(-1\/9) assuming x is positive.\nAnswer: x**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 270499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:54 AM and 12:02 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -1.24311 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -17 + 20. Suppose 0 = 4*d - v*t - 304, -2*d - t + 69 = -d. Let p(k) = -68*k + k**2 + 5 + 2 + d*k. Calculate p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*(-1 + 11)\/2. Suppose p = -5*x + 180. What is the greatest common divisor of 22 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -21966, -87776, -197444, -350970, -548354, -789596, -1074696?\n\"Answer: -21929*k**2 - 23*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -3291 greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 3 (b) -0.49 (c) 0.5 (d) 3\/2 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of -2*f - 1 - 1\/2*f**2. Let k(s) = -4*s - 11. Suppose -5*j + 423 = 478. Give j*l(b) + 2*k(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2421 (base 5) in base 11?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*(((z**(-1\/18)\/z*z)\/z*z)\/z)\/z)*z)\/z**(-2\/73))\/(z**(-15)\/z)**(-2\/3))**(-6) assuming z is positive.\nAnswer: z**(9965\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -1897226 by -19.\nAnswer: 99854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -36, 0.1 in descending order.\nAnswer: 0.1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -161371285\/15912 + 91273\/9. Let d = g - -83845\/1768. Let u = d - 3818\/91. Find the common denominator of -121\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -2 (b) -3\/2 (c) -13 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 7 + (0 - -2) + 3 + -54. Let x(o) = 5*o**3 - 2*o**2 + 2*o + 2. Let i(z) = -49*z**3 + 21*z**2 - 21*z - 21. Determine m*x(t) - 4*i(t).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 11534.78 meters?\nAnswer: 11.53478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, j: 9, p: 1, f: 4, o: 2}. Give prob of sequence oyop.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 94*y**2 + 4*y - 3. Let n be v(1). Let d = n - 98. Let j(r) = -44*r - 4. Let l be j(d). What is the highest common divisor of l and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 24*q**2 + 1. Suppose -3*h = -3*c - 24, 0 = -12*h + 14*h + 5*c - 23. Calculate the remainder when j(-1) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -3*x**2 - x - 8. Let q(m) = -16*m**2 - 10*m - 8. Let t(j) = -29*j**2 - 18*j - 15. Let o(k) = 9*q(k) - 5*t(k). What is 3*d(l) + 8*o(l)?\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 6 + 3 - 2*t)*(-t**2 + 5*t**2 + 0*t**2) - t**3 + 3*t**3 + 0*t**3.\nAnswer: -6*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 563439842.\nAnswer: 2, 7, 73, 551311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 6277.952 milligrams to tonnes.\nAnswer: 0.000006277952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 44\/53 - -928\/159. Let z(w) be the first derivative of 0*w**4 + 3 - 1\/5*w**5 + 0*w**2 + 0*w - d*w**3. Find the third derivative of z(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19881 is divided by 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 1)*(-k + 3*k - 4*k) + 0*k - k - 2*k + (-1 - 3 + 3)*(-2*k + 3*k - 4*k) + 38*k - 23*k + 42*k.\nAnswer: 61*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*s**4 + 1544*s**3 + 11*s**2 - 4207922*s + 1.\nAnswer: -72*s**2 + 9264*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 108*n**2\/7 - 723*n\/7 + 300\/7 = 0. Calculate n.\nAnswer: 4\/9, 25\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z**(-2\/15)*z)\/z*z)*z*(z**(12\/5)\/z*z)\/z)\/(z**(5\/3))**(-8\/11) assuming z is positive.\nAnswer: z**(206\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -114377.8028 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*s + 1848 = 109*s - 43*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 23. Let b = 66 - d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 242 - 800.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -t**2 + 6*t**2 - 17*t**2 - 9*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*u = 854996 - 85124. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8 + 33\/(-6) + (-9)\/(-2). Solve 0 = 3*x - 5 - n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2395.58708657659 + -0.4.\nAnswer: 2395.18708657659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that -a**3\/6 + 1299*a**2\/2 + 178555*a\/2 + 18095159\/6 = 0.\nAnswer: -67, 4031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -5 - -533640?\nAnswer: 533634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -989121798 + 681515680. Let n = -307605972.000063 - i. Let v = n - 146. What is v rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -70, -165, -234, -265, -246, -165?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 11754069 divided by 11754069\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -27\/160, 0.3, 2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*x + x + x + (-1257 - 16*x + 1257)*(-2 - 3 + 0))*(3 - 5 + 2*x - 2)*(x**2 + 3*x - 3*x).\nAnswer: 158*x**4 - 316*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12\/376249 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 232077.\nAnswer: 3, 77359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -26060 + 1?\nAnswer: -26057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -60*h**2 - 7*h + 6. Let y(x) = 121*x**2 + 15*x - 13. Give -13*o(k) - 6*y(k).\nAnswer: 54*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 0*h - 7 = h, 33 = 2*u + 5*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 5*a - 183, -4*a = 5*l - 219 + 61. 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: Rearrange 0*h**3 - 817 + 5*h**3 - 4*h**4 + 4440*h + 810 - 4441*h to the form m*h**3 + u*h**4 + y*h**2 + l*h + z and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -228*u + 28 = -226*u. Let l be (7\/(u\/(-4)))\/(4\/(-16)). Solve 3*p + l = g - 9, -3*p = 3*g + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3 + -2 + 0)*(0 + 0). Which is the second smallest value? (a) w (b) 2 (c) -3 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 47\/40 and -79\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-339)\/378 + (-10)\/(-35))\/((-165)\/88) and 43\/160.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 88 divide ((-2)\/2 - 24\/(-36))*-4281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 867 a factor of 65553003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*x = 33*x + 5*p - 45, -153*p + 456 = 2*x + 68*p for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 76 divide 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 + 4*z + 4. Let k be f(-2). Let m be (k + 14\/6)\/(15\/990). What is the third derivative of -154 + 7*w**2 + m - 14*w**5 wrt w?\nAnswer: -840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*u - 39 - 543 + 42 = 0 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -327, 296, 911, 1518?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 2 s when four letters picked without replacement from sjsjsssss.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 6217*b = 6215*b - 232 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118643 is divided by 59319.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 - 7. Suppose p + 11 = -5*f, 8*p - 3*f = a*p + 25. Suppose 4*o - 12 = 0, 5*t + 0*o - 2*o = -6. Put t, p, -2 in decreasing order.\nAnswer: p, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 11*f + 12 = -6*f, 15*u - 2*f = 60 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -89*d + 91*d + 4*s = 140, -4*d + 7*s - 71 = -32 + 236 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4856261?\nAnswer: 4856261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000007176 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w - 6*w + 0*w + (4 - 4 - 2)*(1 + w - 1))*(4 - 4 + 3*w**4).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 228 = -34*b. Let g(y) = -1898*y - 55. Is g(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 1847 = -4*r, -2*r + 3685 = 2*p - 7*r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -i - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2 + 3 + -3 + 1. Suppose 2*b + 1 = h*j - 3, j - b = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggguxuguuguguggggu. Give prob of sequence uxu.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 5 + 2)*(2*v**2 - 8*v + 8*v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of -g**6\/2 + 36*g**5\/5 - 33*g**4 + 38*g**3 + 135*g**2\/2 - 150*g + 9254. Suppose b(a) = 0. What is a?\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**2 - 6*p + 22. Calculate l(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 332*u - 12 = 329*u. What is the remainder when 65 is divided by u\/(-3)*(-54)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (188\/(-2068))\/(34\/(-11)).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 184044, 184105, 184178, 184269, 184384?\n\"Answer: q**3 + 54*q + 183989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 146*h**2 + 157*h**2 + 166*h**2 - 472*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1072157.\nAnswer: 1072157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 - 7*j + 20. Let t be z(-9). Let s be t*(-1 - (-4)\/1). Solve i + 4*n - n = -s, -2*i - n = -3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (20\/(-3))\/(2\/(-3)). Does 5 divide ((-12)\/(-9))\/(m\/75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*(-5 - 700\/(-125)))\/(1\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 188 + (3 - 6 - -2). Let t = -80 + y. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -67 + 75*m - 100*m + 29*m to the form l + a*m and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 - -17039554.\nAnswer: 17039545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = q + 33. Let n(l) = 33. Let x(g) = -6*d(g) + 5*n(g). Calculate x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 556 divide 10711340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let m be (2\/3)\/(8\/(-2028)). Let a = -85 - m. Suppose 0 = 52*v + 10*v - 5146. Which is greater: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 3*t - 2*t)*(2*t - 3*t + 0*t) - 4570*t**2 - 1347*t**2 - 308*t**2.\nAnswer: -6223*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 5143937389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 17679 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 8394857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the third derivative of -125*y**4\/24 + y**3\/3 + 5*y**2. Is z(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (80\/(-1190))\/((-360)\/210)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 289 + -284. Let p(z) = 10*z**2 + 2*z + 2 - 4*z**2 + 5*z**2 - j*z. Give p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20\/51 - -1\/17. Let o = -88 + 88.1. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 - 3*u - 501. Let v be h(24). Let j(i) = -3 + 2*i + i**3 + 2*i + 6*i**3. Is j(v) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -11\/2 (c) 2\/5 (d) 0.2 (e) -2 (f) 0.0653\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-24)\/(-20))\/2 + (-46)\/10. Let a be ((-2)\/(-5))\/(p\/(-10)). Which is bigger: a or 3\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71169311?\nAnswer: 71169311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y, 1 v, and 1 r when four letters picked without replacement from vyrvvrrriyruirv.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*p - 2 = -47 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i + 3*i**4 + 0*i)*((5 - 2 - 4)*(1 + 0 - 2) + (0 - 1 - 6)*(0 - 5 + 3)).\nAnswer: 45*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*2*2)\/(sqrt(1100)*2).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6708 is divided by 210?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) be the second derivative of -11*u**5\/20 - 10*u**3\/3 - 15*u. What is the second derivative of f(j) wrt j?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o + 133 = 0, -34*v - 3*o - 41 = -30*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of 0*p**2 + 1\/10*p**5 - 1\/3*p**3 + 0 + 15*p + 0*p**4. Let m(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*r + 24*r = -1284. Let p = 284 - r. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-6\/11)\/(t\/(t\/t**(2\/19)))*((t**(-10)*t)\/t)\/(t\/(t*t\/t**(-1\/6))) assuming t is positive.\nAnswer: t**(-11893\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (12\/8)\/((-36)\/8 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-238 - 10*t**2 + 238)*(58*t - 78 + 78)*(4 - 2 - 3) to the form m*t + v*t**3 + j*t**2 + g and give v.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 + -2.552?\nAnswer: -2.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 10.4 - 5877\nAnswer: -5866.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g, 0 = 2*c - 3*g + g. Suppose 2*b - 17 = -3*d - 1, 2*b + 12 = 4*d. Let w = d - c. 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: Suppose -l = 2*l + 2*j - 49, 0 = 2*l + 4*j - 38. Let a = -21 + 32. Suppose -1 - a = -3*m. Solve m*t = -t - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-18)\/48)\/(6\/(-8))*4. Let q(y) = y**3 + 7*y**2. Let j be q(-7). Suppose j = -3*f - 5*k + 1877, -x*k = 8 - 4. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 4794 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -122211 (base 3) to base 2\nAnswer: -111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/4 and -71\/1064.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 6 * -811\nAnswer: -4866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6\/37 (b) 5\/161986 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 + 10*s**2 - 21*s - 93. Let n be y(-11). Solve l = -2*t - 13, 2*l - 1 + n = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 83687\/12 - 6974. Put -4, -0.06, 3\/8, 2\/5, o in decreasing order.\nAnswer: 2\/5, 3\/8, -0.06, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by 8579241?\nAnswer: -5\/8579241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 9 = 0, 2*t - 63 = -n + 15. Suppose 0 = -3*j - 0*j + n. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 - -134021?\nAnswer: 134021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/4 in 2\/17, -0.4, -29.55, 6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0436 + -0.0264. Are q and -2\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from {u: 14, r: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -11*k**2 - 61*k - 60. Let z(b) = 4*b**2 + 30*b + 30. Let c(f) = 2*l(f) + 5*z(f). Factor c(i).\nAnswer: -2*(i - 15)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 133 = 4*q, -6*t = -2*q - 2*t - 50. Let d = q - -61. Suppose 0 = -2*b + d + 4. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 91\/530 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10691023 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2, 2\/19, -0.104, -3\/11, 3.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1.03 (b) 5 (c) 2\/39 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, c: 7, m: 1, y: 1}. Give prob of picking 1 n, 1 m, and 1 c.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -307.05*225.59.\nAnswer: -69267.4095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 AM and 11:03 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -16863 + -2?\nAnswer: -16865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -3*c**3 + c**2 + 8*c + 24. Determine k(-4).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of u**5\/60 - u**4\/4 - 6*u**2. Let z(d) = -2*d - 1. Let n be z(-4). Calculate the smallest common multiple of x(n) and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 AM and 3:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of -x**3\/3 + 32*x + 21. Let y be v(-6). Let z(w) = w**2 + 6*w - 1. Calculate z(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -15487 - 10?\nAnswer: -15507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/5 - (-40)\/25. Let b = p - -2. Let y(h) = -3 - 1 - h**2 + b. Let n(u) = 7*u. Determine n(y(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 11871506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(130)*-3 - -4*sqrt(130)*-1)\/(-5*(sqrt(10) - (sqrt(100)*2)\/sqrt(10))).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2268294460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 756629.8um in centimeters?\nAnswer: 75.66298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 0*f + 2*m + 14, -f - m + 7 = 0. Let n = 17 + f. Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-1 - 1) + (4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 3*h**4 - 3*h**6 - 6 + h**2 + 6 + 3*h - 3*h**5. Let d(s) = s**5 - s**4 - s. Let r(k) = -3*d(k) - m(k). Find the third derivative of r(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2348 and -12516.2?\nAnswer: -29388037.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 + -16. Suppose 3*t - 185 = -2*t. Calculate the remainder when t is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46435258 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10427?\nAnswer: 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (14 + 1946*z**2 + 1901*z**2 - 3793*z**2)*(3 - 3 - 2*z).\nAnswer: -108*z**3 - 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**5 + 2*o**5 + o**5 - o**5 + 0*o**5 + 2*o**5 + (4*o**3 - 3*o**3 - 2*o**3)*(-2 - o**2 + 2) - 45*o**5 - 69*o**5 + 16*o**5 - 4*o**5 - 95*o**2 + 95*o**2.\nAnswer: -98*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -6*d**2 + 138*d - 9. Give f(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6\/41 + -101\/410. Let g = 3.06 + -0.06. Let c = g + 2. What is the nearest to 0.1 in h, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24645960 divided by 4?\nAnswer: 6161490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 649634 is divided by 324812.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 413*j - 15. Let z(f) = -207*f + 8. Give 6*s(b) + 11*z(b).\nAnswer: 201*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 17, -4, 27, 1 in decreasing order.\nAnswer: 27, 17, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 2127*h**2 - 57*h - 22. Let y(s) = -1065*s**2 + 27*s + 10. Let j(p) = -5*y(p) - 2*z(p). What is the second derivative of j(l) wrt l?\nAnswer: 2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -129*m. Is f(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -391 * -1217.581\nAnswer: 476074.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 843, 1233, 1623, 2013?\n\"Answer: 390*c + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74, -291, -632, -1079, -1614, -2219, -2876?\nAnswer: -3567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 325*s**2 + 22*s + 97. Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10138 divided by 9.\nAnswer: -10138\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 6704000 by 33520.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 8570, -6.\nAnswer: -6, 1, 8570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 3, 1668?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*u**2 + 110*u - 50*u - 63*u.\nAnswer: 12*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*t = -69*t - 75*t + 2562 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13 + 6. Suppose -2*u + 309 = 169. What is the second derivative of -a*y + 4*y**4 + u*y - 32*y wrt y?\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6d - 6?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (154\/70)\/(122\/(-2440))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 113\/1584 and 29\/168?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (10\/(-4))\/(65\/104)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -4*k + 1. Let v(m) = -4*m. Let h = -5994 - -5998. Determine h*t(j) - 5*v(j).\nAnswer: 4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -7.51376365 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2\/21*g**3 + 6\/7 - 10\/21*g**2 - 2\/7*g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -8 = -2350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 701925299 a multiple of 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - 21 - -9) + -43 - -19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -690*f**2 - 37*f - 39. Let n be c(-7). What is n rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 405\/99 + (-4828)\/(-374)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 160\/(-180) - (-5330)\/(-585)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 238 - 4e47d?\nAnswer: -4e245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 17 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13854 is divided by 60.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -999\/2 - -511. What is the common denominator of 63\/4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(-2\/9))\/d)\/d**(-4\/7)*((d**(-1\/6)*d)\/d)\/(d\/d**(1\/4)) assuming d is positive.\nAnswer: d**(-31\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 164355?\nAnswer: 3, 5, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.06 + -6.06. Let r = 6077.3 + -6077. What is the closest to r in v, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 352*v**4 - 8*v**3 + 11*v**2 - 236. Let h(d) = -117*d**4 + 3*d**3 - 4*d**2 + 79. Let m(b) = -11*h(b) - 4*i(b). Differentiate m(y) with respect to y.\nAnswer: -484*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/8)\/(c\/(c\/(c\/c**(-4)))))**(-36) assuming c is positive.\nAnswer: c**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 116308\nAnswer: -1\/58154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -4.74166 to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -4322145550 rounded to the nearest 1000000?\nAnswer: -4322000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(304)\/sqrt(128))\/(sqrt(2) + 4*sqrt(10)\/sqrt(5))*-2.\nAnswer: -sqrt(19)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 21*v = 40. What is the third derivative of 3*f**3 - 6*f**5 - 6*f**3 - 4*f**v - 5*f**2 - 9*f**2 wrt f?\nAnswer: -360*f**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 111\/1204 and 99\/130774.\nAnswer: 11246564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 195280005, 390560013, 585840021, 781120029?\n\"Answer: 195280008*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 155 less than -4812872?\nAnswer: -4813027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 4, 48350, 7, 2 in decreasing order.\nAnswer: 48350, 7, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*m + 28*m - 172476 = g, 5*g - 172458 = -3*m. What are the prime factors of m?\nAnswer: 7, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6\/1)\/3)\/((-16)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 15 - 10. Let b = l - 2. Let o = -311 - -323. Solve 0*y + b*y = -o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 567888 divided by -189296?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17 + 24. Let t = p + -3. Suppose 0 = 2*w + 4*z, -3*w - z + 27 = -t*z. Calculate the highest common divisor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 4, -14, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 4*i - 20, -3*i - x + 15 = -0*i. Which is the biggest value? (a) i (b) -27\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.8? (a) 1 (b) -1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 17 > 160\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + 18*r**2 - 14*r**2 - 1 + (r + 0 + 0)*(4*r - 4*r + 2*r).\nAnswer: 6*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 665 + 70?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2192 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -1\/6 (c) -6\/13 (d) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -2)*11340\/720*1\/7*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2594, 5187, 7780?\n\"Answer: 2593*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 2073.86 millennia in months?\nAnswer: 24886320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.1, 1, 0.2 in increasing order.\nAnswer: -3, -0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0, -247, -4, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -21 + 51. Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**3 + 2*s**2 + 2. Let g be h(-2). Let j = g - 4. Let q(d) = -3 + 0 - 8 + 9 - 5*d. Calculate q(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -69200252*v**4 - 37*v - 1666132?\nAnswer: -830403024*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3743377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**2 + p**2 - p**2)*(82*p + 302 - 302 + 2 - 2*p - 2 + (-1 + 1 + 2*p)*(-5 + 3 + 4) - 1 + 1 - p).\nAnswer: 83*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14 - 10. Let k(f) = 2*f**2 + u*f**2 - 8*f**2. Let d(a) = -12*a. What is k(d(g))?\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(175) + -2.\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a - 2 = -14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 720 - (8 + -5 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b + 3060 + 512. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(11\/5)\/(k*(k\/(k**(4\/3)\/k)*k)\/k)*(k*k**(-9\/4)*k*k)\/k**3 assuming k is positive.\nAnswer: k**(-103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 1 + 3*j**2 + 15*j**2 + 23*j**2 + 32*j**2 + (-2*j + 0*j + 3*j)*(-j + 0*j + 0*j) + 3 - 3 - 3*j**2 to l*j + x + i*j**2 and give i.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 PM and 6:23 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3272777*g**3*x - 6*g**2*x - 2326*g**2 - g*x - 2*g wrt g?\nAnswer: 19636662*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 199 - 27. Let q be p\/36 - 4\/(-18). Is (36\/10)\/(q\/25) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4641314?\nAnswer: 2, 2320657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36534.\nAnswer: 2, 3, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from auzztzuukztz. What is prob of sequence tt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in -0.7, -2\/7, 8\/9, 0.1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(171)*5 + 5*(sqrt(171) + -5*sqrt(171)))\/(sqrt(9) - sqrt(36)\/(sqrt(12)\/sqrt(3)) - sqrt(63)\/(sqrt(7) + sqrt(252))).\nAnswer: 245*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 495 + -495.20025. Let n = o + 0.2. What is n rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -7002224, -14004389, -21006554, -28008719?\n\"Answer: -7002165*a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/f**(-3\/7))\/(f*f**(-1\/3))*f**(-1)*f*f\/f**(-6) assuming f is positive.\nAnswer: f**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a + a - a + 0*a + 0*a + a + 0 - 2*a + 0 + (a + 3 - 3)*(0 - 4 + 2) + 2 - 2 + 2*a + a + a - 4*a + (34 - 19 - 22)*(4 + a - 4)*(136 + 157 - 99).\nAnswer: -1359*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*d - 5*x = -16*d + 15, 5*d - 3*x = 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36 + -35.95. Let f = 18.5 + -22.55. Let b = q + f. Sort -1, -3, b in descending order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*x**2 - 4*x**2 - 6*x**2)*(-2 + 4*x + 2)*(2*x - 4*x + 3*x) to q*x**2 + k*x**4 + z*x + a*x**3 + w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 544151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.3161259621 to 5 dps.\nAnswer: -0.31613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*u + 10*u - 58. Let o = u - 19. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -18, -38, -58, -78, -98, -118?\n\"Answer: -20*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r + 12 = 3*r. Let a be -1 + r + 9 - 9. Let d(n) = -38*n - 55. Is d(a) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 4*p + 50, 8*v - p = 248 - 34. Solve v*i = 208 - 52 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a\/(a**(-1)\/a))\/a*a)**(-1\/8))**38 assuming a is positive.\nAnswer: a**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50, -312, -1016, -2384, -4638, -8000, -12692, -18936?\nAnswer: -26954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1378443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {h: 11, q: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*i*x**3 - 203*i*x**2 + 9*i + 42*x wrt x?\nAnswer: -30*i*x - 406*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40259 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r - 7. Let s be d(16). What is the derivative of 9*m - 328*m**2 - 20 + 220*m**2 - s*m wrt m?\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 117 + 13. Let j = 84 + -138. Let z = o + j. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, x: 1, a: 1, j: 1, d: 1, z: 1}. Give prob of sequence zd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 + 9. Suppose z + 172 = c*f, 0 = -0*z + 2*z + 4. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.092, 0.08, 0.5?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 284 - -220. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + 2*r - 120 = 82, -r - 529 = -5*s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + -124?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 115418, 230761, 346110, 461465?\n\"Answer: 3*q**2 + 115334*q + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 7619, 30452, 68501, 121772, 190271, 274004, 372977, 487196?\n\"Answer: a**3 + 7602*a**2 + 20*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5162?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 29 = -2*n, -3*m - n - 9 = 2*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 1512 by -504.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -32155 + -2236?\nAnswer: -34424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2 + 61*q - 516. Let r be m(10). Let w(d) = d**2 - 3*d + 1. Let t be w(5). Let s(v) = 2*v**3 + t*v - 5*v**2 - 4*v - 3*v**3. Determine s(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 5*t = -3 + 49, x = 3*t - 3 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 37507 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the second derivative of -f**5\/10 - f**4\/3 + 2*f**2 - 2*f. Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 AM and 12:12 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*u + 5. Suppose -2*p - u = -0. Let v = -1.9 - -0.9. What is the closest to v in -2, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 4*s + 4, 3 = s - l - 1. Suppose -3*t + 0*t + 4260000 = s. What is t rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21682 take away 0.1?\nAnswer: -21682.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence swpw when four letters picked without replacement from {p: 1, w: 3, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 11 = 3*b - 32, -2*b + 10 = d. Let z = d + -4. Suppose -2*l - 4*k = l - 21, z*l + 3*k = 21. Let o(x) = x**2 - 4*x + 2. Determine o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 1 = -17. Solve -18 = -x*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 divided by -177088?\nAnswer: 1\/22136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be 15472022\/174*2\/1405630. Let c = -2\/24235 + l. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 2*s**2 + 30*s + 77. Let u be 3 - 16 - (-1 - 2)\/3. Let j be c(u). Solve -j = -6*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -35060820 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 579168 and 241884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h = 5*h + 25. Suppose -c - 3 = 5*t, 27 = h*c - 4*c - 5*t. Let o(s) = 7*s + 52. List the prime factors of o(c).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 75179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112768 is divided by 94.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001010011 + 100?\nAnswer: 1001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3084797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/((-21)\/7) - 3\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 16*o**3 + 400*o**2 - 2*o - 48. Let j be n(-25). Solve f = d, -5*d + 4*f = -3*d - j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 at most 4.9228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -113270*d**3 - 115809?\nAnswer: -339810*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 378, 375, 368, 357, 342, 323, 300?\n\"Answer: -2*x**2 + 3*x + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -q**2\/7 - 37*q\/7 - 36\/7 = 0. Calculate q.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**4 + 925216*a**3 - 5551440*a**2.\nAnswer: 4*a**2*(a - 6)*(a + 231310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by 1292.\nAnswer: -1\/646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6*4\/(-16)*2. Let u be o - -4 - 12\/(-2). Is (-5962)\/(-8) - u\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68863612?\nAnswer: 2, 17215903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -11*n**2 - 5*n - 7. Let m(z) = 11*z**2 + 6*z + 6. Let v(l) = 3*a(l) + 4*m(l). What are the prime factors of v(-4)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l*(l**(5\/4)\/l)\/l*l)\/l)\/l)\/(l\/l**4))\/((l\/((l**10\/l)\/l))\/l*l*l**3) assuming l is positive.\nAnswer: l**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 6*f - 6. Suppose 98 = 30*u + 8. Factor 0 + 0*o - 3\/5*o**5 - 6\/5*o**f + 0*o**2 + 0*o**u.\nAnswer: -3*o**4*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -430.4 + 424. Sort -3, i, 9.\nAnswer: i, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -11*i**2 - 11*i - 4. Let b(f) = -4*f**2 - 4*f - 1. Let o(w) = 8*b(w) - 3*c(w). Let m(n) = n**2 + n + 5. Let t = 16 - 21. Calculate t*o(g) + 4*m(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*(l\/l**1)\/l*l)**(1\/3)\/((((l*l*l**(2\/9))\/l)\/l)\/l*(l*l**(-1\/8)*l)\/l) assuming l is positive.\nAnswer: l**(17\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -2, -1\/5, -5, 1\/5, -7 in decreasing order.\nAnswer: 1\/5, -1\/5, -1\/4, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 8:51 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2 + (0 - 2 + 1)*(2 - 1 - 3) - 10 + 2 - 5 + 4 - 3 - 2)*(0*m + 4*m - m).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 882 and 828?\nAnswer: 40572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3247b - -5?\nAnswer: -32476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 6 - 7*t - t**3 + 8*t + 2. Let y be l(0). Solve 0 = -2*z + 5*v + y, 2*z + 3*v = 4*v + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 3*l - 2. Let x(f) = 5*f - 5*f + f - 2*f. Suppose 6 = -3*t + 18. Determine t*x(h) + d(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 6. Let v = -6 + 7. Let a = b - v. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/30133542 and -83\/66618?\nAnswer: 90400626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**18*l*l)\/l**(-1\/7)*(l\/l**(-9))\/(l*l\/((l*l\/(l\/(l**12\/l)))\/l)) assuming l is positive.\nAnswer: l**(274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 721952543.\nAnswer: 13, 23, 2414557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6447 + -6450. Which is the nearest to -1? (a) z (b) -0.1 (c) 1\/20 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b + 93 = 2*h + 98, b = -2*h - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -7*y**2 - 8*y - 2. Let k(u) = -u**2 - u. Determine 5*k(j) - v(j).\nAnswer: 2*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*-3 + (-4)\/2. Let q(o) = -3*o - 3. Let f(g) = g + 1. Let k(b) = 5*b - 2. Let y be k(0). What is a*f(i) + y*q(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2867, 2823, 2781, 2741, 2703?\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -839449 by 3.\nAnswer: -839449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 397.954 to zero dps.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xtxgtxggxtxtx. What is prob of picking 2 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u + 9 + 1. Which is greater: u or 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) 7 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210356.\nAnswer: 2, 43, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (12948 - 23*r - 12947 - r**3 + r)*(-5*r + 2*r + r).\nAnswer: 2*r**4 + 44*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1154761571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s - 7 + 3*s**2 + 1 + 0*s. Let j be n(-6). Suppose 4*x = -3*g + 2*x + 44, 2*g = 2*x + 16. What is the highest common factor of j and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 259941, -274, 2 in ascending order.\nAnswer: -274, 2, 259941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22 - -30. Suppose 4*f = 5*f - r. Solve -2*h - 2*h = m + 20, -f = -3*h + 5*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nxnrekqerrxxqr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 - -8. Let p = 28\/79 - -6547\/474. What is the common denominator of p and 15\/u*34\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 + -5d?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 9.153798 meters?\nAnswer: 915.3798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000012298 to seven dps.\nAnswer: -0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1129, -3 in descending order.\nAnswer: 1129, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 2*q = -2*k + 8, 0 = -5*q + k - 18. Let j be 8\/15 - q\/(-20). Is 0.33 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1507 - 521. What is the lowest common multiple of h and 17?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - 2 + 2)*(4 - 8 - 15).\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -96\/7 + 6\/7*l**3 + 62\/7*l**2 + 100\/7*l.\nAnswer: 2*(l + 3)*(l + 8)*(3*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -5*b + 6*b + 4, 2*a + 2*b = 0. Suppose -35 + 41 = a*w. Solve -w*s + s = p - 9, -4*p = 4*s - 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -4, -2, 21, 107 in increasing order.\nAnswer: -6, -4, -2, 21, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 - f**2 + f + 3. Let v = -12 + 12. Let s be r(v). Put s, 1, 4 in ascending order.\nAnswer: 1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 AM and 5:09 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 62679052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2589626, 10358456, 23306506, 41433776, 64740266, 93225976, 126890906?\nAnswer: 165735056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**2 - b + 2. Let x be g(2). Let m be (0 + 4)*(-5)\/(-10). Suppose 0 = x*i - 4 + 24, -2*c - m*i = -84. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q**2 + 41*q - 23. Let i be t(20). What is the closest to -0.1 in 0.3, 1, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of x**3\/3 - 2*x**2 - 5*x - 2. Let l be f(5). Let a be -1 - -4 - (3 + -2). Which is smaller: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + 2.5. Let f = 182 + -2000\/11. What is the second smallest value in r, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 275565, 551004, 826309, 1101480, 1376517, 1651420, 1926189?\n\"Answer: -67*v**2 + 275640*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-12)*c**(-2\/9))**(15\/7))**(-3) assuming c is positive.\nAnswer: c**(505\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 28\/(-16)*-4 + -2. Solve 0 = -2*t - 2*t + h + 5, c = -h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqkkiqqqkqikq. Give prob of sequence kiq.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 528000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -830531 < -830542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 60\/(2 - -2) + 3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/4)\/(-1)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 703 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the third derivative of g**6\/360 + g**5\/15 - 7*g**4\/24 + 7*g**2. Let q(d) be the second derivative of o(d). What is the derivative of q(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 10 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 340 - -201?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 7*r. Let d be h(6). Suppose 2*t - t + 3*m - 14 = 0, -5*m + 28 = 2*t. What is the greatest common divisor of t and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -s + 3*z, -28 = -2*s - 4*z + 8*z. Suppose -4*k + 2*k = -4*r + 52, r + k - 13 = 0. Calculate the remainder when s is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.894079 millennia to centuries.\nAnswer: 78.94079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n. Let b be (-1)\/((1\/(-2))\/1). Let o(w) = -w**2 - w + 1. Let v(g) = -8*g**2 - 7*g + 7. Let l(k) = b*v(k) - 14*o(k). Give a(l(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooaftopofototfaappa. What is prob of picking 1 f and 1 o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 27*f - 13 = -24*f, 2*v + 2 = -2*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5328 and 163008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 11*h**3 - h**2 - h. Suppose 0 = 2*g - 4, -5*x = g - 33 - 44. Let n = 14 - x. Calculate c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -12140115 (base 7) to base 14\nAnswer: -203745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**2*l*l\/l**(-2\/7)*((l*l**(1\/3))\/l)**50)\/((((l*l*l**(-2\/3)*l)\/l)\/(l**(-1)*l))\/(l*l**(2\/13)*l**(-6)*l)) assuming l is positive.\nAnswer: l**(4306\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 60 + (5 - 39) + -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -18 (base 12) to base 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by -693\nAnswer: -5\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 119 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-2\/23)\/f**(2\/43) assuming f is positive.\nAnswer: f**(-132\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 6\/25, -1.3 in increasing order.\nAnswer: -1.3, -0.4, 6\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1262 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 4 = -0*x. Let f be ((-21)\/(-147)*-7)\/((6 - 3)\/(-60)). Solve 2*k = -x*k + f for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -57 - (-74 - -159) - -222\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 121, 28 in descending order.\nAnswer: 121, 28, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -108? (a) -67 (b) 20 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.200322 from -73879.\nAnswer: -73878.799678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 4\/7, -9\/10, 232\/13, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.080968 - -167.508968. Let m = 167 - y. Round m to two decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 1\/7*n**4 + 0 - 1\/7*n**2 + 1\/7*n - 1\/7*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**2 + 31*g - 96. Calculate v(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 38*g + 188. Calculate the lowest common multiple of 680 and v(4).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 - 15*s**2 - 16*s - 26. Let p be z(-14). Suppose 3*k + 2*g = 656, -650 = -3*k + 6*g - p*g. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/379 in 0.5, 0.4, -5, -3\/4, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -60, -69, -90, -123, -168, -225?\n\"Answer: -6*c**2 + 9*c - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -38*t - 267. Let p be z(-7). Which is smaller: p or 4\/69?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 217 and 215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = -640 - -4758. Let w be o\/(-186) + (0 - 1). Let y = 6\/31 - w. Calculate the common denominator of 54\/5 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1994*x**2 - 277044 + 277044 to the form u + t*x + p*x**2 and give p.\nAnswer: -1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-517)\/4 - 1)*8\/15. Let d = -212\/3 - x. Which is smaller: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1*20 + 2\/1. Suppose 5*g - 29 = -t - 10, -2*g = 4*t - l. Solve g*o - 20 + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/u**(-33\/5)*u\/u**(-2\/29)*(u\/u**(-20))**43)**(-13) assuming u is positive.\nAnswer: u**(-1720381\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44 + -31. Let p = t - 18. Let c be ((-6)\/(-7))\/(p\/(-35)). What is the highest common divisor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 903312814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 43098 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -378*(2\/(-204))\/(1505\/(-51170))\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 4) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or -1999\/294?\nAnswer: -1999\/294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -8*j + 10. Let y be g(4). What is the tens digit of 1\/(-1)*(y - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i + 105 = -6*i. Suppose 0 = 3*l - 102 - 12. Let g = l - i. Solve w = -g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 421412 >= 421395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (-585)\/52 - (-17835)\/(-492)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -947 less than or equal to -948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25 + -30. Which is bigger: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 16 = 4*g, -4*g = -r - 2*g + 6. Solve 2*u + r*u - 5 = -3*s, 2*u - 8 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 4*p. Let r(q) be the first derivative of -q**2\/2 - 16. Let k(m) = 3*m. Let j(n) = 4*k(n) + 14*r(n). Give j(t(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1019*u**4 + 168*u**3 + 466728 wrt u.\nAnswer: -4076*u**3 + 504*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 941 is divided by 325?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15010 and 201134.\nAnswer: 1005670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) -5 (d) 1\/3 (e) -0.6 (f) 29.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 11 = -4*w + 7, 3*z - 4*w = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**2 + 9*k - 18. Let c be x(-11). Solve 0 = c*l - l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes before 2:02 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 5*b - 5, -b + 40 = 3*b - 5*r. Let z(a) = -13*a - 4. What is the remainder when z(-3) is divided by (6\/b)\/((-2)\/(-30))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 34\/5 of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -174 + 80. Suppose -3*v = 5*w - 730, 0 = w - 0*v + 4*v - 163. Let h = w + k. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/6*6 - 0. Suppose m = -s + 3*s. Suppose s*y = 3*w - 140996, -2*y - 46796 = -w + 202. What is w rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 161 = 2*s + 159. Let l(v) be the second derivative of v**3\/6 - 2*v**2 - v. What is the least common multiple of s and l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -56*c + 333. What is x(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, u: 2, a: 1, d: 1, r: 1}. What is prob of sequence adpu?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the third derivative of l**6\/120 - l**5\/10 + 5*l**4\/24 + 2*l**3\/3 - 26*l**2. Give i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 2*y - 6, -d = 3*d - 2*y - 6. Suppose 4*t - 4 - 8 = d, -3*t - 51 = -4*c. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3574 + 33753 = -718*j - 9. Let q be -114*(6\/4 + -1). Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.13 and -2.\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1242\/11, 6, -65\/6 in descending order.\nAnswer: 6, -65\/6, -1242\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3 - g - g**2 - 9 - 3*g. Let x be j(-4). Let u be (14\/(-6))\/(2\/x). What is the highest common factor of 35 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5*6*((sqrt(140)*2)\/sqrt(4) + sqrt(5040)*-2 + sqrt(5040))\/(5*(sqrt(10)\/(sqrt(6)\/sqrt(3)) + sqrt(5))).\nAnswer: -30*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find u such that u**3\/5 - 56*u**2\/5 + 784*u\/5 = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -933*l + 84465 = 231*l + 713*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, -3, -35.\nAnswer: -35, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3, -14, -29, -42, -47, -38, -9?\n\"Answer: d**3 - 8*d**2 + 6*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2912 + 9141 - 111*q**2 + 112*q**2.\nAnswer: q**2 + 6229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -1061*r**2. Let t(q) = 209*q + 215*q - 830*q + 205*q + 203*q. Determine f(t(h)).\nAnswer: -4244*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3814, 7631, 11448, 15265?\nAnswer: 19082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*j - 2*t + 5 + 8, 0 = -3*j - 5*t + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m - 7 - 9 = 0. What is i in 116*i**5 + 7*i**2 - 6*i**4 - 119*i**5 - 3*i + 5*i**m - 6 + 6*i**3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 603653674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 508404 + -177111. Let z = h + -331294.99987. Let p = -2 - z. What is p rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (20\/70)\/((-88)\/(-28))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**2 + 197*r - 9181. Determine x(39).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/15021 (b) 2\/15 (c) -2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (5 + -7 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 137*z + 121*z - 467 - 256*z.\nAnswer: 2*z - 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 508702.\nAnswer: 2, 347, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 229483312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n = -5*p + 239 - 221, 8*n - 5*p + 72 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -329.5 - -572.4. What is q rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2889)\/(-576) + (86\/(-18) - 4\/18)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1177209070.\nAnswer: 2, 5, 139, 846913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 672 by 508.\nAnswer: 168\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8.174 <= -4592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 9016*r**2 + 128*r + 267. What is the thousands digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c**3 + 44*c**2 + 88*c + 99. Give v(-42).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7847 - -7857. Solve -4*x - 2*q = 4, -9*x + 19 = -v*x + 4*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/76 and 73\/10193652?\nAnswer: 10193652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*(-24)\/20*140\/18*142371\/(-15819)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12149393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -54, -31, 4, 51, 110, 181, 264?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1191918449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/84*-4)\/(7\/14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-5 + ((sqrt(117) - -4*(sqrt(117) + 0 + sqrt(117))) + -4 + sqrt(117) + -1)*4 + -1)**2 + 0.\nAnswer: -6240*sqrt(13) + 187878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1387 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.26 - -0.26. Let b = 8.1227 + -0.0627. Let q = b + -8. What is the nearest to -1 in q, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 86 - 121. Let o = 393 - 365.6. Let w = -27.5 + o. What is the nearest to 0 in w, 1, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 11*s - 16*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.03 + -536702.\nAnswer: -536702.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -8\/11 and -39\/3359840.\nAnswer: 3359840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, 12215, 2 in increasing order.\nAnswer: 0, 1, 2, 12215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 4*j**2 + 4*j**2 - 20*j**2 + (5 - 5 - 1)*(2*j**2 - 4 + 4) + (0 + 2 + 0)*(3*j**2 - 7*j**2 + 2*j**2) as z*j + i*j**2 + m and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/7)\/(1\/((-2)\/18)). Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25895794?\nAnswer: 2, 17, 101, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7*-8 + (-2)\/2 - 1. Let i = 66 + j. Solve 2*x = i*x + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 110599\/42 - 2633. What is the common denominator of g and -63\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -4*c + 6. What is b(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 3, -3 = -4*z - 2*o - 3*o. Suppose 9 = -z*q - q. Let d = q - -3. Which is smaller: -3\/5 or d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2 + 4*c + 1. Let l be d(3). Suppose 2*p = l*p - 26. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -11322 + -2?\nAnswer: -11324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3904 - 1502 = -62*k - 2000 for k.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a**0*a)\/a**(-2)*(a**(-3\/5)\/a)\/a**2)**(4\/7))**(1\/12) assuming a is positive.\nAnswer: a**(2\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5742154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -1.8 * 23196.6\nAnswer: -41753.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 5*h**2. Let n(c) = 7*c + 17*c - 26*c. What is t(n(z))?\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 404 minutes after 6:02 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from {x: 1, m: 16, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 146838 = -3*f + 2701, -5*j = -32*f - 360269. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 70424 divided by 4?\nAnswer: 17606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -1248*m + 6242. Determine s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 5*(-4 + (-102)\/(-24))*4. Sort -4, -2, l, 0.\nAnswer: -4, -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 6.298 from 0.3.\nAnswer: -5.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 34 + (-41 - (52 + -37))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + (-7 + 9 - (1 + 4)) + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -5*u**2 - 3*u + 8. Let q(x) = -12 - 5 + 6*x - x**2 + 12*x**2. Let a(c) = -4*q(c) - 9*z(c). Calculate a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 78 + 2*m**3 + 237 - 27 + 2*m**3 to u*m**2 + p*m + k + t*m**3 and give k.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 2*h - 6*h - 657, -4*h - 649 = 3*k. Suppose 3*w = -10 + 25. Sort w, h, 0.\nAnswer: h, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*n**2 + 14*n**2 - 10*n**2 - 6287*n + 2354*n + 7*n**2 in the form t*n + b*n**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (f**2 + 2*f**2 - 4*f**2)*(11072*f + 3667*f + 6786*f) to i*f**2 + q*f**3 + o + m*f and give q.\nAnswer: -21525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13 - -18.6. Let o = y + -5.74. Let l = o + 0.24. Sort -2\/19, 5, l, -5.\nAnswer: -5, -2\/19, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -784215.8163 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 PM and 11:13 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(5*(2 + sqrt(117)*-1 + sqrt(13)) + (sqrt(13) - (sqrt(13) - (sqrt(1872)*1 - sqrt(1872))**2)) + 3*sqrt(13)*-1).\nAnswer: -52*sqrt(13) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 520859426?\nAnswer: 2, 19, 23, 595949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 95\/2672 and -113\/6012.\nAnswer: 24048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -5 + 2*(-4 + -5*(sqrt(396) + 0)) + -3)**2.\nAnswer: 1800*sqrt(11) + 39825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 111321 (base 4) to base 15.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the third derivative of n**8\/2184 - n**7\/455 + n**6\/390 + n**5\/195 - n**4\/52 + n**3\/39 - 8*n**2 - 4. Determine o so that g(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 - 2)*(-3 + 1 + 3)*(-2 - 2*c - c + 2*c)*(2 + 2 - 6).\nAnswer: 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 200 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of 9\/2*t**2 + 2*t - 1\/3*t**3 + 2. Let q be y(8). What is the greatest common divisor of q and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 202\/8 - 2\/8. Suppose 4*d + p = -15. Let v = -81\/8 - d. What is the second smallest value in -2\/11, -5, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 471632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*b - 5*o - 15, 0 = 3*b - 2*o + 7. Let g(m) = m**2 - 2*m + 1. Give g(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x*x\/(x\/(x\/(x*x*(x*x**1\/x)\/x*x))))**(-11)*x**(2\/9)\/(x\/x**(2\/7)))**22)**(4\/15) assuming x is positive.\nAnswer: x**(-2728\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z + 4. Let o(l) = 3*l - 7. Let r(t) = -5*d(t) - 2*o(t). Let b be r(-5). Suppose 25 = 8*a - 3*a. What is the closest to b in a, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - 11. Let b(p) = -2*p**3 - 6*p**2 + 3*p. Let r(x) = x**3. Let d(y) = o*r(y) - b(y). Factor d(c).\nAnswer: -3*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-58)\/(-3))\/(-2) - 3 - 52\/39?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -23500 rounded to the nearest 100?\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.3034844 millimeters?\nAnswer: 303.4844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - k**2 + k - 1. Let a(m) = 513*m**3 - 3*m**2 + 4*m - 5. Let s(r) = a(r) - 4*o(r). Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 94*a - 33*a - 88*a.\nAnswer: -27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((9\/(-18))\/((-8)\/(-16)))\/((-22)\/2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21236*z**5 - 2*z**2 + 16584*z + 17 wrt z.\nAnswer: 424720*z**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 6, y: 2, p: 2, z: 2}. What is prob of sequence yy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 456*c**3 - 1914*c + 2 wrt c.\nAnswer: 2736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.03 (b) -444\/71 (c) -0.01 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1150)\/(-1225)*26019\/354?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 0.1, -9 in ascending order.\nAnswer: -9, 0.1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3229103155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*j - 7*j - 363 + 33 = 78*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 33469482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*v**2 + 2322 + 851*v**3 - 7*v**2 + 498*v**3 + 4*v**2 with respect to v.\nAnswer: 4047*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*j - 8 - 4. Suppose 0 = -2*o, -d + 1 - 2 = -j*o. Sort 3, d, -3.\nAnswer: -3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*a - 27*a + 258 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 23955855?\nAnswer: -1\/23955855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 2*i - 3424 = 5559, 0 = 3*p - i - 5389. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -59, -4, 11, 0, -18 in descending order.\nAnswer: 11, 0, -4, -18, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 5060953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 22*n - 2. Let y be i(-1). Let z be (-40)\/y + 2\/6. Suppose z*s = -3*r + 49, -2*r = 3*s - 7*s + 58. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -118\/39 - 1397\/273. Find the common denominator of (-356)\/8*1\/(-5) and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13120 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}