diff --git "a/data/dm_maths/full_data_2/1318_11255.jsonl" "b/data/dm_maths/full_data_2/1318_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1318_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is prob of sequence vviv when four letters picked without replacement from vvvvvvvivvvvvvv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1210689325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83920, 83834, 83754, 83680, 83612?\n\"Answer: 3*g**2 - 95*g + 84012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-297)\/(-2052) + 2\/19. Let a = -736727\/287 - -2567. Let s = a - 1439\/574. What is the biggest value in 3, f, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 850b + -41?\nAnswer: 84aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 386*l**2 + 244*l + 5975. Is u(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -966, -1205, -1444?\nAnswer: -1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = -767 + 748 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 174129.443 rounded to the nearest 1000?\nAnswer: 174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7908*-0.1.\nAnswer: -790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350250*k**2*n**3 + 46*k**2*n**2 + k**2*n - 1200*k*n**2 - k*n - 3*n**3 - 2*n**2 wrt n?\nAnswer: 2101500*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2045239 and 48386?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12532 and 676.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 f when three letters picked without replacement from {b: 2, g: 1, f: 9, d: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 6. Let z be ((-4)\/3)\/((-4)\/g). Suppose 3*d = v - 7, 0 = 2*v + z*d - 11 - 3. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/6910727 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(15)\/sqrt(5) + sqrt(3))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.26 - 1.11. Which is the closest to p? (a) -2\/5 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03 (b) 218 (c) 2 (d) -0.32 (e) 0.2 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(675) + 3)*-3 + sqrt(675) + -3*(3 + sqrt(675)))*4*4.\nAnswer: -1200*sqrt(3) - 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1562.8445 to the nearest ten.\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 3*p. Suppose 0 = 2*c - 0 + 4. Let r(b) = 0*b + 2*b + 0*b. Give c*h(l) + 3*r(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 687 - 685. Suppose 5*r - r - p = 20289, -j*r + 10122 = 4*p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/5 - 291*q**2\/10 + 151*q + 420 = 0.\nAnswer: -2, 15\/2, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107403 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 13 - (7 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10111000100000?\nAnswer: -10111000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 5:06 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77565 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 6, -4\/9, 133, 115\/4 in descending order.\nAnswer: 133, 115\/4, 6, 5, 3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + x**2 + 5*x + 3. Let u(i) = -i**3 - i**2 - 4*i - 2. Let b(s) = 2*r(s) + 3*u(s). Let t be (5 + (-36)\/6)*(1 - 3). Give b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbwb. Give prob of sequence wb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a + 7. Let f be g(5). Let w(v) = -6 - 9*v**2 + 1 + v**2 + v + v**3 + 4*v**f. Let m = -9 - -13. Give w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -956, -992, -1010, -1004, -968, -896, -782?\n\"Answer: v**3 + 3*v**2 - 52*v - 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2204162*y - 13224978. Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211020 - -212011220?\nAnswer: 220000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -42. Solve 4*n - 4*v - 12 = 0, n + 5*v = -r*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddx when three letters picked without replacement from {d: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/690 and 131\/2058.\nAnswer: 236670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.89633g in milligrams?\nAnswer: 7896.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/84 - 2\/(-7))*44. Suppose 6*z = i*z. Suppose -3\/2*u**3 - 3*u**4 + z + 0*u + 0*u**2 - 3\/2*u**5 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 l when four letters picked without replacement from ooljljjjjdjdjolll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26 + (-3 + 1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (132*y**2 - 40*y**2 - 45*y**2)*(-12 - 2*y + 5 + 6) - 2 + 2 + 3*y**3 as c*y**2 + b + o*y**3 + t*y and give c.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 3*b + 4. Let d be 12\/24 - 19\/2. Let u be (-3)\/9 - 39\/d. Let x be c(u). Let j(o) = -o**3 - o**2 + o + 4. Give j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2 + 2)*(-5 + 0 + 4) - 1 + u + 1 + (3 + 1 + 787*u - 791*u)*(-3 + 1 + 3) + (-u + 2 - 2)*(0 - 2 + 4).\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -x + 3. Let l = -143 + x. What are the prime factors of l?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2\/2 - a + 16. Let t(p) = -2*p + 5. Give -4*g(y) - t(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.75 - -867.75. Let y = 862.702 - w. Round y to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133319154227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25038 is divided by 491?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-18))\/(-23)*27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-95))\/(16\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*p**4 - 47706*p**3 + 2166785*p**2 - 2.\nAnswer: -1512*p - 286236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*i = -t - 22, 3*t + i - 48 = 0. Let a = t - 12. Suppose -2*b + 4*f = -122, -a*b + 365 = -4*f + 30. What are the prime factors of b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1116 - -1114. What is the fifth biggest value in -6, w, 1\/6, 0.2, -0.004?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = -4*w, 1 = 39*m - 38*m + 5*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -64 + (-4 - -2). What are the prime factors of r\/(-6) - 6\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10201 + 2*o + 10276 - 20509 - 13*o.\nAnswer: -11*o - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.2, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/5 + 16976*i**4\/5 - 85130*i**3.\nAnswer: 2*i**3*(i - 25)*(i + 8513)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 z when four letters picked without replacement from uuuuzzuuuu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 6 - 6 = 0. Suppose 2*j + 4 = -4, -2*h - j - 28 = k. Let w(v) = v**2 + 4*v + 15. Let o be w(h). What is o rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21312 + -21312. Solve -2*u + 10*z - 5 = 13*z, g = -2*z - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 15*r + 30 = -5*f, 0 = -4*r + 2*f - 48. Let w be (-70)\/(-25)*(-5 - r). Calculate the highest common factor of 224 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 385 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(36)\/sqrt(3) + sqrt(9)\/((sqrt(3) + sqrt(75))*4).\nAnswer: -95*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4884.37 to the nearest ten.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-1 - (2 - 5). Let i(q) = w*q - 2*q + q - 2*q. Let u(k) = -3*k**2. Give u(i(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6192 + 446 - 6480 + 1328 - 1306)*(c - 4*c + 4*c).\nAnswer: -12204*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3234, -12860, -28880, -51294?\nAnswer: -80102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60, -121, -182?\n\"Answer: -61*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*l**2*o + 32*j**3*l*o**2 - 2*j**3 - 9*j**2*l**2 - 3*j**2*o**3 + 8*l**2*o**3 wrt l.\nAnswer: -2*j**3*o - 18*j**2 + 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/110 and -79\/1680?\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*2*-2)\/(1*(-1*sqrt(720) - sqrt(720))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/60*-32*25\/(-2800).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 82, 76, 68?\n\"Answer: -q**2 - q + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(98)))**2 - ((sqrt(12)*-1)\/sqrt(6) + -4).\nAnswer: sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136185 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 133\/(-28))*(-8)\/(-6). Factor 0*k - o*k**3 + 0 + 1\/3*k**2.\nAnswer: -k**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 5008?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**31\/k**(-11) assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o + 6. Let s(d) = -7*d - 3. Suppose -1605 + 1528 = 11*u. Calculate u*s(z) - 3*y(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -25*i**7\/21 + 14*i**3 - 75*i**2. Differentiate g(z) with respect to z.\nAnswer: -1000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 27*g + 489. Let w be f(-18). Solve -n - 15 = 11*q - 7*q, -w*n + 15 = -3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574 is divided by 785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 267588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19093 times 198?\nAnswer: -3780414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 17*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5454*k + 10908. What is x(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*2*(24\/84)\/((-108)\/(-63))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*l - 16 = 0, 296*i - 301*i + 16 = -3*l. Solve i*c + 12*c - 60 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:21 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttnntttttnnttrntttn. Give prob of sequence tnrt.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1544226 - 0.1\nAnswer: -1544226.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23316835621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 927963*v - 5567774. What is y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 + 0 - 4)*(0*x - 4*x + 3*x) - 85*x - 75 + 83*x + 22)*(-1 + 1 - 2*x**2).\nAnswer: 8*x**3 + 106*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4733 - 4271. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(870\/(-15225))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(1*(0 + sqrt(833)))**2 - (-4 + (1 + sqrt(833) + -1*sqrt(833) - sqrt(833)))).\nAnswer: -14*sqrt(17) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*t = -7, 0 = 4*w + t - 4*t - 31. Suppose -v + 123 = w*o, v = -o - 2*v + 17. Suppose -a = -3*a + o. Solve 0 = -0*k - 4*k - a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 8) to base 16.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2895109 is divided by 964983?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 2*s + 3*s)*(-5*s**3 + 3*s**3 + 0*s**3) - 4*s**4 + 2*s**4 + 0*s**4 + 5*s**4 - 6*s**4 - 2*s**4.\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319605 and 408.\nAnswer: 43466280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 840861.7 milliseconds?\nAnswer: 840861700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 4*r**3 + 4*r**3)*(42*r - 42*r + 7*r**2) + 9*r + r**5 - 9*r.\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 40 = -50 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 12 - 12. Let k = 61 - 62. Let t(w) be the second derivative of w**4\/12 - w**3\/6 - w. Give k*v(r) + 3*t(r).\nAnswer: 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221932484 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-20)\/(-15) + -1 + -1). Suppose -h + 4327 = -4*z, -s*h = -8*h + z + 21597. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72.65 - 188.2. Let y = -118 - g. Let z = y - -2.45001139. Round z to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 20724736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*q*u**2 + 141*q*u - 27*q - 88727*u**3 + 706 wrt u?\nAnswer: -112*q - 532362*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 908689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3225.4756 rounded to the nearest ten?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -39514.\nAnswer: -3951.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 9*z - 8 = 4*z, -2 = n - 2*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 1245*h + 399043. Is q(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.1 * -0.3463.\nAnswer: -0.72723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 99*z**2 - 1831*z + 8294. Calculate k(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(612)*-4 + sqrt(612))**2 + -5.\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351408.\nAnswer: 2, 3, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -8 + 2 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 1, z: 3, w: 7}. What is prob of picking 2 w?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/8 - 3\/8. Let d = -0.05 + 2.05. Suppose -8 = -h + t - 4*t, -2*h = 3*t - 13. What is the closest to h in 0, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 + 8 - (-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -6. Let m be -70 + 0\/(l + 2). Calculate the common denominator of 2\/5 + (-192)\/m and 89\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let n(s) be the second derivative of 7*s**4\/4 + 4*s**3\/3 - 2*s - 497. Determine r(n(w)).\nAnswer: -21*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -13*p + 9*p - 466, 0 = 3*h - 2*p + 659. Which is smaller: -220 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -21.\nAnswer: 73\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 20 + -16 + 5 + (1 - -5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h*l**4 - 176*h*l + h*o - 33*l**4*o wrt l.\nAnswer: -60*h*l**2 - 396*l**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjjjjj. What is prob of sequence yy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 2565*b**2 + 33*b**3 + b - 2566*b**2 - 40*b - 32*b**3 + 4 to the form r*b + m*b**2 + d*b**3 + s*b**4 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/35 - 12\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*13\/1638*14 + (-69)\/(-297).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276 - -281. Solve 0 = l*u + 3*u + 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + -99 - (-8 + -13).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/25, 0.1, -9.7, 0.3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04422 + -4199.64422. What is m rounded to the nearest 10?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270460499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 1483700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*r - 4*m, 3*r = 5*r + 2*m + 6. Let w(i) = -i**r - i + 2*i**2 + i. Let y(p) = -14*p. Give w(y(x)).\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3 - (-6)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2. Let r = 35\/12 + -65\/24. Let n(f) be the third derivative of -f**2 + 0*f + 0 + 0*f**3 - r*f**4. Calculate m(n(z)).\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64\/3 - 85\/4. Let i(g) be the third derivative of 0 + 0*g + 1\/30*g**5 - 1\/180*g**6 + 1\/9*g**3 - 2*g**2 - w*g**4. Factor i(m).\nAnswer: -2*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.4, -5, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:02 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 13*m + 338. Calculate the common denominator of 157\/30 and (5*(-68)\/m)\/32.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*x + 0 = 2, -2*o - 4*x = -44. Let n = -35 + 39. What is the least common multiple of n and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -528 + 526. What is the closest to x in 2\/11, 4, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 1 + 164*p**2 + 25*p**2 - 31*p**2 + 0. Let d(o) = -2*o**2 - 2*o - 2. Let l be d(0). Is g(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/(k\/k**(2\/7))))*k\/(k*k\/(k*k\/(k*(k\/k**(-1\/6))\/k*k)*k)*k)*k**(2\/5)\/k**(-6)*(k**(-1)\/k)**(-47)\/(k**(-1)\/(k*k**(2\/13)*k)) assuming k is positive.\nAnswer: k**(280297\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977, -2012, -2055, -2112, -2189, -2292, -2427?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 + -13152?\nAnswer: -13264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 1.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3)\/o)**(-4\/3) assuming o is positive.\nAnswer: o**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0*r**5 + 0*r**4 - 3*r**2 + 1\/2*r**3 + 0*r - 1\/40*r**6 + 0. What is the derivative of d(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16)*-10)\/(((-343125)\/(-1080))\/(-305))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*3*8\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (127\/(333375\/(-175)))\/((-2)\/36)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 1, g: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(-2*(sqrt(52) + sqrt(312)\/sqrt(6)) + -3).\nAnswer: 15 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -5 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 572?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 786, 2616, 6176, 12042, 20790?\nAnswer: 32996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29055*a + 29024*a - 496 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w**3 + 912*w**2 - 134*w - 418. What is m(70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*g + 18*g**4 - 10 + 10 wrt g?\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 516455 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7 + 128\/7*l**4 + 60\/7*l - 46\/7*l**2 - 160\/7*l**3.\nAnswer: 2*(l - 1)**2*(8*l + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 4a?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222\/19 or -2.741?\nAnswer: -222\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1351 or 29719\/22?\nAnswer: 1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 7, -2, -5, -41, -12 in ascending order.\nAnswer: -41, -12, -5, -2, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 69.29382 and -22.461?\nAnswer: 91.75482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -20*l + 16*l. Solve 4*c = 2*c - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/12 - 13*p**2\/2 + 311*p\/3 + 234 = 0. What is p?\nAnswer: -2, 26, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14415563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.36 * 172.\nAnswer: 61.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.11, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/4 - 5*t. Let m(g) be the first derivative of g**2 + 2 - 2 - 2. Calculate f(m(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8452066 to the power of 1\/2, to the nearest integer?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k + 50*k - 13*k + 126 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 1. Let q be o(2). Let g be (4\/15)\/(1\/q). Find m such that 1\/3*m + m**3 + 0 - g*m**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n**2 + 116*n**2 - 57*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42 and -5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 74*x - 69 = -a + 73*x, 9*a + 224 = -a + 4*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1017345 and 720.\nAnswer: 48832560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, t: 1, g: 11}. What is prob of sequence ddgt?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 2*g**2 - 8*g - 8. Let w be s(6). Suppose 77*z - w*z + 6479 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 107, 122?\n\"Answer: 15*u + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32197747*q**3*r**3 + 7*q**3*r**2 + 11*q**3 + q**2*r**2 + q*r**2 - 5*r - 16 wrt r.\nAnswer: 193186482*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6198.11896 rounded to the nearest 10?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 - -210. Is u smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d - 100. Let h = -60 - -89. Let f = h + d. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697386 divided by -116231.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 283864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/197 or -1?\nAnswer: -3\/197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 119 + 496 = 160*x + 41*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (-2*sqrt(242) + 0) - sqrt(242)) + 5)**2 - (3 + 2 + sqrt(242))*1.\nAnswer: 209*sqrt(2) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 615 - -138. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 t when three letters picked without replacement from {v: 2, t: 2, h: 1, z: 7, c: 8}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhnhzhuhuujjnuuzu. What is prob of picking 2 u and 1 j?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 32 = -4*r, -4*n + 4*r - 6 = 6*r. Put 0, -2, n in descending order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 4:31 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -3*o**5\/20 + o**4\/4 + 2*o**3 - 6*o**2 - 24*o. Factor h(k).\nAnswer: -3*(k - 2)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -150*d. Let z(g) = -7*g**2 + 173371*g. Give z(x(h)).\nAnswer: -157500*h**2 - 26005650*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27624.0036969 - -27624. Let j = t + 0.0038. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o + 14. What are the prime factors of 0 + (-1 - -5)*o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 10*d - 2. Let k be l(-10). Let n be k\/(-6)*12\/2. Suppose -n*v + 0 = -2. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430 >= 9536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 30*h - 123*h**3 + h**4 + 65 + 33*h in the form t*h**2 + u*h + k*h**3 + g*h**4 + p and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5492, 10544, 15596, 20648, 25700, 30752?\n\"Answer: 5052*x + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(162) + 5*(-1 + sqrt(162)) + sqrt(162)).\nAnswer: -25 + 315*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740865295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + 23*d - 3. Let u(g) = -21*g**2 - 123*g + 15. Let p(k) = 2*u(k) + 11*x(k). Suppose 5*b = -30 + 10. Let w be p(b). Solve w = 2*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gauggvggcgguagaggggc. Give prob of sequence gaca.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 5. Suppose -q - v = -3*q. Solve 0 = -3*j + 5*c - 1, 3*j + 2*j - q*c - 7 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-10))\/(-2)*-5. Let o = 2.2 + -2. Let i = 87689 - 87688.8. Which is the closest to o? (a) h (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 121 - 2*x + 2*x**3 + 3*x.\nAnswer: 2*x**3 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 - 4048*f + 47139456 = 0. What is f?\nAnswer: -3976, 2964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 197, 1\/3, -1\/4?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1520876, 3041752, 4562628?\nAnswer: 6083504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 65*y + 3*f - 389 = 0, 3 = -3*f. Calculate the greatest common factor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hffv when four letters picked without replacement from {v: 1, t: 1, f: 2, h: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*9\/6. Let b be (4\/8)\/(n\/8). Suppose -b*y + 88 = 4*m + 2*y, -3*m + 38 = -4*y. Find the common denominator of 40\/7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 1195. Suppose 0 = 5*h + 50 - p. Is (-2)\/(-7) + h\/7 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {i: 2, a: 4, m: 1, k: 3, q: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1882 is divided by 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2412 and 20700.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from eyfyfefeyeeyefyye.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 0.2, 5, -2, 0.04?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 0*i + 6*i**2 + 1\/12*i**4 + 0*i**3 + 0 + 1\/12*i**5. Let p be f(-2). What is the greatest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g**2 - 133*g + 12. What is i(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119484426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 - -3. Let t(s) = s**3 - 3*s**2 - s + 3. Let k be t(4). Let h be 3*(4 + (-50)\/k). Which is the closest to h? (a) v (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860824 to the power of 1\/2, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0113*5\nAnswer: 0.0565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 1980 = 5*x. What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:51 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -256131 and -1.047.\nAnswer: 268169.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 5. Let n(c) = c**2 - c - 1. Suppose -j + 10 = t + 12, -5*t + j + 20 = 0. Determine t*n(w) - k(w).\nAnswer: 3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54212075.\nAnswer: 5, 2168483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 122 = 2*x, -2*x = 8*z + 1035 - 785 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 33. Suppose 2*o + 52 = -f*q, 7 = -3*q + 2*o - 18. Which is the biggest value? (a) 5 (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 - 67*b**2 - 83*b + 2?\nAnswer: 12*b**2 - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188971*g**3 - g**2 + 61368*g + 1 wrt g.\nAnswer: 1133826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 7. Let u(n) be the third derivative of -4*n**2 + 1\/12*n**4 + 2\/15*n**5 + 1\/6*n**3 + 0 + 0*n. Let s be u(-1). Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 7*g**6\/30 - g**5\/60 - g**4\/24 + g**3\/6 - 2*g**2. What are the prime factors of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 16) to base 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 1. What is the remainder when ((-1098)\/(-183))\/((-3)\/(-35)) is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 5*r**2 + 13*r - 34. Let k be o(4). Solve 3*u = -15, 10 = -7*y + k*y - 3*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 31 - 83 = 31*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 at most as big as 2306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/570285 and 109\/36540.\nAnswer: 15967980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 395713.3 years?\nAnswer: 395.7133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*v - 24 = 0, -85 = 20*d - 459*v + 464*v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 - 18\/(-6). Let g(q) = q**2 - q. What is g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from fffffffffffzffffff?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024003 (base 5) to base 3.\nAnswer: -212211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u + 13. Let k(h) = 2*h - 6. Let m(r) = -r**3 - 6*r**2 + 7*r + 9. Let o be m(-7). What is o*k(b) + 4*j(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 17 - 3. Sort 4, m, 1, 9.\nAnswer: 1, 4, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(12)\/sqrt(6)) - (sqrt(405) - (sqrt(405) + (sqrt(405) + 2*sqrt(405) - sqrt(405)) + sqrt(405)) - sqrt(5))**2.\nAnswer: -3920 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 50.39303.\nAnswer: 25.196515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 19*d - 38. Give b(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1611*x + 824 + 3719 - 583 wrt x?\nAnswer: -1611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -1, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.655 + -0.245. Let d = i + 15. Is d equal to -0.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18))**(-18) assuming z is positive.\nAnswer: z**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 - 2*b + 2. Let u be p(2). Let g = 217 + -215. Suppose -5*z + g*r = -160, -r = -3 - u. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 15*f + 95 = 0, 4*s + 74*f = 71*f + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 14*g - 24. Let o be i(10). Let h = o - -51. Suppose 4*j - h = -5*d, -d = -4*j + 71 + 102. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359805.4kg to milligrams.\nAnswer: 359805400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/1234 and -65\/14?\nAnswer: 8638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 7:44 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*d**3 + 53*d**3 - 162*d**3.\nAnswer: -364*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j - 154 = -o, 5*o = 3*j + 698. Suppose o - 22 = -4*i. Let r be 4\/(-1) + i\/(-7). What is the nearest to 0.1 in 1, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23401154 (base 7) to base 6\nAnswer: 112152352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = 248*u + 37*u - 67*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -7*r**4\/4 - 14*r**3 + 490*r + 746. What is the first derivative of k(v) wrt v?\nAnswer: -21*v**2 - 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 376, -4, 34, 12, 3.\nAnswer: -19, -4, -2, 3, 12, 34, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s - 1. Let p(y) = 48*y**2 + 42*y - 42. Let x(q) = -2*q**3 - 62*q**2 + q + 33. Let u be x(-31). Calculate u*p(z) - 84*j(z).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6834439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -14. Let m(w) = -w**2 - 4*w + 3. Let p be m(u). Let z(x) = x**2 - 2. What are the prime factors of z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11082311747 - 251.4.\nAnswer: -11082311998.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 0*s - s)*(s**2 - 13*s**2 + 71*s**2) to v + m*s**3 + c*s + h*s**2 and give m.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*v + 109*v - 2*f - 18372 = 0, -5*v + f + 45934 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-5)\/(-6))\/((-45)\/54)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -2*s, 0 = -3*s + 517*o - 521*o + 22. Suppose 2*t - 4 = t. Let r(d) = -d**2 - 3*d + 1. Let u be r(-3). Sort -1, s, u, t in increasing order.\nAnswer: -1, u, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490186928 a multiple of 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*w = b - 10, -w = 0. What is the tens digit of (-303)\/b + 168\/(-30) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227 (base 13) to base 14.\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (0 + -7 - (-12 - -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 951 - 19117?\nAnswer: -185a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*f = -173*f + 1. Factor 0*q + 3\/4*q**2 - 1\/4*q**3 - f.\nAnswer: -(q - 2)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 24*h**2 - h - 3. Suppose -2*f - 5*y - 5 = -31, -3*y + 3 = -3*f. List the prime factors of q(f).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y - 3*t, -3*y - 2 = 2*t + 2. Let s(b) be the second derivative of b**4\/6 - b**3\/2 - 3*b**2\/2 + 58*b. Give s(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrnrnrnnllnnlnr. Give prob of sequence rn.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5425057 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 266 - 279 = 5*o - 346, -3*l - 91 = 2*o for o.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*f - 8, -4*q + 4*f + 13 = 5. Let a = -4 + 0. Put q, a, 5 in increasing order.\nAnswer: a, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 7 - (10 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -656.\nAnswer: -262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4365 is divided by 2173.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-20) - 19\/(-4). Suppose 4 = 2*y - a*u, -y - 18 = -3*y - 2*u. Suppose -y = -5*j + 3. Sort -2, 6, j in decreasing order.\nAnswer: 6, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 3, r: 2, f: 1, n: 1}. Give prob of picking 1 t, 1 f, and 1 o.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.28 less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-63)*12*(1 + 1 + -11). Solve -g*l = 10*l + 44 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -103. Let t(c) = 6*c + 6. Is t(n) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*g*m**2 - 5*c**3*m**3 - 3*c**2*g*m**3 - c**2*m**3 + 3*c*g*m**3 + c*g wrt c?\nAnswer: -24*g*m**2 - 30*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28495557 to the nearest integer?\nAnswer: 5338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7524838?\nAnswer: 2, 37, 61, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + 15 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 3*y - 3. Let q be (-4)\/(-16)*-2*-2. Let u(f) = 2 + 2 - 5 + f + f**2 + 2. Determine q*x(h) + 3*u(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 43. Suppose 6*a + d - 40 = 0. Suppose 0 = a*n + m - 1045, -2*m + m = -4*n + 836. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -8. Let x be (1 - 2) + (3 - 11) + 15. Solve -5*t - 2*d = -2*t - x, -4*t = 3*d - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*v = -594, 19*r + 2*v - 911 = 16*r. List the prime factors of r.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577 divided by -577.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111001120000 - -12?\nAnswer: -111001112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0*n + n - 1)*(2*n**2 + 3*n**2 - 3*n**2)*(-2*n**2 + 7*n**2 + 0*n**2).\nAnswer: -10*n**5 - 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251914.59 rounded to the nearest 100?\nAnswer: 251900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -60180 to the nearest one thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 304129891 divided by -1\nAnswer: -304129891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*h - 3*h**4 - 22*h**4 + 8*h + 2 - h wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v - 2. Let l(w) = 2 + 2*w + 0 + 5*w. Let y = -10 - -16. Let h(n) = y*t(n) + 7*l(n). What is the derivative of h(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -24, -30, -32?\n\"Answer: 2*o**2 - 16*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 426646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + d**3 - 5 + 3 - 8*d - d**3 + 8*d + (2*d**2 - 4*d**2 + d**2)*(1 + 2*d - 1).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1749420, -1749407, -1749382, -1749339, -1749272?\n\"Answer: p**3 + 6*p - 1749427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 26 = 3*o - 4*p, -4*p = -o - 14. Let n(x) = -x**2 + 6*x + 5. Let c be n(o). Suppose -2*s + 8 = 4*i, 5*i = -5*s + s + 16. Solve s*b - c*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 41*s**4\/4 + s**3\/2 - 333*s**2\/2 - 7*s - 90. Find the first derivative of p(l) wrt l.\nAnswer: 246*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136a665 - 4?\nAnswer: 136a661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 24, -1\/3, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-6))\/(22\/33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*k**2 + 836*k + 4*k**4 - k**3 + 4 - 4 - 834*k to the form d*k**4 + p*k**2 + x + q*k + t*k**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/13, -0.3, -3\/5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-45))\/(6\/135). Solve x + u = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -570232 or -570238?\nAnswer: -570232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 27*h**2 + 73*h + 19. Give y(-24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19472 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -176*q + 10067. Calculate l(57).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 7. Let g be f(-5). Sort -0.01, g, 3 in decreasing order.\nAnswer: 3, g, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -803321, -1606645, -2409969, -3213293, -4016617, -4819941?\n\"Answer: -803324*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 15572?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 707*u = 660*u + 235. What is the greatest common divisor of 41 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1803940528 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 79\/6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4\/7 + 1755*n**3\/7 - 3*n**2\/7 - 1755*n\/7 = 0. Calculate n.\nAnswer: -585, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(-6 - (-57)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2627 - -7990. Is 29 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-8)\/(-12))\/((-40)\/354) and (0 + 113)*(-2)\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1736 - 1731. Solve 10*a = -j*a + 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.318 + -2.318. Let l = -2 - -1.5. Let p = -11 + 15. What is the biggest value in l, 0.4, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/((-2)\/20). Suppose 8*p = 4*v + r*p - 12, 0 = 4*p. What is the smallest common multiple of v and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 5) to base 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 + -158. Suppose -2*m + k + 414 = 0, 6*m = f*m + 3*k + 830. What are the prime factors of m?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-660 + 1377 - 672)*(119*f**2 - 2*f**3 + 16*f**3 - 121*f**2) in the form p*f + c*f**2 + z + m*f**3 and give m.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 8130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and 95\/3378.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3572 is divided by 667.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1463*h**3 - 5779*h**3 + 1403*h**3 + 1453*h**3 + 1463*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**4\/12 - c**3\/3 - c**2. Let k(j) = -j + 1. Let q(d) = 13*k(d) + 6*w(d). Let n be q(-3). Solve 2 = -n*i - 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -12 + (37 - 15).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/8)\/((-333)\/37)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(279\/12)*420\/112.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7171 divided by 877\nAnswer: 7171\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3*d - 11*d + 1.\nAnswer: -8*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -263, -265, -267, -269, -271, -273?\n\"Answer: -2*f - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458231061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4015 - 3378. Which is smaller: 4455\/7 or i?\nAnswer: 4455\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -11, 1\/28, -27\/4, -0.2, 1?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*(y**8*y)\/y*y)\/y*y**(-5\/6))\/(y**(-2))**(15\/7))**(-8\/7) assuming y is positive.\nAnswer: y**(-2428\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 2\/63, 4\/7, 0.03, 6\/5, 943, 0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - 4*d + 22 = 0, 0 = s + d - 8. Suppose -h + p = -46, -2*h + 97*p - 96*p + 96 = 0. What is the smallest common multiple of s and h?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1060 + 1315. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 + -189. Let r = d + 131. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c + 8. Let s(o) = o**2 - 2*o + 9. Let i(u) = 6*s(u) - 7*w(u). What are the prime factors of i(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 6 + (-6 - 13) + (0 - -34)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 21330032331?\nAnswer: -21330032330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*c = c - 21, -3 = -3*c. Suppose -2*i + 1 + u = 0. Let r(q) = 1 + 25168584*q - 1 - 25168585*q. Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 4*i - 5*i - 4 - i. Let b(w) = -2*w + 5. Let a(t) = 3*b(t) + 4*p(t). Let s be a(2). Solve -2*m - 4 = g, -4*g + 4 = s*m - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, t: 6, q: 3, v: 2}. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/7 - 24\/56)\/((-16120)\/2821).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 - 108*x**2 - 114*x - 6. Let w be a(-1). Solve -w*s = 16, -u + 3*s = 2*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*v**5 + 21*v**4 + 17*v**2 + 70937*v wrt v?\nAnswer: -660*v**3 + 252*v**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4, -6\/3931, 3, 1\/5, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, 0, 4, -3, 9, 1 in decreasing order.\nAnswer: 9, 4, 1, 0, -3, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325345404 to the power of 1\/3, to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 525?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - 5*k**2 - k - 1. Let s(o) = -2*o**3 + 4*o**2 + o + 1. Give 5*s(x) + 4*t(x).\nAnswer: 2*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 6*q**2 - 2*q + 9. What is p(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1. Let i(y) = y - 6. Let o(q) = -6*a(q) + i(q). Let j(u) be the first derivative of 5*u**2\/2 - 2. What is j(w) - 2*o(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 7684464.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2322*d = -4*z + 2320*d + 10, 5*d = 2*z - 23 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -993 + 998. Let v(l) = l**3 - 8*l**2 + 3*l + 4. Give v(i).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1552 (base 10) in base 11?\nAnswer: -1191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998566215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkkkukk. Give prob of picking 4 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.3 - -12. Let k = -0.05 - -0.75. Let o = r + k. Which is greater: 1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, e: 7}. Give prob of picking 3 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 134475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (85\/12 + (-2)\/6)*(-8)\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-4\/3)*x*x*x\/(((x*x**(1\/3)\/x*x*x)\/x*x*x)\/x)*x**(1\/11)*x**(-1\/5) assuming x is positive.\nAnswer: x**(159\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 + 4. Let g = p - 4.2. Let w(i) = -i**2 + 69*i + 294. Let x be w(-4). Which is the nearest to 1\/4? (a) x (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 4, 0.1, 5 in descending order.\nAnswer: 5, 4, 0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -92, -169, -284, -449?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(18\/33) + (-8)\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y**2 + 6*y + 3. Let p be ((-5)\/2)\/5*-2. Let o = p - 7. Determine v(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40859664 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 952122 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - 1b456?\nAnswer: -1b469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4.97. Let k = 3.97 - v. Which is the nearest to -2\/5? (a) 0 (b) -4\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 241*l**2 + 104*l + 1867. What is u(120)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-70) - (2672\/(-80))\/167?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l. Let u(c) = 16*c + 1. Let n(a) = -2*s(a) + 3*u(a). Is n(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 14*t + 14. Let s be r(-13). Sort 5, s, -4.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775299641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 9*n - 19. Calculate i(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2459094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169 - 164. What is the second biggest value in u, -1\/4, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-9))\/3)\/((-1)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-699)\/699)\/((-2)\/44)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by -4\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2 + 15*c - 6. Let a(r) be the first derivative of r**3 - 7*r**2\/2 + 3*r - 10. Let w(m) = -5*a(m) - 2*v(m). What is w(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52622, 211629, 476634, 847631, 1324614, 1907577, 2596514?\nAnswer: 3391419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8821e0 + 5?\nAnswer: 8821e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51700 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22888 + 1021?\nAnswer: -21867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:13 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*4*(-12)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312132323022 (base 4) to base 9.\nAnswer: 28777740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d088 (base 16) in base 14?\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, h: 6, t: 6}. Give prob of sequence ht.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 4, q: 4, b: 2, f: 9}. Give prob of picking 1 b and 1 f.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - -0.14366\nAnswer: 0.11366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(3\/8)\/(3\/4). Suppose -4*i - 2*a + 72 = 2*a, -2*a = y*i - 72. Calculate the greatest common divisor of 81 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 22 = -16. Suppose -j - 3 = -2*q - t*j, 2*j + 9 = q. Solve -v - s = -5*v + 12, 4*s = q*v - 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 262480 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**4\/24 - s**3\/6 + 39*s**2. Suppose 0 = 17*g - 70 - 151. What is t(g)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let m(z) = -2*z + 680. Calculate m(u(b)).\nAnswer: -4*b**2 + 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 83, 81, 79, 77, 75?\n\"Answer: -2*j + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + o**2 + 131*o - 2 + 6*o**4 - 137*o - 12*o**4 in the form f + u*o**4 + t*o**2 + v*o**3 + n*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/6 + 791*q**4\/3 - 665659*q**3\/6 + 5113641*q**2 + 53119392*q + 110318544 = 0. What is q?\nAnswer: -6, -3, 63, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 70.43. Let o = -0.07 + n. What is the closest to -1 in -4, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52501 or -52499?\nAnswer: -52501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/102 + 5*m**3\/51 + 6*m**2\/17 - 19*m + 4. Let y(b) be the first derivative of i(b). Factor y(r).\nAnswer: 2*(r + 2)*(r + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44.4 - -28.3. Let z = u - -16. Which is the closest to z? (a) -0.01 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 27*z. Let i(x) = -x**2 - 10*x. Give 19*i(m) - 6*v(m).\nAnswer: -m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/7)\/(((-1809)\/189)\/67)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) 2 (c) -14.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -13 - (-3 - -1) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/32*0\/((171\/(-19))\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1, x: 4, k: 4, f: 2, e: 3}. What is prob of sequence ok?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.72 times -45?\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(176)*1 - sqrt(176))**2 - sqrt(176))*6.\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6*m + 5)*(0 + 3 - 4) + 2*m + 4*m - 4*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 - 2586*n**2 - 528273*n - 525690 = 0 for n.\nAnswer: -531, -330, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 120 = 8*u. Suppose -4*y - 2*z = 2, -7*z - 5 = -2*z. Suppose x - 2 + 0 = y. What is the greatest common divisor of x and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqqq when four letters picked without replacement from qqqpwpcwppjjjpqpj.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/3 + 70*u**4 - 5798*u**3\/3 + 15666*u**2 + 23224*u\/3 - 63784 = 0.\nAnswer: -2, 2, 17, 21, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 449512\nAnswer: 43\/449512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*o + g - 69, -2*g - 82 = -4*o. Calculate the highest common factor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 43 + 72*i + 9*i - 43*i. What are the prime factors of z(6)?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooouoooouoouuouu. Give prob of sequence uou.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 20. Let m(k) = k + 9. Let v be m(-3). What are the prime factors of p(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4 - 7552*t**3 + 467881*t**2 wrt t?\nAnswer: -24*t - 45312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*r - 252*r - 7 - 13 + 2*r**3 + 4.\nAnswer: 2*r**3 - 305*r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -2, -24, 6, 16, -6 in ascending order.\nAnswer: -24, -6, -2, -1, 6, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:42 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**3\/3 - 2*b**2 - 2*b - 3. Let q(s) be the first derivative of x(s). What is q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 2808. Let j(d) = -51231*d**2. What is y(j(g))?\nAnswer: -102462*g**2 + 2808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4030, 8168, 12306, 16444, 20582, 24720?\nAnswer: 28858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/7 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36279 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 204 - 2544\/5*s.\nAnswer: 3*(s - 170)*(5*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0105 from 653705.\nAnswer: 653704.9895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7807274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4*4\/(-192))\/(399\/3192)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3562189, 7124376, 10686563, 14248750, 17810937?\n\"Answer: 3562187*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23510 = -3*h - 13306. Is h\/(-14) - 21\/(-49) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12700 by 50.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 87549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g + 136. Let l be r(9). Solve -29 = 2*q - 4*n + 9*n, -l = -2*q + n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 7*w - 22. Let q be l(14). Solve 0 = -73*f + q*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 1, i: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39559903 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333270 divided by -30?\nAnswer: -111109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42, 3, 2, 8.\nAnswer: -1, 2, 3, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 19, 86, 233, 490?\n\"Answer: 5*x**3 - 5*x**2 - 3*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-4)\/(12\/(-9)). Let w be (-2)\/(-3) + (-384)\/f. What is the greatest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 128 = -12*x, -y + 50*x - 37*x = 12*x + 24 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -420, -670, -924, -1182, -1444, -1710, -1980?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 - (47 + (-61 - -24) - 14)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*3 + sqrt(24))\/sqrt(12)*-5)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 3*t**2 - 3*t - 12. Let o be m(5). Suppose -b + o = -47. Suppose 95 = 7*q - b. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24578*s**2 + 98259*s + 9. What is p(-4)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9367 + 9487. Calculate the smallest common multiple of 23 and w.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151480 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -90\/19, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1588, 2619, 3650?\n\"Answer: 1031*y + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = -38*s - 112. Is -1474 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -62. Let q be 3*(-8)\/(-3)*782\/184. Calculate the greatest common factor of b and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7 = 1. Suppose -3*m - 3*l + 9 + 3 = 0, -o*l + 8 = 3*m. Solve -5*u - 15 - 5 = m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1764 + -351049\/199. Find the common denominator of -22\/1393 and b.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/9 - 11*s\/9 - 10\/3 = 0.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 624 - 31201\/50. Let x = -3110\/7 - -443. Calculate the common denominator of n and x.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tosskotksokoocktkk. Give prob of sequence tco.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and 95\/373874.\nAnswer: 747748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*g = -73*g + 1312 - 8088 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 11097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 + 190 - 190 + 0*q**2 + 152*q to the form r*q**2 + w + y*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/132 and -155\/103486944.\nAnswer: 103486944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*y + 8 = 3*y, 0 = -y - 2. Let b(w) = -24*w - 126. What is b(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 917982 (c) 4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*n + 1, 5*g = g + 4*n + 32. Suppose 7 + g = 2*t. Suppose -4*k + 6*k + 73 = t*c, -2*c - 5*k = -6. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 3*i**2 + 0*i**2)*(5 - 2 - 4)*(-51*i**2 - 881 + 881) - 2*i**4 + 2*i**4 + 12*i**4.\nAnswer: -39*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*1)\/(3\/(-6)). Suppose -k - 1 = w, -3*w - 6 = -0*k + i*k. Suppose 0 = 5*z - 63 + k. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**8\/1680 + t**7\/1050 + t**6\/600 - t**5\/300 - t**2 + t. Let u(s) be the first derivative of n(s). Factor u(w).\nAnswer: -w**2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 96 - 132 = -g, -66 = -3*g + f. Solve q - 4*v - g = 5*q, 27 = -5*q - 4*v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 849 + -848. Put t, 3, -105 in increasing order.\nAnswer: -105, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-40 + 26 - -3 - -12) - (-42 - -1).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 3569*z - 3564*z. Let u(w) = -w**2 - 13*w + 14. Determine u(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-3)*x**(6\/5))**(1\/3) assuming x is positive.\nAnswer: x**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooytyvftuff. Give prob of picking 1 f and 1 o.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130130 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 23.13. Round t to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-206)\/(-3) + 19\/57.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 45 = -0*k. Let w be (72\/(-10))\/(1\/(-10)). Let s = k - w. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 1, m: 4, v: 1}. Give prob of picking 2 m and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*j + 8*j - 8*j + (0 - 3 + 4)*(0*j + 3*j + 3*j))*(-3*j + 5*j + 0*j) to i + h*j**2 + y*j and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 + (-6)\/(-9). Suppose -2*z = -b*z - 2*l - 66, -4*z - 5*l = -150. Suppose 0 = 3*x + 2*x - z. Solve x = -3*t - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4143 is divided by 821?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 - 313 - v - 60 - 93 to the form h*v + s and give s.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 5 (c) 0.02 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(3*i**3 - i**4 - 3*i**3) + 3*i**5 - i**5 + 0*i**5 + (-i**3 + 0*i**3 + 0*i**3)*(-2*i**2 + 4*i**2 + 0*i**2).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4315.5 - 2385. Round j to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -777683*y. Let n(f) = -6*f**2. What is l(n(s))?\nAnswer: 4666098*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22407, -44868, -67341, -89832, -112347, -134892, -157473?\nAnswer: -180096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2117 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 38 - (96 + -48)) + -1 + -55?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26803154, -26803158, -26803164, -26803172?\nAnswer: -26803182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:40 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1795*l - 3584*l + 1785*l - 2*l**2 + 6 - 3*l**2. Let p(j) = -6*j**2 - 4*j + 7. What is 4*d(z) - 3*p(z)?\nAnswer: -2*z**2 - 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:41 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:43 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 - -50637.29951?\nAnswer: 50637.17951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 2*k + 1908 = 0. Let b be (12 + k\/(-18))\/(2\/12). Which is smaller: b or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5151 - 4.5651. Which is the third biggest value? (a) j (b) -7\/6 (c) 1\/5 (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 4.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 47 = 15. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.4. What is the second biggest value in -2, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcgmmmgbbmmebecmcccb. What is prob of sequence gbb?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2093 + -1.0361. Round f to two decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 557882.\nAnswer: 25\/278941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/865 and 4\/(-50)*5400\/(-480).\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - 7*y**3 + 3*y**3 + ((-2 + 2 + 1)*(2*y + 3*y - 4*y) + y - y + y)*(0*y + 0*y + y**2).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10391184 is divided by 2078236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1715 - 10265\/6. Let w = p - 14\/3. What is the third smallest value in 8, 4, w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -730 (base 9) to base 8\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuk when three letters picked without replacement from {o: 1, u: 2, p: 1, m: 1, k: 2, j: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8 and 53\/195726?\nAnswer: 782904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -573148, -2292578, -5158292, -9170290, -14328572, -20633138, -28083988?\n\"Answer: -573142*x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*x = 2*h, -2*h + 24 = -4*x. Let f be (-2 + 3)\/(h\/6 - 2). Determine r, given that f*r**4 + 3\/4*r - 3\/2*r**3 + 3\/4*r**5 - 3\/2*r**2 + 3\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 11*q**2 - q - 7. Let w be v(-11). Suppose -a - 21 = -w*a. Calculate the highest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**5 + 37*t**4 + 3*t**3 + 3*t**2 + 16*t + 10?\nAnswer: 480*t**2 + 888*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75643782 to the power of 1\/2, to the nearest integer?\nAnswer: 8697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 7. Let y be r(0). Suppose -y*v - 4 = -11*v. Let a = v + 71. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2\/1)\/2. Suppose 0 = i - 4*i + 6. Suppose 0 = -5*x - 5*a + 55, 0 = -t*x + i*x - 5*a - 5. Solve -2*j = 3*j + x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -361.\nAnswer: 1\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442111 (base 5) in base 12?\nAnswer: 2bb78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = 17*a - 14*a, 5*a - h - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 23*m + 47. Let u be d(-21). Solve 0*a**2 + a**u + 0 + 1\/4*a**3 + a**4 + 0*a = 0 for a.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:40 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1\/15*f**5 + 1\/12*f**4 + 17 + 1\/6*f**3 + 0*f - 6*f**2. What is q(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/((-3)\/(-2)*31\/(1488\/64))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 464\/3 + -2314\/15. What is the second biggest value in -2\/15, y, -3\/4, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1169 - -0.1575. Let h = s - -8.9594. Let r = 2.2 + -2. Which is the second smallest value? (a) 4 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02814 + -0.02809029. Round n to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2. Let n be f(-5). Let t be (0 - 1) + n + 2 - -4. Suppose -i = -5*w + 330, t*w - w - 2*i - 270 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 5*m - 28, -4*n - m - 3148 = -3176 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*d + 68 = -8*j + 750*d, -5*d = 2*j + 61 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 - 18*l - 6. Let n be a(-6). Let m(g) = -g**2 - 10*g - 7. Let w be m(n). What is the highest common divisor of w and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -14, -39, -74, -119, -174?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*r**2 + 71*r**2 + 77*r**2 + 72*r**2 + 73*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r*r\/(r\/r**(1\/7)))\/((((r**(-1\/17)*r)\/r)\/r)\/((r**12\/r*r*r)\/r)) assuming r is positive.\nAnswer: r**(2047\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/2880 + m**5\/160 - 5*m**4\/192 + 16*m**3\/3 + 7*m**2 + 3*m. Let l(n) be the first derivative of k(n). Factor l(b).\nAnswer: -(b - 5)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*9\/(-6)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 1 + u - 5*u)*(-5*u + 4*u + 3*u).\nAnswer: 4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.611 to 1 decimal place.\nAnswer: 23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86480.108707 + 86480.5. Let q = -0.3935 + h. Round q to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 12120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -7*d - 3052. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*r = 13401, -3*r + 2296 = -4*k + 20136. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 464+-12808\nAnswer: -12344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-8) - (6348\/288)\/23.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 5*w**2 + 4*w + 1. Suppose 2*d + 2*d = 2*k + 12, 5*d = -k + 29. Let t be i(k). Let u(l) = 4*l**3 - 2*l**2 + 2*l - 1. Calculate u(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1\/4, 304 in increasing order.\nAnswer: -5, -4, 1\/4, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -153184447236.\nAnswer: -153184447245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2689 - -2689. Which is the third biggest value? (a) -2 (b) 4 (c) r (d) 1\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107513 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1456)\/12480)\/(126\/16).\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*m - 5. Let o be 12 - 6*m\/2. Solve 0*x - o = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -103. Sort n, -4, 2\/5 in decreasing order.\nAnswer: n, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from lmnjbmn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*t**5 + 822*g**3*t**3 + 10*g**3 - 7*g*t - 1 wrt t.\nAnswer: -20*g**3*t**3 + 4932*g**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 731186683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 790 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i**3 + 7*i**2*k*o - 8*i**2*k - 14*i**2*o - 2*i*k*o + 2*i*k - 14*i*o - 2*i + 21*k + 2*o wrt i.\nAnswer: -60*i + 14*k*o - 16*k - 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -5*g + 4511. Let p = g - -133. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1573.6 + 1181. Let t = i - -392.75965. Let p = t - 0.16. Round p to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1416, 1414, 1412, 1410?\n\"Answer: -2*o + 1418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -130*w - 3 + 132*w + 1. Let a be z(5). Solve 5*c - a*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:56 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = 2*s + 4, 5*z + 5 = -5*s. Let d be s - 4 - (-5)\/1. Is 3 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*g = 30, 2*g + 18 = -3*m - 1. Let q(c) = -2*c**2 - 20*c - 39. Let n be q(m). Solve -8*f - 37 = n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.9 + -5. Let p be (-1 - -1) + 6\/27. Sort -5, g, p in ascending order.\nAnswer: -5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204005093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(416) - sqrt(26)) - sqrt(2106)*1)\/((-1*sqrt(12)*4 - sqrt(12))\/(sqrt(216) - (sqrt(216)*1 - sqrt(216)))).\nAnswer: 72*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772*t - 24492 - 18069 = 8827 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-2) - ((-68)\/(-8) - 8). Suppose -4*a + 556 = 4*j, -j - 3*a = -6*j + 735. Calculate the greatest common divisor of g and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*u + 445 = -u, u = 2*m + 181. Let f = m - -164. Let g be (-10 - -13) + (-218)\/f. Is -1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 3*d**2 + 1\/3*d**3 + 0 + 0*d**4 + 0*d + 0*d**5 - 1\/60*d**6. Find the first derivative of j(n) wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 + -0.3. Let q = -23 + 23.3. Which is the second biggest value? (a) 5\/4 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 1. Let g(z) = 2*z**2 + 1. Let q = -60 - -63. Give q*a(o) + 2*g(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:21 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -10 + -7 - -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 5) to base 3\nAnswer: -10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160, -478, -896, -1414?\n\"Answer: -50*b**2 - 168*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + 0.5. Let g = 0.39 + 0.01. Put g, -0.4, s in descending order.\nAnswer: g, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 420 - 420. What is the nearest to -1\/4 in -2\/111, g, 3?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 25, 26, 27, 28?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 220 = 4*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 233961\/2, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - -2) + 4\/(-4)*3. Suppose 2*j - 2*n = 676, 10*n = 2*j + r*n - 691. Suppose 0 = 3*a - 3*z - 429, -3*a + 5*z = -j - 102. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 1, m: 1, a: 1, l: 1, p: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 12 - 1. Let k be (8 + s)\/((-63)\/(-6)). Which is the closest to 0? (a) k (b) 0.5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -535295*j**3 + 22695*j + 36 wrt j.\nAnswer: -3211770*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 4, z: 2}. What is prob of sequence yrr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8613 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/32 and 38\/22595.\nAnswer: 723040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, 1 a, and 1 v when four letters picked without replacement from {l: 5, f: 3, o: 2, a: 1, v: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005856714 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*x + 28 = -2*x, 5*x + 35 = 2*y. Solve y = 15*v + 69 + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 1435 - 1169. What is the remainder when g is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 42.5734518626749?\nAnswer: 40.5734518626749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44372 minus 0.413?\nAnswer: -0.85672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.331\nAnswer: -0.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*v**3 + d**2*v**2 - 45*d**2*v + d*v**3 + 9*d*v**2 - 81*v**3 wrt v?\nAnswer: 6*d**2 + 6*d - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(564\/(-80) - (-48 + 53704\/1120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - -11000011010100011101001?\nAnswer: 11000011010100100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8*2*-6. Let z(p) = 5*p - 39. Let b(j) = 2*j - 78. Let n(a) = -a + 52. Let g(h) = -5*b(h) - 7*n(h). Let d(c) = -8*g(c) - 5*z(c). Calculate d(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1413.7 + -1414.2. Which is the third smallest value? (a) 0.2 (b) r (c) -0.1 (d) -85\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose 2*w + k*w = 0. Solve 0 = -w*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 970, 1\/3, -0.106, 35?\nAnswer: -0.106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 3*o - 6, -3*l + 5*o = -2. Find the third derivative of 55*f + l*f**4 - 243*f**2 + 28*f**3 + 244*f**2 - 2*f**4 wrt f.\nAnswer: 48*f + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3413.495? (a) -0.5 (b) -0.1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 + (-64)\/(-198). Let v = -1\/33 + 19\/33. What is f in 0 + 2\/11*f**4 + 2\/11*f + s*f**3 + v*f**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 56. Let h be 16\/3 - ((-360)\/(-27))\/s. Let y(l) = l + 1. Determine y(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (12 - -10)) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8751574 rounded to the nearest 10000?\nAnswer: -8750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 5, -5, -2\/1469, 3\/7, -2\/11, 25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 3. Let t(v) = 0*v - 8 - 10*v + v - 5*v. Give 11*m(p) - 4*t(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(15)\/sqrt(3)*-1.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 2 + (6 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*7859\/(-43360)*-128?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + l = -0*h - 7, -34 = 3*h - 5*l. Let a(r) = 22*r**2 + 6. Let o be a(h). Suppose 20*k = 23*k - o. What is the remainder when k is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l - 2. Let n be r(2). What is the smallest common multiple of 12 and 2 - 3\/(9\/n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32405*p**3*w*x - 6*p**3*x - 990*p**2*w*x - 32902423*p**2*x with respect to w.\nAnswer: -32405*p**3*x - 990*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.9 - -17. Let v = 222\/5 + -1791\/40. Which is the third smallest value? (a) 3 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let a(j) be the second derivative of -36*j**3 + 3272*j. Calculate x(a(v)).\nAnswer: 233280*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215436)\/(-20715)*(5\/(-12) + (-4)\/(-6))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.57267 kilometers to centimeters.\nAnswer: 1957267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6831353 is divided by 358?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16880, 33894, 50906, 67916, 84924, 101930, 118934?\n\"Answer: -p**2 + 17017*p - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -3090a54?\nAnswer: -3090a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.1\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-21333)\/5278 + 4)\/((-4)\/14) and 43\/928.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5437 - 5483.53. Let r = -45.4982 - f. Let u = r - 1.05. What is u rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**4\/12 - 2*c**3\/3 + 3*c**2\/2 + 43*c - 2. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 0)\/(1\/2) is divided by -3 - (-1 - (4 - 2)) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:26 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22543698?\nAnswer: 2, 3, 3757283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*f = 3*f + 8, -u = -2*f + 5. Find the first derivative of u - 2 - 6*j + 6 + 3*j wrt j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/64 of a second?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2106, 8400, 18890, 33576, 52458?\n\"Answer: 2098*p**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + 2*n. Let u be o(-2). Suppose -5*d + 27 - 2 = 0. Suppose d*g + 168 = 608. What is the highest common divisor of g and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35380, 141531, 318450, 566137?\n\"Answer: 35384*t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 37. Let l = 4 + -6. Sort j, 7\/3, l in ascending order.\nAnswer: l, 7\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/40 - t**5\/20 - 5*t**4\/24 - 13*t**2. Let g(x) = 2*x**3 + 2*x**2 + 3*x. Determine 5*g(s) + 3*i(s).\nAnswer: s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*m + 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ad3a (base 14) in base 11?\nAnswer: -73327","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 16275\/44 + -4051\/11. What is the common denominator of v and -101\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2548 and 2519776.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31020)\/2256*(128\/288)\/(1\/9).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 22.7612\nAnswer: -91.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/5)*v**(-4))\/(((v\/(v*v*v**(1\/8)*v))\/v)\/v*v**(1\/5))*(v**(-11)*v**(1\/3))**6 assuming v is positive.\nAnswer: v**(-519\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 + 28*x - 1. What is j(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.09. Let z = 0.046 + 0.064. Let x = z - h. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/3)\/g**(-20)*g**(-13)*g*g*g*g\/g**6 assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 12:26 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 290742 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-380)\/120 + (-1)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 13*s = -5*i - 193, -5*s = -4*i - 525. Calculate the remainder when s is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 67 = 5*w, 3*w = 3*u - 0*w - 90. Let g be 20\/((-5)\/1) - -6. Suppose 0 = g*z + 42 - 166. What is the highest common divisor of z and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a0 (base 13) in base 5?\nAnswer: 14034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -99, -175, -205, -165, -31?\n\"Answer: 4*b**3 - b**2 - 101*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - -35. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8135260 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58429, -116856, -175279, -233698?\n\"Answer: 2*b**2 - 58433*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + w - 6 = 5*p, 0 = -2*w + 2. Let z be p\/(-1*(-4)\/(-12)). Let o be ((-24)\/(-14))\/(14\/49). Solve -2*i - 3*j + o = 0, -21 = 3*i - 0*i - z*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 648754297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 110*u = 111*u + 72, 2*x - 4*u - 38 = 0. Solve -x = -21*l + 25*l - 5*w, 9 = -l + 4*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 270 + 270 - m + 5*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93.2866 + -0.4334. Let y = b + 94. What is the smallest value in y, 3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 3\/47, 0.1, -0.6, 7\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2136*g**3 - 106358*g**2 - 2.\nAnswer: -12816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 488, -15, 3, -11, 4 in descending order.\nAnswer: 488, 4, 3, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/4 - (-3 - -10))\/((-15)\/(-50)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**7\/840 - n**6\/72 + n**5\/60 + n**4\/6 + 11*n**3\/3 + 2. Let h(j) be the third derivative of b(j). Calculate h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) - -2*sqrt(540)) + sqrt(15))\/((sqrt(25)*-1)\/sqrt(5)).\nAnswer: -19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 48*f**2 - 427*f + 783. Calculate x(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p, -4*m + 120 = -7*p + 2*p. Let f = 23 - m. Let d be 8\/(-3)*1\/f. What is the closest to -0.1 in d, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 3, y: 7, w: 2, i: 1}. Give prob of picking 1 k, 1 i, and 1 y.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*-2 - 3. Suppose -2*c - 2*c = -u + 16, 5*u + 3*c - 34 = 0. Let l be q*(10\/u)\/(-1). Solve -r - l = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3237\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**9\/22680 - n**4\/4 + 2*n. Let c(f) be the third derivative of s(f). What is u in c(u) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 414 + 546. Let b = -158 + s. Solve 20 = -b*o + 4*a, -2 = -o + 4*o + a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 + -0.09. What is the third biggest value in -3\/4, -0.2, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219581313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*q - 4 - 2, -o + 7 = -3*q. Suppose 2*p + 94 = -0*p. Let g = p - -49. Solve -g*r - 3*i - 3 - o = 0, 4*r = 4*i + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.733361ms to days.\nAnswer: 0.0000007839509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 85*o**2 + 84*o**2 + 5*o - 2*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 1:30 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23131566 - -576570.\nAnswer: -22554996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7.3. What is the second smallest value in 0.09, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10805827 rounded to 3 dps?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 30. Let q = v - 22.3. Which is the second smallest value? (a) q (b) 0 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1785, -1793, -1803, -1815, -1829, -1845, -1863?\n\"Answer: -v**2 - 5*v - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 15*c**2 + 13*c**2 - 37*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2234*n - 11. Let h(s) = 2247*s - 13. Calculate 5*h(w) - 6*y(w).\nAnswer: -2169*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 10. Solve 4*s = 4*d + 8, -d + v*s = -4*d - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-3) + (-2)\/(-2). Suppose -4*g + 3*r = -13, 4*g - g - r - 11 = v. Suppose -2*w + 4*w = g. Solve 10 - w = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(95)\/sqrt(5) - (sqrt(475) + 3).\nAnswer: -7*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 + (10\/(-6))\/(5\/(-6)) and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-18 - 3) - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1766125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -330*58\/(10730\/37)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:19 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10102 (base 3) to base 16\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 10*n**2 + 21*n - 3. Let l(p) = 5*p**2 - 99*p - 104. Let o(h) = 11*a(h) + 2*l(h). List the prime factors of o(16).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 5.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + 36. Suppose u - g = 3*n, -181 = -u - 2*n - 12. Let h = 175 - 142. What is the remainder when u is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*4\/10 + 2296. Let u = l + 236. Suppose -4*s = -t + 755 - u, -3*t = 3*s - 1338. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, 1, 29, -3 in decreasing order.\nAnswer: 75, 29, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13871 take away 0.3?\nAnswer: -13871.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q**3 + 11*q**2 + 9*q + 8. Let c(g) = -7*g**3 - 4*g**2 - 3*g - 3. Calculate -11*c(f) - 4*x(f).\nAnswer: -3*f**3 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + 6 + (2 - 15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2. Let z be (2*12)\/(-3)*-1. Let h(t) = 11*t - 27*t + 21*t + z*t. Give h(s(f)).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2 + 4*q - 4. Let i(s) = -s**2 + 5*s + 5. Let r = 6 + 6. Let x = r - 7. Let v be i(x). What is f(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 7. Let k be z(-7). Let d(b) = 3 + 13*b - 2 + 30*b - 4. Let t be d(3). Calculate the greatest common divisor of t and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*55\/139920 - (-16136)\/(-384).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, -287, -263, -217, -143, -35?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**2 - 4. Let h(v) = -45*v**2 + 4 + 0 - 4 + 43*v**2. What is p(h(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4\/g*g*g**(-3\/5))\/(g\/g**(-5)*g*(g\/(g**4\/g*g))\/g*g)*(g**(-5)\/g*g)\/(g*g\/(g**(-2\/3)*g))*g**(-2)*g**(-2\/7) assuming g is positive.\nAnswer: g**(-1003\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l + 45 + 65 = -190. Let z(k) be the second derivative of 0 + 9\/20*k**5 + 3\/10*k**6 - 12*k + 0*k**3 + 0*k**2 + 1\/4*k**l + 1\/14*k**7. Factor z(m).\nAnswer: 3*m**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3580, -3316, -3052, -2788, -2524?\n\"Answer: 264*s - 3844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**4 + 5*h**3 - 1330*h**2 + 655*h + 660 = 0. Calculate h.\nAnswer: -12, -1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 41599*s - 2638. Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 5, -5, -0.14, 0.4, -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 82 = 98. Let g be a\/(-2)*(-1)\/(-2). What is the highest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Let q = 3 + o. Suppose 5*p = q*j + 74, j = 3*j + 6. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 9*g**2 - 2*g. Let l be o(-9). Let m(z) = 13*z**2 - z. Let n be m(-2). Calculate the greatest common divisor of n and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let o be -2 - (16\/4 + 0). Determine d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 6*g**3 + 110216*g**2 - 110216*g**2.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 330, 597, 864?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = n - 3*f - 6, -2*n = -2*f + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:22 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 2. Let w be t(0). Suppose 0*v = w*v - 4. Let u be ((-8)\/22)\/(2 + 0). Which is the nearest to 0? (a) u (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -919092 divided by 4\nAnswer: -229773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + f**2 - 22*f + 31 + 25 - 250*f + 28.\nAnswer: f**2 - 272*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**9\/252 - g**6\/90 - g**3 - 2. Let v(a) be the third derivative of d(a). Find the third derivative of v(h) wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**3 + 128*v**2 + 98*v - 240.\nAnswer: 2*(v - 1)*(v + 8)*(7*v + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -837 + 59*i**3 + 366*i**3 - 194719*i - 3*i**2 - 1811 + 194719*i with respect to i.\nAnswer: 1275*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, k: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - 9) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:16 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1230.30813 + 296.993.\nAnswer: 1527.30113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 4, -9, -4, -3 in descending order.\nAnswer: 4, -2, -3, -4, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*b - 109228 - 84105, 38665 = b + n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {h: 4, y: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from ejbjjbjjjjojjj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j + 14 - 14 + 4*j**3 + 5*j**3 wrt j.\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-152)\/(-56) + (-2)\/(-7). Solve h = -q*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -76 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(475) - sqrt(475) - sqrt(475) - sqrt(475))*-4 + sqrt(475) - sqrt(475) - sqrt(475))**2 + 1 - (-1*sqrt(171)*-2 + 4)**2)*6.\nAnswer: -288*sqrt(19) + 135456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -92. Let v(f) = 0*f + 2*f + i - 15. Let h(c) = -2*c - 6. Let p(b) = -b**3 - 3*b**2 + 4*b + 3. Let g be p(-4). Calculate g*v(m) + 4*h(m).\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120374 and 26846.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119, 122, 135, 164, 215, 294, 407?\n\"Answer: m**3 - m**2 - m + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 26958 (b) -2 (c) 1\/9 (d) -0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 10*d - 7. Let g be q(-5). Let h be ((-32)\/64)\/((-1)\/(-2)). Sort -3, g, h in descending order.\nAnswer: g, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v**2. Let o(c) be the second derivative of -1\/6*c**4 + 0 + 0*c**2 - 2*c + 0*c**3. Calculate u(o(m)).\nAnswer: -40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*v**3*w**3 - 1052*v**3*w**2 - v**2*w**3 + 2*v**2*w**2 + 2*v**2 + 658*v*w**3 - 7*v wrt v.\nAnswer: -90*w**3 - 6312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 693703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2. Let s(c) = -c**3 + 3*c**2. Let a be s(3). Let b(n) be the second derivative of n - 1\/12*n**4 + 0*n**2 + a + 0*n**3. What is b(u(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(-3*10)\/3. Let y(f) = -f**3 - 3*f**2 - 2*f - 7. What is the units digit of y(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Suppose 3*v - 8*g = -4*g + 27, 4*v - g = 23. Which is the nearest to 9? (a) o (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301070511.\nAnswer: 13, 151, 662797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -548 + 532. Let n = 3 - 6. What is the nearest to 0.1 in j, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -42\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508 - -5635\/11. Let g be -4*(-28144)\/(-69636)*3. Let d = 6\/829 - g. What is the common denominator of w and d?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 + (-2 - -2) + -91 + 229 + -125?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k + 3 = -4*g, 5*g = -2*k - 3. Let x be 6\/(-48)*477\/1. Let u = x + 60. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139560931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/20 and -41\/114848.\nAnswer: 574240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 7*v + 2. Suppose -4 = -0*p + 4*p, 5*l = -p - 36. Let d be n(l). Let u be (-2)\/(5 + 2*55\/(-20)). Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b**(3\/10)*b)\/b))**(10\/3))**(-1) assuming b is positive.\nAnswer: b**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -368, -551, -734, -917, -1100?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - l + 1. Let n(x) = -5*x**2 + x - 2. Let t(a) = 4*g(a) - n(a). Factor t(h).\nAnswer: (h - 3)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1848992692 to the nearest integer?\nAnswer: 43000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 1, t: 1, x: 2, u: 8, h: 4}. Give prob of picking 1 t and 1 x.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*a + 171. Is a a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k + 4064 = -388. Calculate the greatest common divisor of 9434 and k.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = 10. Suppose 4*o + 15 - 35 = 0. Suppose 2*r - o*c - 22 = -r, 0 = 2*r + 2*c + 12. Put 6, r, z in ascending order.\nAnswer: z, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 25*j**2 + 6*j - 4 + 3 - 4*j. Let z be b(1). What is the highest common factor of z and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 - 3)*(0*g - 2*g**2 + 0*g + (3*g + 2*g - 4*g)*(4*g - 5*g + 0*g) + 0*g**2 - g**2 + 0*g**2) in the form d*g**2 + c*g + n and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 - 425 - 423 + 4*c**4 + 4*c**2 - 18*c**2 + 6*c + 847 - 2*c**3 in the form f*c + v*c**3 + l*c**4 + a + r*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 8:26 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.377 + -7.5.\nAnswer: 39.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/2 + 46*q**2 + 1058*q = 0.\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -22043332?\nAnswer: -22043332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5 + sqrt(1377) + 0 + 2 - (sqrt(153) + -1*sqrt(153)*1)\/((sqrt(225) - (sqrt(225) + sqrt(225)*-2)) + sqrt(225))))**2.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = 3*q + 131, -4*w + 5*q = -125. Solve -j = -4*t + 15 - w, -5 = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -633659*j*l**2 + 446919*j*l wrt l?\nAnswer: -1267318*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 8*q**2 + q - 1. Let y be f(-6). Let l = y - 92. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + 6*a + 3. Determine p(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:54 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1774497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/4 - 579*u**2\/4 - 4485*u\/4 - 8325\/4.\nAnswer: -3*(u + 3)*(u + 5)*(u + 185)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007777939 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085523 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*c - 16 = 0. Let m(d) = -d**3 - 3*d**2 + 6. Let t be m(c). Solve t*b + 14 = -0*b - 3*s, -7 = -5*b + 3*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose -2*j - c*j = -8. Find the third derivative of 6*m**3 - 5*m**2 + 2*m**2 + 3*m**2 + 2*m**j wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 4 - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - u**4 - 2*u**4)*(1 - 3 + 5*u + 4*u).\nAnswer: 18*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6246, -12363, -18338, -24165, -29838, -35351, -40698?\n\"Answer: y**3 + 65*y**2 - 6319*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 5 = -4*n, 2*z + 10 = 4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14496.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1143149.288 and -0.3.\nAnswer: 1143148.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uussusuhshsscuss. What is prob of picking 2 s, 1 u, and 1 h?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {l: 17, h: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 100*k - 102. Is 7 a factor of x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23589492, -23589490, -23589488, -23589486, -23589484?\n\"Answer: 2*n - 23589494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -28. Suppose b = 3*v + f, -5*b + v + 69 = -b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*6 + 8. Suppose -x - x = o. Let i = 6 - x. Solve -i - 3 = 5*g + 4*j, g + 7 = -2*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 590, 2723, 6378, 11555?\n\"Answer: 761*h**2 - 150*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30)*126\/(-28)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 take away 862?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 0 + 2762*v**2 - 5756*v**2 + 2989*v**2 + 0.\nAnswer: -2*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(16)\/sqrt(2)))\/sqrt(6))**2 + (sqrt(264)\/(sqrt(60)\/sqrt(5)))\/sqrt(11).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 18*n + 38. Let o be k(2). Suppose 0 = -4*g + 2*i + 12, 3*g + 4 = -7*i + 2*i. Solve -d + 5*j + o = g*j, 2*d + 2*j = 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.62, 2, -1, -4, -0.03 in increasing order.\nAnswer: -4, -1, -0.03, 2, 2.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/718 and -38\/5?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.06 (c) 2 (d) -59550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.8. Let o = u - -0.4. Let b be (-1)\/((-4)\/3 + -1). What is the second smallest value in b, o, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 7*c**2 + 7*c - 5. Let f be x(-8). Suppose -4*n + r = 20 - 108, -f*r = -12. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.032188*-626.\nAnswer: 20.149688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 6*h - 2426 + 2426 + (-2*h + 4*h + 0*h)*(-2*h + 5*h - 2*h).\nAnswer: h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -0.4, 2\/11 in descending order.\nAnswer: 2\/11, -0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - -0.4. Let j = h + -0.6. Put j, -2\/9, -2 in ascending order.\nAnswer: -2, -2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 11:31 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**5 + 2061*k**4 - 315153*k**3 - 13683705*k**2 = 0.\nAnswer: -35, 0, 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 233 = -5*c, -2*c + 212 = -5*j + 3*j. Let f = 244 - 430. Let k = j - f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j + 3*j - 3*j - 3*j + 3*j + 2*j - 2*j + 2*j - 2*j + (2*j - 4 + 4)*(-3 + 4 + 1) - 4*j + 4*j - 2*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185788*s**2 + 6*s - 2*s - 4*s.\nAnswer: -185788*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4698826331 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 14*r + 11*r + 34 = 0, -18 = 2*x - 2*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2071786?\nAnswer: 4143572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17021*f - 202630 = -70732 - 437803 - 357914 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 - 59. Suppose -3*s - 142 = 3*o - 640, -s - 6826 = -45*o. Calculate the remainder when o is divided by j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. Let x = 5 + k. Let w = -4 + x. Which is the nearest to -1? (a) -3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 27*w - 174. Let m(b) = 9*b + 88. Let r be m(-9). What is the remainder when j(r) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1111\/30 - -387\/10. Let d(g) be the second derivative of o*g**3 + 1\/6*g**6 + 0*g**5 - 7*g + 0*g**2 + 0 - 5\/4*g**4. Let d(t) = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -21*s**3 + 11*s**2 + 11*s + 137. What is the hundreds digit of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1144*o**3 - 1829*o**3 + 3280*o**3 - 2*o**2 + 2*o**2.\nAnswer: 2595*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*k = -115*k + 73*k + 1884 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8*m + 18 = 0. Let x be (-39)\/m - (-2)\/(-4). What is the highest common divisor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 9 + 929*f - 929*f - 11*f**2. Give l(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzovvvzoovozoho. Give prob of picking 1 v and 1 h.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 383694 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373697980.\nAnswer: 2, 5, 2269, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 5. Let i(a) be the second derivative of a**3\/2 - 5*a**2 + 183*a. What is -2*i(z) + 5*k(z)?\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**4 - d**4 + 2*d**4)*(-3 + 2 - 16) - 104*d**4 + 27*d**4 - 91*d**4 in the form z*d**2 + l + a*d**3 + q*d + u*d**4 and give u.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9942.\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*d = -7*d - 11, -d = -b + 7. Suppose -72 = -0*g - b*g. Calculate the greatest common divisor of g and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2151819, 2151810, 2151801, 2151792?\n\"Answer: -9*d + 2151828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*q - 10, 3*z = -q + 7 + 2. Suppose 87 - 22 = -5*a - 5*w, -3*a + 2*w - 44 = 0. Let h = a + 17. Put h, z, 2 in decreasing order.\nAnswer: z, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 3*c + 25. Let k be r(-6). Suppose -k*v = v - 16. Differentiate -7*d**4 - 20*d**4 + v*d**4 - 6 with respect to d.\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/4*(-2)\/(-1). Suppose -c + 0*c = 0. Suppose 4*q - 2*v - 1 = 3*q, q - 4*v + 1 = c. Solve -y - 5*n + j = 0, -2*n = -q*y - 4*n + 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 - 130*q**4 + 1656*q**3 - 1016*q**2 - 6656*q + 6144 = 0 for q.\nAnswer: -2, 1, 2, 16, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7770 and 5439.\nAnswer: 54390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 20155652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 9 + -1 + 1 + 150 + -156\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = j + 4, 2*d + 5 - 25 = -4*j. Solve -j*x + 25 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -414202, -414651, -415100, -415549, -415998?\n\"Answer: -449*z - 413753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15692288294.10074 + -15690503739.1. Let i = -1784525 + f. Let w = 30 - i. Round w to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3029 greater than or equal to -3029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-576)\/(-168) - 180184\/1561.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(5\/((-35)\/14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-64)\/3. Let z = r + -1. Calculate the lowest common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -3.45, -121\/4, 2\/19, -1\/3?\nAnswer: -121\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2223 - -3127?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 30 = s, 0*q + 3*s = 2*q - 22. Let w = q + -4. Is (-5)\/((4\/w)\/(-47)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(99)*-3 - sqrt(99))\/(sqrt(99)\/(sqrt(11) + sqrt(11) + sqrt(44) - sqrt(11))).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58198.7 decades to millennia.\nAnswer: 581.987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857 + 1303 = -90*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1602\/99 - 16) + 4\/(-22). Solve 3*n - 9 = 4*d + 8, -n - d - 6 = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*c = -o + 1001, -c = 2*o - 2002. Let x = o - 809. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*(-1)\/((-7)\/42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*n + 15 - 13, -2*g = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + l - 5021, m - 2*l = -2*m + 3023. Suppose m = -0*x + 3*x. Suppose 5*a + 4*s - x = 0, -2*a = 2*a - s - 268. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1074052 divided by 268513.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - -5) + -6)*-1. What is the third derivative of -4*g**3 + 8*g**2 + c*g**6 - g**6 + 4*g**3 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4) + -1)*0. Is -3\/7 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 0, 2*w = -3*f + 2*f - 8. Suppose f = -x + 5*p + 9575, -4*x + 4*p = -0*p - 38380. Round x to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23304242 (base 7) to base 5\nAnswer: 1011130304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*s, -3*s - 21 + 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -1.02. Let r = 34398 - 34402. What is the second smallest value in k, r, -56?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4204 + 596 = 45*d. What is the highest common factor of d and 2316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6 - 3)\/(5\/(-12)). Let n(c) = -4*c + 3. Let i(v) = 15*v - 11. Determine l*i(a) + 22*n(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 29 + 2*v - 31.\nAnswer: 2*v - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 278 in decreasing order.\nAnswer: 278, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*i + 1074, -2*i = 4*p + p - 1356. Suppose -267*h - 216 = -p*h. What is the highest common factor of h and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.25 or 15?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7278, 15005, 22752, 30519, 38306, 46113?\n\"Answer: 10*h**2 + 7697*h - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-459)*9)\/((-32)\/(-18)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34573870563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*c - 57, -2*g + 0*c = -4*c - 2. Let q = -981 + 999. Calculate the remainder when q is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -41, -78, -121, -164, -201, -226, -233?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7693964*v**4 + 2*v**3 - 75891*v + 21 wrt v?\nAnswer: 92327568*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5596, 1\/5, -93.\nAnswer: -5596, -93, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 18, 15, 5.1, -5 in descending order.\nAnswer: 18, 15, 5.1, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.00000054 - -33. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*j**5 + j**5 - 3*j**5 + (5*j - j - 2*j)*(2*j**4 - j**4 + j**4).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4838 + -4742. Solve -93*s + j*s = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217229, 217228, 217227, 217226, 217225, 217224?\nAnswer: 217223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/9 + 992*k**2\/9 - 7360*k\/3 + 14336 = 0 for k.\nAnswer: 12, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaswsnz. What is prob of sequence nssw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63495 and 16932?\nAnswer: 253980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -15, -0.8, -2\/7, -0.2, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02915 + -0.02913912. Round b to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -13, -11, -9, -7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2 + 21*z - 51. Let u(v) = -8*v**2 - 21*v + 50. Let k(q) = -7*c(q) - 6*u(q). Calculate the remainder when k(-12) is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*c + 11. Let f(k) = -c - 10*k - 18 + 38. Let o be f(-2). Solve -4*n + 3 = o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4. What is the units digit of (q - 0)\/((-1)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**3*a)**21\/(a\/(a\/(a*a\/((a*a*a\/(a*a*a*a**(-3)\/a*a))\/a))))**27 assuming a is positive.\nAnswer: a**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.4, 2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69270, 138545, 207820, 277095, 346370?\nAnswer: 415645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22906 - 15610. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*a - 43*a + 182 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 + 143. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 11:59 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -8 + (-15 - (-15 + -16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.1 + -11.997. What is s rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + (-5769)\/12 + -13. Let n = s - -492. Which is greater: n or -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 0\/(0 - -1). Let d(q) = -q + 6. Let l be d(g). Suppose -l*k = -5*p + 46 + 31, 3*p + 5*k = 19. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1100))**2 + -3)*-2 + (2 + (sqrt(1584) - 2*sqrt(1584))**2 - sqrt(1584)) + 2*(-1 + sqrt(1584)).\nAnswer: -18210 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 989 and 11344819.\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10712010 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let h be i(-1). Is (h\/(-1))\/((-3)\/63) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -981*s**2 - 7851*s - 24.\nAnswer: -3*(s + 8)*(327*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5097 is divided by 2541.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 56*c + 2726. Determine l(-49).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89 - 76*s - 11 - 17*s wrt s.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1}. Give prob of sequence fl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/9, 8\/7, 0.01, -1089?\nAnswer: -1089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(432) + 3 + (sqrt(432) + 0)**2).\nAnswer: -435 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232140 and 8698680?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*r - 103 + 103)*(-5 + 4 - 1)*(-7 - 10 + 9) + 3*r - 2*r - 4*r to the form s + j*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148.16 - -151. Let l = s - -0.16. Let h = 0.514 - 0.014. What is the biggest value in h, -0.04, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y**2 + 0*y**2 + 73*y**3)*((2*y - 3 + 3)*(-2 - 2 + 3) + 3*y + 0*y - 5*y) as w*y**2 + d*y + l + h*y**4 + k*y**3 and give h.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k - 99 = 0. Is -0.1 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(-29*x + 13*x - 36*x)*(31 - 8*x - 31) - 2*x**2 + 3 + 3*x + 4*x - 6*x in the form t*x**2 + j*x + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13094 = 865*w - 1445 + 5735 - 13686 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42918.31 micrometers in nanometers?\nAnswer: 42918310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2*-6)\/(sqrt(10) - (sqrt(640)*2 + sqrt(640))))**2 - (sqrt(1008) + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 4)) + sqrt(1008) + 1 + 3)**2.\nAnswer: -4798080\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) + sqrt(104)*-2)*-2)*-2)\/((sqrt(48)*-1*4)\/sqrt(6)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*g - 2 + 3 - g**3 to the form v + c*g**3 + q*g**2 + a*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*t + 15 = 0, -3 = -y + t + 12. Suppose -2*m + f = 6*f - 27, -y = 5*m - 5*f. Suppose -2*n + m = -41. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(-2*sqrt(6)) + sqrt(57))\/(sqrt(12)*-6).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.01, 2, 1392, 0 in increasing order.\nAnswer: -0.01, 0, 1, 2, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*144\/84?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5536 by -5536.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-2 + sqrt(13))*-5.\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -19565411?\nAnswer: 5478315.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 2, -3 in ascending order.\nAnswer: -7, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 21*d**2 + 58*d - 33. What is c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423511?\nAnswer: 1423511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1736547 (base 8) to base 11.\nAnswer: -317107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313011 + 333?\nAnswer: 2320010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -7 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55871583 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43c05 (base 15) in base 7?\nAnswer: -1554533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 - -5. Which is the nearest to x? (a) -0.4 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 - 45*j**3 + 15*j**2 + 145*j + 90.\nAnswer: -5*(j - 2)*(j + 1)**2*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46839746.\nAnswer: 2, 59, 396947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 339, 560, 779, 996, 1211?\nAnswer: 1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 19045066.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 2 = 0. Let j(t) = 21*t**3 - 2*t + 1. Let s be j(b). Suppose 0 = -4*u + 8*u + 2*p - 86, -u + p + s = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from pycpshhyscphscyc?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) 4 (c) 5 (d) -10 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 68190 to the nearest one thousand.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*l + 65 + 149, 5*l - 3*o - 363 = 0. Let i = l + -83. Let c = -3 - i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 0.9. Let p = -11 - -7.4. Let n = -4 - p. Which is the third smallest value? (a) n (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.34 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6516.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + f**2 + 0 + f - 2. Let n(b) = -b**2 - 4*b + 9. Let c(r) = r**2 + 4*r - 10. Let h(j) = 6*c(j) + 7*n(j). What is 4*h(q) + 5*p(q)?\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.35784.\nAnswer: -4.07352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = 3. Let t = z + 11. Solve 2*o + 10 = -2*g, -4*g + g = -5*o + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 400 (b) 2\/7 (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15308501?\nAnswer: 13, 23, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3.7947501us?\nAnswer: 0.00000000004392071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 3*r - 5*r + r + r**2 - 10. Let t be b(7). Solve p - 4*o + t = 0, p - 4*o = -2*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*s = 679*s + 592*s - 8215 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/20 - 5*f**4\/6 + 5*f**3\/3 + 45*f. Let c be (3 - (6 + -2))\/((-16)\/(-176)). Give d(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30482 = -133*o + 131*o + 2*g, 2*g = -3*o + 45698. List the prime factors of o.\nAnswer: 2, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2632.50237 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -1 + sqrt(320)) + sqrt(5) + sqrt(80) + -4 + sqrt(30)\/(sqrt(12)\/sqrt(2)).\nAnswer: -4 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 - 2*n**2 + 1. Let g be k(1). Suppose -g*h + 4*y - y - 5 = 0, -4*y + 4 = 0. What is the tens digit of (0 - h) + 80\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/13 - 22*i**4\/13 - 798*i**3\/13 + 2518*i**2\/13 - 1700*i\/13 = 0.\nAnswer: -17, 0, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*s + 14*s + 58*s)*(1 - 12 - 4)*(-s + 6*s - 3*s).\nAnswer: -1710*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000179882 to six decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 u when four letters picked without replacement from uuuluuluuuulul?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - -1?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 154810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -210*l + 27. Suppose -10*k + 3*k - 70 = 0. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12987 + -6024. Which is greater: 6962 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -13*s - 14. Put 2, s, 3 in ascending order.\nAnswer: s, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 2*g**3\/3 - 3*g. Let p(u) be the first derivative of u**3\/3 + 2. Calculate f(p(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9109, 9193, 9249, 9277?\nAnswer: 9277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -728 - 11*z + 1999*z**2 + 233 + 11*z - 460 wrt z.\nAnswer: 3998*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/2, -3, 2276.\nAnswer: -3, -1\/2, 0.5, 2276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165 + -20?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243579111 to the power of 1\/2, to the nearest integer?\nAnswer: 15607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495933.8 tonnes to nanograms.\nAnswer: 495933800000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12289862 = 12289854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-77.\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 12. Let k = 11.999994 + y. Round k to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 11, m: 3, w: 3}. Give prob of picking 1 d and 1 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/313063440 and -23\/540.\nAnswer: 2817570960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 121?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(12) + 0 + sqrt(588))*2.\nAnswer: 4 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 1301*j**4\/3 + 37*j**3\/6 - 26*j**2 - j - 162. What is the second derivative of t(v) wrt v?\nAnswer: 10408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7909 is divided by 565?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/10))**(25\/2)\/(n**(-22)*n*n\/(n*n**(-3\/14))) assuming n is positive.\nAnswer: n**(617\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, -0.3, -1.2, 4 in ascending order.\nAnswer: -2, -1.2, -0.3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 10020310123030?\nAnswer: -10020310123030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (369 - 383) + (2 - 0) + -4 - -80?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/3 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8027*n**5 - 1 - 9149*n**5 + 2672*n**5 + 1 - n**5 + 0*n**3 + 0*n**3 + (n**3 - 2*n**3 + 0*n**3)*(2*n**2 + n - n) + 4 - 4 - 2*n**5.\nAnswer: -14509*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggbubuggbubx. What is prob of picking 3 u?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11108 from -13121.\nAnswer: -24229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-5 - (7 - -4)) - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -98 (base 13) to base 2.\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5, 4*d + b + 313 = 3*d. Let g be (-12)\/9*(-4)\/d. Is g > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*u + 23, 2*u = 2*y + y - 41. Let m(w) = w**3 - 31*w - 10. Let v be m(6). Let d = 22 - v. What is the least common multiple of y and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/16 and -31\/115936?\nAnswer: 115936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 < 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.57293 millimeters to micrometers.\nAnswer: 57572.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*k = 14, -4*b - 104*k - 34 = -109*k for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 76. Let t be h(-7). Let o be (4\/(-16))\/(12\/t). Let b(y) = 7*y**2. Give b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.5 (c) -5 (d) 12 (e) -723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.71, 1\/15, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/466956 and 49\/258984?\nAnswer: 30819096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - -0.05. Let p = 0.2943 + 0.0057. What is the second smallest value in p, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890952 divided by -111369?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -10.4, -149?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29985383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = a - 29, 34*a - 364*u - 590 = -368*u for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 6. Let r = -6 - p. Let y(u) = -u**3 - 3*u**2 + 1. Let q be y(-1). Which is the closest to q? (a) -1 (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 8*o**2 + 3*o - 10. Give x(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263504314 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.048 - -0.952. Let o = 282\/85 + -16\/5. What is the closest to t in 0.3, -1, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-24))\/((-12)\/24)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 16.7?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 9 = 0, 20 = -f + 3*f - 4*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 18047*y - 1115062. What is r(-62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1100\/35)\/10)\/((-252)\/882)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.68143 plus 1624962.82?\nAnswer: 1624954.13857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f - 7. Let r be d(7). Suppose 0 = -23*v + r*v + 38. What is the greatest common factor of v and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. Let k be ((-6)\/8)\/((-3)\/8). Let s = 4 + -6. Put l, k, s in increasing order.\nAnswer: s, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1082672.\nAnswer: 1\/135334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/30 and 3 + 4 - 2862\/567.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -26403\/2485?\nAnswer: -26403\/2485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93124, -186288, -279450, -372610?\nAnswer: -465768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/209379439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 + (-16)\/12)*-3. Find n such that -1\/4*n**4 + p + 0*n + 0*n**2 - 1\/4*n**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872) + sqrt(1872) + -5 + 2)**2 + -4.\nAnswer: -192*sqrt(13) + 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -847*n**4\/12 + 1292*n + 1. Let u(k) = -2*k**2. Determine l(u(r)).\nAnswer: -3388*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l. Let u(s) = s + 51. Let t(k) = -k - 47. Let i(q) = 4*t(q) + 3*u(q). What is i(h(f))?\nAnswer: 8*f - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.682 - 0.192. Let k = 1.51 + r. Let l = 1 + -0.5. What is the nearest to -1 in -0.6, l, k?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.084 * -210\nAnswer: -17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 1\/28 (c) 0 (d) 0.2 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573539 = 2*p + 2*v + 86913, 0 = -3*p + 4*v + 729925. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430*x - 122*x**2 - 214*x + 0 + 0 - 219*x to the form p*x + c + m*x**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-16))\/(k*k**13*k)*(k**(4\/5))**(-35) assuming k is positive.\nAnswer: k**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -436 - -476. What is the remainder when 154 is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -5, -108, 0, -78 in decreasing order.\nAnswer: 5, 0, -5, -22, -78, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*9.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045263133 to the power of 1\/2, to the nearest integer?\nAnswer: 55184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1\/5, 637, -14, -6 in descending order.\nAnswer: 637, 11, -1\/5, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*s = -3*l - 11, 2*l + 2*s = 38. Solve -15 = -2*r - l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 81 = -5*y + 21, 2*y + 12 = -w. Let t = y - -8. Suppose t*j = 5*j - 20. Solve 0 = j*n + 2 - 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.182 (c) -7405 (d) -3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/3 - 1. Let o be 33\/7 - (-12)\/42. Sort 1\/2, o, k, 4 in increasing order.\nAnswer: k, 1\/2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*u**3*v - 284*u**3 - 4*u**2*v - u**2 - 84*u*v + u + 22*v + 2 wrt u.\nAnswer: -156*u*v - 1704*u - 8*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 488 = -38. Find the common denominator of 15\/y + 179\/30 and -50\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4.999997922. Round i to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-365 + 409 + 1140)*(-2*c - 2*c + 2*c) + 0*c + 3*c - 2*c + (0 + 3 - 2)*(3*c - 3*c + 2*c))*(2*c - 2*c - c) as u*c + f + w*c**2 and give w.\nAnswer: 2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -454, -455?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 - 3.07. Let x = -114 + 800\/7. Let y = 119 - 1073\/9. Which is the second smallest value? (a) y (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000100213 to 7 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3377771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(18\/3)*0. Suppose j = -3*u + 639 + 108. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 22*a + 6*a - 22*a + 1 + 9*a - 3*a.\nAnswer: -37*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2739 = -2*c + 583. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**3 + 8*f**2 + 11*f. Let j(r) = -5*r**3 - 3*r**2 - 4*r. Let d(i) = 4*c(i) + 11*j(i). Let x be d(0). Suppose h + 3*h = x. Sort 3, h, -2.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 109*z + 202. Let n be w(54). Suppose 5*k + f = -14, -f + 20 = -6*f. Is (-11)\/33*(n - (0 + k)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/32076595 and -167\/32370.\nAnswer: 2501974410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -497837101\/2016 + 246943. Calculate the common denominator of i and -133\/432.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -646526 + 10240?\nAnswer: -636256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - (-20)\/6. Let t(r) = -6 + m*r + 2 + 4. Let i(k) be the first derivative of k**2 - 15. Give t(i(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(-2 - 4 + 3)*(3 - 2 + 2)*((z + 2*z - 5*z)*(z**2 + z**2 - 4*z**2) - 31 + 31 - 15*z**3).\nAnswer: 396*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 189571 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: Let u = -7.85 - -3.892. Let g = 0.058 + u. What is g rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3.1 (b) -3 (c) -4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let q be n + 0 - (0 + 0). Suppose -2*k + 1 = -q. Solve k*f = 7*f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*23738\/(-4446) - -48.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -43. Suppose h + 4 = 0, -2*h + 9 = 2*t + 1. What is the remainder when l is divided by (-2)\/t - (-37)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.302\nAnswer: -2.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 7, 6, -2\/3 in decreasing order.\nAnswer: 7, 6, -2\/3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 29. Suppose u = -4*q - 18, -3*q - 5 = -a*u + 16. Let x(p) = -5*p**2 - 30*p - 4. Calculate the lowest common multiple of x(q) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11309 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 25*c - 21. Let j be a(26). Solve -5*w = j*g, -3*g - 3*w = -2*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(816)\/sqrt(3)*6.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*b + 43*b - 30*b)*(-4 - 25 + 58 + 6*b**2).\nAnswer: 264*b**3 + 1276*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -25. Sort z, 1, -1.\nAnswer: -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -21*5\/(-490)*14. Let t(g) be the first derivative of -2 - 1\/3*g**p + 0*g - 11\/2*g**2. Find the second derivative of t(h) wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 38*g**2 + 37*g**2 + g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*s = -6, 0 = v + s + 11 - 8 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389179892 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3) + (-28)\/(-6). Suppose 0 = -4*f + 5*c + 10, 3*c + 2 + 4 = 0. Suppose -p*n = -4*t + 72, -n + 72 = 5*t - f*n. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hszzzsuhhhvhzzzzc. Give prob of picking 2 s, 1 v, and 1 u.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c28 (base 13) to base 15.\nAnswer: 670a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081583 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18734 divided by 94?\nAnswer: -9367\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83419 + 324297 - 8*u + 6*u.\nAnswer: -2*u + 240878","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -183? (a) 1 (b) 1.8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*d + 8. Suppose -d*o + 22 - 14 = 0. Calculate the highest common factor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220318.\nAnswer: 2, 7, 15737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 17. Let j be 0\/((-1 + 0)*-1). What is the closest to j in f, -3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, 8, -3, 1, 5, 1321 in ascending order.\nAnswer: -19, -3, 1, 2, 5, 8, 1321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52935 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:14 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271.543ml in litres?\nAnswer: 3.271543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -269094e?\nAnswer: 269094d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.3 (c) -2 (d) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*l + 1, 5*l = 2*l + 6. Suppose -3*u - 4*i - f = 0, 0 = 5*u - 0*u - 5*i - 50. Suppose w = -2*b + 3*b - 165, 3*b + u*w = 479. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8741\/10 + 4368\/5. Let r be 15*(-1)\/(-8) + -2. What is the smallest value in -1\/10, 5, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -7) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-178)\/(-266) + (-13266)\/693 + 19?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 19*n - 18 = 2*j, 3*j + 2*n - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 287, 286, 285, 284?\n\"Answer: -z + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 74 = -10. Let h(k) = -13*k - 73. Let b be h(-6). Suppose b*q + 5*y = 15, 2*q + 0*q - 21 = y. What is the greatest common divisor of c and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286632 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 10 (b) 129 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 1981812728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Suppose -2*j = -3*s, -j - 5*s - 19 = 2*j. Put n, 0, j in decreasing order.\nAnswer: 0, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 638.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 258204.\nAnswer: 2323836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1923891 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02 - 477812.\nAnswer: -477811.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/4*(-36)\/(-15). What is the least common multiple of 0 + 12\/(-3 + k) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29631*r = 29687*r + 1064 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 26858*r + 14683836.\nAnswer: 2*(r + 571)*(r + 12858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 2, -0.7, -4, 0.4, 1 in ascending order.\nAnswer: -238, -4, -0.7, 0.4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 35. Let b be (-2)\/o - 333\/(-21). Let p = -23 + 27. Solve -b = -5*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/78*14\/(12740\/117)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/12)\/(700\/1800))\/((-3)\/(-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1050 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 361*b**2 + 1547 - 2383 + 1643 - 1991*b**2 wrt b?\nAnswer: -3260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 42*h + 6. Let q(g) = 8*g + 1. Let n(d) = -2*a(d) + 11*q(d). What is n(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*x - 30, -2*d + 18*x = 17*x - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/(-60))\/((-4)\/18). Solve 4*d = -m + 7, -p*d - 1 = -m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 3*a**2 - 3*a + 1. Let v be r(4). Suppose 3*w = 2*x - 28, 4*x = 2*w + 40 - 0. What is the lowest common multiple of x and (-2)\/(2\/v) + 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let h(o) = -3*o. Let x(t) = 5*c(t) + 6*h(t). Let y(g) be the third derivative of -g**5\/15 - g**2. Give y(x(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556407250?\nAnswer: 2, 5, 7, 53, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2\/5, 1566 in decreasing order.\nAnswer: 1566, 3\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 38 - 37 + 6*w - 1. Let q(i) = -20*i - 24. Let k(c) = c + 1. Let f(j) = -24*k(j) - q(j). Give s(f(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120232 (base 4) to base 13.\nAnswer: 640c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(20\/(-48)*(-124)\/465).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709 = -2*t + 3*c, 5*t - 4*c - 1961 - 4829 = 0. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from bpscbae.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 12.06. Let i = b - -12.06. Is -0.3 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 + 0)*(2*x**2 - x**2 + 2*x**2 + (2 - 6 + 5)*(2*x - 2*x + x**2) - x + x + 2*x**2) in the form s*x**2 + y*x + v and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o - 1513 = 1052. Let w be -121*(o\/(-27) + (-8)\/6). Is w at most -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -2*sqrt(119)*-5)\/(sqrt(56)\/sqrt(8)*3).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 123 = 2*z + 124, 4*z - 31 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7*i + 4*i + 15, -21 = 5*b - 4*i. Let u be (-6 - 2 - -3) + b. Let l(c) = c**2 + 2*c - 3 - 7*c - 2*c**2. Determine l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251839.\nAnswer: 7, 35977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87740.52m to centimeters.\nAnswer: 8774052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j + 120. Let p be j\/(-12)*(-12)\/(-10). Factor -h**3 + 2*h**p + h**3 - 6*h**2 + 6*h - 2.\nAnswer: 2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -12. Let l = -4.3 - -3.9. What is the closest to -2\/3 in l, 0, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*o = -c - 37, -26 = -2*c + 4*o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)*(v\/(v\/((v*v**(-1))\/v)*v))\/v)**(3\/19)\/((v*v**(-2\/5))**46*v*(v**0\/v*v)\/v*v**(2\/7)) assuming v is positive.\nAnswer: v**(-244957\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17595, -17834, -18075, -18318?\n\"Answer: -o**2 - 236*o - 17358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -16458530.9 to the nearest ten thousand.\nAnswer: -16460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 15. Let t be s(-15). Let x be 6 + t + -4 + 3. Suppose -x - 7 = -3*l. Solve -5*c - u = l*u - 5, c + 5*u = -15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966 and 2137758.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2043 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 65*i. Let a = -15 + 10. Let b(x) = -240*x + 338*x + 0 + 0. Let l(q) = a*b(q) + 8*j(q). Let p(z) = z**2. Give p(l(c)).\nAnswer: 900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2054, -3760, -5116, -6122, -6778?\n\"Answer: 175*g**2 - 2231*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (350547 - 350547 + 428*x)*(1 - x + 2*x + 6*x).\nAnswer: 2996*x**2 + 428*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 8 = -7, 3*t - 4*l - 33 = 0. Let q(i) = t*i**2 + i**2 - 4*i**2 + 2 + i**3. Let b be q(-4). What is the greatest common factor of b and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2369 and 111961.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 2028*i - 6075.\nAnswer: -(i + 3)*(i + 2025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*j - 593, 0 = -b - 4*b + 2*j + 2981. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**1*c)**(4\/11)*(c**(-2\/9)*c)\/c*c\/c**(-1\/9) assuming c is positive.\nAnswer: c**(232\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q*q*q**1\/q*q**(-1\/2)*q*q*q**11*q*q)**(-20\/3))**(-12) assuming q is positive.\nAnswer: q**1880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -11. Suppose -3*b + 21 = -g*b. Suppose -b*f = 96 - 516. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -100.5. Let a = d - -6.56. Round a to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 85207, 3, -12.\nAnswer: -12, 3, 4, 85207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 1 - 4 + 5 - 1. Let n(k) = 1 - k + 6*k - 3*k. Determine 2*n(c) + 3*q(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106452*g**2*h**2 - 3*g*h**2 + 1023956*h**2 - h wrt g.\nAnswer: 212904*g*h**2 - 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 = -4*y - 4, -4*y + 25 = -5*g. Let i = g - 24. Let z be (-40)\/i - 4\/(-10). Solve 0 = -z*w + 3 - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.4, -0.02, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16814 (base 16) to base 3.\nAnswer: 11200110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31539337307 + -51.18?\nAnswer: -31539337358.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 30*k. Calculate b(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2.4, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -4\/13, 432, 0.5 in descending order.\nAnswer: 432, 0.5, -0.16, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 16*n - 7. Let o be p(7). Find the first derivative of -j + 10 + 5*j - o wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(5 + 5 + (sqrt(11) - (sqrt(55)\/sqrt(5) + -3)))*-1*-2)**2.\nAnswer: -2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7849104*b + 382091 wrt b.\nAnswer: -7849104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from {c: 8, x: 3, f: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.05 in -18, -4, -0.2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1067372 and 2776?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 3}. Give prob of picking 1 q and 1 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 5, -2628 in descending order.\nAnswer: 5, -1, -3, -2628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:39 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 545630 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686*b**6 + 334*b**2 wrt b?\nAnswer: 82320*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Suppose 2*w - w + z = 3, 3*z - 9 = i*w. Solve w = 5*n - 25, -22 = -2*t - 5*n - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/4 + 84623*v**2\/4 - 8285851*v\/4 + 202944525\/4 = 0?\nAnswer: 49, 84525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let f(i) = 130*i**2 + 16. Calculate x(f(r)).\nAnswer: -260*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279b (base 16) to base 7.\nAnswer: 41363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -7, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 147 = -2*q, -258 = -3*q + 2*t + 3*t. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 555 and 5994.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**5\/10 - c**2 - c. Does 14 divide w(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/6*(-1 - 2). What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85942198 is divided by 614.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*w**3 + 4 - 5 + 0 + 6 wrt w.\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.6. Let k = -1.71 - 0.49. Which is the third smallest value? (a) 3 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 61580\/100 - (-4)\/20. What is the greatest common factor of t and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131676 divided by -364\nAnswer: -3109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4289, -8688, -13087, -17486?\nAnswer: -21885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -1961\nAnswer: 68\/1961","meta":{"dup_signals":{},"source":"arithmetic__div_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: Differentiate 3*h**3*r - 3909*h**3 + 2*h**2 - 94914*h*r - h + 80 wrt r.\nAnswer: 3*h**3 - 94914*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z. Let p(b) = -5*b. Let h(t) = -2*j(t) + 3*p(t). Let g(x) be the first derivative of -x**2\/2 - 1. What is h(g(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -46, -96, -198, -370, -630, -996?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/400 and 65\/32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-25)\/(-2))\/(-5). Let o(n) be the third derivative of -n**5\/120 - 5*n**4\/24 - n**3\/6 + n**2. Let f(v) be the first derivative of o(v). Give f(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 times 10.6206?\nAnswer: -40.35828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 253*k**2 + 276*k**2 - k.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/(-30) + 2 - 41960\/(-240). Which is bigger: 191 or r?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -369\/917 - -34\/131. Let u = 4 - 3. What is the nearest to 0.1 in 0.1, u, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212303 + -1013010231?\nAnswer: -1013223200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4930 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4265*m - 1319 = -4251*m + 8489*m - 455 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c\/((c**2*c)\/c)))\/c)**16*c**(-1\/12)*c*c\/(c*c\/(c\/(c*c\/c**(2\/9)))) assuming c is positive.\nAnswer: c**(1121\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let t(w) = -w. Let m(n) = -4*n. Suppose 0*g = 4*g + 12. Let l(j) = g*m(j) + 6*t(j). What is l(f(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -307.85 * -0.1.\nAnswer: 30.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(117) + 0)**2 - (sqrt(143) - 2*(sqrt(143) - sqrt(143)*3))\/sqrt(11).\nAnswer: -5*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4130 - 4?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 394799010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75311736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/27)\/(1*3\/(-117333)). Suppose -f = -8*h - 3301. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u**2. Let o(d) = 82*d**2 + 7*d. Let p(k) = -47*k**2 - 4*k. Let y(n) = -4*o(n) - 7*p(n). Give -b(j) - 24*y(j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - k = -0*k, 5*n + k + 6 = 0. Let i be (-3)\/(-4 + 3 - n). What is the units digit of 36\/27 + (-29)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**3 + 0*k**3 + 12*k**3 - 99715*k.\nAnswer: -k**3 - 99715*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001614099 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwj when three letters picked without replacement from wwwfsgfjfjfffwjfls.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44200 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f30 (base 16) to base 5.\nAnswer: -223414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29570 and 5?\nAnswer: 29570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-1)\/(-4)). Let o be 14\/(-12) + m\/6. Let y = -103 - -719\/7. Which is the nearest to y? (a) -1\/2 (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -43*d + 2 - 8*d**2 + 62*d - 23*d - 16*d**3. What is the tens digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + 100 = 0. Suppose -5*f + u = -0*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/14*28\/42*28\/138)\/2?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83292265*q**4 + 447450240*q**2?\nAnswer: -1999014360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -d + 187. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15533 - 15512. Let n = 18 - -18. What is the remainder when n is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005495 to five dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6\/17 (b) -1 (c) 0.8 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 855*u - 6910. What is f(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**4*w - 5029*d**3*w + 2*d**3 + 2*d**2*w - 20*d**2 - 11*d*w - 12 wrt d?\nAnswer: 96*d*w - 30174*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or 133833?\nAnswer: 133833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -58*u + 115*u - 2*u**3 + 5*u**2 + u**3 - 48*u - 37 - 15*u**2. What is h(-11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*v + 2*v - 26, 5*x - 31 = -4*v. Let o = -21 + 27. Let n(p) = 5 + 1 - o - 2*p. Determine n(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x + 7. Suppose -4*i - 3*i = -77. Suppose -i*n + 7*n + 24 = 0. Give m(n).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/3 - 41*j**2\/3 + 340*j\/3 - 100.\nAnswer: (j - 30)*(j - 10)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 - 14 = 2*t. Suppose -h + t = 2*q, -3*h + 2*h = 1. Suppose -q*y - 24 = -66*y. What is the greatest common factor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f - 128. What is c(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/9*479*(-174)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -77*b + 1. Let f(x) = 233*x - 5. Let t(k) = -8*c(k) - 3*f(k). What is the units digit of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 - 5*q**3 + 3*q**5 + 2*q - 2*q + q**5 + (-2*q + 0*q + 0*q)*(q**4 - q**4 + 3*q**4).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hssh when four letters picked without replacement from {s: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 1. Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 11\/238, -2\/7, -3\/4, -0.231?\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4029573 + 2*v - 4029550 + 8059174.\nAnswer: 2*v + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 = 2. What is the second derivative of -57*g**5 - 54*g**5 - b*g - 8*g + 89*g**5 wrt g?\nAnswer: -440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.1. Let y = 537 + -2706\/5. Let a = y + 4. What is the nearest to 0 in a, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*(r*r\/(r**5*r)*r*r*r)\/r*r**2\/r*(r*((r*r**(-9))\/r)\/r*r)\/r assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.2, 0.1, -14, 0.5, -0.04 in ascending order.\nAnswer: -14, -8, -0.04, 0.1, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k - 11*k + 96 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382176 divided by -24.\nAnswer: -15924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {m: 10, s: 4, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -7)\/((-1)\/(-1)). Suppose 3*t - h = 50. Suppose t + 13 = 4*k. Which is bigger: k or 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0461 - -5.0461. What is the smallest value in -1.6, v, -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 17*s**2 + s**3 - 537 + 537 + 64*s**2 + 20*s**2.\nAnswer: s**3 + 71*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 23 = -11. Let j(c) = c**3 + c**2 - c - 1. Let o be j(b). Suppose -o = -4*l + l. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 109 - 452 - 191)*(-t + 3*t + 0*t).\nAnswer: -1558*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k + 16*k - 3060 = -4*k. Let b(t) = -2*t**2 + 0*t + 7*t**3 + 0*t**2 + t. What is the remainder when k is divided by b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -206421936 and -0.4.\nAnswer: -206421936.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 3*d)*(69706*d - 139396*d - 3*d**2 + 35 + 69703*d).\nAnswer: 6*d**3 - 26*d**2 - 70*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**4 - 2*f**3 - f**2 + 2*f. Let s(t) = -t**4. Let d(q) = -2*h(q) - 10*s(q). Factor d(l).\nAnswer: -2*l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, q: 4}. Give prob of sequence iqi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 128\/(-56) - (-2)\/7. Does 15 divide (q - 24\/(-15))*-150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {i: 15, g: 5}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7131329 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + h - 3*h - 10 = 0, -5*h - 18 = -4*f. Solve -f*q + 6 = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1160\/18 + (-136)\/306. What is the greatest common divisor of y and 768?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.98 - 3. Let x = -7.98 + n. Let g = x - -11. Sort g, -1\/7, -0.4.\nAnswer: -0.4, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 12*v**2 - 19*v - 14. Suppose 39 = -16*y + 13*y. Let p be a(y). Is (-21)\/(-2)*p\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 + o**4 - 1184*o**3 - 6741*o wrt o?\nAnswer: 20*o**3 + 12*o**2 - 7104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -6457 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(0 - 2*a + 0) - 2*a + 0*a + 3*a - 4418*a + 9795*a - 3838*a.\nAnswer: 1544*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.000113 - 28. What is u rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -60. Let r(q) = 13*q - v*q + 15*q. Let x be 1\/(2\/(-2 + 4)). Give r(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -37*u**2 - 14*u - 4. Let q be t(2). Let g = 185 + q. Solve -3*r - 2*r + 2*b = 7, g*r = 5*b - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 4, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.51943 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose i = 3*w - i - 10, t*w = -3*i - 15. Let c = 10 + -6. Solve w = 2*g + 12 - c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -14. Let u = p - -12. Suppose u*z = 6*z - 24. What is the least common multiple of z and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -150914 or -150996?\nAnswer: -150914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -13*a - 21. Let m be q(-14). Calculate the highest common divisor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 64, 70, 92, 136, 208?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 254 (c) -24022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqhqqhmqqmmm. Give prob of sequence mmm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 1, 6, 13, 22, 33?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -98, -136, -174?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 874*f**3 - 3*f**2 - f + 1. Let y be r(1). Let g = 875 - y. Calculate the greatest common factor of g and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.7 times 10.2?\nAnswer: 772.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8088349 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*a**3*i**2 - a**3*i - 72144*a**3 - 2*a**2*i**2 + 17*a**2*i + 2*a**2 - 10*a*i**2 - 4*i**2 + 25 wrt a?\nAnswer: 1026*i**2 - 6*i - 432864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 32*u**2 - 5*u + 5. Let f(t) = 7*t**2 - t + 1. Let b(v) = 9*f(v) - 2*z(v). Let s(k) = -k**3 - 2*k**2 + 13*k - 4. Calculate -2*b(j) + s(j).\nAnswer: -j**3 + 11*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 657, -703, -5725, -16239, -34075?\n\"Answer: -305*j**3 - j**2 + 778*j + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001908 rounded to seven decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780681438.\nAnswer: 2, 3, 43371191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1814 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.27 - -0.27. Let d = 10.9 + k. Put 0, d, -0.5 in decreasing order.\nAnswer: 0, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:42 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 1. Suppose -26*x + 2*z = -23*x + 11, 4*z - 19 = 3*x. Let q(p) = -p**3 + p**2 + 4. What is x*q(c) + 4*a(c)?\nAnswer: -3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 12*x - 7. Let a be z(5). Let y be (3 - 87\/6)\/(a\/72). Find the common denominator of -67\/3 and (1 + (-166)\/156)\/(69\/y).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:59 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 109692?\nAnswer: 109692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12543859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose -2*j - c - 19 = t, -5*c - 27 + 9 = -j. Let n(v) = -22*v + 14. What is the units digit of n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 2891*x**2 + 287*x + 652607. What is r(964)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 429618896149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*k + 4*k = 99, 0 = -g - 3*k + 42. Let i = g + -11. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2. Let i be (21 - 11 - 0) + -7. Let r(a) be the first derivative of 0*a**2 + 0*a - 6 + 5\/3*a**i. Give k(r(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -34, -55, -78, -103, -130, -159?\n\"Answer: -l**2 - 16*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251679*q**3*z**2 + 18717*q**3*z - 2*q*z wrt z.\nAnswer: 503358*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -6.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4*k = -3*x + 7*k - 7*k + 8, -146*x = 2*k + 1750 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5385*h**2*p**3 + h*p**3 + 13*h - 46*p**3 wrt h.\nAnswer: 10770*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -3\/2*q**2 + 31 + 0*q. Let t(u) = 182 + 16*u - 182. Determine t(b(l)).\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ta when two letters picked without replacement from hvqsvhvtaaatt?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 247.9. Suppose 3*h = -2*h - 10. Which is the nearest to g? (a) h (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -970*m*v**3 - m*v**2 + 15*m*v - 35842*m wrt v.\nAnswer: -2910*m*v**2 - 2*m*v + 15*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64620 divided by -45?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(0 + 1 - 3)*(-6 + 5 + 3)*(4*k + 4*k + 0*k).\nAnswer: -96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.8. Suppose -53*x + 22*x = 1395. Let l be (x\/10)\/((-5)\/(45\/(-27))). Which is the third biggest value? (a) r (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 42 + 33 - 69 - 5*v to x + w*v and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 111, 112, 125, 156, 211, 296, 417, 580?\n\"Answer: l**3 - 6*l + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - n**2 - 3 - 63*n**4 - 58*n**4 + 0*n**3 + 129*n**4 in the form a + s*n**3 + i*n**2 + f*n + t*n**4 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a**0)**(-6))**(1\/4) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 11 - 2. Suppose -5*c = l*c - 24. Suppose -10*o**2 - 3*o**c + 2*o - 3*o**5 + 11*o**2 - o**4 + 4*o**5 = 0. Calculate o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1662850, -3325698, -4988546?\nAnswer: -6651394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*g - 342*g + 32 = -l, g = 8*l + 157 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 22*p + 178. What is d(16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 94*k - 520. Let w be i(30). What is the highest common factor of w and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001101110111101010 (base 2) to base 3.\nAnswer: -1002112010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {c: 13, r: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1. Let r(l) = 83*l + 9. Let p(u) = -r(u) + 4*z(u). Is p(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.99999942 - 50. What is z rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w**2. Calculate n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-63) - (-412)\/420)\/(41\/205)?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 95\/(-10) + 9\/6. Let k be 70\/22 - i\/(-44). Suppose -s + 53 - k = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6520 is divided by 96.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2183 - 2033. What is the remainder when n is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 28*z - 1388 = 0. Is 36 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 + -85 + 52 + 13. Let 12*s - 172\/5*s**f + 288\/5 - 4\/5*s**4 + 52\/5*s**3 = 0. Calculate s.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 32. Let j be k(-4). Let t be -2*(-3 + j)*(-2)\/4. Solve 4*y = -t + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -666341121 smaller than -666341121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 105 (b) -8 (c) 1\/4 (d) -1 (e) -26\/43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 41*b - 2400 = -32*b. Solve 2*f + b = 48 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + sqrt(13) + 5)**2 + (sqrt(325)*5 + 3)**2 + sqrt(325).\nAnswer: 159*sqrt(13) + 8146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -305477, -305474, -305469, -305462?\n\"Answer: w**2 - 305478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 12\/(-9))\/(92\/(-966))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*b + 76 - 34. Suppose -b*g = 4*p - 6150, p + 3*g - 7*g = 1515. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 7*o**2\/2 - 1. Let d(a) be the second derivative of -5*a**4\/12 + 6*a. Give k(d(r)).\nAnswer: -35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 + 6 - s - 4 + 3. Let l be x(-2). Determine m, given that -68*m**l + 0 + 0*m - 16\/7*m**2 + 70*m**5 + 152\/7*m**3 = 0.\nAnswer: 0, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -157, -308, -457, -604, -749, -892, -1033?\n\"Answer: l**2 - 154*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i - 14. Calculate r(8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410*m - 3409*m = 5*k - 20, 0 = 2*m + 5*k - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -112 + 523525\/2925 + -67\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -730\/9 - -520\/9. Let h = -5748195\/649 + 8857. Let r = -3261\/5192 - h. Find the common denominator of c and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -475, -473, -469, -463, -455, -445?\n\"Answer: k**2 - k - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (sqrt(500) + sqrt(500)*-1 + sqrt(500)))\/sqrt(10))\/sqrt(10))**2 + 3*sqrt(225)\/sqrt(5).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.1. Let q = -137\/3 - -2597\/57. Let z = -3.1 + 3. What is the closest to -2\/7 in z, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/6 + 67*l**3\/6 + 27*l**2\/2 - 2573*l. What is y(-33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39386 - -0.10614. Let p(h) = h - 4. Let j be p(5). Let i(t) = t**2 + t. Let b be i(j). What is the second smallest value in 0, b, -5, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-21)\/(-7))\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106289909 to the nearest integer?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5, -4*w + 2 = p + 3. Let i = -1 + p. Suppose 4*k = -i*y, -4 + 2 = -3*k - y. Solve 0*u - 2*x = 3*u + 4, -12 = 5*u + k*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 266*v - 261. Determine p(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2.3, -3\/8, -0.4 in decreasing order.\nAnswer: 2.3, 0.5, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - t**4 + t**4)*((20*t - 29 + 29)*(301 - 226 + 281) - 3*t - 4*t + 6*t).\nAnswer: 14238*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -5*v, -2*v + 2 - 7 = -3*s. Let u = 3 - s. Suppose u = 10*d - 6*d - 248. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258461845?\nAnswer: 5, 19, 1607, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2843582 to the power of 1\/2, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -42, 0.5, -33\/19, -12 in increasing order.\nAnswer: -42, -12, -2, -33\/19, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*f - 17 = 180*f - 0. Which is the fourth biggest value? (a) 4 (b) 2 (c) 0.028 (d) -4\/5 (e) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 - 0.2. Let y = -0.716 + -41.984. Let f = -43 - y. Put 2, a, f in increasing order.\nAnswer: f, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/2 + (-4)\/4*3. Suppose 2*w - 4*q - 36 = p, 24 = 2*w + w + 4*q. Suppose -2 + w = 10*g. Solve 3*l + g = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42386*o - 3 + 2 - 42433*o)*(-4 + 1 + 1).\nAnswer: 94*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 9) in base 3?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + 5\/(-1). Let k be (60\/(-3))\/(2\/z). Suppose 4*m + 10 - k = 0. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 298 + 293 = 0, 3*c + 95 = 5*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -4. Suppose 13*g - 8*g - j = 0. Let a(l) = -3*l**3 + 5*l**2 - 5. Let v(m) = m**3 - 3*m**2 + 3. Calculate g*v(o) + 3*a(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 509, 20, -3 in descending order.\nAnswer: 509, 20, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17932810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w - 90. Calculate k(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/11, 14, 1\/1542?\nAnswer: 1\/1542","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1400 - 1398. Let r be (-3 + -1 + 4)\/3. Suppose r = 4*h - 3*q - 26 + 7, q = -3*h + 11. Solve -h*k - 8 = 0, c = 4*u + u - k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75160 + -37049. What are the prime factors of i?\nAnswer: 23, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-1)\/2). Let z = -67.917 + -0.083. Let u = 73 + z. What is the nearest to o in u, 5\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-442)\/(-2210) + (-59 + 13)*(-2)\/(-260))*2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 48. Let i(j) = 3*j**3 - j**2 + 2. Let v = 13 + -7. Calculate the remainder when i(k) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 349226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20558*m**2 + 68 + 20562*m**2 - 188 to the form k + d*m**2 + z*m and give k.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:29 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(-1 + sqrt(1053))*3*1 - (2*(sqrt(1053) + -3) + 4*(sqrt(1053) + -2)))**2.\nAnswer: -3037760 + 69120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 13. Let i be (h\/(-10))\/(2\/40). Is (i - (1 + -1)) + -1 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039089 rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2916 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -23.97. What is the second biggest value in i, 2, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**6\/120 + u**5\/60 - u**4\/24 - u**3\/3 + 3*u**2. Let p(n) = -n + 2. Let s be p(2). Calculate m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*o + 61 = 0, -4*n = -2*o + 3*o - 64. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 25. Let m be s(-8). Let q(k) = -k**3 - 7*k**2 - 9*k - 9. Let t be q(-6). Suppose 3*x - t = 42. What is the highest common factor of x and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(((b\/b**(-16))\/b*b*b)\/b*b))\/b)\/(b\/(b**(-16)*b)))\/(b**(1\/6))**(-18) assuming b is positive.\nAnswer: b**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 236 - 236.00079. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 750 + -746. Which is the closest to -1\/2? (a) -0.4 (b) -7\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(14)\/sqrt(2) + sqrt(7) - sqrt(7)).\nAnswer: -15 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 9*n + 4*n = 25, 3*n + 15 = 4*j. Let t be (385\/(-21) - -3)*(-51)\/2. Suppose j*p = p - t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f. Let y(s) = 0*s + s + 2 + f. Let o(j) = -2*j - 3. Let x(l) = 2*o(l) + 3*y(l). Let p(r) = -r**2. What is x(p(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4020 divided by -4\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 263, 1150, 2629, 4700?\n\"Answer: 296*i**2 - i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 21 - (-10 - 1)) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6021 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 81*l + 18330. What is p(-211)?\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/2 - 1665147*m - 924238177203\/2 = 0.\nAnswer: -555049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 2175?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*c + 4*m, 72*c + 3*m = -89*c + 1031 - 399 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 2*d + 0*d + d + 3*d - 3*d + (3*d - 2*d + 3*d)*(0 + 2 + 0) + 5*d + 2 - 2 + (2*d - 1 + 1)*(1 + 3 - 2).\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35733 + -29961. Calculate the lowest common multiple of 20 and n.\nAnswer: 28860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4478\/11 - -4482\/11. Is 2.84 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.97 - 24. What is b rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let x be i - 4 - 207996\/2. What is x rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98913 + 693709\/7. Let t = -188 + q. Which is greater: 0.3 or t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-35)\/(-42))*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/11781*-9)\/(414\/(-1518))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 3*p**3 - p**3 + (5*p - 2*p - p)*(-16*p**2 + 3*p**2 - 2*p**2).\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -222292986 + -17959\nAnswer: -222310945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 4021?\nAnswer: 160.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1617.6 + -1616. Which is the second smallest value? (a) 2\/15 (b) -1\/8 (c) l (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7569.8 times -0.2\nAnswer: 1513.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 45360*c + 317618.\nAnswer: -2*(c - 22687)*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1139 * 0.3\nAnswer: 341.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from bggwggfwwgggwbggww.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*f - 8551 = 0, -6750 - 1801 = -p - 4*f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81368043 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180606872.\nAnswer: 2, 151, 307, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/(-16) - (-5)\/40. Suppose 20 = -z + j*z. Suppose -4*f = -n - 1, -n - z = -f + 3*n. Solve f = 4*v + 3*c + 5 + 5, -2*c + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-3 + (-11)\/(-3)). Suppose -6*r = -14 - 10. Sort d, 5, r, 3.\nAnswer: d, 3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 9:35 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q)*((-4 + 7 - 1)*(350*q - 350*q + 3*q**2) + (2 + 2*q**2 - 2)*(2 - 1 - 3)).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.7 + 15. Let c = -15\/8 + 99\/40. What is the biggest value in 0, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/15 and 79\/280?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b - 4 + 104*b**2 - 4 - 16 - 5*b - 14 wrt b.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 69*t + 18*t + 280960 = 0. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**3 - 2*g**2 + g + 2. Is 8 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmummmmummummu. What is prob of sequence muuu?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -106, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:17 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 2968097*q**3 + 5949354*q - 3 wrt q?\nAnswer: -40*q**3 - 17808582*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99684, -99694, -99728, -99798, -99916, -100094, -100344, -100678?\n\"Answer: -2*g**3 + 4*g - 99686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -4)*13\/(-3). Let h = 6 - w. Let n(c) = 4*c**3 + 9*c**2 + c + 8. Let u be n(h). Round u to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 944 = -r, -r + 926 = -2*r + 3*c. Is r\/(-35) - 4\/(-14) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -1183, -3284, -6381, -10474?\nAnswer: -15563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6427582 to one dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6049 rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2. Let z be (-4)\/4 - (4 - 4 - 0). Let i(w) = -4*w**4 + 16*w**3 - 4*w**2 + 8*w. Let b(s) = z*i(s) + 16*p(s). Factor b(f).\nAnswer: 4*f*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*45\/(-5). Suppose -n*g + 2*g + 6 = -2*v, -4*g + 64 = 2*v. Solve -j + g = -2*q - 4*j, -8 = 4*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjuj when four letters picked without replacement from {j: 6, u: 13}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.220046 rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.300891*-0.5.\nAnswer: -0.1504455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = v - c, 74*v - 2 = 78*v - 2*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 - 16*u**2 - 27*u + 9. Let y(q) = -q**2 - q. Let s(k) = c(k) - 4*y(k). Is s(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 154 - (-39 + 7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5265 (base 7) to base 12.\nAnswer: 10b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6809799 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 - 4*-1. Let u be 5\/l + (-2)\/(-6). Suppose -m + 3*q + 2 = -6, -4*q - 12 = -u*m. Solve p + 2*h = m*p - 7, 3*p - 12 = -3*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4 + 0 - 1 + 4 + (6 + 0 - 4)*(-1 + 2 + 0))*(-3*z + 3*z - 2*z)*(-z + z - z**2).\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625 (base 14) in base 10?\nAnswer: 3953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -816.43 - -813. Let o = 3.6 + a. Let b = o - 10.67. What is b rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98675 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(5\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 4109, 13311, 30945, 59753, 102477, 161859, 240641?\nAnswer: 341565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -740 and 9.3.\nAnswer: -6882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -274, -615, -1092, -1705?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, 269, -21 in descending order.\nAnswer: 269, 5, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 16\/10)\/((-21)\/105). Suppose 0*n - 4*z = 2*n - 26, t*n - 21 = -5*z. What is the remainder when n is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 3*d**4\/4 - 9*d**2\/2 + 6*d - 42. Factor h(o).\nAnswer: 3*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30090 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 10. Let c be q(10). Let v = -3.3 - -3. Let w = v + 0.2. Put w, c, -1\/7 in increasing order.\nAnswer: -1\/7, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Suppose -m - m = -6. Let l(s) = -s. Let g(z) = -4*z**2 + 208*z - 211. Let o be g(51). Give m*i(n) + o*l(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**2*m**3*w**2 - 2*a**2*m**2*w**2 - 3*a**2*m*w**2 - 3*a**2*w**2 - 99640*a*m**3*w**2 + a*m**2 + 2*m**2*w**2 + 1786*m wrt m?\nAnswer: 66*a**2*w**2 - 597840*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -17766 and -17767 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*w**3 + 24*j**2*w - 181395*j**2 + 79385*w**3 + 74*w**2 + 1 wrt w?\nAnswer: -6*j**2*w + 476310*w + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25599996 - 1) + -2 + 7. What is m rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6466777 (base 8) to base 10.\nAnswer: -1732095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let j = 1.999808 - n. Round j to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -14. Let d be (1 + 1)*(1 - 0). Suppose -1 = d*v - 5*a, -2*a = v + 2*a - 6. What is the greatest common factor of v and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/16, 4, -1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283\/3 + -4841\/51. Which is the closest to 0.1? (a) -3 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -942000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 68 - 82 = 0. Let u = 111 - 61. Let r = u + j. Does 8 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 15) in base 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, e: 4, m: 2, d: 2, q: 1, s: 2}. What is prob of picking 1 s, 2 o, and 1 e?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71499.\nAnswer: 3, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = 4*k - 17, -2*g = 2*k + 14. Let s = -1 + 13. Solve 2*u - s = k*h, 0*u = 5*h - 4*u + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 48*x**2 - 10*x + 33. Let u be z(-12). Is ((-2)\/(-3))\/(30\/u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 23*i**3 + 24*i**2. Let z(a) = 8*a**3 + 8*a**2. Give 6*m(l) - 17*z(l).\nAnswer: 2*l**3 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.058?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2.9, -29 in descending order.\nAnswer: 0.5, -2.9, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -49 - 27. Suppose 64 = 15*z + k. Solve 0*h = z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12595, 29181, 45765, 62353, 78951, 95565?\n\"Answer: n**3 - 7*n**2 + 16600*n - 3999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207.9 - 151. Let q = 52 - h. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1508 and 178137778?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 3, i: 1, a: 4, t: 4, z: 1}. Give prob of sequence it.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 4, p: 2, w: 3}. What is prob of sequence gg?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 221 = n - 238, 5*m - 38 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 - 173.1. Which is bigger: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -933, 5, 1 in ascending order.\nAnswer: -933, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**2 + 4*d. Let g(x) = -9*x**2 + 4*x. Let a(w) = 4*g(w) - 3*u(w). Find the second derivative of a(f) wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.03495 millilitres in litres?\nAnswer: 0.08603495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 36 - (0 - (1 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2042*o - 134850. Give c(66).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-6)\/(-3))\/((-2)\/4). Suppose 4*f - p*f = -4542. Suppose 5*o + f = 4*x + 2*o, 5*o = 4*x - 1518. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15)*-1)\/((-13)\/(-65))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*w = -21013 - 7867 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 14, 1, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*l = -8, -589*b - 14 = -594*b - 4*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10322 and 47840?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 3)*(5970*f**2 + 3446*f**2 + 6557*f**2 + 1159*f**2 + 4604*f**2 + 18197*f**2).\nAnswer: 39933*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26155 + 3914. Let q = 2359 + j. Let z = 40882 + q. Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 14 = 4*v, -3*t + 16 - 32 = 5*v. Solve 8*d + 15 = t*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3024 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-79)\/(-7) + (-18)\/63. Suppose 37 + 40 = t*s. Calculate the highest common factor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96182 is divided by 161.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44 + -147?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62665 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 8) + 11 + -4 - (1 - 6) - 30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*j - 20, 3*j = -2*i + 6*i + 46. What is the common denominator of ((-2)\/i)\/(12\/(-390)) and 43\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 + 160 + 8 + -4 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520253.\nAnswer: 101, 24953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 74. Let j = 10 + o. Let p = 132 - j. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005272273 to the power of 1\/2, to the nearest integer?\nAnswer: 44780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1474314453 or 1474314454?\nAnswer: 1474314453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110100 - -1101001?\nAnswer: 1111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/9*5235\/40. Let k = -900 + d. What is the common denominator of -3\/20 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1*i\/i**3)\/((i\/i**(2\/7))\/i)**(-44))**(-31) assuming i is positive.\nAnswer: i**(3162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2695 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2 (c) 1\/3 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 23*y = -19*y - 32, 4*z - 5*y = -35. Put -11, 4, 14\/11, z in increasing order.\nAnswer: -11, z, 14\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/9)\/(14\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/(-17) - 67\/(-17). Let o = 1049\/7 + -149. Which is the second smallest value? (a) -0.1 (b) o (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((sqrt(2299) + -2 + -5 + 4*sqrt(2299)*2)**2*-2 + -5).\nAnswer: -5544*sqrt(19) + 745082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79473 is divided by 694?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**4 + 4*z**3 - 4*z**2. Let v(g) = -9*g**4 - 4*g**3 + 5*g**2. Let c(u) = -7*o(u) - 6*v(u). Solve c(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426*u**3*z**3 + u**2*z**2 - 13*u - z**3 wrt u?\nAnswer: -2556*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f - 3*f + 5*f)*(-32 + 1 - 66) as k*f + g and give k.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*i + 329*i = -2350 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qqvmvqqqqqqqqbq?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3559312955 + -3.\nAnswer: -3559312958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12282212.\nAnswer: 2, 3070553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (3 + (-90169724)\/(-13956)). Let q = h + 6466. Let a = q - 73225\/76758. Find the common denominator of 59\/2 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9906, 20111, 30316?\nAnswer: 40521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*f**4*m + 4*f**4 + 21*f**3*m - f**2*m - 2*f**2 - 196*m wrt f.\nAnswer: 3672*f*m + 96*f + 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(4\/27))**(-44)*((r\/(r**34\/r))\/r)\/r**10)**(-2\/97) assuming r is positive.\nAnswer: r**(5050\/2619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89*i**3*s**3 + 25*i**3*s**2 + 3*i**3 - 3837*i**2*s**3 - i**2*s**2 - 4*i**2*s + 253*s wrt s?\nAnswer: 534*i**3 - 23022*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137592 or -137581?\nAnswer: -137592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77.65 - -74. Round t to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -213 + 432. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**3 - 2*t**2)*(1 + 5 - 3)*(9 - 66 - 6) + 1 - 1 + 2*t**3.\nAnswer: -376*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -1287, 1\/6, -2\/5, -1\/9 in ascending order.\nAnswer: -1287, -2\/5, -1\/9, 1\/6, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*x**2 - 4*x**3 - 1080*x + 1080*x.\nAnswer: -4*x**3 - 771*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 50592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 13149*x - 157969. Calculate z(12).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 - j + 2. Let o be u(0). Let z be (o\/10)\/(14\/105). Factor 2*l**4 + 1\/3*l**2 + 0 - z*l**3 + 0*l - 5\/6*l**5.\nAnswer: -l**2*(l - 1)**2*(5*l - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7719? (a) 0.4 (b) 0.5 (c) -0.3 (d) -2\/7 (e) -2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5757761, -5757763, -5757765, -5757767, -5757769, -5757771?\n\"Answer: -2*m - 5757759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 713*n**3 + n**2 - 12*n + 20. Let h(f) = f**2 - 14*f + 23. Let c be h(13). Let d be r(c). What is d rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3*r)\/r)**(-36) assuming r is positive.\nAnswer: r**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*w**3 - 411*w**2 - 7988*w**4 + 1234 + 411*w**2 + 38*w**3 wrt w?\nAnswer: -31952*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 8092174.\nAnswer: -8092176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 16*h - 7\/3*h**3 + 0*h**2 + 0. Let a(k) = -k. Calculate s(a(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 - 4 + 1 + 2*k + 0. Let b be u(3). Solve -6*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 - 7*w - 2. Let v(i) = i**2 - i + 1. Let l(g) = -t(g) + 2*v(g). Calculate the smallest common multiple of l(3) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssgenssbsnn. What is prob of sequence ensb?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -276, -558, -860, -1194, -1572?\n\"Answer: -2*t**3 + 2*t**2 - 274*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 9*b**2 + 5. Suppose 5*x - 200 = -5*j, 4*j + 4*x - 156 = x. Suppose z = -3*z + j. What is the units digit of h(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 18*n**3 - 22*n**2 + 18*n + 20.\nAnswer: 2*(n - 10)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*s + 27, -s + 3 + 4 = r. Let y(d) = 6*d + 7. Let j be y(s). Let p = j + -11. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 168 = -5*f, 4*i + 48 = 4*f - 96. Suppose f*s = 26*s + 568. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 26 + 216412*m + 17.\nAnswer: 216412*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/2)\/(60\/120). Which is the second smallest value? (a) n (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 570 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80026*k*x - 3907*k - 33*x**2 + 677 wrt x.\nAnswer: -80026*k - 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6224265856 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15515, 15521, 15531, 15545?\nAnswer: 15563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1635 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/2))**(-8\/11)\/(q**7\/q)**(2\/105) assuming q is positive.\nAnswer: q**(-1304\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 51 = -x + 2*x, -m - x + 19 = 0. Let t = 30 - m. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1315*d**2*v**2 + 100*v**2 - 9*v wrt d?\nAnswer: 2630*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 - (-5 + 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2209 by 75.\nAnswer: 2209\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 8. Let b be (-2)\/(-4) + (-39)\/a. Let f = -1 + b. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 15*p**2 + (0*p**2 + 5*p**2 - 3*p**2)*(-3 - 1 + 2) + 0*p**2 + 4*p**2 - p**2 + 3*p**2 - 4*p**2 + 3*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**4 - 4959500*g**2 + 245496383*g wrt g.\nAnswer: 48*g**2 - 9919000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*p - 130*p + 3645 = -195*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146187985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 14*l - 3472. Determine b(-66).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311.8603 - 1.6303. What is j rounded to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4736386.\nAnswer: 2, 73, 32441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 46 = 37*y + 5*i, -3*i = 3*y - 84. Which is the biggest value? (a) -3 (b) y (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from {u: 1, m: 2, c: 1, n: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 4*y - 333. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7209780 rounded to the nearest 100000?\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 36 - 1 = 0. Let h(y) = 11*y**2 - 17*y - 1. Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - k + 1. Let q(y) be the first derivative of 2*y - 1\/2*y**2 - 4\/3*y**3 + 1. What is -3*q(g) + 5*t(g)?\nAnswer: 2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -123 + 125. Let t be (-6)\/15 - (-12)\/5. Let q be 5\/t*(-2 + 4). Solve 9 = -n*s + q*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -11 + (13 - -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, g: 1, j: 1, v: 1}. What is prob of sequence sj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/((-6)\/18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-9)*21483\/(-4774).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 0.605, 24, 1\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 + 5*y**2 - 19*y - 4. Let r(o) = -3*o**3 - 4*o**2 + 18*o + 3. Give 5*r(b) + 4*t(b).\nAnswer: b**3 + 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + a = -435001, 0 = 4*g + 2*a - 4*a + 347998. What is g rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/23 + 60\/161. Let o = -3034 + 3042. Do o and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*l = 13, r = 5625*l - 5620*l - 50 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(3*-1)*-37. Let u = 62 - v. What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*s**3 - 12*s**2 + 24?\nAnswer: -21*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249*-138.521.\nAnswer: 34491.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 2*a - a - a in the form g*a + l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -19 + -5 - 8 - (2 - -20).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.3081\nAnswer: -0.12324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1716 (base 11) to base 10\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 974*h**2 + h + 563*h**2.\nAnswer: -411*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.000094416 plus 37?\nAnswer: 30.999905584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 10:05 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 10*h**2 - 24*h. What is the tens digit of f(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 14*p**2 - 15*p - 15. Let q be f(-13). Let j be (((-442)\/39 - -12) + (4 - 1))*3. What is the highest common divisor of j and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2036*1.\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 5355 = -319*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1 + 3 - r + 2 + 2*r. Let o be (-17 - 0)*(2 - 3). Let p be 2\/(-6) - o\/3. Give f(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 495644 or 495643?\nAnswer: 495644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -187 - -322. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513374421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133502 by 12.\nAnswer: -66751\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 31 = -2*p, -o = -2*p - 2*o + 49. Suppose 26*c - 297 = p*c. What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 198.5*1926\nAnswer: 382311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, h: 1, r: 12}. Give prob of picking 1 h and 1 r.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**5*d**(-4))\/(d\/(d\/(d\/(d*d\/((d*d**(-2))\/d)))))**(6\/11))**(-5\/2))**9 assuming d is positive.\nAnswer: d**(1575\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 - 26*r\/11 - 460\/11.\nAnswer: 2*(r - 23)*(r + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - y)*(-2*y**2 - 10*y + 3*y - 4*y).\nAnswer: 2*y**3 + 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132333701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 0*p + 0*p + 3*p + 2*p - 3*p + (0*p - 3*p + 2*p)*(1 + 0 + 0) - 2*p + 0*p + 0*p + 5*p - p - 3*p + 2053 + 1075 - p - 440.\nAnswer: -2*p + 2688","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153 - 51*m**4 + 4*m**4 - 181*m**4 + 19*m**4 + 109 wrt m.\nAnswer: -836*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8392214 + -0.051.\nAnswer: -1.8902214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 15*n**6\/8 + 543*n**5\/20 - 15*n**4\/16 - 205*n**3\/4 - 15*n**2\/4 + 18*n - 338. Find p, given that k(p) = 0.\nAnswer: -12, -1, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 51260.\nAnswer: 461340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7396 - 1572. Is c a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969913 is divided by 171.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152953 is divided by 607.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 4, -2, -22459, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -s + 3*n - 4, 5*n - 26 = -4*s. Suppose 0 = -5*h + 5*o + 35, -2*h + o = 2*h - 22. Sort s, h, -5 in ascending order.\nAnswer: -5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*h + 2. Let q = 7\/2025 + -312262\/2025. Let o = q + 5402\/35. Sort h, 4, o in descending order.\nAnswer: 4, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4836 - 0.4136. What is the third smallest value in 5, z, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -32*y - 7. Let r(j) = -16*j - 3. Let s(i) = -13*r(i) + 6*t(i). Let u be s(1). What is the highest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -38. Let w = x + -17. Let n(p) = p**3 + 5*p**2 - 6*p - 2. Let f be n(-6). Which is the second biggest value? (a) w (b) -1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*h - 4*n + 30 = -6*n, 0 = 2349*h - 2348*h - 4*n + 12 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.94 + -0.06. Let t be (-4)\/18 + 55\/45. Put n, -0.4, t in descending order.\nAnswer: t, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1538\/43, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2653, -10924, -24807, -44302, -69409, -100128?\n\"Answer: -2806*o**2 + 147*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + z**2 - 2*z + 2. Let s be k(1). Let g(i) = -170*i + 7. Is g(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 438*a - 429*a - 162 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-7) - 5504\/56. Let s be (20 + 0)\/((-28)\/c). Calculate the highest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 12*l**2. Let d(y) = 543047*y. Determine m(d(c)).\nAnswer: 3538800530508*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-4)*w**5\/w)**(-14)\/(((w\/w**(1\/2))\/w)**(-5\/8)*(w**(-2\/5))**37) assuming w is positive.\nAnswer: w**(-10041\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2554 + 2680. What is the highest common divisor of 70 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1062 - 2?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujn when three letters picked without replacement from ujnj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -13. Let c = u + 1. What is the nearest to 1\/4 in c, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 + 2*h**3 + 0*h**3)*(-7*h - 16 + 17 + h).\nAnswer: 24*h**4 - 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6470 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 14*o**2 - 88*o - 120. Give k(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 2*z + 4*z**4 + 3*z**3 + 0*z**3 to k + h*z + l*z**3 + f*z**4 + c*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 216 = 2*u + 2*f + 59 + 61, -32*u + 2*f + 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5227*z + 16355 + 1501 = 5723*z for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42\/5 of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77.7 - -61. What is g rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18162*j**2*l**2 + 2*j**2*l - 3*j*l**2 - 692*j*l - 5270*j + 230*l**2 wrt l.\nAnswer: 36324*j**2 - 6*j + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(14*g - 49*g - 11*g).\nAnswer: -92*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 9*o**2 + 29*o**2.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 5 + -2)*(-4)\/10. Put b, -0.5, -2\/7, -5 in ascending order.\nAnswer: -5, -0.5, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224.6 + -225. What is the closest to -0.3 in y, 6, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-9) + 52\/13?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1002 by 6.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 2*i**2 + 3*i - 17. Let a(p) = -5*p**3 - 9*p**2 - 13*p + 67. Determine -2*a(x) - 9*z(x).\nAnswer: x**3 - x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4371 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -92*a**5\/5 - 29*a**2 - 101*a. Differentiate s(c) wrt c.\nAnswer: -1104*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/27250 or 1?\nAnswer: 1\/27250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 6*t = 12. Solve -t*u - 15 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43400000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 2*f**4 + 83*f**3\/3 + 1124*f**2 - 1777. Find the second derivative of y(d) wrt d.\nAnswer: 48*d + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/39 - 100\/520)\/((-1)\/30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424 divided by 2424?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49911533*k**3*r**3 + 60*k**3*r**2 + 2*k**3*r + 926*k*r**2 + 73*k*r + r + 1 wrt r?\nAnswer: -299469198*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*v = 271*v - 16171. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19983.270417 and 109.\nAnswer: -19874.270417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -329*o + 14094. What is f(43)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246329983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 11:26 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1550 and 69626.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 8*m - 3*i - 862, -2*i = 2*m - 1692. Suppose 15*d = 13*d + m. Does 47 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 121, 298, 473, 646, 817, 986?\n\"Answer: -i**2 + 180*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 3 = 4*r - 2*c, 0 = 4*r + 3*c - 51. Suppose 6*m - r = -3*m. Do -1\/5 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2 + 0)*(-9 + 9)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + -2?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.36 + 341.64. Let q = o - 337. Which is the closest to q? (a) -0.5 (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - (sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76)*3 - sqrt(76) - sqrt(76)))))\/(sqrt(4) - (-1*sqrt(8))\/sqrt(2)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 148376.203101+568\nAnswer: 148944.203101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 1 - -3 - 1. Let a(b) = b**3 - b**2 + 3. What are the prime factors of a(z)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + (-32)\/(-18). Suppose -2*q = b*q. Which is smaller: -1\/3 or q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Suppose -3*f = 4*f + 7. Let k be n(f). Calculate the remainder when (-302)\/(-12) + k\/36 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5843 - 12970 = -2263*o + 21921 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74*c**4 - 25308 + 26256 - 364*c**4 - 167*c**4 wrt c.\nAnswer: -2420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3438 + 3208. Which is smaller: -233 or i?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o - 4*o - 2*o + 6*o - 2*o - o + 2*o - 2*o + (1 + 1 + 0)*(-1 + 1 + o) - 2*o - 4 + 4)*(-3*o**2 + 0*o**2 + o**2).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 938 = -2*w, -3*l - 11*w + 12*w + 937 = 0. Which is greater: 314 or l?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 + 100. What is the remainder when 2\/1 + 33 + (-5)\/1 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*k - 43 = 0, 3*p = 3*k + 52 - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15356 + -15352. Solve -4*b + 26*p = 30*p + 8, w*p = -5*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r\/r**(-6)*r)\/r)\/r)\/r**(-6))**24 assuming r is positive.\nAnswer: r**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + (3*sqrt(125) + 1)**2 - ((2*-3*sqrt(125))**2 + 3*(0 + sqrt(125) - sqrt(125))**2)) + -1.\nAnswer: -3378 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4893 is divided by 121?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 263352 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -16*m**3\/3 + 4*m**2 - 9*m. Find the first derivative of c(s) wrt s.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 3461084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 10:39 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(171) + -2 - sqrt(171))*-2)**2*-3 + (2*-1*sqrt(171)*-5 + -3)**2 + 4.\nAnswer: -180*sqrt(19) + 17209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -28*g**2 - 23*g - 2. Let z(a) = -a**2 - 3*a - 1. Let m(n) = -u(n) + 2*z(n). Let d(f) = 9*f**2 + 6*f. Let t = 10 + -27. What is t*d(b) + 6*m(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1579 + 374 = -3*s, 604 = 2*y + 2*s. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60.99804 - -61. What is c rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 6 = 2*x, 2*a + 11 = 3*x + 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*k - 478741 = -196*k + 289229. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -40, 5\/3, 0.5, 5.\nAnswer: -40, -0.1, 0.5, 5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1118874225 to 5 dps.\nAnswer: -0.11189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 3.2. Let j = 1.7 - 30.7. Let n = j + z. What is n rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyqqyqyqyyyqq. What is prob of picking 1 q and 2 y?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182039*f*v**3 - 104*f*v**2 - 10*f*v - 2*f + 2 wrt v.\nAnswer: 1092234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 241*z - 7 + 4 + 11 + 468*z.\nAnswer: 709*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -89448187 rounded to the nearest 10000?\nAnswer: -89450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p. Suppose -3*a + p = -6. Suppose -a*t + 48 = -134. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*q - 3*q - 2 = 0, 2*d = -2*q + 4. Calculate the lowest common multiple of -1 - d - -3*5 and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 3570 = 68*l + 59*l - 43*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(-7)*-1 - (-2)\/(-7). Solve s*a = -a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 5*u**2. Let f be t(-5). Let v = 1 + -0.6. Which is the second smallest value? (a) f (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 126?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -441*s**5\/20 - 359*s**2\/2 - 2*s + 151. Differentiate z(r) with respect to r.\nAnswer: -1323*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3022 divide 168663864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 993 + -993.1242. Let w = -0.0263 - t. Round w to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -39. Let m = s + -4. Let n = m - 26. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2648*d - 463406. What is x(175)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36685 by -580.\nAnswer: 253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364772 (base 10) to base 5.\nAnswer: -43133042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/12)\/((-2)\/(-39)). Suppose -2*y = u - 5, 3*y + 3*u - x = 7*u. What is the second derivative of 4*m**y + m - 3*m**3 + 0*m**3 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011010 (base 2) to base 5.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -169*p + 1234 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 0 + 0 - 2*g**2 - 19214*g + 5*g**3 + 19214*g.\nAnswer: 6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 68 = -28. Let s be r\/25 - 14\/10. Let t be 1 - 199\/s*(11 - 10). Calculate the greatest common factor of 40 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27e5e + 9d?\nAnswer: 27efb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwyrwrywzkwwrwzy. Give prob of sequence zkr.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -598207*h**3 - 614107?\nAnswer: -1794621*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -23*v**4\/24 + 5*v**3\/3 + 4*v**2. Let c be m(-5). What is the highest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(3*(sqrt(720) - (sqrt(720) + 0)) - ((sqrt(720) - sqrt(720)*-2) + sqrt(720) + 3)**2).\nAnswer: -138348 - 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-3)*c)))**(-43)*(c**1)**(-2\/23) assuming c is positive.\nAnswer: c**(1976\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 31 = 2*v + v, 5*q + 65 = -5*v. Suppose -74 = 3*j + r, -2*j - j = -2*r + 59. Let d = q - j. Solve -5*t = 3*o + d, -2*t = t + 4*o + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -1\/20*y**6 - 3*y**2 + 0 - 1\/2*y**3 + 1\/4*y**4 + 0*y**5 + 0*y + 1\/70*y**7. Factor d(n).\nAnswer: 3*(n - 1)**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101445 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321011 (base 4) to base 6.\nAnswer: -24525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p - 1. Let n be z(3). Let r(c) = c**3 - 7*c**2 - 7*c - 7. Let o be r(n). Let s(d) = 79*d**2 - 1. Is s(o) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*u - 4 + 12 = 0, 0 = -5*k + 3*u - 29. Let p be 180\/99 - k\/(-66)*-3. Suppose -344 - 4*a**p + a**3 + 344 = 0. What is a?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -368 (c) -3 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2066 + -1455. Let g = v - 524. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 11:22 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1)*h))\/h)**(-13)*h\/h**9*h*(h*h**(1\/6))\/h*h*h*h assuming h is positive.\nAnswer: h**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 + -0.61. Let p = -0.2 + m. Are -52 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1620547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*o*p**2 - 12*o*p + 112*o - 29*p**2 + 30*p - 10 wrt o.\nAnswer: -8*p**2 - 12*p + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: dcb4b (base 15) to base 2\nAnswer: 10101011001011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*i**2*v**3 - 282*i**2*v - 3*i**2 + 904*i wrt v?\nAnswer: -132*i**2*v**2 - 282*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 + 3*b**3 + 32 + 34 - 42*b as k*b**2 + d + g*b + q*b**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 3) to base 9\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0319 and 3.\nAnswer: -3.0957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 + -4 - (2 - 2). Let t = 5 + -8. Let v = t - w. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8\/3)*o*(o\/o**(-8\/7))\/o*o assuming o is positive.\nAnswer: o**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1483 + 1485. Let a be 1\/(-3)*1*-5. Sort 3\/2, a, z in ascending order.\nAnswer: 3\/2, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*i - 14. Let j(w) = w**3 - 5*w**2 - w + 6. Let g be j(i). Let t(r) = -10*r + 1. Calculate t(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**4*b - 20*a**2*w - 3*b*w - 14*b + 1 wrt a?\nAnswer: 4*a**3*b - 40*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 303, 638, 1135, 1836, 2783?\nAnswer: 4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let y be (-3)\/9 + (-1)\/x. Which is the nearest to y? (a) 1 (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y - 2*y**2 - y)*(-4*y + 11*y - 25*y).\nAnswer: 36*y**3 + 54*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(300)*-3 + (-1 + 2*sqrt(300) - sqrt(300))**2 - (((sqrt(300) + -3)*6 + sqrt(300))**2 + 2)).\nAnswer: -2620*sqrt(3) + 14725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 12*d**2 - 4*d - 8. Give k(12).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -570 - -594. Let i(w) = -60*w - 24. Let v(h) = -12*h - 5. What is g*v(u) - 5*i(u)?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxxi when four letters picked without replacement from dnfndxrxnfdi.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*x - 13 - 37, 6*n + x = 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 26*a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/1651 and -109\/11890.\nAnswer: 19630390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 6*t. Let w be r(5). Suppose 2*h + 8 = 4*h. Suppose h*u + u - 70 = 0. Solve -u - 11 = -w*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7555 + 4628 - 35918 = -457*a for a.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7018 and 21692.\nAnswer: 238612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 140*x**3 - 68*x**2 + 6*x + 5. Let q(l) = -139*l**3 + 54*l**2 - 5*l - 4. What is 5*q(u) + 4*y(u)?\nAnswer: -135*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 5*f + 18*f + 0*f**2 - f**3 - 5*f**3.\nAnswer: -6*f**3 + 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1223 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312\/11 + 6273\/220. Let h(m) be the second derivative of -s*m**5 - m - 1\/6*m**4 + 0 + 0*m**3 + 0*m**2. What is the third derivative of h(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 670, 660, 650, 640, 630?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 22. Suppose -4*h + 5*j + 149 = 0, 2*j + 1 + 1 = f. Calculate the greatest common factor of 144 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -1. Let b be ((-7)\/(-1) + -5)*(-15)\/30. Let r be 2*1*5\/(-2). Sort r, 1, j, b.\nAnswer: r, b, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*k - 4335, -1423 = -9*w + 8*w - 5*k. List the prime factors of w.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32437469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258236.\nAnswer: 2, 3, 7, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.000114 - -59. Round g to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153292 is divided by 1991.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14031 is divided by 825.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-24))\/(k\/k**(-2\/7)))\/(k**(-5\/6)*k**(-11)) assuming k is positive.\nAnswer: k**(1493\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2. Let z(i) be the first derivative of -59*i**2 - 16 + 4 + 60*i**2. Give u(z(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -24, 1\/11 in decreasing order.\nAnswer: 1\/11, 0.07, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -16, -43, -92, -169, -280?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -1 + 0 + 3 + 22. Let u(g) = 0*g - 27*g - g**2 + l*g. Let s(n) = -16*n**2 + 12*n. Calculate -s(w) + 12*u(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1196173976 and -1992.\nAnswer: 1196171984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 34. Let y(h) = h**2 + 10*h + 8. Let b be y(-6). Let n = b + 24. Calculate the greatest common divisor of p and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 4, r: 2}. What is prob of picking 3 m and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/(-48))\/((-4)\/6). Let i(a) be the first derivative of -5*a**2 - 2 + 1 + 0 + a. What is i(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6366*t**5 - 4863*t.\nAnswer: 127320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 3*y**4 + 2*y**4 + (y - 3 + 3)*(y**3 + 3 - 3) - 2*y**4 - y**2 + y**2 + (-173*y**2 + 173*y**2 + 65*y**3)*(2*y + 0 + 0).\nAnswer: 128*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1251889 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142292766 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/(2\/6). Let x(m) = m**3 - 7*m**2 + 7*m - 2. Suppose -2*w = -5*h + 22, -4*h = w - 3*w - 16. Let c be x(h). Sort -4, c, t in increasing order.\nAnswer: -4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80608560 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.48 + 0.5. Let q = b + 1.98. Sort q, 3\/5, 0.\nAnswer: 0, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 41293?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 10}. Give prob of picking 1 e and 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 9062?\nAnswer: 90620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8158?\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*s + 562, 0*s + 1634 = 6*y + 4*s. What is the highest common divisor of 605 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-30)\/4)*3. Let c(j) be the first derivative of -1\/2*j**4 + 0*j**2 + 0*j - d + 2\/3*j**3. What is the third derivative of c(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**4\/24 + g**3 - 13*g**2. Let v be f(2). Is ((-521)\/3)\/(1 - v\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {x: 2, f: 2, d: 2, q: 3, n: 2, t: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*b - 9, -5*b = -3*v + 4*v - 18. Let h be (1\/v)\/((-9)\/135). Sort 1, -2, h, -1.\nAnswer: h, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 110. Suppose 4*c + 4*w - s = 0, -2*w = -4*w + 2. Differentiate -18*g - c + 6 + 0 wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23810 by -204.\nAnswer: 11905\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*d**6 - 457777*d**5 + 8*d**2 + d - 192483 wrt d.\nAnswer: 5040*d**3 - 27466620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -2. Let f be (9\/18)\/(2\/w). Is f*1\/(-1) + 70 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 187, 0.1, -9\/5, 2\/349, 3?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10179 - 9292. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12139, 26998, 41845, 56674, 71479, 86254, 100993, 115690?\nAnswer: 130339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 6*q - 2. Let t(b) = 2*b + 1. Let a(s) = 3*s + 2. Let i(j) = -a(j) + 2*t(j). Determine 3*i(w) - x(w).\nAnswer: 2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -13105?\nAnswer: 13106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 739015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.6925 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 6*w**3 + 4*w**3 - w**3 + 1622*w - 240*w.\nAnswer: -w**3 + 1382*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.156 + 0.4726556088.\nAnswer: -0.6833443912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1. Let n(h) = -h**3 - 2*h**2 + 2*h - 1. Let i be n(-3). Let d(m) = 4 + 2*m - 5*m + i*m. Suppose 2*b + b = -12. Determine b*o(p) - d(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.53 - -246.47. Let l = -111.1 - 184.1. Let z = j + l. What is z rounded to zero dps?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/2)\/w*w**(-2\/3)*w*w**(2\/23)\/(w*w**(-12)))**24)**35 assuming w is positive.\nAnswer: w**(230300\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3650 (base 8) to base 6\nAnswer: -13024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + (-1164)\/90)\/((-14)\/35).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let z = m + 4. Suppose -k - 274 = -z*q, 7*q - 2*q = 5*k + 290. What is the greatest common factor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 4, -2\/15, 57, 9 in increasing order.\nAnswer: -2\/15, 2.2, 4, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/3 - 19*c**2\/2 + 4*c - 726. Give q(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3 = -4*p - 17, 0 = 5*p + 3*z + 24. Let v(c) = -2*c + 12 + 4*c + c - 5*c - c**2. Let a be v(p). Is a greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.143 less than 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**5 + 182748*w**3 - 11099076*w wrt w.\nAnswer: -60*w**3 + 1096488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 53 + 15*a**2 + 48 - 159 - 4*a**2 + 58. Let d(c) = -805*c. Let i(g) = -26*g. Let l(t) = -2*d(t) + 63*i(t). Calculate l(k(f)).\nAnswer: -308*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000521 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**2*c)*c*c**6)**42 assuming c is positive.\nAnswer: c**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51899913?\nAnswer: 3, 13, 147863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 10*x + 35. Let t be b(-8). Let p(w) = -15*w - 187. Does 7 divide p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -3\/7 (c) -1 (d) 1 (e) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c\/((c\/c**24)\/c*c))*c)**(8\/3))**38 assuming c is positive.\nAnswer: c**(-6992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 2. Let w be x(-2). Let v = -279 + -477. Let z = -744 - v. Are z and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.16 and 9392 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193.68 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292678 = -2952*z - 1940*z + 94*z for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16467261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 522?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-416)\/(-3)*(-54)\/(-18). Suppose 677 = 2*x - 4*v - 153, -w = -x + 3*v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60641976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 611 + -609. Solve 3*g - 3*h = m*h - 4, -5*g = h + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + g**3 - 2*g**5 + (-3 + 3 - g)*(-6*g**4 - 3*g + 3*g).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3866 + 4034. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 192646146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:31 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/50)\/(826\/(-3540))*(-8)\/((-32)\/60).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39110 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15715264291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15105013 (base 6) to base 14.\nAnswer: -d8397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4537260, 9074524, 13611788, 18149052?\nAnswer: 22686316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35790 + 5\nAnswer: 35795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 74*u - 338, -3*u - 47 = 92*k - 90*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 142*z**4 - 5440*z**3 + 27744*z**2.\nAnswer: -z**2*(z - 68)**2*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/6*c**3 + 0 - 9*c - 1\/2*c**2. Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1408 divide 5123712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 4. Let k be m(0). Put 25, -3, k in decreasing order.\nAnswer: 25, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 37*i**2 - 20*i + 781. Give m(19).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -179986, 0.3, 1\/3, -0.4, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 433 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 39481*l**2 - 118403*l + 7. Give w(3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/72*(-18)\/90*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 2. Let s be y(-6). Let i = s - 4. What is the least common multiple of i and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 2347 = -0*s + 2163 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 79096607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 5*b + 65, -13*b - 43 = -6*w - 18*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2298 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(1209\/(-10)))\/(27\/((-8910)\/(-275)))?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5802 - -60347. List the prime factors of c.\nAnswer: 5, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/960 and 55\/4.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 4. Let j(v) = -9*v + 20. Let i(g) = -j(g) + 5*m(g). Let w(a) = -9*a. Calculate 6*i(q) - w(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g\/(g\/(g*g**(15\/8))*g))*g)*g\/(g\/(g**22*g*g*g*g)) assuming g is positive.\nAnswer: g**(215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 68, 227, 532, 1031?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/457 and 85\/2157172.\nAnswer: 985827604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13869077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31\/2 - -14. Let d = -24.6 - -24.56. Sort d, z, 3.\nAnswer: z, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470 divided by -5366?\nAnswer: -1735\/2683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 - 4*f**2 + 2*f - 1. Is 10 a factor of x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.09106 and -1608633412.\nAnswer: -1608633412.09106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4928 + -4849. What is the greatest common factor of 1659 and g?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 2*c**4\/3 + 39*c**3\/2 - 136*c**2. What is the units digit of h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/314010 and 61\/146538.\nAnswer: 2198070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 52*g + 85. Let v be z(-7). Let q = -279 - v. Factor -1\/2*r**3 + 1\/2*r**2 + 0 + q*r.\nAnswer: -r**2*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1*(-765)\/6. What is the highest common divisor of o and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 136*g - 85. Let x be z(1). Which is greater: x or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6961 = 3*k + 913. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 909, 894, 863, 810, 729, 614, 459?\n\"Answer: -j**3 - 2*j**2 - 2*j + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/22)\/(5*12\/(-990)). Let o be ((-8)\/(-6))\/((-3)\/(-9)). Solve -o*v = -2*c - 2 + s, 0 = 2*v + 5*c - 22 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 11.7. What is the smallest value in 2, 1\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -17\/4?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 447 and 52567200.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5*p + 4*l - 20, 5*l = 4*p - 19. Let n(r) = 7*r + 1. Let g be n(p). Calculate the highest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14300\/3 or 4768?\nAnswer: 4768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*v - 835 = 121 + 2124 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {t: 3, n: 4, c: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3832 + -3376. What is the highest common divisor of p and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(-1\/4)*y)*y))\/y*y**(-2\/33))\/(y*y*y**0)**27 assuming y is positive.\nAnswer: y**(-7301\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*k + 26*k + 29*k)*(6 - 1 + 2) to the form p*k + b and give p.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 9*x - 3. Let k be y(6). Let i = k + -9. Let d(j) = -4*j + 11. Let c(s) = -7*s + 21. Let b(l) = -3*c(l) + 5*d(l). Calculate b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6*15\/100*-5)\/(4\/704).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -383.\nAnswer: 18\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120922954 * 0.7.\nAnswer: 84646067.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 + 3*a**3\/2 - 3*a**2 - 3*a. Suppose 5*p + 63 = -2*y, 3*y = 3*p - 2*y + 13. List the prime factors of n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189241?\nAnswer: 13, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*v + 9*o, 0 = -2*v - 954*o + 956*o + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 8\/3 (b) 5 (c) 9 (d) 259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwwywwwwzyw. Give prob of sequence zyz.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 90304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 7 - 7) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/12 - -8 - ((-880)\/925 - -5). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1230.3066 - 1230. Let w = 0.0933 + a. Let y = 0.4 - w. What is y rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 3*m - 4. Suppose 0 = -y + 6 - 2. Suppose l - y = 4*a, -5*a = 3*l + 2*l + 30. Give f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(-3 - (-32)\/12). Suppose -39 = a*f - 63. Solve f*j - 3*j + 12 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-181)\/(16290\/5))\/((-2)\/(-15)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(6\/13))**(-28) assuming q is positive.\nAnswer: q**(-532\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6529 - -306850\/47. Is -1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 + 3*t**2 - 8*t**2 + t**2 + 2*t**2.\nAnswer: -8*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901414?\nAnswer: 2, 450707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 3, -0.4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * 30981.72.\nAnswer: 4957.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose -2*c = -n*i, c + 4*i = -c + 12. Suppose 3*g - 2*g + 4*w + c = 0, g = -2*w. Solve -4*t + 12 = -3*y, -g*y - y - 9 = -3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 31*l**2 + 143*l - 175.\nAnswer: (l - 1)*(l + 7)*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 + 1. Let s be l(-1). Suppose -4*j - 5 = -21. Let x = s + j. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 2433. Let v(n) = -12*n + 14598. Calculate -13*m(a) + 2*v(a).\nAnswer: 2*a - 2433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503\/5 - -3023\/30. Which is the nearest to 3? (a) y (b) -0.5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 29 - (1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41021319.\nAnswer: 3, 13673773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5041.\nAnswer: 4\/5041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 259485605 a multiple of 965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*q + 14, 0 = 5*q + 2*c - 8 + 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -212.3 + 224. Round j to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - (-27 + 24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*o**2*z**2 + 16*o**2*z - 3*o*z**2 - 2*o - 239*z**2 + 2*z wrt o.\nAnswer: -206*z**2 + 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 26*y + 1 + 36*y.\nAnswer: 82*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 39*o**2 - 36*o.\nAnswer: 3*o*(o - 4)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -0.176, -0.2, -2, -450 in increasing order.\nAnswer: -450, -2, -0.2, -0.176, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from vvvlvltlxvlxlvlllvvl.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 74213, 148606, 223011, 297434, 371881, 446358?\n\"Answer: l**3 + 74386*l - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/608)\/((-72)\/(-1026))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 17*j + 905. Calculate d(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/10, 0, 0.1 in descending order.\nAnswer: 0.1, 0, -7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9940\/21 + 2\/3?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7527 - -7526. What is the closest to -22 in 4, -5, n, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfm. Give prob of sequence mmf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6558)\/(-144276) + (-397)\/22.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 6*t + 7*t)*(3*t - t - 3*t)*(-28*t - 30*t + 5*t).\nAnswer: -212*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 19. Let y be x(7). Suppose 4*s - y*q = 347, 0*q = 4*s + 4*q - 392. Find w, given that -s*w**4 + 95*w**4 + w**3 + 4*w**3 + 2*w**2 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1202 + 1270. What is the greatest common divisor of f and 1972?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 9*a + 3 = 0. Solve -5*r + 5 = 2*x - a, 15 = -5*r + 5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (-11 - (26 + -3 + 0 + 5))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:24 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1711*o**3 - 2 + 3 + 225882*o - 226237*o wrt o.\nAnswer: 10266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**8)\/(q\/(q\/q**6)))\/(q**1)**(-2\/5) assuming q is positive.\nAnswer: q**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 - 10428*p - 9061932 = 0?\nAnswer: -1738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 21*z**2 - 10*z + 9021. Let h(v) = 6*v**2. Give b(h(r)).\nAnswer: 252*r**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-154) + ((-443)\/66 - 40\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278365110 to the nearest integer?\nAnswer: 16684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -90. Let w be (-14)\/r - 172\/198. Is w less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127885521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 828716 and 4557938.\nAnswer: 9115876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 5*b**2 + b - 4. Let u be h(2). Suppose -5*o + 19 = -1. What is the highest common divisor of o and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 0. Suppose 5*y - 2*p + 22 = -0*y, p = -5*y - 19. Let j = h - y. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 166 + 263 = 4*o, 2*i = 3*o - 293. Calculate the remainder when o is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, -3, 5, 41 in ascending order.\nAnswer: -3, -2, 5, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082586?\nAnswer: 2, 3, 680431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(1\/(-6)). Let h(q) = 3*q - 1 - 3*q - 6*q - q - q**2 + q**3. Let b(a) = 3*a**3 - 2*a**2 - 22*a - 2. Let l(s) = 2*b(s) - 7*h(s). Calculate l(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24552120 to the nearest integer?\nAnswer: 4955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163*m*r**3 + m*r**2 - 5001*m + 9485*r**3 - 37*r wrt m.\nAnswer: 163*r**3 + r**2 - 5001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, i: 2, c: 2, h: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/(-12) - 3)*-12. Let y = u - -19. What is the highest common divisor of 90 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98971*l**3 - 3195*l**3 + 2990*l**3.\nAnswer: 98766*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-8)*(462\/(-90) + 5). Let w be ((-3)\/(-5))\/((-2)\/10) + 0. Which is the nearest to 1? (a) y (b) -0.4 (c) 2.5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 662135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5 - 4. Suppose -5*c + 8 = -0*b + 2*b, -c + u*b + 5 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2938 divided by 13.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (-14 - (54 - 1 - -17)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2166 and 570?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Let c(f) be the second derivative of -11*f**7\/126 + 2*f**4\/3 - 6*f - 2. Let a(t) be the third derivative of c(t). What is a(h(p))?\nAnswer: -220*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 - 2 + (1 + 0 + 0)*(2 + 3 + 4))*(-4 + 4 + 2*c).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i**2 - 20*i**2 + 13*i + 23*i**2)*((-2 + 2 - 1)*(-i + 2*i - 3*i) + 0*i - 3*i - 2*i) in the form y*i + f*i**2 + m + o*i**3 and give f.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -3*k + 17*k - 25 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 + 2*g + 1. Let a be m(3). Let d be 9\/(-6)*a\/1. Factor -3*o + d*o**2 + 2*o - 12 + 10.\nAnswer: (o - 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(-4) - (-14)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = 4*z - 1, -4*u + 15 = z. Let p = 23 + -19. Solve 0*n + n - 4*o + 1 = 0, p*n - 5*o = -u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 2*t**2 - 2*t. Let s be n(2). Let m = 10554 - 9358.8. Let z = 1195 - m. What is the third smallest value in -1, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 36735?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112378 by 56189.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(7) + -1) - (sqrt(7) + sqrt(21)\/sqrt(3) + 0))*3.\nAnswer: 9 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 2*b + (3 - 3 - 4)*(3*b + 2*b - 4*b))*(b + 0 + 0 + 2*b + b - 2*b + (4*b + 2*b + 2*b)*(0 + 1 + 0))*(-5 - 2 + 5).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1446, 5, -4, 554 in decreasing order.\nAnswer: 554, 5, 2, -4, -1446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -31 - 5 + 12 + 2*d + 6*d. Let a(o) = o - 1. What is -24*a(p) + w(p)?\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 56 = 17*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00082596318 to 7 decimal places.\nAnswer: 0.000826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0.3. Let n = s + -0.4. Which is the smallest value? (a) 1\/6 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 167298880 to the nearest one million.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 3*j + 2*j**3 - 2 + 2 + 2*j**3 + (-j**2 - 4*j**2 + 3*j**2)*(-2*j + 0*j + 4*j) - 3 - 2*j**3 + 3 + (-2*j**2 - 3*j**2 + j**2)*(4*j + 3*j - j).\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) 3 (c) 5\/3 (d) 1798.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 3\/3)*2. Let r be ((-75)\/10)\/(q\/4). Calculate the highest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u**2 - 22*u + 6*u + 17*u + 3. Suppose 4*f - 5*w + 17 = 0, f + 3 = 3*w - 3. Is s(f) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1582*v + 40 = 1577*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 + -3) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/(4\/23989) - (403\/124 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -131. What is the third derivative of 15*b**5 + w*b**2 - 23*b**2 - 17*b**2 wrt b?\nAnswer: 900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 7977?\nAnswer: -7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 64415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-150))\/(3\/(3*-15))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133627 divided by -1.\nAnswer: -133627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/3648 and -85\/2736.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1550739 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.95 + 0.05. Let m(c) = 2*c**3 + 2*c**2 + 9*c - 18. Let a be m(3). Let o be (18\/(-5))\/3*(-27)\/a. What is the second biggest value in -3, o, 6\/5, p?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1304232432 (base 5) to base 7\nAnswer: -36110522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-12))\/((-6)\/(-48)). Let h be 27 - (-15)\/90*j\/1. What is the nearest to 0.1 in 0.1, h, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 16 = -5*h - 8 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.62571828 rounded to three decimal places?\nAnswer: -4.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/4)\/u)\/(u*u**5\/u))\/(u**4\/u**(2\/7)) assuming u is positive.\nAnswer: u**(-293\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5963 in decreasing order.\nAnswer: 4, 0, -5963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n + 3. Let r(i) = 232*i**2 + 207*i**2 + 236*i**2 - 699*i**2. Determine k(r(w)).\nAnswer: -72*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -14*y**3 - 5*y**2 - 6*y + 733. Let b(a) = 20*a**3 + 7*a**2 + 9*a - 1100. Let i(r) = 5*b(r) + 7*s(r). What is the first derivative of i(w) wrt w?\nAnswer: 6*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 80 = l, 4*l = -5*c + 319. Suppose 5*s = 0, -s = 5*w - 9 - 101. Calculate the remainder when l is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1829065 equal to -1829065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c - 60. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 2820390*a**2 + 25383145*a - 22562760.\nAnswer: 5*(a - 564069)*(a - 8)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.8814us in seconds?\nAnswer: 0.0006168814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.89 + 7.89. What is the closest to 0.01 in 4, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -0.06023039348.\nAnswer: -3.06023039348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**5\/5 - 96*x**4 + 37584*x**3\/5 - 277888*x**2\/5 + 540672*x\/5 = 0.\nAnswer: 0, 4, 88, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399)\/(-84) + 6570\/584.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 111301?\nAnswer: -111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and -49.\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 469320 = 94890. Suppose 4*c + 6310 - m = -3*a, -4*a = -2*c - 74786. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121250454*h**6 - 828*h**2 + 70153*h wrt h?\nAnswer: 14550054480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 divided by 4136?\nAnswer: -465\/4136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10481, -10633, -10785, -10937?\n\"Answer: -152*s - 10329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (-20 - (5 - 34)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2518 (base 10) to base 5\nAnswer: 40033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + x + 9 = -2*x, 4*q = 5*x + 12. Suppose 3*i = a - 0 + q, 5*i - 4*a = -2. Factor -z + z - i*z**4.\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/5 and (2\/(-22))\/((-5140)\/(-590) - 9).\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8552339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32412184, 64824385, 97236584, 129648781, 162060976, 194473169?\nAnswer: 226885360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(1 - (4 + -2)). Let b(n) = 2*n + 4*n + n - 6*n + 6. Let i be b(-5). Put i, a, -1 in descending order.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**3 + 6*j**3 - j**3)*(-4 - 1 - 3)*(-8 + 2 + 0)*(2 - 2 + 2)*(-6 + 2 + 5).\nAnswer: 1152*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 1167606 = 12930. Suppose -3*x + m = 5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - 68\/(-10). Let h = o - -15. Calculate the remainder when (430\/((-30)\/6))\/(-1) is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 188 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2780799*p**4 - 19700645*p.\nAnswer: 33369588*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((5 - 6) + (0 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19 + q + 64 - 22. Let t be a(-19). Suppose 12 = -3*p, 4*c + 0*c - t*p - 52 = 0. What is the smallest common multiple of 8 and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01591 - 0.525051.\nAnswer: -0.509141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 19*v + 70. Give c(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/((-14)\/49 + 130\/420)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12369194 or 12369203?\nAnswer: 12369194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41\/3 (b) 0.4 (c) -3 (d) -10635 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 15. Let q be 136\/r + (-9)\/(-27). Suppose -2*x - 3 = -4*s - q, 0 = s. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 + 25*h**2 + 7*h + 10. Let s(k) = 3*k**3 + 37*k**2 + 10*k + 15. Let i(o) = -5*s(o) + 7*x(o). Let j be i(-10). Put 3, j, -2 in decreasing order.\nAnswer: j, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -1\/6*b**3 - 7*b**2 - 2 + 1\/12*b**4 - 4*b. Determine c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/24 + j**3\/6 + 16*j**2. Let y be r(-7). List the prime factors of 8\/y - 495\/(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knzn when four letters picked without replacement from nnuzzk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 136. Put i, 3, -0.07 in decreasing order.\nAnswer: 3, -0.07, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*(-4)\/6. Let h = -4 + 3. Let f = h - -3. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 107. Suppose 0 = -2*m - 2*m - i*b + 382, -4*m + b = -379. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 795, 2910, 7025, 13806, 23919?\nAnswer: 38030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-q**3 + 0*q**3 + 2*q**3) + q - 29*q**2 + 29*q**2 + 8*q**3 + 2*q - 9*q**3 + 6*q**3 - q.\nAnswer: 6*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8752 divided by -951.\nAnswer: 8752\/951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.982 + -0.018. Sort -0.1, d, -7 in ascending order.\nAnswer: -7, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*p**2 + 75*p**2 + p - p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**2\/2 + 31. Let c be s(0). Suppose -d - 4 + 7 = c. Solve q - g - 6 = 0, 3*q - d*g = -2*g + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u - 296 = 2*t, -3*u + 4*t = -212. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-42)\/7*4\/6. Let h be (l\/10)\/((-1)\/(-5)). What is the units digit of (2\/h)\/((-8)\/208)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/186625?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2952 by 6.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 7. Let k be j\/(-2)*((-1)\/3 + 1). Let o be (k\/(-1) - 0)*(-6)\/2. What is the greatest common factor of o and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 900 and 21?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -441 at least as big as -441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -757, -1451, -2143, -2833, -3521, -4207?\n\"Answer: n**2 - 697*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + p)*(-3*p**4 + 2*p**4 + 1 + 4*p**4) + 3*p**5 - 2*p**5 - 3*p**5.\nAnswer: -8*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 9*z - 11. Let a be b(6). Let h(n) = 9*n**3 - n**2 - 3*n + 1. Let k be h(2). What is the greatest common factor of k and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:24 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 20. Let p be v(-14). Suppose 4*x + u = 48, p = 3*x + 7*u - 2*u. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.08, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42146262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/936358 and -22\/10127?\nAnswer: 12172654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 9\/6)*0. Suppose 4*m + 0*m + 5*i - 13 = c, 0 = -2*i + 2. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2338359496.\nAnswer: 2, 11, 67, 396601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 648 - 942. Let m = y + 1765\/6. Factor m*s**3 - 1\/2 - 1\/6*s**2 - 5\/6*s.\nAnswer: (s - 3)*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/11, -1.4, -0.7, -1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -12. Let o = j + -5. Let m be (-2)\/8 + (-4959)\/o. Round m to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = -5 + 47. Let b = -11 + 25. Solve m*s + 4*x - 25 = -x, -3*x - b = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*v - 6. Let j(n) = n**2 - 12*n - 6. Let z be j(v). Suppose 2*h + z*w - 3*w = 438, 0 = w + 2. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -i + 4*i. What is the smallest common multiple of (8 - -1)*(0 - -1) and i + (-1 - 2) + 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 26 = -12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*f = -29 + 4, 65 = 5*u + 5*f. Let s = u + -7. Calculate the smallest common multiple of 4 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18734, -18712, -18630, -18458, -18166, -17724, -17102, -16270?\n\"Answer: 5*h**3 - 13*h - 18726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54250593*a**2 + 2*a - 33641130.\nAnswer: -108501186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*a = 427*a - 185581. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Suppose -2*y = y - 2*i - 145, 0 = r*y - 5*i - 115. Suppose -9 = -3*w + y. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + -1 + 4 + 0 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 1352, 3682, 7886, 14534, 24196, 37442, 54842?\nAnswer: 76966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1113.39 and -266?\nAnswer: 296161.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21*(-5)\/(75\/5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 67. What is the second derivative of 2*r - o*r**4 - 23*r**4 + 25*r**4 wrt r?\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-10 - 1) + 188 + -170 - (-5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7*(-328806)\/(-126))\/(-1 + 1 + 1). What is g rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394*s**4 + 437*s wrt s.\nAnswer: 4728*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3441 divided by -37\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {a: 2, l: 4, x: 2, h: 3, u: 2, r: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 - 6463 = -2*t + 5*v, 14397 = 5*t + 2*v. Suppose -16*f = -3935 - t. Calculate the remainder when f is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, 4, -1, -4\/7, -46, 0.1, -19?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**2 - a - 2. Let h(w) be the third derivative of w**6\/120 - w**5\/60 + w**4\/24 - w**3\/6 + 3*w**2. Let r(p) = -c(p) - h(p). Is 3 a factor of r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:06 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202 (base 3) in base 13?\nAnswer: bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6435578877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144907 rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 29 = -45. Calculate the remainder when b is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194659976.\nAnswer: 2, 7, 263, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.41, -0.1327, 4.\nAnswer: -0.41, -0.1327, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 11*v + 5. Calculate d(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4\/o**6*(o\/(((((((o\/(o\/(o*o*o**(3\/2))))\/o)\/o)\/o)\/o)\/o)\/o))\/((o\/(o\/(o*o**(2\/3)\/o)))\/o) assuming o is positive.\nAnswer: o**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 54, -1, 2, -9, 0, 161 in increasing order.\nAnswer: -9, -3, -1, 0, 2, 54, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5807490 divided by -5.\nAnswer: 1161498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1154426?\nAnswer: 1154422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 4*b**2 - 2*b + 1. Let r be p(2). Let n = -42 - -58. Solve 4*k + 0*u + 6 = -3*u, 2*k = r*u - n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13016931 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -348*h + 641. Determine p(-3).\nAnswer: 1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 29025 = 5*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 - 2*y + 1. Let v be f(1). Which is the nearest to -1? (a) v (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 309 = 269. Let s = -1.5 - -2. Sort s, -2, y in increasing order.\nAnswer: y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:22 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 128*h**2 - 3320*h - 201. Give c(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/48 and -5\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 - 15 = -3*v, 3*v - 25 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/19, 3\/7, -20386.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + -3.93. Let x = r - -4. Let l = 0.1 - x. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 998595.7 micrograms in nanograms?\nAnswer: 998595700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 11332 - 34756. Let o = -3841 + w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-6))\/((-2)\/(-3)). Let u be (5 + 21\/(-6))*-18. Is (-63)\/u*(-66)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8504.\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1 + ((-651)\/49 - -17).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 42282*o**2 + 1603467*o - 15222648.\nAnswer: 3*(o - 14056)*(o - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 + s**4\/2 - 4*s**3\/3 - 7*s**2\/2 - s. Suppose 2*b = -5*b - 49. Let y be f(b). Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-63))\/((-2976)\/1116))\/((-4)\/8).\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2827504 is divided by 353426.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 + 965*y + 3780 = 0. What is y?\nAnswer: -189, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 4:03 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-110)*5\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7020725 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17169.92 millennia in years?\nAnswer: 17169920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30238.91 to the nearest 100.\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:31 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p. Suppose 2*g - 72 = -24. Suppose 5*t - 4*z = g, -5*t = 2*z - 8 - 10. Let d(k) = 7*k**2 - t*k**2 + 0*k**2. What is d(f(v))?\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose -v = 5*x + 25, -4*x + 12 = -n*x. Let q = v - -72. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71\/14 + 649\/70. What is the common denominator of -149\/18 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus -7920689446?\nAnswer: 7920689425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -3. Let m = -0.3 - h. Let p = -2758 + 2756. Which is the third smallest value? (a) p (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11599 and 125587344?\nAnswer: 879111408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let x(u) = -u**2 - 14*u - 46. Let l be x(-7). Suppose 4*t = l*p + 1, 4*t - 3*p - p = 0. What is the closest to f in t, -4, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -413 - -20312?\nAnswer: 14344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 18 (c) 0 (d) -1690\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/z*z**1*((z**1\/z)\/z)**(4\/9)*(z\/(z**(-1\/2)\/z))\/(z*z\/(z\/(z\/((z\/(z\/z**4))\/z*z)))*z)*(z*z*z*z*z\/(z*z\/((z\/z**1)\/z)))**(-4\/3) assuming z is positive.\nAnswer: z**(-101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -8, -5*y + 200 = -4*v + 17. What is the remainder when y is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxyxzyyzxzzzyyzysyz. What is prob of picking 1 s, 1 y, 1 x, and 1 z?\nAnswer: 49\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2287506 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250.21 times 466?\nAnswer: 582597.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-161))\/((-186)\/12 - -15)*1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 334 + 83 = 9 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 439 + 371 = 0. Suppose 0 = -3*j - 9, 5*n + 6*j = j + m. Solve 0 = a - 3*b - 6, -4*a + 0 + n = 3*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/38)\/(549183\/(-3477) + 153)\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 50, 42, 38?\n\"Answer: 2*y**2 - 18*y + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 256117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 3*y - 1. Let a(k) = -k. Let m(t) = -2*a(t) - 2*v(t). Let p = -6 - -8. Let l(s) = 13*s**2 - 13*s + 7. What is p*l(g) - 7*m(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 22*t**2 - 9*t + 288. List the prime factors of k(11).\nAnswer: 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 23015*z**3 + 8654*z**3 + 11971*z**3 + z - 1637*z**3. Let g be u(1). Let s be g\/10 - 12\/30. Round s to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51454490 is divided by 17151488.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 10*c - 5. Let t be n(10). Let x be 6*(200\/6)\/t. What is the units digit of 24\/x + 53\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8415 - 15*o**2 + 5*o**2 + 8*o**2 + 4*o**2 - 8415.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -223\/7. Put w, 4, -1\/3 in ascending order.\nAnswer: -1\/3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027058*-22.\nAnswer: 0.595276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 686375 and 350?\nAnswer: 9609250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13734 + 2*l**5 - 13734 - 947*l**3 + (-l**5 - 2*l**3 + 2*l**3)*(0 + 5 - 4) + l**5 + 2 - 2.\nAnswer: 2*l**5 - 947*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14788992734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 7*l - 2*l. Let f be (-7)\/2*(1 + (-7 - l)). Calculate the remainder when (f - 0)*(-6 - -5) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1 (c) 16 (d) -1\/2 (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/7 - (33 + 87)\/(-30))\/(1\/(-7))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 108*l**3 + 808*l**2 + 2304*l + 2176.\nAnswer: 4*(l + 2)*(l + 4)**2*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3972 and 18644\/5900*-10*2\/(-16)?\nAnswer: 19860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*q - 44 - 41, 3*u = 2*q + 239. Suppose u = 4*r - 147. What is the remainder when r is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10482 and 2728.\nAnswer: 28594896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 125*q**2 - 1563*q + 3933. Determine a(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 - -228. Let c(k) = 11*k**3 - 10*k**3 + 4*k**2 - 5*k**f - 4*k + 3 - 3*k**2. Give c(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3 + 2471*g**2 + 254204*g - 42436.\nAnswer: (g + 206)**2*(6*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 402220442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 219.63.\nAnswer: 658.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7393 (base 16) to base 14.\nAnswer: aad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -6\/16735 (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 10:07 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*u - 122 = 5, -w - u + 24 = 0. Suppose -w + 9 = -4*s. Let f = s - 5. Sort 3, -2, f.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-27))**(2\/27) assuming k is positive.\nAnswer: k**(-50\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - z + 2. Let i(f) = -211*f**2 - 3*f + 6. Give 2*b(j) - i(j).\nAnswer: 215*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623 = -21*a + 14*a. What is the remainder when a is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 4*s + 5. Let o be h(-4). Let f = 7 + -2. Let w be f - (-3 - -2)*0. What is the greatest common divisor of w and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -110 + 110 + q. Let u(j) = -9*j + 299 - 299 + 2*j. What is h(u(s))?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 12 = 8*s. Let v(y) be the first derivative of 3*y**2\/2 - 6*y + 85. Calculate v(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmhh when four letters picked without replacement from mmcmmhhhchmhmhh.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 40, 65, 92, 121, 152?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m. Suppose -19*z + 14*z = 0. Let o(x) = x + z - 1 - 2 + 4. Let u(c) = -c + 23. Let v(q) = -2*o(q) - u(q). Give v(s(j)).\nAnswer: -2*j - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwnmzwj. Give prob of sequence wwj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 17*k**2 - 7*k + 8. Let a be c(-9). Let x be (3355\/a)\/((-1)\/6). Find the common denominator of 4\/14 + x\/1309 and 43\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/14)\/(2695\/(-3465))\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -146.62434+-8.606398\nAnswer: -155.230738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(-30)*(y*y**(-1))**2)**(-3\/20) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019172577 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1 + 37 - 5*l + 2*l**2 - 2*l. Suppose 116*x - 330 = 830. What are the prime factors of o(x)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(1\/3)\/r*r*r)\/r)\/r)**(-12\/13)*r*r\/(r\/r**(-1\/4))*r**(-2\/11))\/((((r**(-3)\/r)\/r*r)\/r**(1\/6))\/(r**(-1)\/r**1)) assuming r is positive.\nAnswer: r**(5749\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.20194 times 4?\nAnswer: 2392.80776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 3 (c) -4 (d) -1.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693993 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/18)\/((-20)\/2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3993)*2 - (sqrt(33) - (sqrt(33) + -5*sqrt(66)\/sqrt(2))))*5)\/(4*6*(sqrt(11) + -2*(sqrt(22)\/sqrt(2) + sqrt(11)) - sqrt(11))))**2.\nAnswer: 7225\/3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 30*s = 22*s - 4208555. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 139*v + 9821. List the prime factors of o(0).\nAnswer: 7, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325 + 2?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/30*(2584\/266)\/(-17)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)*1*0. Let i(o) = o + 6. What is i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.08, 63\/53, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1291.9705 + -1292. What is v rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2975 + 1001 = -211*u - 244 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-7) - 42\/98\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (85 - 87) + (-5 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 838862.1*11\nAnswer: 9227483.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*(243\/(-270))\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 3*v + 75 + 49.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23047 + -23030. Let a(m) = 4*m**2 - 7*m - 1. Suppose u + 9 = 3. Let f(l) = 11*l**2 - 20*l - 3. Give p*a(b) + u*f(b).\nAnswer: 2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -26 (c) 4\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 4. Let c(v) = v + 7. Let l be c(-4). Let m be k(l). Find the second derivative of q**5 + 0*q**m + 0*q**4 + 2*q - 6*q wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 37*z - 7. Let d(o) = 74*o - 11. Give 4*d(g) - 7*j(g).\nAnswer: 37*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1065007.\nAnswer: 19, 56053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021926 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 + 4*s**2 + 3*s - 2. Let u be w(4). Let h = 463 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 - -8)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 133 = 5*m, 181*i - 33*m - 15897 = -35*m - 3406 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18146912 and -65\/13610184.\nAnswer: 54440736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(-88) - (-3177)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1792 - 327*t + 1812 + 320*t.\nAnswer: -7*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w + 7. What is m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -7.7. Suppose -194*k = -192*k - 4. Which is the closest to -2? (a) -2 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*h, 5 + 13 = -5*s + 3*h. Which is the third smallest value? (a) 3\/7 (b) s (c) -2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -653.6017 from 0.1.\nAnswer: 653.7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 2. Suppose -n*j - 3*k - 8 = -j, -j - 4*k - 15 = 0. Let a(p) = -8*p**3 + 1. Determine a(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:38 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/20)\/(18 - 1560\/75) - 31\/154.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106726\/7 at most as big as 15246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*p + 62*p - 208*p - 96*p.\nAnswer: -432*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 4*a. Suppose -a = 2*f, 3*t - 4*f + 0*f - 18 = 0. Solve t*y + y = 3*k - 18, -2*y = 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -16, -22, -30, -40, -52, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55\/(-77)*-7 + -3. Let p = 79 + -75. Solve r*h - 3*a + 21 = 0, -p*a + 8 = -12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 30044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 14.2.\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -2*h**3\/45 + h**2\/15 + 8*h\/3 + 75. What is t in d(t) = 0?\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*1\/(11\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5\/5 + 27288*i**4 + 1572522036*i**3\/5 + 480412222998*i**2\/5 - 1572522039*i\/5 - 480412359438\/5 = 0. What is i?\nAnswer: -22583, -314, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*b**3 - 1 + 362*b**3 - 2.\nAnswer: -33*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347834868 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*r - 10473 = 15709, 5*q = -r + 32732. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 - -122040511?\nAnswer: 122040341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29c7e3 (base 15) in base 14?\nAnswer: -3a6d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 + -4. Let s = 649 - 649.5. Put 5, -0.8, s, v in descending order.\nAnswer: 5, v, s, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let j(r) = -7*r + 17. Let y(m) = 3*m - 8. Let i(d) = 6*j(d) + 13*y(d). What is i(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067701183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 3. Let u be 2\/5 - (-106)\/b. Suppose 4*m = -3*x + 49, 2*m - 21 = -2*x + u. Solve 7*z - 4*z = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/v**(-2\/3))\/(v*v*(v\/(v\/(v\/(v\/(v\/v**4)*v))))\/v))**(3\/19)*(v*v*v*(v*v**(1\/3))\/v*v*v*v\/(v**5*v)*v)\/(v\/(v**0*v))**(-29) assuming v is positive.\nAnswer: v**(136\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124405447.447 + 8.5.\nAnswer: -124405438.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + 48 + -53.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1065 - -5572. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*2)\/(sqrt(18)\/sqrt(2)*4) + -1)**2.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 7, 16, 27, 40, 55?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.1, 0.5, -1\/8, -0.46, 7, -35?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 5*x**4 - x**4 - 3*x**2 + 3*x**2 - x**4 + (-x**3 - 4*x**3 + 3*x**3)*(2*x - 3*x + 3*x) + (-10*x**3 - 27*x**2 + 27*x**2)*(-10*x + 9 - 9).\nAnswer: 97*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 7*h**2 - 25*h - 70. Let l be v(4). Suppose 2*t - 95 = n, -2*t + 6*t - n = 187. Let 5*f**2 + 39*f + 10 + t*f - l*f = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 132\/21. Let q(y) = 9*y + 8. Let w(t) = -t - 1. Let a(v) = q(v) + 5*w(v). Let o(s) = -3*s - 4. Let b(c) = -4*a(c) - 5*o(c). What is b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 3}. Give prob of sequence xx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(72)*-1 + 1)*6*4)**2.\nAnswer: 13824*sqrt(2) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263279924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19356976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3. Let i be b(1). Let f be 1\/(-2 + -4)*-8. Let a = 8 + -5. What is the third biggest value in i, a, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1415 - -51403222?\nAnswer: 51401403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2929*v - 36 = -5*q - 2928*v, 48*v = 192 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8846, -8818, -8860, -9008, -9298, -9766, -10448?\nAnswer: -11380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1228888, -2457798, -3686708, -4915618, -6144528?\nAnswer: -7373438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120.17 - 116.17. What is the fifth biggest value in t, -1\/2, 45, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -25 - -8) + 7 + -16 + 0 + 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.7, -1\/5, 2\/11, -2\/19?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 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: Put -4, 3, -2226419 in increasing order.\nAnswer: -2226419, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y - 2. Let x(q) = 55*q**2 + 5*q + 11. Let m(c) = 16*c**2 + 2*c + 3. Let a(d) = -11*m(d) + 3*x(d). Calculate a(p(g)).\nAnswer: -1100*g**2 - 370*g - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 176, 635, 1390, 2441, 3788, 5431, 7370?\n\"Answer: 148*v**2 + 15*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39*c - 1396. Give p(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 30.7, -6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b (base 12) in base 9?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 6*a + 7. Is d(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16*1)\/((-3)\/(-6)). Suppose 4*p - 8 = 5*p. Let c be ((-72)\/v)\/((-1)\/p). What is the highest common divisor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*4*(sqrt(300) + 1) + -3*sqrt(300) + sqrt(300) + 1 + (sqrt(300) - (-2*sqrt(300) + 4)))**2.\nAnswer: 4420*sqrt(3) + 86869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fms. Give prob of picking 1 s and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 45. Let q(c) = 1648887*c. Give p(q(f)).\nAnswer: -1648887*f + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:08 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1686471 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -15*u - 18. Let f(z) = -1. Let n(v) = -18*f(v) + i(v). Let s(x) = -1613*x**2 + 807*x**2 + 805*x**2. What is n(s(j))?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irbr when four letters picked without replacement from {b: 10, r: 2, i: 2}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 2*l**2 + 3*l**2 + (3 + 0 - 1)*(-4 - 3*l**2 + 4) + 0*l**2 - l**2 + 0*l**2.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2249.9 - 5664.1. What is p rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbmqcexec. What is prob of sequence eqb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6329700 divided by -26?\nAnswer: -243450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2082 - -2082.2. What is the closest to 36 in h, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 143. Let l be f(49). Let h = l - 164. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -332.549 - -1.4?\nAnswer: -331.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 15 = -z. What is the units digit of ((-24)\/z)\/((-6)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 2*c + 8, -3*v + 5*c - 146922375 + 146922392 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1587*((-7)\/3 + 2). Suppose 8*y - 692 = 3*y - 4*x, -o = -4*y + 5*x. Calculate the highest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 12*f - 39 = 5. Solve -f = -18*c - 76 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-40) - 28\/96.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.3, -9\/7, 0.4, -4, 213\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609032 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: Sort -1.215, 5, -21.446, 0.4, -2 in ascending order.\nAnswer: -21.446, -2, -1.215, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -10.1. Let u = 3.5 + -3. Let f = i + u. What is the second biggest value in -5, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**(-21)\/(y\/(y*(y**(-3)*y)\/y*y*y)*y)**(-40) assuming y is positive.\nAnswer: y**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 7) to base 2.\nAnswer: -11010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 79. Let s be ((-18)\/(-33))\/p*1. Factor -s*m**2 + 2\/11 + 2\/11*m - 2\/11*m**3.\nAnswer: -2*(m - 1)*(m + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -68?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**4\/18 - 10*g**3\/9 + 3*g**2 - 94*g + 2. Let c(a) be the first derivative of o(a). Factor c(r).\nAnswer: 2*(r - 9)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 60. Let x(i) = 4*i + 63. What is 6*b(j) + 4*x(j)?\nAnswer: -2*j - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from tctccctccctccucctt.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let w(g) = -10*g + 11. Let j be w(-11). Suppose 13*r - j = 2*r. Let k(z) = 11*z**2 - 46*z**2 + r*z**2 + 12*z**2. Determine k(n(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9)**(-26\/5))**(-12\/19) assuming t is positive.\nAnswer: t**(2808\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 10:58 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 14*i + 103. Let g(x) = -3*x**2 - x + 11. What is 8*g(s) - w(s)?\nAnswer: -23*s**2 + 6*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46958235.\nAnswer: 3, 5, 3130549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3148816361 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390.18 days in seconds?\nAnswer: 465711552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-9) + -1*(-740)\/18 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/14 + ((-134)\/(-14) - (-420)\/(-42))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 150, -1, -2, 7 in descending order.\nAnswer: 150, 7, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18 + 5 - (0 - -4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 118444 and 65.8?\nAnswer: 118378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1008)*2)**2 + (-6*sqrt(847))**2)*-3.\nAnswer: -207144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*n - 3*n + 6*n)*(-8 - 4*n + 8) - 2*n**2 - 4*n**2 + 5*n**2)*(n + 2 - 2) as v*n**3 + b*n + t*n**2 + h and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*r - 64. Let k = 14 - r. Let q be 2*4\/k*-1. Let u(x) = x**3 + 5*x**2 + 5*x + 2. Calculate u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2732538837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4068.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 232?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -8*s + 6809. Let z = -352 + s. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 + -101223223?\nAnswer: -101230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m = 1913*m - 62651 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 430?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.857 - 0.143. Let j = -33973 - -33972.9. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyu when three letters picked without replacement from {o: 2, y: 4, u: 4, x: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, -1105262, 2 in increasing order.\nAnswer: -1105262, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.12 (b) 0.3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 42. Suppose 37*v - i*v = 20. Let k = 7 + v. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-35)\/(-11) - (-93)\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 8*t**3 - 4*t + 5. Let a be z(2). Let y be a*5 - (19 - 18). Suppose -3*b - 4*k = b - 384, -y = -3*b + k. Is 43 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 + 67425*d**4 + 4548422331*d**3\/2 + 77253545117*d**2 + 279452132256*d + 204472730880 = 0. Calculate d.\nAnswer: -67408, -30, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Let c(m) = 1347*m**2 - 17412*m. Calculate c(j(o)).\nAnswer: 5388*o**2 + 34824*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 1203 + 1107. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:09 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.5, -0.01, -1\/7, 73?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5341 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42033953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187992239 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**(-6)*u*u)\/u*u*u**(-2\/7)*u**(4\/3)*u**(-2\/17) assuming u is positive.\nAnswer: u**(-739\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l**2 + 2576*l**3 + 16*l**2 - 1283*l**3 - 1292*l**3. Calculate z(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 8 = 4*h, 5*h = 562*w - 567*w - 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*r, -c + 12*r = 17*r + 17 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54a (base 11) in base 9?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 = -3. Suppose 2*r - g*r = -26. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 2069108*k**3 - 356770774752*k**2 + 20506470556710656*k - 102523433772820480.\nAnswer: -4*(k - 172424)**3*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597266?\nAnswer: 2, 523, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*k - 13. Let g be (-2 - -2)\/k - -265. Suppose 3*j - 426 = -5*t + 25, -j = -3*t + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 310 and -4848 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-30)\/12)\/(2\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -15*n**3 + 1338*n**2 + 14*n + 7. Let t(i) = 2*i**3 - 2*i**2 - 2*i - 1. Give -7*t(b) - y(b).\nAnswer: b**3 - 1324*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s - 6. Let j be g(-4). Let d = j - -8. Find the first derivative of -2*k**3 + 3 + 0*k**3 - d wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 92.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670753075?\nAnswer: 5, 26830123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j. Let b(f) = -2*f - 8*f**2 + 7*f**2 - 5*f + 2*f + 3. Let t be b(-4). Let k(a) = -5 + t*a + 5. Determine z(k(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174604438?\nAnswer: 2, 87302219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*f**4*q**2 + f**3*q**2 + f**2*q + 427*f*q**2 wrt f.\nAnswer: 10608*f*q**2 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294)\/49 + (11 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85173 is divided by 85142.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 498, 5, 2\/5, 0.1 in descending order.\nAnswer: 498, 5, 4, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -17 + 1. Suppose 5 = l*r - 35. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78151876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3530 and -0.69.\nAnswer: -3530.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(243)*4 + 1)**2 - (1 + (1 + sqrt(1728))**2))*-1.\nAnswer: -2159 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4015, -4153, -4487, -5017, -5743?\n\"Answer: -98*u**2 + 156*u - 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 153*r + 986. Calculate p(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 43*f = -23*f + 1539. Solve 0 = 13*v + 58 - f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4125065712?\nAnswer: 2, 3, 59, 107, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11072*r - 76805 - 554299 = 0 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1797113365 - -1797113366.502999383. Let v = h + -1.503. Round v to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -41.\nAnswer: -73\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257 (base 8) to base 7.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjfjfj. Give prob of picking 1 f and 1 j.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 725*l**3 - 2278.\nAnswer: 2175*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 164. Let w(i) = 2*i**2. Calculate o(w(t)).\nAnswer: 2*t**2 + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suurrkgrgrguukc. What is prob of sequence urgr?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5626001 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -11*t**2 - 2*t - 4. Let w(s) = s**3 - 3*s**2 - 32*s + 26. Let r be w(7). Give p(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1664*o**3 + 152 + 1664*o**3 + 5*o + 4*o + 141*o**4. Let s(m) = 35*m**4 + 2*m + 38. Let y(g) = 2*k(g) - 9*s(g). Differentiate y(c) with respect to c.\nAnswer: -132*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.58618 from 0.01.\nAnswer: 0.59618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -128.41. Let y = 1524 + -1524.29. Let i = y - z. What is the smallest value in i, -0.3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -48\/2587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v*v\/v**2))*((v*v\/(v\/(v*v*v**(-5)))*v)\/v)\/v assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1726, 3, -4 in descending order.\nAnswer: 1726, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 4*d - g - 9979, d - 2476 = 5*g. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4*20\/(-450)*9\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. What is the first derivative of 1 + c + 3*o**4 - 7 wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -195, 375 in increasing order.\nAnswer: -195, 0, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-76)\/(-20) - 1\/(-5). Let c be (-2)\/k + (-1118)\/(-4). Is 31 a factor of 2\/(-3)*c\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*r + 576. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9 - (15 + -16)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 1:45 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -139*o**2 - 4*o - 4. What is n(-2)?\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**3 + 18*w**2 + 9*w - 6. Let t(s) = 11*s**3 + 8*s**2 + 4*s - 2. Give 4*c(u) - 9*t(u).\nAnswer: -15*u**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15821634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -8*g + 22*g + n, -3*n = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*z - 76*z. Solve o = j, -4*o + 0*o - j - 15 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15768220 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 0*t + 4*t)*((t + t + 0*t)*(0 + 0 + 2*t) + t**2 + 5*t**2 - 3*t**2).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1070726 (base 8) to base 15\nAnswer: 5b491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361285774.\nAnswer: 2, 181, 998027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 5)*(3*b + 3*b - 1 - 4*b)*(3*b - 3*b + 2*b**2)*(1 - b - 1).\nAnswer: -36*b**4 + 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3223*b + 75230 + 89380 = -5052*b for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 261.\nAnswer: 52\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 2*o + 0*o)*(-1 + 3 - 3) + (3*o + o - 2*o)*(-3 - 4 - 1) to l*o + p and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.1108. What is n rounded to 3 decimal places?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 25*x**4 - 3*x + 6 - 73*x**3 + 74*x**3 - 2*x**2 as f + n*x**3 + s*x**2 + u*x + m*x**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -557716 (base 9) to base 4.\nAnswer: -1101132213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/120)\/((-1)\/((-50)\/12))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*m**2 - 85*m**2 - 37*m**2)*(19 - m + 4*m - 13).\nAnswer: -483*m**3 - 966*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207162*c + 206903*c = -6993 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7*y + 4 = 0, 0 = d + 3*y + 20. Let o be d\/46 - 3\/(-2). Sort 2, -4, o, -3 in descending order.\nAnswer: 2, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1970 * -693\nAnswer: -1365210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*x**2 + 74 + 54 - 76*x**2 - x - 3*x + 7*x wrt x.\nAnswer: -312*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.232*-10\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, t: 2, r: 1, f: 3}. Give prob of sequence ft.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1343192.4 months to decades.\nAnswer: 11193.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/216 and 61589\/4752 + -13 - 3\/18.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-4)\/(-3)*3981\/(-968710))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 1839.\nAnswer: -44136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8*a**2 + a**3 + a**3 + 4*a = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/9, -10, -0.1, -24\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 264677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*t - 37*t - 32*t)*(0*t + 2*t + 0*t) + 0*t + 3*t**2 + 0*t in the form u + x*t**2 + m*t and give x.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 88 = -3*k. Round k to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*u + 651, v + 2*v + 5*u = 383. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2\/5 + 27*s\/5 + 42\/5 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d + 8. What is the units digit of h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*z - 11. Suppose c = -l - 3, 0*c = -l + z*c - 7. Let g be (-57)\/(-21) - l\/14. Solve f + 4*i - 8 = -f, g*f - i = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 347 + -582. Let u = 134 + v. Let h = 100.9999889 + u. What is h rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 + -152.5. Which is the smallest value? (a) 9 (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2. Let j(b) = 5*b**2 - 13*b**2 - 4 - 4*b + 9*b**2. Let u(i) = 5*i + 5. Let n(z) = -5*j(z) - 4*u(z). Give r(n(p)).\nAnswer: 175*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2126298*g**4 + 388*g**2 - 21*g - 10 wrt g?\nAnswer: -51031152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 251 = -5*u - 3*q, 0 = 3*u - 4*q - 169. What is the remainder when 203 is divided by u?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2. Let n be t(-1). Let p = 0.00578 + -4.00578. Which is the smallest value? (a) 2\/3 (b) -3 (c) n (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509009013?\nAnswer: 3, 47, 1203331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 11 + 5 + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = c - 18, 3*c = 9 - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(42*(-4)\/16).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -22960 in descending order.\nAnswer: -2, -3, -22960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 308095264 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.491 + 27.791. Let w = m - 22.3. Which is the closest to 1? (a) -1\/9 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -1. Let a = 34 - 3.6. Let p = -31 + a. What is the third biggest value in -0.1, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 9) + (1 - -4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540864381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 23001?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4132 divide 138207136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81917949*t**2 + 2*t + 15831164 wrt t.\nAnswer: 163835898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3 + 20*n**2 - 6*n - 11. Let f(s) = 11*s**3 - 21*s**2 + 7*s + 10. Let v(t) = 5*f(t) + 6*w(t). What is v(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 5:29 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 935.\nAnswer: 12155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 537*a**2 - 8*a + 45. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 10 - 1 = -5*a, -4*a + 42 = 5*q. Let r(h) = 5*h**3 + h - 12. Let v(g) = -9*g**3 - g**2 - 2*g + 23. Let b(d) = -11*r(d) - 6*v(d). Give b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5436.07639 to the nearest 100.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34014?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7*l - 2*l + 405 = 0, 3 = l. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 24 = 5*h. Suppose 27 = h*i - 2*v - 131, 5*i + 3*v = 427. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 5\/(-13)*(-275)\/35. Let w = x - -192\/455. Do w and 2\/5 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*t. Let d(b) = 4*b + 3 - 3 - t*b. Let y(l) = -6*l. Give y(d(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + -0.07. Let v = 0.2 + -2.2. Let u = v - -2.5. Put d, 4, u in descending order.\nAnswer: 4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-318)\/39 + 6 + 1*2. Which is the second smallest value? (a) 0.2 (b) -0.2 (c) -0.7 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2276*y**2 + 24*y + 6053. Let h(v) = -v**2 + 4*v + 3. Let b(t) = 6*h(t) - k(t). Differentiate b(i) with respect to i.\nAnswer: 4540*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114885 divided by 851?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**2 - 6*x - 6. Let h(r) = -4*r**2 - 3*r - 3. Let y(n) = -4*n**2 - 2*n - 2. Let p = -2 - 0. Let f(k) = p*y(k) + 3*h(k). Give 5*c(i) - 6*f(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 33*p**2 + 3*p**2 + 27*p**2. Let l(k) = -2*k**2. What is l(m(x))?\nAnswer: -7938*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12822757?\nAnswer: 37, 346561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -14702.5 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/9)\/(u*u**(-7)))\/(u**0)**(-34))**50 assuming u is positive.\nAnswer: u**(2500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 2. Let q(s) be the second derivative of 0 + 3\/2*s**2 + 9*s - 2\/3*s**3. What is q(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113\/14 + 45\/7. Calculate the common denominator of -41\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365659 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 406, 614, 822, 1030, 1238?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 1419457?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -4062009\nAnswer: -40\/4062009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 10 = -11*n - 2*y, 5*n - 6 = 2*y. Suppose 6 = 3*b - 4*k - 8, -12 = -3*b + 3*k. Suppose 5*l = -0*f - f + 73, -n*f = b*l - 26. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, n: 2, j: 1}. What is prob of sequence nffn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 120480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6318694, 6318692, 6318690?\nAnswer: 6318688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25829 - 190*c - 6*c**2 - 25819 + 190*c.\nAnswer: -6*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -282 in decreasing order.\nAnswer: 4, 0, -5, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5344382?\nAnswer: 2, 383, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/19*(-108)\/(-378)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 24 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {x: 3, u: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 7. Let d be v(-6). Let k = 1 - -1.5. Let x = k - 6.5. Which is the third biggest value? (a) d (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 - 153. Let l(b) = 1237*b. What is l(g(y))?\nAnswer: 3711*y**2 - 189261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 4, m: 7, r: 2, s: 2}. Give prob of sequence pm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*a**2 + 4*a**3 - 3*a - 68*a**2 in the form h*a**2 + j*a**3 + q + r*a and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (0 + (sqrt(637) - (sqrt(637) + 1)*-1 - sqrt(637)) - (sqrt(637)*2 - sqrt(637))*1*6)**2)*-5.\nAnswer: -79645 + 350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, 282, -30, 0.3, -1\/3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j - 2. Let t be l(3). Suppose t = 5*i, 3*f - 3*i + 3 = -f. Suppose f*y = -2*y + 100. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000157661 rounded to 7 dps?\nAnswer: -0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 16373952076857?\nAnswer: 16373952076853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 196291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 42.5. Let k = y + -26. Let z = -4.5 + 5. What is the nearest to 2\/3 in -2, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-5) + -1 - -22. Let j = -17 + a. Suppose 0 = -0*i + 2*i + 4*v + 2, 0 = 3*i + 5*v + j. What is the remainder when 6 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 5696*d**3 + 22720*d**2.\nAnswer: 4*d**2*(d + 4)*(d + 1420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 225, -48633.\nAnswer: -48633, -17, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1796 = -5*v - 1813, 3*z + v + 13 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404475724.\nAnswer: 2, 351118931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 2*t + 0*t)*(-4 + 2 + 7)*(0 - 6 + 1) + 160 - 2*t + t - 117 in the form f*t + i and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 123, 205, 243?\n\"Answer: -22*g**2 + 192*g - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -6*r. Let z(v) = 12*v + 1. Let p(o) = -5*y(o) - 3*z(o). Let x be p(-3). What is the units digit of 355\/x - 2\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1944) + sqrt(1944)*1)\/(sqrt(240)\/sqrt(5)))\/(-6*-5*sqrt(9)*-6*4))**2.\nAnswer: 1\/28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 9) + 20 - (-2706)\/(-154)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -345, -1367, -3087, -5499, -8597?\n\"Answer: m**3 - 355*m**2 + 36*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101733269 a multiple of 10433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1679 + 1680. Solve -13 + i = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-2))\/((-2)\/2). Let z be (-33)\/(-12) + 1\/l. Suppose 2*b - 1 = z*t, -b + 3*b + 5*t = 9. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12*b + 39*b = -29*b - 22*b + 54, -y + 4 = -2*b for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*p - 14*p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 2921 + 292. Let a = k + -335. What is the smallest common multiple of a and 116?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*i + i - 10, -2*i = -2*x + 12. Let s be 508 + 16 - ((-1 - 3) + x). Suppose s = 8*r - 1594. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*s**2 + 32*s**2 - 19*s - 12*s**2 + (-6*s**2 - 4*s**2 + 3*s**2)*(3 - 5 + 1) + s**2 - s + s.\nAnswer: 10*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 4. Let n(u) = 3*u - 6. Determine n(d(j)).\nAnswer: -9*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64, 426, 1400, 3292, 6408, 11054, 17536, 26160?\n\"Answer: 51*d**3 + 5*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4 + 3*z**2 - 4 - 4*z**2. Let y(j) = -8*j**2. Let r(p) = p**2 + 3*p - 3. Let i be r(-4). Calculate i*y(k) - 5*u(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + q = 101, -128*f + 102*f + 847 = 3*q for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 2}. Give prob of sequence kk.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 48 - 66. Let s = k + 543. List the prime factors of s.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/19 + 8020*k**3\/19 - 7668008*k**2\/19 - 752317200*k\/19 - 4236120000\/19 = 0.\nAnswer: -84, -6, 2050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwlzzwzwwzwzwwvlwwz. Give prob of sequence wl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -172*o**3 - o**2 - 70. Let h(s) = 171*s**3 + s**2 + 62. Let c(d) = -2*f(d) - 3*h(d). What is the third derivative of c(p) wrt p?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/3 - 31*n\/3 + 184\/3 = 0.\nAnswer: 8, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2677*f - 8007*f + 2652*f - 683*f**2 + 2678*f.\nAnswer: -683*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*p = -21, -4*g = p + 21 - 44. Let j(w) = 2*w**2 + 3*w - 3. Let z(u) = -u**2 - u + 2. Calculate g*z(m) + 3*j(m).\nAnswer: m**2 + 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 585 - 645 = 0. Is 13 a factor of (-6)\/2*(-2)\/c*-230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:31 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12485781 and 1546237?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51131 + -169?\nAnswer: 50a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - 2. Let g be u(1). Differentiate -j**2 + 4*j**g - 1 + j**2 + 4 with respect to j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0942, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 957242714 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:10 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-333*m**2 - 2 + 1 + 336*m**2).\nAnswer: -6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3956 (b) -2 (c) 0.5 (d) -2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 43*y**2 - 9*y - 58. Let z be u(-7). Suppose -108*a + 104*a = -z. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3540790 is divided by 7582?\nAnswer: 7578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107010, 428057, 963134, 1712241, 2675378?\n\"Answer: 107015*t**2 + 2*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 34*u**2 - 72*u - 11. Is t(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, h: 1, a: 4, k: 2, u: 2}. What is prob of sequence zu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23531 or -20471?\nAnswer: -20471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3084 + -30787\/10. Find the common denominator of -97\/16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 145, 260, 437, 694?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38644533 rounded to 4 dps?\nAnswer: -1.3864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/4 + 3*z**5\/5 - 3*z**4\/8 - 4. Factor a(f).\nAnswer: -3*f**3*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 47*x**2 - 2*x + 89. Let o be k(47). Sort o, -27, -4 in decreasing order.\nAnswer: -4, o, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/35 - 1\/5. Let n = -503.4 + -21.6. Let t = n - -523. Put -0.3, t, -0.1, w in decreasing order.\nAnswer: -0.1, w, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18154 - -3?\nAnswer: -18151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1792, 2\/11, -0.2, 0 in increasing order.\nAnswer: -1792, -0.2, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 300\/(-78) + 6\/(-39). Let a(i) = -i - 4. Suppose r - 39 = -40. Let h be a(r). Put h, 4, v in decreasing order.\nAnswer: 4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-7 + -3 + 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + q + 5 = 0, 15*w = 11*w + 3*q - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -0. Solve -r*z + 5*z - 2 = 5*a, -5*z = -a - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m. Let q(p) be the first derivative of -58 - 18*p**2 + 4*p**2 - 16*p + 15*p**2. Give z(q(t)).\nAnswer: 10*t - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -55, -268, -641, -1174?\n\"Answer: -80*d**2 + 27*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.104 and -2908.\nAnswer: -2909.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*h**4 + 107*c*h**3 - 470*c*h - 5592*c - 4 wrt h?\nAnswer: -4*c*h**3 + 321*c*h**2 - 470*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -192, -465, -998, -1923, -3372, -5477, -8370?\n\"Answer: -22*o**3 + 2*o**2 - 125*o - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 12:45 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 229642319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.4891283 rounded to 3 decimal places?\nAnswer: -53.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u*u**(2\/41))*u)\/u*u\/(((u**(-4\/7)*u*u)\/u)\/u)*u*u**10*u*u**(-1\/13))**(1\/50) assuming u is positive.\nAnswer: u**(28814\/93275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44470621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjpplppplpplrpljrll. What is prob of picking 2 l?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (4 - 1)) + (-17 - (16 - 30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**5 - 5*k**5 + 0*k**5 + (k**3 - k**3 + 2*k**3)*(6*k - 4*k**2 - 6*k))*(96 - 1049 - 97 - 982).\nAnswer: 22352*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144.07 - 145. Let z = 0.06 - x. What is z rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*w + 495 = -136 - 1331 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s - 0*s. What is the tens digit of ((-3)\/6 - s)*(-328)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 59*v + 30. Let z be l(-29). Let a = 7 + -12. List the prime factors of (0 - a)*z\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 561*d + 538*d - 117*d + 11784 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5086714027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12204.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17182 + 9569. Let u = j + 114142\/15. Calculate the common denominator of 28\/84*17\/(-3) and u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -17 - (6 - (-4 - -15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*10\/20)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282639 and 589659.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - x - 12 = 0, 14 = h - 2*x - 1. Let a = -5 + h. Suppose 0 = a*d, 71 = 3*q - 4*d + 5. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3386894*c*x**3 + 3*c*x**2 + 171*c*x - c + 43935*x wrt x.\nAnswer: -20321364*c*x + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-12)\/(-2) - (-441)\/(-63)). Suppose 0 = -2*m + 2*a + 2, 13 = -5*a - 2. Sort r, 1, -4, m.\nAnswer: -4, m, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 15*n - 27. Let t be m(11). Suppose 76 = -t*l + 21*l. Calculate the greatest common factor of l and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(25\/(-48)))\/((-14082)\/23470).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6407366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:06 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - j**2 - 22. Does 45 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284123 - -190123. What is b rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**5 + s**3 - s**2 - s - 2. Let q(o) = 81*o**5 + 4*o**3 - 4*o**2 - 7*o - 22. Let k(v) = -4*h(v) + q(v). What is the second derivative of k(l) wrt l?\nAnswer: 1700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-45))\/((-2)\/(-35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {k: 13, p: 3, z: 1, o: 2}?\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i**2 - 3*i + 4. Let t be v(-3). Suppose 3*z - 12 = -t*q, -2*q + 4 = -z - 2. Suppose z = -f + 50 + 59. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 46702*y + 93396.\nAnswer: 2*(y + 2)*(y + 23349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 10:47 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5369374, 10738723, 16108072, 21477421, 26846770, 32216119?\nAnswer: 37585468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l**2 + 6*l**2 + 15*l**2 + 2*l**2 as o*l**2 + g + m*l and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.369 + 704150495832.\nAnswer: 704150495832.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*s - 9 + 39 = 0. Sort s, 1, -1, 0, -12.\nAnswer: -12, s, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006562113 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 37 - (14 + -5 - -1)) + 30\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**2. Let r(c) be the third derivative of 6*c**5 - 272*c**2 - 3. Determine d(r(t)).\nAnswer: -648000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00093 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*w - 241 - 88. Solve 0 = 4*c + 8, 4*o + o = 4*c - w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and (9 + 564\/(-60))\/(24\/(-166))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 73 = -3*l. Let j = l - 35. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euahhuhhfhafe. What is prob of picking 2 e and 1 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1145*i**3 - 1241*i**2 + 6. Let k(c) = -2288*c**3 - 2484*c**2 + 15. Let u(p) = -2*k(p) + 5*x(p). Find the third derivative of u(t) wrt t.\nAnswer: -6894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6705809 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/8 - 111451*u\/8 + 6513039\/4 = 0. What is u?\nAnswer: 117, 111334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*b + 8 = 0. Is ((-79)\/2)\/(2\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qrqrqr.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c\/(c*c**31)*c)\/c)*c\/c**16)\/(c*c**10*c)**(13\/3) assuming c is positive.\nAnswer: c**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/204 and 20\/(-30) + 3370\/5100 + 12\/20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(156) - (-2*sqrt(156)*5 + sqrt(156))))\/(sqrt(48)\/(sqrt(4) + 1*sqrt(4)*5)).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 8*u**2 + 12*u + 6. Let p be x(13). Let k(r) = 51*r. Let j be k(-12). Let d = j + p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 1308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r + 5. Let a(s) = -2*s + 1. Let u(c) = -34*a(c) + 6*l(c). Calculate u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from uhgeuuenuhuugh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:49 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2046 and 179490?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134*c**4*j**3 - 57*c + 2*j**3 wrt c.\nAnswer: 1608*c**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-306)\/459).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2258 = -332*q + 8034 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -141, -209, -275?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136933 is divided by 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66730570, -66730574, -66730578, -66730582, -66730586, -66730590?\n\"Answer: -4*z - 66730566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 370 = 20. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q + 9. Let v be z(-2). Let y(c) = -467*c - 2 + 0 + 3 + 99*c. Is y(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -23 - -188 - (-11)\/1 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 > -1093390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -882727*-1014.\nAnswer: 895085178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + (1*sqrt(304))**2)*-3*-3.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5942522 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/25*5*4\/42?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24644707 + 39.48.\nAnswer: -24644667.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*s - 9450 + 4942 = 9432 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-4) + -8)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4b - -157?\nAnswer: ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10.91 * -5.5\nAnswer: -60.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijjojjffoj. What is prob of sequence ffo?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 203 - 7\/(7\/(-5)). Let o be (-49)\/(-14)*(5 + a\/(-42)). What is v in o*v**2 - 1\/6*v - 1\/3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/253 and 15\/2387?\nAnswer: 54901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = f - 3 - 32, 0 = 5*f + 2*g - 40. What is the least common multiple of 2 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 2*t - 2*t)*(32*t**3 - 190*t + 190*t) + t**4 + t**5 - t**4 + (t**2 + t**3 - t**2)*(1 + 4*t**2 - 1) - 7 + 7 + 4*t**5.\nAnswer: -87*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 3, n: 2, i: 1}. Give prob of sequence ncww.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5092 rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23409 = -1591*q + 19662 + 81027 for q.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818182*z + 37 - 166 + 818183*z.\nAnswer: z - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-11)\/22)\/(2\/8). Let z(x) = 17*x + 10*x**f - 17*x - x**2. Let k(i) = 3*i. What is k(z(y))?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/120 - 2*b**3\/3 + 5*b**2. What is the derivative of m(x) wrt x?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 7*s**2 + 6*s + 2*s**3 - s - 9. Let f(v) = -v**3 - 2*v**2 - 3*v + 5. Let x(j) = 5*f(j) + 3*r(j). Determine x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2, 0 = -p - 24*t + 29*t - 123. Let q = 334\/3 - 992\/9. Calculate the common denominator of (p\/1280)\/((-6)\/(-316)) and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.8 - -5. What is the closest to -2\/11 in 2\/3, 0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -1 + 1098 + -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 265?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6799536 and -119\/20530.\nAnswer: 33997680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*g - 31*g = 1453 + 2575. Suppose 3*v = q - 11, -3*v - 5 = -14. Suppose 0*z + q = 4*z. Solve 5*a + 2 = d, -4*a = z*d - 0*a + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 53 = -4*i. List the prime factors of 2\/i + 156\/16.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/75)\/(4\/48)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -0.03, 3\/5, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1253 - (16 + -8)) + 5. Suppose 1090 = 6*y - p. Is y a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/870)\/(5\/25).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 3. Let l = 7 - c. Find the third derivative of n**l - 4*n**2 + n**6 + 3*n**2 wrt n.\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124459921 to the nearest 10000.\nAnswer: 124460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29359283?\nAnswer: 29359283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m**2 - 3*m**2 + 2911825 - 1456422 - 1455403.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 4*z - 11. Let u be k(6). Let s(y) = 3*y**2 - 4*y**2 - 3*y**3 + y**3 + 6*y - 5*y + 14*y**3. Let n be s(u). Solve -7*a + n = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000115813 to six dps.\nAnswer: -0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 3*o**4 - o**4 + (3*o**3 - 3*o**3 + o**3)*(-1 + 1 - o) + o**4 + o**4 + 0*o**4 + (656*o + 29622 - 29622)*(-o**3 + 2*o**3 - 2*o**3).\nAnswer: -657*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**2 - 4*n + 2. Let k be i(-4). Let g = k + 45. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(330\/(-12))*(-6)\/4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -44?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/7605780 and -79\/651924.\nAnswer: 22817340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0325 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 r, and 1 e when three letters picked without replacement from {r: 9, z: 1, e: 5, c: 5}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88172, -88906, -89640, -90374, -91108, -91842?\nAnswer: -92576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 56*w - 301. Let s be j(5). Let y(l) = 3*l**2 - l. Let z be y(1). Suppose 0 = -2*m - z*m. Put m, s, -2 in decreasing order.\nAnswer: s, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-8))\/7*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10011001?\nAnswer: 10011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 0.5, 4.3, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 8:43 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26887 and 36869.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/61 (c) -15 (d) -0.013 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/(-20))\/((-2)\/(-8)). Suppose 5*x = 4*o + 16162, 4*o = -c*x + 4*x + 16178. Find the common denominator of 71\/10 and x\/540 - 6\/27.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u - 222. Let b be s(13). Let i be (-1)\/b + 11 + -7. Solve 3*d - 4*x = -0*x + 14, -i*d = -3*x - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/24547?\nAnswer: 2\/24547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - d4d41?\nAnswer: -d4d41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -s + 61, -2*s - 2*s = -20. Suppose 125*z + 928 - 1678 = 0. Solve -m*d = -16*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:11 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuhuuuhhhuuahuu. Give prob of sequence ua.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 1.5. Let f = x + -0.7. Let p = -3104 + 3106. Which is the nearest to 2? (a) f (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 (base 11) in base 9?\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3677270 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let w(j) = -7*j - 11391. Calculate w(r(y)).\nAnswer: 14*y - 11391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2 - 2*g + 5 - g. Let a(o) = -o - 1. Let v(n) = -1. Let i(r) = -a(r) + 2*v(r). Calculate -4*d(l) - 10*i(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6824, 6831, 6850, 6887, 6948, 7039?\nAnswer: 7166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 948220 is divided by 5712?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.3 (c) -11\/6 (d) -1\/7 (e) 0.007 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/(4*3\/8). Let q = s - -18. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from csfsq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33721927103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12350852, 12350858, 12350868, 12350882?\nAnswer: 12350900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 4961?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y. Let q(v) = v**2 - 11*v. Suppose 3 + 5 = -j - 3*m, 5*m - 16 = j. Let i(d) = j*x(d) + 6*q(d). Let l(c) = 9*c. Determine i(l(o)).\nAnswer: -405*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1680 and 504.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 19, 4 in ascending order.\nAnswer: 4, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 4 + 2 + 1 + 2*a**3 + 0 + 0 + (1 + 2 - 2)*(-3*a**3 - a**3 + 3*a**3) + 12*a + 3*a**3 - 12*a - 37*a**2 + 37*a**2 - a**3.\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = 5*y, 11*i - 133 = y + 14*i + 16*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 15*r - 87. Give w(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 0.1, 77, -5\/2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 - 25*o**2 + 18. Let d(p) = 9*p**3 + 50*p**2 - p - 35. Let g(q) = 4*d(q) + 7*k(q). Let r = -19 + -6. List the prime factors of g(r).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 1. Let b be -2 + (s - 1\/4). Which is bigger: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1823736.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 939, 941, 941, 939, 935, 929, 921?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2*b + 3 + 1.\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - y = -8*x + 161, -5*x = -5*y + 795. Let g = x + 182. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98883, 98984, 99089, 99198, 99311, 99428?\nAnswer: 99549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313615, -627243, -940869, -1254493?\nAnswer: -1568115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134033 = -16*i - 9542 + 78725. List the prime factors of i.\nAnswer: 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 2*z = 3*z + 206 - 268, 31*z = -4*b + z + 312 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9100)\/(-40) - (-2)\/(4\/(-3)). Let h = 252 - g. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 108 = -4*g + 54 - 22, 0 = 4*x - 4*g - 40 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2*k**6\/15 - 7*k**2\/2 - 13*k + 1. Let y(t) be the first derivative of u(t). Find the first derivative of y(d) wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -t + 7*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2786, 2793, 2800?\n\"Answer: 7*d + 2779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.028, -17, 35, 1\/4, 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 7*r - 2. Let b be t(-7). Let l be ((-1)\/(-1))\/(b\/(-8)). Solve 0 = -5*s + 4*h - 4, -l*s - 2 = -h - 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119195705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*s**3 + 229*s + 4*s**2 + 14*s**3 - 215*s - 4*s**2 - 7 to the form l*s + h*s**3 + g + p*s**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7869097 months to millennia.\nAnswer: 0.000232242475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.66 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -2*m**6\/45 - 11*m**5\/30 - m**4 + 20*m**3\/3 + 6. Let u(x) be the third derivative of f(x). Factor u(p).\nAnswer: -4*(p + 2)*(4*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 bigger than -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 + 63. Let z = k + 48. Suppose 5*t = z*t. Solve -p + 6*p - 20 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - 25*v**2 - 77 + 1294*v + 77 + 12*v**2.\nAnswer: 2*v**2 + 1294*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 383087.1 months?\nAnswer: 3192.3925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -2\/7 (b) 0.4 (c) 3 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.75 + 0.25. Let k = -37.72 + o. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 10:18 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 6*h**3 + 10*h - 12*h**3 - 3*h**3.\nAnswer: -21*h**3 + 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 31, 67, 117, 181, 259, 351?\n\"Answer: 7*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115217747 to the power of 1\/2, to the nearest integer?\nAnswer: 33395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 + 100 + 1344\/35.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1305.18468 to the nearest ten.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 31*x + 642. Let c be v(45). Solve 0 = -y - 2*y - 9, -b = -5*y - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.14.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78225*v - 5689 wrt v.\nAnswer: 78225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*x = 0, -38*x + 36*x - 4 = -2*j. Suppose 0*u + 4*u = -24. Let y(v) = 4*v + 1. Let l(i) = 1 - 241*i + 123*i + 119*i. Give j*y(t) + u*l(t).\nAnswer: -2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -17. Let g = 42.99999917 + s. Round g to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973820 is divided by 592.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11 - b**3 + 2 + 1 + 5 + 9*b**2. Give r(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k + 7. Let f(v) = -7*v + 11. Calculate -5*f(a) + 8*q(a).\nAnswer: -5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p - 18 = -16*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3*i = -3*d + 1905, 0 = -2*d + 3*i + 1271. What are the prime factors of d?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 3, -7, -1, -639, -0.03, 0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (3 + -5) - 17 - (-36 + 28)) + -27\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19542.66ug?\nAnswer: 0.01954266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 263\/10?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4 + 9*r**3 + 462*r**2 - 484*r - 936 = 0 for r.\nAnswer: -18, -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 445.5363 times -5\nAnswer: -2227.6815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51351106 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -599 - -165. Let y = -270 - o. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f. Let i be u(6). Suppose -4*s - 3*z = -5, -2*z = 5*s + 2*z - i. Suppose -3*h + s*w + 27 = -w, 0 = 2*h - w - 17. Solve -3*q + h = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11.2. Let x be 6\/2 - (-1 + -1). Which is the third biggest value? (a) f (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1*i*i*i**(-6\/7)*i**(-2\/13)*i*(i\/(i**(3\/8)\/i))\/i assuming i is positive.\nAnswer: i**(2631\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-24))\/(-11) - (-92)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 892080*a**2 - 24980592*a.\nAnswer: 3*a*(a - 297388)*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 62544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -8. Let a(l) = -l**3 + 15*l**2 - 14*l + 4. Let z be a(q). Solve 0 = z*j + 5 + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268894, 268875, 268854, 268831?\nAnswer: 268806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 11) to base 2.\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6987806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27972 - -27971.999934405. What is c rounded to 7 dps?\nAnswer: -0.0000656","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443061966.\nAnswer: 2, 3, 73, 431, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/2)\/((-1078)\/(-616)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 + 0.15. Let g = c - 0.1. Let t = 0 - g. What is the nearest to -1 in -0.3, t, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6*k = 2. Let g be 15\/4 - k\/(-8). Let x(b) = -9*b + 5. Let r(q) = 3*q - 2. Let m(s) = -7*r(s) - 2*x(s). What is m(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 491476, 68 in ascending order.\nAnswer: 4, 68, 491476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 2295.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1814, 1803, 1788, 1769?\n\"Answer: -2*l**2 - 5*l + 1821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -145 - -110. Let u = -142 - -110. Is u less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4661545 - 34?\nAnswer: 4661511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 54 = 6*p. Suppose -214 = -5*v - 69. Suppose 0 = -5*r + 2*k + 130, 0 = -r + 3*k - 3 + v. What is the remainder when r is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 55 - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from pppuupuppuupppuppp?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzzbzbobzbv. Give prob of picking 3 z and 1 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 461, 0, 4, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 194.3 - 194. Let p = -1 - -0.8. Let x = 5.2 + p. What is the second biggest value in m, -0.5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -297*u + 45. Let s(g) = 119*g - 18. Let b(p) = -4*f(p) - 10*s(p). Let t = -3 - -5. Let w(k) = -k**t - 6*k**2 + 3*k**2. Give w(b(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (51 - 17) - 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 17*p**2 - 34*p - 10. Let d(r) = 90*r**2 - 172*r - 51. Determine 2*d(s) - 11*k(s).\nAnswer: -7*s**2 + 30*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -28831, -30 in descending order.\nAnswer: -1, -30, -28831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*m + 4*g, 0*m + 5*g = 3*m + 112. Let o be m\/((-2)\/(-9) + (-345)\/1431). Is (-1 - 2 - -4)*o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let j = -71 + 75. Let t(d) = 4*d. Let y(v) = -v. Let h(c) = j*y(c) + 5*t(c). Give s(h(i)).\nAnswer: 512*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(((s**0\/s)\/s*s*s)\/s))\/(s**(4\/3)*s))**50\/((s\/(s**(1\/2)\/s*s*s))**(-31)\/(s\/s**0*s\/(s\/s**(2\/29))*s)) assuming s is positive.\nAnswer: s**(12163\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88636364 + 2?\nAnswer: -88636362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(38\/10) - -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4\/1*(-2 + 1). Let s(u) = -u. Let t(r) = -6*r - 1. Let z(o) = x*s(o) + t(o). Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1982 + 2331. Calculate the remainder when x is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.6925l in millilitres?\nAnswer: 556692.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**3\/3 + 11*u**2 + 8*u - 15. Let n be y(-8). Let m = n - -57. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190336571?\nAnswer: 3, 109, 193, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -20. Suppose 0 = -3*w + w - 28. Let k be (-1)\/w*80\/(-20). Which is the nearest to k? (a) -1 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2 - 5, -2*w - 4*h = -32. Let l = 166214 + -166210. What is the lowest common multiple of l and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/3264 and 117\/952?\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*s - 19*s + 3. What is the third smallest value in 2\/7, s, -19, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000201619 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/24 - p**3\/2 - 3*p**2. Let o be d(3). Suppose o = k + 3*k - 68. Calculate the greatest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((3 + 4*sqrt(98)*-1 - (sqrt(98) + (3 + (sqrt(98) - 2*sqrt(98)) - sqrt(98) - sqrt(98)) - (-3*(sqrt(98) - (sqrt(98) + -1)) + sqrt(98)))) + 3))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(720) + 1)*6 - sqrt(720))*6.\nAnswer: 37 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 43. Give d(-13).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/7 - 120*k - 1692\/7 = 0. What is k?\nAnswer: -2, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11653503 is divided by 7357.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15483 is divided by 967?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/45 (b) -3 (c) 4\/5 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 97\/6, 1\/3, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 15. Let n(w) = 18 - f*w**3 - 2*w - 2*w + 5*w + 19*w**3. Does 7 divide n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393 and 1288909.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3904616502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -59, -69, -93, -137, -207?\n\"Answer: -z**3 + 2*z**2 - z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 - 5*p**2\/2 - 2*p - 22. Let b be l(11). List the prime factors of b\/(-4)*-2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 3. Let u be b(-2). Suppose -9*l = 9*l + 38*l + 224. Sort u, -1, l in descending order.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91.31958 - 1.52258. Let s = -0.203 - z. Let a = s + 83. Sort -4, a, 1\/2 in decreasing order.\nAnswer: 1\/2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f - f - 6*f + (-3 + 5 - 3)*(-3*f - f + 3*f) + (f + 0*f - 3*f)*(-3 + 2 + 3) - 3*f + f + 3*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = -d, -2*r - 10 = -12. Suppose 592 = d*v + 13*v. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**5 + 202*t**2 - 83*t**2 + 1 + 7 - 7*t + 7 + 14*t**5 wrt t.\nAnswer: 260*t**3 + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7036916983 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7ffa48 - 3?\nAnswer: 7ffa45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171978318 and 1284.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-3)*(-75)\/(-4). Suppose -13*p + 43 = -u. Let g = 17 + -9. What is the remainder when p is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1a7d7 (base 14) in base 16?\nAnswer: -10759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -8*x + 2. What is the common denominator of ((-18)\/75)\/((-4)\/(-15)) and (x\/(-45))\/(44\/(-759))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 744 and 8.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 565155 and 11.\nAnswer: 6216705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2574045 or 0?\nAnswer: 2574045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 80144 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 - 1 - -3 - (86 + -61)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2029.97 - 2030. Let n = 0.1 - 0.5. Let u = 0.4 + 0. Sort u, j, n.\nAnswer: n, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54943*o = 54903*o + 1080 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 687749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9}. What is prob of sequence zz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 10736 (c) 0.2 (d) 0 (e) 0.1 (f) -82\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308.869 - 309. Let z = -1.131 - d. Is z at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 14 = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - w**2 + (30*w - 113*w + 31*w + (-2*w + 2 - 2)*(2 - 2 + 4))*(-4*w + w + w)*(7 - 15 - 7) to r*w**2 + f*w + o and give r.\nAnswer: -1801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**4 - 20502*l**3 - 84*l + 57717507 with respect to l.\nAnswer: 8*l**3 - 61506*l**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 308416 divided by -77104\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224680985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020334430665 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15.7, -2\/7, 100?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2357 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 take away 891041.7628?\nAnswer: -891002.7628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*((sqrt(144)*6 + sqrt(144))\/sqrt(6) - sqrt(24)))\/(sqrt(144)\/(sqrt(1200)*1)))**2.\nAnswer: 460800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*y - 209 + 1229 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.8 - 39. Which is bigger: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*125.1\nAnswer: 112.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7928 - -3.389.\nAnswer: -7924.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 228*f - 4*f**5 - 40*f - 33*f**4 + f**4 - 48 + 168*f**3 + 128*f**2 - 400*f**2.\nAnswer: -4*(f - 1)**4*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18026600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -845.7593 and 190885.\nAnswer: 190039.2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + o - 4*o - 60, 4*o + 112 = -4*c. Calculate the common denominator of 58\/(-6)*(-9)\/c and -55\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + n + 15, 195*u = 97*u + 101*u + 10*n + 185 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -508, 41, -2, 0, 2, -4 in descending order.\nAnswer: 41, 2, 0, -2, -4, -5, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2477, 2434, 2381, 2312, 2221, 2102, 1949, 1756?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1426644, -1426642, -1426640, -1426638, -1426636?\n\"Answer: 2*j - 1426646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = -16*a + 155. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20199326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4304*t + 4299*t - 8606*t. Suppose 5*q - 13 = 4*k, -3*k - 6*q = -2*q - 29. Give y(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = -2*l, 23 - 13 = 5*l - 2*f. Which is smaller: l or -7\/78?\nAnswer: -7\/78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 238a6 - -52?\nAnswer: 23948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12*v = -v + 26, -5*z - 2*v = -187. What is the remainder when (3 - 1)\/(-2) - -151 is divided by z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/275 + 2191\/2475. Factor z*a - 8\/9 - 2\/9*a**2.\nAnswer: -2*(a - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*a + 19, -120*l - 68 = 4*a - 124*l for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9253 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10602228 and 9\/304.\nAnswer: 42408912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 994.09 - 994. Put 1\/4, -0.1, -2, n in increasing order.\nAnswer: -2, -0.1, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let i be q(-6). Let o be (i - 1)\/((-1)\/4). Suppose 0 = o*v - 0*v - 2*y - 22, 60 = 5*v + 4*y. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbjbbb.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301104 and 324802?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f + 9. Let c(j) = 2*j + 4. Calculate 5*c(k) - 3*m(k).\nAnswer: -5*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/(21\/(-28))*(-106)\/(-477).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.08 + -262.08. Let h = c + 256.82. Is h >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 5340 - 5353 + 2*o**2 - 5*o + 3*o + 2*o to the form y*o**3 + q + z*o**2 + s*o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*x + 326 - 56 = -443 + 64 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o + 33. Let q be u(10). Let s be 530\/(-120) + 3 + q + -2. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, -6, 5\/79?\nAnswer: 5\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 19 - 4*u + 15.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 48*w**3 + 3*w**2 + w - 1. Let p be i(-1). Let f = p - -45. Which is bigger: f or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1806.88347 seconds?\nAnswer: 0.002987571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/4, -62, -12?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j + 40. Let t(k) = -1. Let y be (-2)\/4*4 - -1. Let m(i) = y*r(i) - 50*t(i). Let u(d) = -3*d + 3. Calculate 5*m(o) - 16*u(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431130 (base 5) to base 14.\nAnswer: -5428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2. Let g be ((-4)\/10)\/((-2)\/80*4). Let f(y) = g + 0 + 5*y**2 - 4. Determine f(q(i)).\nAnswer: 80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 10:12 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2298583333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -922349, -1844758, -2767225, -3689750?\n\"Answer: -29*x**2 - 922322*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.95 - -0.05. Let c = -78.8 + 78.7. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14968 is divided by 428.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*j)*(-3 + 0 + 1) + 6*j - 2*j - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (15 - (2 - 1)) - -39?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133516.\nAnswer: 2, 29, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 3, n: 1, r: 2}. What is prob of sequence mm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 373*k - 9727. Give r(26).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 95, 85, 61, 17, -53, -155?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53233 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2.5. Let c = -999\/1364 - 6\/341. What is the second smallest value in c, l, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 5:00 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -6*j + 94. Let z(v) = 250 + j*v - 250. Let p(b) = -9*b**2. Give p(z(m)).\nAnswer: -1296*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143654462 rounded to the nearest 100000?\nAnswer: -143700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saol when four letters picked without replacement from {l: 3, s: 1, x: 1, a: 6, n: 1, o: 5}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 586437076 and 2.\nAnswer: 586437076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(78) - 4*sqrt(78)*1)\/sqrt(6))**2.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5 - 79708*f**4 - 557880*f**3 - 876620*f**2 + 557882*f + 956328 = 0.\nAnswer: -39847, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - 66) + -14 + 1 - 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -3*d**5\/20 + d**4\/2 + d**3\/2 - 3*d**2 - 7*d. Suppose i(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 - 9\/45. Let v(x) be the third derivative of -x**2 + 1\/20*x**5 - 5\/24*x**4 + 1\/120*x**6 + h*x - 1\/2*x**3 + 0. What is v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2516 - -1480. Let u = -662 - y. Does 34 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1071*l - 1073*l - 240 + 2149*l)*(-4 + 6 - 4).\nAnswer: -10*l + 480","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171276061.\nAnswer: 11, 83, 187597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -226*w**6\/3 - 4*w**5\/5 + w**4\/2 - 4301*w**3 - 6320. Find the third derivative of y(q) wrt q.\nAnswer: -27120*q**2 - 96*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5854 - -5785.778. Let c = 0.622 + m. What is c rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -243*n + 281 + 1420 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*u. Let n = 3\/2 + u. Suppose 0 = -w - 3 + 5. Is w bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5)*d**(-3\/11)\/d*d assuming d is positive.\nAnswer: d**(-58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(16)\/(-2*sqrt(8)))**2 + sqrt(2).\nAnswer: sqrt(2) + 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219 - 183. What is the lowest common multiple of 20 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.033+-1.988\nAnswer: -2.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-21)\/(-98)*-2) - 244\/(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294049 = -60*h + 634121 + 307568. Does 50 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300*g**6 - 187*g**2.\nAnswer: 36000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-14)*19\/38).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -29*h + 9. Let g be (-1 + (-24)\/(-15))*15. Let t(b) = 7*b - 2. Let w(k) = g*t(k) + 2*n(k). Let f(o) = -2*o**2. Determine w(f(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/249 (b) -0.389 (c) 3\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/510 + q**4\/51 + 4*q**3\/51 - q**2. Let a(p) = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + p = 21, -5*g + 10*g - 135*p + 42 = -231*p + 92*p for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1961420 and 9\/6668828?\nAnswer: 33344140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4049, 7779, 11557, 15401, 19329, 23359, 27509, 31797?\nAnswer: 36241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(4*sqrt(4)) + sqrt(6)\/sqrt(147))*2.\nAnswer: 11*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*g**3 - 3*g**2 + 2*g**2 - 85*g**3 - 2*g + 0*g**3 to y*g**2 + z*g**3 + p*g + s and give z.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-1 + (-1 - 23))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(27\/3)*3\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c + 1. Let l(p) = -11*p**2 - 20*p - 312. Let f(g) = -4*g**2 - 7*g - 110. Let d(n) = 17*f(n) - 6*l(n). Determine d(r) - 2*y(r).\nAnswer: -4*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1283723 or -1283725?\nAnswer: -1283725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004497 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 24. Is 16 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41626 at least as big as 40091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6827, 6863, 6939, 7067, 7259, 7527, 7883?\n\"Answer: 2*f**3 + 8*f**2 - 2*f + 6819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Let g = 13 + -12.7. Which is the smallest value? (a) 2 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - (-1)\/3. Let c = 2635 - 2636. Sort c, 0.5, 6, b in decreasing order.\nAnswer: 6, 0.5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*j + 159*j - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose 0 = -x + 4, 0 = a - 4*x - 97 + 95. Find the third derivative of a*u**5 - 2 - 34*u**q + 54*u**2 + 2 wrt u.\nAnswer: 1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.37614 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrrh when four letters picked without replacement from {b: 1, r: 4, h: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:01 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-32)\/12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*a - h, 0 = -5*a - 9*h + 6*h + 41. Suppose -a*g + 2028 = -4*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 2\/3, -0.1879, -3, 0.3, -6?\nAnswer: -0.1879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6829 - 6832. What is the third smallest value in 1\/6, -0.423, v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10019645, 10019647, 10019659, 10019687, 10019737, 10019815?\nAnswer: 10019927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 - 20*x - 10. Let i(y) = 3*y**2 - 7*y - 3. Let t(o) = -17*i(o) + 6*s(o). Let b be t(9). Calculate the highest common divisor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 5875*o**3 - 4974*o**3 + 11*o.\nAnswer: 901*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3033 and -3048 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100010000110100 (base 2) to base 16.\nAnswer: -14434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123.21 - 123.2111028. Round n to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 858 = -15*n. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 14*s**2 + 2*s + 33. Let i be l(-14). Suppose -4*z + 34 = 2*v, 2*z - z = 5*v + 25. Suppose z*u - 2035 = i*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -1.3. Suppose 0 = -7*j + 6*j + 3. Let m be 2387\/620 - 78\/24. Which is the nearest to -0.4? (a) j (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*t + 3*i, -10*i = 2*t - 15*i - 48. What is the remainder when 282 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88937162.\nAnswer: 2, 1187, 37463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-3))\/(x\/((x*x**1)\/x)))\/((x\/(x\/x**(-2\/7)))\/x**(-2\/33)))**45 assuming x is positive.\nAnswer: x**(18105\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:07 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(4\/(48\/(-9))). Suppose 4*q - q - v = o, 5*q = -o + 104. Let y = q + -20. Let c(n) = n**3 + n**2 - n - 2. Calculate c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -70. Differentiate 3 - 41*h**2 + 41*h**a - 36*h**3 with respect to h.\nAnswer: -108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 3. Let a(p) = -p - 4. Let d(z) = 4*a(z) + 3*s(z). Is d(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 363.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 506, 1998, 4492, 7988, 12486, 17986, 24488?\n\"Answer: 501*p**2 - 11*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10229332?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 846 in -5\/2, -0.2, -1, -56.3, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28477 is divided by 7086.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.2 + 8. Let z = o - -0.4. Let d = z - 2. Which is the smallest value? (a) d (b) -2\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.414 - 0.21673026.\nAnswer: -0.63073026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - 1)*(-150)\/35. Suppose 0 = 3*h - 3 + x. Let q = 18 + h. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2099, -2130, -2161?\n\"Answer: -31*a - 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/39 - -34\/195. Let p = 31\/63 - 5\/7. Let q = -95307\/5 - -19061. What is the nearest to q in p, 2\/5, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 6*f**2 - 8*f - 7. Let k(g) = -g**2 - 26*g + 0*g**2 + 27*g + 1. Determine 6*k(n) + r(n).\nAnswer: n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3817*u. Let q(n) = -n. Calculate a(q(m)).\nAnswer: -3817*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4714 - 4687. What is the remainder when 4802 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 1, u: 1, c: 2, g: 1, e: 1}. What is prob of sequence he?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 70 + 218. Let f = k - -431\/6. What is the nearest to -1\/6 in -3, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11315 - -13. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r - 4. Give i(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.996389g in nanograms?\nAnswer: 1996389000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 1 = -3*c, 2*c = -4*t + 6*t - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4384?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 3581781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.87 + -0.13. Let u be 3 - (68\/(-16) + -1 + 8). Put u, 0, h, 2 in decreasing order.\nAnswer: 2, u, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282236 is divided by 392?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 2:43 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 89. Is l greater than or equal to -5\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154910 rounded to the nearest one thousand?\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*p - 55, j - 3*p - 24 = -j. Solve -2*x = j + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 6 - (3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1051 - -1051.501. Round t to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1070 = 2*l + y, 2*l - 5*y - 407 - 639 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 1)*(0 + 2 - 1) + 0 + 5 + 1 + 1 + 1 - 1 + 4 + 1 - 3)*(-538*h + 214*h - 54*h) to q + f*h and give f.\nAnswer: -3024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40101 divided by -3.\nAnswer: -13367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.35 - 1.3. Sort c, -3, -2.\nAnswer: -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000118841497 rounded to seven decimal places?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1629?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n. Suppose 3*k = -n + 12. Suppose -l - 2*d + 4*d + 156996 = 0, 628008 = 4*l + k*d. Round l to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - (33 - 0 - 34).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55099428 divided by -4?\nAnswer: -13774857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**2*l**2*y - 81*b**2*l**2 + 12*b**2*l*y + b*l**2*y + 5*b*l*y + b*l + 4*b*y + l wrt b.\nAnswer: -8*l**2*y - 162*l**2 + 24*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168831, -167826, -166821, -165816, -164811, -163806?\nAnswer: -162801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036176?\nAnswer: 2, 127261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-3648)\/(-204) - 20) + (-2)\/(-17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0193469 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1 - 5*y**3 - 5*y + 4*y - y + 0. Let r be s(-1). Suppose 402 = -0*l + r*l. What is the remainder when l is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u + 10. Suppose -p + 34 = -5*p + 3*w, 2*p + w = -12. What is the least common multiple of 8 and n(p)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -38*x + 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbbabnbbaabbiinb. Give prob of picking 2 i.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.538600714 rounded to 5 decimal places?\nAnswer: -0.5386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*t - n - 8, 4 = 3*t - 4*n. Suppose -4*w = -t*z - 8, 0*w = 4*w - 16. Let g(m) = -m**3 + 2*m. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2 - (-2 - -1 - 33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.885 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Suppose 0 = -4*n, 5*w + 0 - 5 = -5*n. Sort w, o, 5.\nAnswer: o, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let u = -264\/25 + 2954\/275. Which is the biggest value? (a) 0.3 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -88768, 2, 0.5, -1 in decreasing order.\nAnswer: 7, 3, 2, 0.5, -1, -88768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 6. Let a(z) = 34401*z - 17205*z - 17194*z - 15. Give a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 500*c + 6. Let m(b) = 9*b**2. Give o(m(v)).\nAnswer: -162*v**4 + 4500*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 8, 0.2, -80?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**5 + 670*p**3*v + p**2 - 8100*v wrt p.\nAnswer: -240*p**2 + 4020*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -120, -102?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -7\/5*b**5 + 0*b**3 + 0*b + 0*b**4 + 7 - b**2. What is the second derivative of z(a) wrt a?\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -4 - 14 - (-2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 1238 - 620 - 618.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4348 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.02? (a) 0.1 (b) 1\/5 (c) -4 (d) -7 (e) 19 (f) 1\/500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2 + 1. Let v = 197 + -195. Let d(y) = 9*y**3 - 4 - 2*y + 6*y**3 + 4 + 4*y**v - 17*y**3 + 5. Calculate d(n) - 4*s(n).\nAnswer: 2*n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -84, -86, -88, -90, -92?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4698*r + 178495. Determine v(-38).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*l + 22 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 5244?\nAnswer: 20976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-16 - (7 + -15)) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.089 * 3.\nAnswer: 0.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 20. Suppose -23*j = -161 - 115. Give f(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.554 and -16.\nAnswer: -16.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Let d be (s\/6)\/(9\/(-81)). Is -4 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604804692 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17028 divided by -12?\nAnswer: -1419","meta":{"dup_signals":{},"source":"arithmetic__div_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: In base 16, what is -164 + 24?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -715*k - 34242 - 31538 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 2860522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*v - 161*v + 14 + 2*v**3 - 14 + 654*v in the form t*v**3 + u*v + y + m*v**2 and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5, -385, -1 in decreasing order.\nAnswer: 2\/5, 0.1, -1, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -4*l + 209, 3*x + 2*l - 279 = 7*l - 88 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five quarters of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k + 5. Let r be n(-6). Suppose 0 = p - w - 3, 0 = -5*p - 2*w - 3*w + r. Solve 1 = -p*y + 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1696 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2432.58*-247\nAnswer: 600847.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13 and 33149250378?\nAnswer: 33149250365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(-5 + 5 - 75*b)*(2*b + 6 - 6) in the form f*b**2 + a*b + s and give f.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + y)*(-y + 3*y - y) - 157*y**2 + 151*y**2 + 12*y - 4*y.\nAnswer: -7*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6725*l. Let a(i) = -5*i**2. Determine f(a(h)).\nAnswer: -33625*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 134.1339 micrometers in meters?\nAnswer: 0.0001341339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -67) + (-4 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000332601 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13 + 0 - 41*p - 26 - 50. Let w(l) = 42*l + 62. Let f(n) = 5*u(n) + 6*w(n). Find the first derivative of f(j) wrt j.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35.9, -2, -0.18, 7, -5, 49 in descending order.\nAnswer: 49, 35.9, 7, -0.18, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 26 = -2*y. Let b = -9 + y. Put 1, -2, b in ascending order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*k**2*r + 103*g*k*r + g*r + 70*k**2*r - 7*k**2 + k*r with respect to g.\nAnswer: 5*k**2*r + 103*k*r + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 683471212 a multiple of 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53\/296 - -2\/37. Let k = 0.17586 + -0.27586. Which is the nearest to k? (a) o (b) -50 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23108 is divided by 1359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 1 - (128 + -117)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/50 + (-284)\/(-8) - (-1 - 3\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -45*m**5 + 4*m**3 - 15*m - 4. Let a(g) = g**5 - g**3 - g + 1. Let o(r) = 4*a(r) + j(r). What is the second derivative of o(l) wrt l?\nAnswer: -820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m + 20 = 0. Let x = 3 + -5. Which is the closest to x? (a) 2\/3 (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.949341 litres in millilitres?\nAnswer: 6949.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -24 - (-72 + 32 + 50)) + 4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 6076*j**2 + 60768*j\/5.\nAnswer: -2*j*(j - 15192)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 - 1516*j**4 + 145900*j**3 - 428644*j**2 + 425632*j - 141376.\nAnswer: 4*(j - 188)**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 210 = 16*l + 9*l. Suppose -2*z - 3 = 3*s, -z - 4 = 4*s + 5. Suppose z*a = -a + 16. What is the least common multiple of l and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2299) + 5)*-2 + -6*(sqrt(2299)*-2 + -4)**2 + -4 + 4.\nAnswer: -55282 - 1100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/(-80)*(-36)\/(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/3)\/(15*1\/45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 262393 and 22033.\nAnswer: 2886323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 2*g + 2. Let c(r) = -r**3 + 6*r**2 - 6*r + 3. Let s be c(5). Let h(t) = -28*t**3 + 58*t**3 + 1 + 0*t - 31*t**3 - t. Give s*h(f) + u(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 5*s**2 + s + 1. Suppose 3*x + 1 = -v + 8*x, -3 = -v + 4*x. Let f = v + -14. Suppose 0*z - f*z - 25 = 0. Calculate u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.5, -5, 487\/56?\nAnswer: 487\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5160)\/(-26676) - 16\/(-936).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472441309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i - 4*b + 291599996 = 0, 3*i + b + 218700001 = 0. Round i to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1493, 1755, 2191, 2801, 3585, 4543?\nAnswer: 5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -5*v - 328. Suppose -5*y + v - 6 = -3*p, -4*y = -4*p - 64. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 12:51 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -16) + (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 - 5087*l**4 + 789*l + 5088*l**4 - 791*l + 2*l**3 to the form b*l**4 + r + k*l + i*l**3 + g*l**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978801605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3264 + 4510 + 9623 - 4931 + 7239)*(5*n - 5*n - n**2) in the form x + b*n + a*n**2 and give a.\nAnswer: -19705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -256937 divided by 2?\nAnswer: -256937\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 106413219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-3 - -28) + ((-14 - 3) + 7 - -11))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/4 - 40*u**3\/3 - 19*u**2 - 115*u - 917. Give l(41).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by ((-28)\/(-21))\/((-3)\/(-27))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtkv when four letters picked without replacement from {v: 8, k: 5, t: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:33 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - 12*h + 18*h - 2*h**3 - h**4 - 2*h in the form v + x*h**2 + t*h**3 + k*h**4 + o*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 - s + 20. Suppose -x + 4 + 1 = 5*z, 2*z + x - 5 = 0. Suppose -3*k - k = z. Let a be q(k). Solve -5*f - a = -0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 8*m - 1. Solve 2*l - 5*l = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850207.1 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4870 by -2.\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 2 = -5*q. Let a(b) = -3*b + 13. Let g(w) be the third derivative of w**4\/24 - 2*w**3\/3 + 2*w**2. Let s(d) = q*g(d) - 2*a(d). What is s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3 - 3 - 3)*(-44*z + 18*z - 14*z).\nAnswer: -80*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 781, -589, -1959?\nAnswer: -3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2. Let f(z) = 10847*z. Calculate k(f(m)).\nAnswer: 588287045*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.53472 + -453960.89.\nAnswer: -453959.35528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-14) + (-986)\/(-238) - -1. Find the first derivative of -214*a**3 + 41 + 18 - 2 - p wrt a.\nAnswer: -642*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1139827406*g**4 - 1374786233 wrt g.\nAnswer: -4559309624*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -121. Let b = 20 - m. Let j = 33.6 + b. Round j to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 14) in base 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.835678 rounded to the nearest 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.224 (c) 3 (d) 0.4 (e) 37 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 35. Let r be (0 + (14\/(-4))\/j)*0. Which is the nearest to -0.02? (a) -4 (b) r (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/700 + -3\/140. Let z = 5 + -1. Suppose -i = -z*i. Are f and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88242?\nAnswer: 2, 3, 7, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n + 1. Suppose 3*h + 2 = 4*k, -4*k - 3*h = 2*h + 14. Put n, k, -3 in descending order.\nAnswer: k, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 22*q - 81*q + 372600 = 0. What is the greatest common divisor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45650, -45656, -45668, -45686, -45710?\nAnswer: -45740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19300741 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 <= -713827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 2*m + 1. Suppose -43 = -2*x - 55. Let j = -10 - x. Give z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 6*sqrt(325)*3 + -1 + -3*sqrt(325))**2 + ((1 + -2 + sqrt(325) + 3)*5)**2.\nAnswer: 340*sqrt(13) + 91426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 - 0.92. Let r = -11.35 - q. Round r to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/v**(-11))\/(v**(-5))**(28\/5) assuming v is positive.\nAnswer: v**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147743 is divided by 73789.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 231011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*i**2*l*z - 11*i**2*z**3 + 2*i**2*z**2 + 2*i**2*z + 3*i*l*z**2 + 12*i*l*z + 141*i*z**3 + 1090*l*z**3 + 126*z**2 wrt z.\nAnswer: -66*i**2 + 846*i + 6540*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t**3 + 0 - 1\/12*t**4 + t**2 + 0*t. Let v(a) = -12*a**2 + 30*a**2 - 19*a**2. Calculate d(v(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1, 1\/2, 93, 0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 18*d + 61. Let y be j(15). Calculate the remainder when y - (-3)\/(-2)*(-104)\/(-78) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from {k: 6, n: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(112\/255))\/(90\/20) and -145\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(5\/((-25)\/10)). Solve -p*d - 13 = -5*v, -4*d - 5*v = -v - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, -4, 463, 0.4 in ascending order.\nAnswer: -4, -2\/3, -0.2, 0.4, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5040)\/(-3519))\/7 + -4*(-6)\/(-204).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*i + 5, -5*i + n = -n - 12. Let v = i - -1. Let f = 4 + v. What is the highest common divisor of f and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + j - 3*j)*(-j - 2*j + 0*j) + 26 + 6*j**2 - 26)*(2*j**2 + 3*j - 7*j**2 + 6*j**2).\nAnswer: 15*j**4 + 45*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 + (-3 - -7). Suppose -12 = -5*u - i. Is u != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 722 and 868?\nAnswer: 313348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*h - 5 + 3, -9 = 3*c - 2*h. Let w = c + 5. Find the first derivative of 0 + 10*g**4 - 8*g**w + 1 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 - 2\/3*k**3 - 3*k - 1\/4*k**4 + 4. Let s be v(-3). Solve b - 10 = s*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7567 and 10810.\nAnswer: 75670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 17*y**4 + 4 + 3 - 13 - y + y**2 + 2*y**3 to the form q*y**3 + s*y**4 + t*y**2 + o*y + b and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 7*f**2 - 2954*f + 4. Let v(a) = 16*a**3 - 23*a**2 + 8849*a - 13. What is -13*p(i) - 4*v(i)?\nAnswer: i**3 + i**2 + 3006*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 20. Determine c(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*u**4*y**2 + 237*u**2*y**2 - 6*u**2 + 40*u*y**2 - 15*u*y wrt u?\nAnswer: -60*u**2*y**2 + 474*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95250 and 2379345?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5ac - -1ed?\nAnswer: -3bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u, -2*r = -0*r + 2*u + 28. Let h be r + 13 + 0\/2. Is 0.02 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -33*a + 176019. Let i = 29773 - a. What is i rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4104 = -16*z. Calculate the highest common factor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -72, -171, -310?\n\"Answer: -20*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 10*m - 41*m + 5533 - 5555. Let q(k) = 2*k. Let g(a) = d(a) - 4*q(a). What is the first derivative of g(z) wrt z?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008263 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 times 4.4811?\nAnswer: 3974.7357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -77, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.6842 + -6.431724. Let k = 0.252 - o. Round k to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3342428, -3342445, -3342474, -3342515, -3342568, -3342633?\n\"Answer: -6*q**2 + q - 3342423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313\/6 + -52. What is the closest to 3 in 1\/5, -5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.5? (a) 0.1138 (b) 0.1 (c) 0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630279 to the power of 1\/2, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 335, 1570, 3705, 6740?\n\"Answer: 450*k**2 - 115*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60)\/525*-7*5\/18. What is the second smallest value in 281, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -290.1 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22349 by -13421.\nAnswer: 22349\/13421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195)\/(-2)*648\/(-135). Let q = i + 609. Does 47 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*s = -7060, -5*g + 5*s - 8277 = 558. Let c be 3 + 1 - (-16)\/(-40)*2285. Let p = c - g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.31203 or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*a - 2950 = -4*a. Calculate the highest common divisor of 65 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3621 + -0.0379. Let g = 0.2 + -0.7. Which is the nearest to 1? (a) n (b) g (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/6*-57*52\/2470?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 2*n - 7, -9*n + 5*n - 41 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-8 - (-663)\/52). What is the fourth smallest value in a, 1\/6, 1, 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-263307)\/1867086 - (1 - -1 - (-51)\/(-18))?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55455518\/173995 + 28370\/89. Let f = 2\/345 - z. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/11, -4, 75, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -138103 - -1405750438\/10179. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + -2) - (-2 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48257133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 4 - (1 + 1) - (-2 + -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6092*0.3\nAnswer: -1827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*q**3 - 1421*j**3*q**2 + 40*j**2*q**3 + j**2 + 1056*j*q**3 - 5*j*q**2 wrt q?\nAnswer: -6*j**3 + 240*j**2 + 6336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*u**2 - 57*u + 23*u - 216*u**2 - 4 - 50*u.\nAnswer: -(21*u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -31. Calculate the smallest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-54))\/(1\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 7*c**2 - 10*c. Let g be x(5). Suppose 507 = -g*d + 3*d. Suppose -v + b = -d, -5*v + 539 + 304 = -4*b. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, c: 9}. Give prob of sequence csc.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 375, 338, 241, 54, -253, -710?\n\"Answer: -5*g**3 - 2*g + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 246 = -78. Suppose 0 = -7*r + 9*r - l. What is the remainder when 67 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 6. List the prime factors of b(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.11 (b) -2\/13 (c) 353 (d) 9 (e) 3 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2 + 578540*i - 5216853 wrt i.\nAnswer: -2*i + 578540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/480 + 7*t**5\/240 - 5*t**4\/48 - 2*t**3\/3 + 132*t**2. Solve q(r) = 0 for r.\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2*l + 14. Let x(h) = 2*h**2 - 9*h - 45. Let m(p) = x(p) + 3*z(p). Give m(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50234 + 2?\nAnswer: -50232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -44, -70, -116, -188?\n\"Answer: -p**3 - p**2 - 2*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.5, -0.11, -16?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from mtmmmtmtttmtm?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.263 * 5\nAnswer: 1.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*s + 6 = -100*s + u, -s - u - 9 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/51, 6\/5, -19\/5, 2\/9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - z + 63. Let x be f(-11). Let m = 1.269 + -0.869. Which is the third smallest value? (a) x (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*18.9\nAnswer: 4.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -0.5, 1, 2, -4.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 40586 = -5*u - 4*o, 2*o + 81142 = 4*u. Let t be (-1 + -1 + u)*1. Suppose 5*n - 2*y - t = 0, -7*n = -2*n + 2*y - 20269. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394831 is divided by 17009?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 + 147?\nAnswer: 17a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 380050 and 11296.\nAnswer: 2146522400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 1288*a - 20. Let g(p) = 3*p**2 + 1289*p - 24. What is 5*g(z) - 6*n(z)?\nAnswer: 3*z**2 - 1283*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-7)\/5 - ((-641)\/(-110) - 7)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13170 - 232 = -297*h + 64*h - 2906 for h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 2560630 - 2644743 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135993, -135995, -135997, -135999, -136001?\nAnswer: -136003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*p**4 - 202*p**3 + 424*p**2 + 104*p = 0. Calculate p.\nAnswer: -13, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + a**2 - 3*a**2)*(10 - 22 + 18)*(-3 + 3 + a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10.259 times 277.4\nAnswer: 2845.8466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15\/2 (b) 0.26 (c) -6\/5 (d) -2 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*t = 41, 0 = 5*h + 18747*t - 18759*t - 5 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:09 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 + 24\/3 + 14\/2. Put -25, 4, -0.2, a in descending order.\nAnswer: 4, a, -0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 109, 392, 943, 1852, 3209, 5104?\n\"Answer: 15*p**3 - p**2 + 3*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from hnbhhbbkhkkbbkz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46.4 - -31.1. Let g = -14.9962 - 0.0038. Let b = f - g. Sort 3, b, -0.2 in increasing order.\nAnswer: b, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96157490 and 2420.\nAnswer: 192314980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 23*m + 12*m + 2*m to i*m + r and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbvb when four letters picked without replacement from {v: 2, m: 2, b: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 239357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2193\/11446 - -11\/59. Let p = s + 1201\/7178. Let c = p - 199\/999. Calculate the common denominator of c and 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*k - 2*d, 2*k + 5*d = -13 - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98534480 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-8) + (-26)\/(-16). Suppose -2*p = f*p. Let k be (-3 + p)\/((-9)\/99). Calculate the highest common divisor of k and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4411.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g + 3. Let v(k) be the second derivative of 5*k**3\/6 - k**2 + 4*k. Let c(l) = 4*h(l) + 5*v(l). Let i(t) = t + 3. Give 5*c(y) - 3*i(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3587 - -0.373. Is 0 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -130, 0.2, 0, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/33)\/(98\/(-539))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1.6. Let d = -4 + 30. Let l = d - 27. Which is the smallest value? (a) -0.2 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1918 and 53186?\nAnswer: 7286482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -j - j, 2*m - 10 = -5*j. Suppose 10*k + 8 = 12*k. Solve -5*b - k = -3*g, j = 2*b - 3*g - 4 + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60795 and 23670?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 - 11 + 8 - 244*r as y*r + m and give y.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -837*t**3 - 1040*t**2 - 52*t + 1644 wrt t?\nAnswer: -5022*t - 2080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5353? (a) -1\/4 (b) -0.2 (c) 3 (d) -5 (e) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 391677764*l**3 - 146149456.\nAnswer: 1175033292*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o. Let y(r) be the first derivative of 2*r**2 - 8. Give s(y(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-20)\/(-3))*(48\/(-1380))\/((-720)\/(-1500))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 8*t**2 - 9*t + 9. Let y be b(7). Let u = y - -3. Let k = u - -13. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3690 is divided by 3679?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1783422 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7424039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let l = m + -4. Which is the second smallest value? (a) -3 (b) 3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c**4 + 6711366*c**3 + 20641277*c - 2.\nAnswer: -84*c**2 + 40268196*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010 (base 3) in base 14?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 72. Let g be (-32)\/a + (-4)\/18. Let j(u) = -1 - 31*u - u**2 - 26*u - 32*u + 88*u. Let f(i) = -i**2 - 2*i - 4. Give g*j(c) + f(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1907068.4735 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*w = 2*w + 19, -w = -5*q + 14. Suppose -s - 3*v = -22, -77 = -2*s + q*v + 2*v. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (1 + sqrt(325))**2)*1 - (5 + sqrt(39)\/sqrt(3) - (sqrt(637) + 2)).\nAnswer: 21*sqrt(13) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2647 times -24?\nAnswer: 63528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**7\/10080 + l**6\/2880 - l**5\/240 + l**4\/12 - 3*l**2. Let y(r) be the second derivative of x(r). Factor y(u).\nAnswer: (u - 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*p - 16. Let z = 6 + p. Suppose -3*l - 2*l + 4*q + 39 = 0, -z*q + 25 = 4*l. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**5 + 1017*n**4 - 167856*n**3 - 61255800*n**2 - 55993200*n + 1831698000 = 0.\nAnswer: -290, -6, 5, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43184, -43188, -43192, -43196, -43200?\n\"Answer: -4*z - 43180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)*i)**(-6\/5)*(i**(1\/3)\/i)\/(i\/(i\/i**0)*i) assuming i is positive.\nAnswer: i**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1544149*o. Let w(l) = -4*l. Determine c(w(t)).\nAnswer: 6176596*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b + 34 = -3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 4 + 4 + (-2*j - 3 + 3)*(2 - 4 + 3) - 4*j + j - 3*j + 1 to b + r*j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/4 - 13*x**3 + 20*x**2 - 106*x - 116. Let i be n(38). Which is bigger: i or -32?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2124 + -311551?\nAnswer: -305423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000196455 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/10)\/(1\/(-2)) + (-15310400)\/(-500)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8453510548044 and 0.4.\nAnswer: -8453510548043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Let p be -5 + -1 + w + -1. Let x = p + 11. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273461 - -820381\/3. Let n = -35.8 - 8.2. Which is the biggest value? (a) t (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -14*x - 377. Let p be z(-28). Sort p, 2\/7, 6.\nAnswer: 2\/7, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1370784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3 + -2.9. What is the smallest value in u, 2\/15, 1\/9, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70211 is divided by 23296?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - 65. Let f be (-36)\/(-81) - (-4274)\/(-18). Let x = f - -313. Calculate the remainder when x is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**3 + 174 - 174 + 51*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -4577, -6732, -8887?\nAnswer: -11042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/44)\/(1260\/3360).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 6*t - 2. Let w(b) = 2*b**2 + 8*b - 4. Let u(s) = s - 2. Let c(z) = u(z) - w(z). Calculate 6*c(p) + 7*f(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1201774500 divided by 8011830\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-36)*-2*5\/20*-1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:58 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2)*-7*3. Let i(s) be the first derivative of 27*s**2\/2 + 256*s + 115. Let r be i(-11). Which is bigger: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.91106632 - -1.9102. Round g to five decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 + -0.1. Let r = 927.2 + -927. Which is the closest to 2? (a) r (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*z**2 - 70*z - 1?\nAnswer: 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3259652.\nAnswer: 1\/3259652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 9*h**2 + 8*h + 9. What is the remainder when 83 is divided by l(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3411*x**3 + 15424*x**3 + 49665*x**3.\nAnswer: 68500*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 13604.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*k - 13*k - 6. Let n = -2 - -5. Let s(i) = i**n + 4 - 4 + 1 + 2*i - 4*i**2. Give s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-45))\/(18\/(-30)). Let t = 0.2 + 0.3. Which is the nearest to -2? (a) 2 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189454*d - 189454*d + 34*d**3.\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8988, -8988, -8990, -8994?\n\"Answer: -k**2 + 3*k - 8990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19705784 a multiple of 2762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 3*i)*((1 + 2*i - 1)*(-2*i - i + 4*i) + 6*i**2 + i**2 - i**2 + i**2 - 3*i**2 + i**2).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7 = 4*a - 16, a + 2*d - 8 = 0. Differentiate 4*w - w**2 - 10*w**2 + 6*w**a + 73 + 9*w**2 with respect to w.\nAnswer: 8*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by (0 - 1)\/((-64)\/6016).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-3)\/27*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(10) - -2*sqrt(10)) + sqrt(10) + sqrt(10))\/sqrt(5)*6.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262 - 470 - 374 - 366 + 215)*(-2*z + 4*z - z).\nAnswer: -1257*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 4:37 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 2:07 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1\/3 (c) -1 (d) -1\/5 (e) -161 (f) -2.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.89709573 to three dps.\nAnswer: -1.897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949480?\nAnswer: 2, 5, 7, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*z + 23 = -8*i, 5*i - 5*z = 35. Solve -3*n - i*u = -2 + 10, 3*n + 2*u - 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 4*k + 0*k + k - 3*k + 0*k + 4 - 4 - k + (-3 + k + 3)*(2 - 1 - 2) - 1 + 2*k + 1 - 4*k + 0*k + 3*k + (3*k + 2 - 2)*(3 - 1 - 3)*(-25 - 22 + 40).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 468 and 7836244.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1100 - 709. Calculate the greatest common divisor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5365.\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in 13, -2\/11, -3\/4153?\nAnswer: -3\/4153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 46074.\nAnswer: -4607.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 6 - 50. Suppose -4 = q*i - 45*i. Suppose -i*z = -2*x + 42 + 52, 2*x = 3*z + 99. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -272*l**5 + l**3 - 1777*l**2 wrt l?\nAnswer: -16320*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.181 - -0.181. Let y = c - -29. Let f = -0.06 + 0.46. What is the third smallest value in y, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -192\nAnswer: -1\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 88?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*-2*4\/16. Find the second derivative of -v*l**4 + 2*l**4 - l + 2*l wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 - -319. Let w(s) = -s**2 + s. Suppose -3*t = 2 - 5. Let r be w(t). Which is the second biggest value? (a) r (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (14 + (21 + 2 - 24)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*o - 4*o + 187, 2*o - 95 = -z. Suppose 2*h + 2*v - 44 = 0, 4*h = 2*v + o + 22. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947216471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48635.\nAnswer: 5, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*m + 6, -4*m - 12 = -0*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35027 (base 15) to base 6\nAnswer: -3341231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1530097*c**3 - 11 - 1530109*c**3 + 28 - 17.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 + 2*v**3 + v**3)*(2*v + 2*v + 2*v) + 42*v**4 + 99*v - 1 + 169*v - 270*v - v**3 to the form r*v + t*v**3 + a + f*v**4 + p*v**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/44)\/((-14)\/140*-10).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.104 (b) -333\/4 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 11 + 11. Find the second derivative of -17*r**2 + 4*r**w - 12*r + 8*r wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/((m*m**2)\/m*m)*m**6*(m*m**(-5))\/(m*m*(m**(-2)\/m)\/m*m) assuming m is positive.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 5, r: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2990001, 2990007, 2990019, 2990037, 2990061?\nAnswer: 2990091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, 6, 13 in decreasing order.\nAnswer: 14, 13, 6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2387 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.1306 to 0 dps.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a - 30 = 258 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 4*q + (2 + 0 - 4)*(-q + 3*q - q) - 782*q + 45 - 83 + 780*q - 38.\nAnswer: -8*q - 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + (-6 + 12 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3936efe - -1?\nAnswer: -3936efd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f - 7540124 + 7541274 = 0 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4104 * -0.7\nAnswer: -0.28728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -3390406\nAnswer: -33904060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9485 - 10) + 9 + -4 + 0 + 2?\nAnswer: 2, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68\/63 + 6\/7. Let j = -53\/22 - -10\/11. What is the closest to -2\/7 in f, 1, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152867421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m. Let p(s) be the second derivative of -1\/12*s**4 + 0*s**2 + 0 + 11*s + 0*s**3. Give p(w(n)).\nAnswer: -121*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 34, 1810 in increasing order.\nAnswer: 4\/7, 34, 1810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 102*p - 564. Let u be v(-5). Which is the fourth biggest value? (a) u (b) -2 (c) 0.02 (d) 1.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14417494 divided by -13?\nAnswer: -1109038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 10*f - 2. Let b(y) = -8*y**2 - 11*y - 2. Let g(z) = -5*b(z) + 6*n(z). Find q such that g(q) = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -12*d**2 - 1. Let v(w) = -11*w**2. Calculate y(v(j)).\nAnswer: -1452*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 755*g - 768. Give o(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = g + 4, 16*c - 11*c + 21 = 3*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 16) in base 15?\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1927 + 1930. Solve 2*o = -4*s + 3*o - 5, -i*o = 5*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 + 4368*h**4 - 351776*h**3 - 8920008*h**2 - 41930460*h - 33366600 = 0. What is h?\nAnswer: -15, -5, -1, 111, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.6 + -45. Let c = 29.6 + x. Suppose 4*j - 5*r = 1, j - 4 = -2*r + 6. What is the closest to -0.2 in j, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(40) - sqrt(640))*5)\/(2*sqrt(180)*3 - sqrt(180) - (sqrt(180) + (sqrt(180)*-2 - sqrt(180))*-4)))**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2 - 3*t + t)*(-2*t + 2*t + t + (0 + 4 - 2)*(-3*t + 3*t + 2*t))*(252 - 194*t + 388*t - 195*t).\nAnswer: 5*t**3 - 1270*t**2 + 2520*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o*o*o**(5\/4)*o)\/(o*o*o*o**1)**(-42) assuming o is positive.\nAnswer: o**(689\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 10. What is the lowest common multiple of l(-2) and 62?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-3)\/((-12)\/(-4)) - -2. Suppose 5*q = m + 28 + 327, -w*q - 3*m + 159 = 0. Suppose -3*u = -204 + q. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by (-376)\/(-24) + 2\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 2237256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17562449?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-238)\/(35\/(-5)). Suppose 126 = -0*n + 7*n. Let a be 2\/(-3) + (-762)\/n. Is l at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5 + 9, 4*s - 2*m = -988. Let r be 2\/(-52)*4 + s\/13. Suppose -76 = 2*o + 2*o. Is o at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -1 + 1\/6*r**3 - 1\/20*r**5 - 64*r + r**2 + 1\/12*r**4. Determine c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25321 - -0.3.\nAnswer: 25321.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - s - 48 = -3*o, 3*s = -2*o + 56. Let v = -3641 - -3714. Calculate the remainder when v is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4478229 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 8*s**2 + 8*s + 11. Let k be p(9). Suppose -k*y + 0 = -4. Solve 0 = y*r - 5*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-12)*(99\/(-22))\/9.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v - 806. Let m(c) = 7*c - 744. What is 6*f(t) - 7*m(t)?\nAnswer: -t + 372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3 or -0.5081651?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 29*b + 569 = 660, -5*b + 7 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/18, 39, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(18) - (sqrt(72)\/sqrt(4) - sqrt(18))) + sqrt(18))\/sqrt(9) - (sqrt(32) + -4)**2) + -4*((sqrt(32))**2*-1 + sqrt(242) + 0))*-2.\nAnswer: -160 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwww. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(153) - sqrt(153))*-4)\/sqrt(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:21 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/6)\/(-1*2\/(-24)). Suppose -h*m + 5*l = 3*l - 20, 0 = -4*m - 3*l + 40. Solve 4*x - m - 13 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/1752)\/(-2*3\/(-6)). Which is the closest to 1? (a) -4 (b) -0.5 (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3145 divided by 10249.\nAnswer: -85\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 3*p**2 + 2*p + 2*p**2 + 19. What is the units digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 5. Let y be x(8). Let h be 3\/4*(-51 - -55). Suppose 0 = -5*z + 2*z + h*v + 30, 0 = v + y. What is the remainder when 32 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 + 5*y - 6. Let p(u) = -8*u + 31. Let f(r) = -7*r + 30. Let s(l) = 6*f(l) - 5*p(l). Let n be s(10). Does 16 divide q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/15808 and -5\/173888.\nAnswer: 173888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/13)*s\/(s*s**(-3\/2)*s*s))\/(s\/(s\/s**(-3\/4)))**10 assuming s is positive.\nAnswer: s**(87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3112 (base 6) to base 10\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 221?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 27*g**2 - 88*g - 12. Determine h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 26*l**2 - 24*l + 85. Let v be c(-27). Solve v*m - 2*m = -2*q - 14, -9 = m + 2*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*j**3 - 328*j**3 + 168*j**3 + 68*j.\nAnswer: 2*j**3 + 68*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 10)*2238\/36 - 1. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 8:52 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + v - 77, 4*b + 4*v + 0 + 52 = 0. Let c = b + 33. Calculate the highest common factor of 36 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i + 76*i**2 + 14*i + 9*i)*(0*i**2 + 0*i**2 + i**2).\nAnswer: 76*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 6*s - 4. Suppose -3*a - 4*o - 14 + 38 = 0, 4*o + 4 = 4*a. Let u be r(a). What is the units digit of 14\/35 + u\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let c(b) = -4*b**2 + 2*b - 23. Let j be c(4). Let z = j + 85. Solve -2 = -2*d + x*l + z, 2*l = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 - (-1 - (24 + -3 - 39) - -69).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 15*n - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 1330, 2086, 2902?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 860248505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*r - 140 = -7*j, -2*r = 2*j - 36. Suppose 0 = 16*b - 29*b - 13. Let o(c) = 17*c**2 + 3*c + 1. What is the remainder when j is divided by o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let n(d) = d - 3. Let p(l) = 2*n(l) + 6*x(l). What is the least common multiple of p(-10) and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)*h\/(h\/h**8))**36 assuming h is positive.\nAnswer: h**(3816\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 116.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/96 - 3\/((-24)\/2830). Let i = n - 180. Let c = i + -47. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/17))\/k**(1\/2) assuming k is positive.\nAnswer: k**(9\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 498*c**3 + 2485*c**2 - 34*c - 35. What is n(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 13 + 8 - 3787*y - 85764*y.\nAnswer: -89551*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 63, 3, 697 in ascending order.\nAnswer: 3, 4, 63, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 28*g + 8. Calculate u(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*d + 7 - 199, 0 = -3*f - d - 183. Let u be (f\/(-75))\/((-2)\/(-25)). Solve 2*j + u + 14 = 4*c, 5*c - 32 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*k = 4 - 15, -k + 6 = p. Let b(u) = 5 + 4*u**2 - p - 3 - 3*u**2. Calculate the remainder when 38 is divided by b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -41433, 14 in increasing order.\nAnswer: -41433, -16, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-1\/2))))**6 assuming t is positive.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 2, p: 2, y: 2, s: 1, o: 1, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -51 + s + 0*s - 12*s. Let k be f(10). Let c = k - -318. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/25711 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -29. Let f be 0\/1 + 0\/(-1). Let h be 1 + (f - 3) - -6. Solve h*d + 6 = -z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 451114 = 5*q, 0*q = q + 4*t - 90227. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 974 + 998 = 14*n + 753 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 235*s - 36425. Calculate o(155).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 6*o - 1. Let h be s(5). Let f = -0.133 + 1.133. Which is the fourth biggest value? (a) h (b) 0.5 (c) -1\/5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let t(p) = p + 7. Let q be t(-5). Suppose 3*z = q*z - 2. Which is the smallest value? (a) z (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3744 divide 1252023552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/(((p\/(p\/(p*p*(p\/(p**8*p)*p)\/p*p))*p)\/p)\/p))))*p)**(-5)*(p\/(p\/p**(1\/11)))\/p*p*p\/(p\/(p**(1\/4)\/p)) assuming p is positive.\nAnswer: p**(1071\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -1\/60*w**6 + 0*w**3 + 0 - 1\/24*w**4 + 0*w**2 + 1\/20*w**5 + 3*w. Solve l(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2aa7 (base 11) to base 14\nAnswer: -164d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/3)*k)\/k*k)**(-1\/9))**(9\/10)*(k**(2\/7))**(-24)*(k\/(k**(2\/17)\/k))\/k*k*k**(-1\/2)*k*k assuming k is positive.\nAnswer: k**(-1300\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 5*q - 932, -2*q - 5*l + 379 = 0. Suppose q - 11 = 2*f. Is 2\/11 - (-4384)\/f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-12))\/(18\/763722) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42\/28)\/((-3)\/(-4)). Suppose 4*g + 0 + 2 = -u*y, 0 = -4*y - 20. Suppose -19 = -4*x - 3*c, -g*c = -4*x + 1 - 7. Which is greater: 8\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*x + 22075 + 4849, 4*x - 5*w = 26956. List the prime factors of x.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104.985341712 - -73.01465756. Let s = w - 178. What is s rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -45*t**3 - 14*t**2 - 20*t - 6. Let v(n) = 15*n**3 + 5*n**2 + 7*n + 2. Let a(f) = -6*g(f) - 17*v(f). Let q be a(-1). Is (-2443)\/q + 20\/150 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 bigger than -142\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 5*v + 2. Let u be l(-5). Suppose 0 = -4*q + 6*q + u. Is q\/(2 + (-861)\/429) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-4 - -1))\/(-1). Let x be 1\/(-1) + g\/2. Let y(o) = o. Give y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103914 is divided by 783?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106743070167 less than 2?\nAnswer: -2106743070165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 40 + 12. Let f = -9 - a. Solve 0 = -f*t + 12 + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1329 (b) -4 (c) 2\/3 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, -688, -2057, -3916, -6265, -9104?\nAnswer: -12433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 779 - 138 - 119 + 663 - 187 - x.\nAnswer: -x + 998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160825 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-115))\/((-139 - -62) + 73).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/350 and 75\/313726.\nAnswer: 7843150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 3:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*k + 14 = 0, -46*k = -41*k + 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 37. Let h be ((-8)\/j)\/(1\/75). Solve -5*y = 5*q - 6 - 29, -h = -4*y - 5*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 3 (c) 0.5 (d) -2\/11 (e) 2 (f) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19622.34 nanoseconds in milliseconds?\nAnswer: 0.01962234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(33075\/42)*-1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7580*f**3*y + 186178*f**3 - 5*f*y + 2*y with respect to y.\nAnswer: 7580*f**3 - 5*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbbbldfbwffffdf. What is prob of sequence dbd?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o**2 + 2*o + 2. What is g(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4, -c = -l - l - 11. Suppose 4 = c*y - 2*y. Suppose y*k - 88 = x + 23, -5*x + 2*k = 573. Round x to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21016956, 42033914, 63050872?\nAnswer: 84067830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 59, -15, 1, -12, 2 in decreasing order.\nAnswer: 59, 2, 1, -3, -12, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 - 12*a + 2. Let b(j) = -7*j**2 + 13*j - 1. Let c(w) = -5*b(w) - 6*k(w). Let f(g) = g**2 - 4. Let d be f(-3). Calculate c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 59124*s - 177423. Give l(3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/19, -6, 0.2, 0.5?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -24 - (0 + 51\/(-2)). Let y be 2\/(-12)*-3*6. What is the fourth biggest value in 11, -4, f, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f + 14*f = 152110. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3345?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*w + 221*w = -232*w - 1404 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*n - 4*z, 2*z - 8 = -3*n - 142. Let y = n + 45. Solve i = -2 - 3, -u + y*i = -11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6.3. Let j = 139.8 + 5.2. Let x = j + -144. Which is the nearest to 2? (a) x (b) g (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 3*p - 2. Let m be h(-4). Suppose -3*u + m*g + 2 = g, -u = -g. Is 1 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 724*n = 703*n + 63. Let f(q) = -q**2 - 3*q + 4. Calculate f(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmmghamragmmagrmu. What is prob of picking 1 u and 1 g?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000507385136 rounded to 5 decimal places?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5345330\/577 - -9264. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-213)\/(-260) + 2\/6*-54*24\/540\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 - -143. Suppose s = -q + 15 + 4, 3*s - 54 = -j*q. Solve -19*r - 12 = -s*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.554473mg?\nAnswer: 6554.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67038297 to the power of 1\/2, to the nearest integer?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/4)\/(16\/(-32)*-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 57 = 4*c, 0 = 2*v + 5*c - c - 6. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3 - 18155612*p**2 - 66100539*p.\nAnswer: -12*p - 36311224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999 greater than or equal to 10000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 14748 + 22965*o + 439*o - 14748 as p + u*o and give u.\nAnswer: 23404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1437 divide 55651048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 553 - 169. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5988 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*p + 38, 14*l = -p + 18*l + 28. Solve -p*u - 32*b = -34*b + 2, 4 = 2*u + 4*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20594, -16884, -13174?\n\"Answer: 3710*r - 24304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14708*g + 14710*g + 9*f = 35, 47 = 2*g - 3*f for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k. Let u be d(-1). Let r be (u - 4) + 4\/(-5). What is the nearest to 1 in -1, r, -4\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72725?\nAnswer: 5, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Suppose c - 24 = 4*u, c - i*u = 11 + 8. Let p(j) = j**2 - c + 8*j - 2*j**2 - 2*j + 1. Determine p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 4 + 20 - u**2 + 25 - 14 as d*u + i*u**2 + t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*r - 95, 3*r = 4*o - 3*o + 59. Suppose 0 = -5*x - 12 - 8. Let t be -2 + (-1 - -3) - x. Calculate the greatest common divisor of t and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60858 = 2*m + 3*g - 60837, 3*m = -g - 21 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - n**3 - 4*n - 31 + 30 to the form u*n + k*n**2 + b + v*n**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 2, a: 1, d: 4}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 26136.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118560566*w + 105103174 wrt w?\nAnswer: 118560566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -588\/1297 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.353132943 - -0.4.\nAnswer: 1.753132943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - 58. Suppose 3*g = b*g. Suppose g = a - 30 + 7. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2281, -9132, -20549, -36532, -57081, -82196, -111877?\n\"Answer: -2283*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*o - 64*o - 45 = 0. Put -2, o, 5, 1 in descending order.\nAnswer: 5, 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5810798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107 (base 9) to base 15.\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 24252 and -22.009.\nAnswer: 24229.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 153250102141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2. Suppose 10*m = 4*m. Let j(n) be the second derivative of 0*n**3 - n - 1\/12*n**4 + 0 + m*n**2. Determine g(j(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*(0 + (-2)\/3). Let o = 8 + h. Find the first derivative of -1 + 2*c + o*c**2 - 2*c wrt c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119266? (a) 6 (b) -1.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = u + 4*a, -2*u + 8 = 5*a. Let g(s) = 4*s - 3. Let y be g(u). Is 17 a factor of y\/2*64\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.392 times 6?\nAnswer: -2.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -953*p + 15239. What is l(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 11*d - 4*d + 4*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Let u be 1 - (-3)\/((-6)\/2). Suppose 2*v + u*v - 38 = l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 225 = -28 - 70 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 415169.9 minus -15215?\nAnswer: 430384.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1426 (b) 56 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.253 - -7.353. What is the closest to 1 in a, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213532219289\/1578 - -135318256. Let j = i - -2\/263. Calculate the common denominator of j and 2\/(-6) + (-229)\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5185 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 + 21*b**2 - 14*b + 6. Let f(l) = -3*l**3 - 10*l**2 + 7*l - 3. Let j(x) = 9*f(x) + 4*m(x). Let o be 1 + 4*(-3)\/(-3). Calculate j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-532)\/475 + 663\/65 + -9)\/((-64)\/120)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18332 + 6050*j**2 + 8258*j - 18332 + 710*j wrt j?\nAnswer: 12100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3229808\/8630555 + -2\/55681. Calculate the common denominator of d and 11\/7.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/14 - (30\/35)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -37, -5, -4 in descending order.\nAnswer: 1, -2, -4, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260 + 2847\/11. Let y(c) = c - 14. Let u be y(11). What is the common denominator of 177\/(-66) + u\/(-6) and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2404425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158 + -15328277.\nAnswer: -15328435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-96)*-4)\/(30 + (-54704)\/1824).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*u = 7*y + 34, -u - 19 = y. Let l = y - -22. List the prime factors of 2\/6*(41 - l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1) + -19 + 23. Let n = -0.13 - -6.83. Let p = 7 - n. Which is the nearest to 2\/7? (a) d (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or 5.62434?\nAnswer: 5.62434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008264845 rounded to six dps?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s - 11 + 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*361\nAnswer: 144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25150)\/(-3521) + (-15)\/7 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 136 - (2 + -2 - -3). Calculate the greatest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03233 + 43.96767. What is the nearest to 2 in -0.3, 16, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2375 and 43\/45125?\nAnswer: 45125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = 8. Let t = 15 - s. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209911057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 7*h + 4. Let i be t(6). What is the third derivative of -21*v**3 + 82 - 18*v**2 - i wrt v?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3\/7 + 1544*o**2\/7 - 192128*o\/7 + 7578112\/7 = 0. What is o?\nAnswer: 82, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1473782 and 2236.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -541b5?\nAnswer: -541b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 8*i - 38 = 0, -28*i + 20 = -12*i - 12*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a + 0*a + 5*a - 3*a - a - 3 + 3 - 2*a + (2 - 1 + 1)*(-2*a + 3*a + a) + 2*a - 2*a + 2*a + 4*a - a - a - a + 0 + 0 - 1208 + 2415 + 182*a - 1211.\nAnswer: 187*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832)*-1 - ((sqrt(208)*-2)**2 + 2))*-4.\nAnswer: -64*sqrt(13) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-461)\/1844*(-60)\/33?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/8 (b) -3\/4 (c) 1 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 1. Let t(v) = v**2 + v - 1. Let r be (8\/6)\/((-4)\/(-6)). Let o(j) = r*s(j) + t(j). Let c be o(-1). Solve w - 9 = -c*q, q + 2*w = -q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5438 - 5449.953. What is k rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 (base 10) to base 9\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 + -225. What is the third derivative of -2*m**2 + 0 + o + 40*m + 2534*m**6 - 2533*m**6 + 52*m**4 wrt m?\nAnswer: 120*m**3 + 1248*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.14 - 8. Let r = q - 4.14. Let o be (10\/8)\/((-2)\/(-8)). Put r, -0.3, o in ascending order.\nAnswer: r, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 120 = -41*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-7 - -13 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -9422?\nAnswer: -9419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**2\/2 + 29*q - 47. What is the tens digit of s(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.33462+0.3\nAnswer: -1.03462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -67.5169408.\nAnswer: -67.7169408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -589333 and 9.1472433.\nAnswer: -589323.8527567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 + -1276 + -2 + -53?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -61\/5. Let m = 121\/3 + -42. Suppose 3*a + 5 = -4. Sort m, t, a in descending order.\nAnswer: t, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-43)\/(q*q**(-5\/2)*q**(1\/16)*q) assuming q is positive.\nAnswer: q**(179\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -30. Let t be 25*1*20\/25. Let g be (t\/(-7))\/(2\/p). Solve g = 2*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99) + 1)*1 + 1.\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/54*-3*6\/(-34)*-51?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 875.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53878, -53356, -52834, -52312, -51790?\nAnswer: -51268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 321*k**2*y**5 - 9*k**2 + 8*k*y**3 - 28*k*y + y**2 + 3*y wrt y.\nAnswer: 19260*k**2*y**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 2*f - 4, 4*f + 4*d - 8 = 0. Suppose 4 = f*j - 17. Is j - (-9)\/((-9)\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 10:30 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -639657.4857 to the nearest ten.\nAnswer: -639660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100384*y + 368 - 3*y**3 + 100383*y + 0*y**3.\nAnswer: -3*y**3 - y + 368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 6, -2*y + 4*y - 394 = -2*c. Suppose o + s = -0*s + 50, 4*o - y = 2*s. Let i = -17 + o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3\/2 (b) -2 (c) 10 (d) -6.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 - m + 1. Let q(t) = -2*t + 2. Let k(l) = -l + 1. Let u(a) = -3*k(a) + q(a). Determine -2*u(v) - 2*z(v).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -47403\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173810 + 173810 - 619*b)*(-3 - 1 + 3) - 2*b + 4*b - 4*b.\nAnswer: 617*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1104)\/(-902) + 4\/656*8?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, 24, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 96424320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 15*h = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269616 = -49*p + p. What are the prime factors of p?\nAnswer: 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/6214 and 5\/156.\nAnswer: 37284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21082 - -25763. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 11*t**2 + 25*t + 7. Determine j(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-3 + -3 + (1*sqrt(1300)*-4)**2.\nAnswer: -30*sqrt(13) + 20797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3956)\/920*4\/(-6) and -44\/195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.07 - 0.07. Let m = -1592.8 + 1593. Which is the second smallest value? (a) -0.1 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 13 + 20. Let p = -2 - -2.2. Put p, x, -0.2 in descending order.\nAnswer: p, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -11*q**7\/210 + 4*q**5\/15 - 8*q**2. What is the third derivative of g(m) wrt m?\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97225.\nAnswer: 5, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 41137*s**2 - s - 82285*s**2 + 41146*s**2 + 0*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 19 = 4*i, -5*h - 59*i - 15 = -54*i. Sort h, 5, 2, -2 in descending order.\nAnswer: 5, 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836597813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 2*u**2 + 7*u + 2. Let d be t(5). Suppose -4*s = -d - 2. Is -1\/9 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.67 + -3.17. What is q rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -21. Is 23 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 36 = -5*z. What is the lowest common multiple of z and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y\/y**9*y*(y\/y**(-4\/7))\/y**(-7\/4))\/((y*y\/y**(-1\/2))**(-11\/2)*y**7*y*(y**(-1\/2)\/y)\/y) assuming y is positive.\nAnswer: y**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -417 - -470. What is the highest common divisor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 7*v - 4. Let x be z(7). Let o be (x - 14)*30\/(-4). Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 20*r + 4. Let w be o(5). Solve -w*q = 16, -2*q - 18 = -j + 2*q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + (0 - 5). Suppose -3*p - 2*p - 38 = -2*v, 20 = 5*v. Let b(x) = 2*x**2 + 11*x - 1. Let u be b(p). Sort u, -3, s.\nAnswer: s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20815.3 times -0.5\nAnswer: -10407.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -1526 + 434. List the prime factors of l.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -23*h + 14. Let m(p) = -23*p + 13. Let u(x) = 3*i(x) - 2*m(x). Let w be u(5). Let d = -491\/5 - w. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.686719 + -348.312106. Let j = l + 356. Round j to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*r**2 - 735*r**2 + 358*r**2 + 1112*r**2 + 611*r**2.\nAnswer: 1968*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 142*k + 39. Let q(m) = -285*m - 78. Let j(c) = 7*g(c) + 3*q(c). What is the first derivative of j(u) wrt u?\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b0b (base 16) in base 8?\nAnswer: -45413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - 5316?\nAnswer: -5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(495))*5)\/(sqrt(20)\/(sqrt(4) + sqrt(16))).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3510793 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6))\/((-2)\/16). Suppose b = 2*r + 2*s, -5*r + s - 4*s + 10 = 0. Let k(d) = -3*d**2 + r*d**2 - 3*d**2 + 5*d**2. Let n(a) = a. Determine k(n(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2114, 7139?\nAnswer: -2114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Suppose 239 = u*b - 5*n, -b + 2*n + 93 = 31. Suppose o - 80 = 5*f, -4*f = 5*o + b - 601. Does 35 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610236000 rounded to the nearest one million?\nAnswer: 3610000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -4\/3, -42, 1.3, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 18 = 9 + 74. Let q = -0.3 - -3.3. Let v = -3.4 + q. What is the second smallest value in r, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**3 - 5636*r**2 + 1857376*r + 11348016 = 0. Calculate r.\nAnswer: -6, 541, 874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.229 + 3.129. Sort -2\/63, -2\/5, c.\nAnswer: -2\/5, c, -2\/63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -2. Let p = -23 + 22.1. Let x = p + l. What is the second biggest value in 2, x, 1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6331027 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 - 2*i + 3. Let u be s(1). Let q be (13 + 213)*u\/((-48)\/(-22)). Let c = -307 - q. Is 3 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**10\/h)*h)**46)**(-8\/9) assuming h is positive.\nAnswer: h**(2576\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n - 6. Let h be ((-30)\/7)\/((-1)\/(-7)). Let u = 19 + h. Is y(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3335 less than -1789?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*p - 3*i, 6 = -13*p - 3*i + 42 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11195797, 44783184, 100762161, 179132728, 279894885?\nAnswer: 403048632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. Suppose 0 = -4*k - 3*w - 2, 0*k = 3*k + 5*w + 7. Calculate the remainder when o(5) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + 0*(-1)\/(-2). Let z be (k\/(-4))\/5*-6. Suppose 3 = z*w - 27. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 2.04439015\nAnswer: -6.95560985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 3. Is 12 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 62. Let o = t + 24. Let r = 14 + 0. Solve -o*l - r = -3*l - 4*y, 0 = -l + y - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -57033 bigger than -57022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:38 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65723.40414 + 65724. Round p to two dps.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Sort -0.08, 0.5, -32, 4, -4.\nAnswer: -32, -4, -0.08, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 197*v - 235*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6603 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 + c**2 + 10*c - 99. Does 27 divide j(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -13. Let q(v) = 4*v**2 + g*v**2 - 2*v**2 - 2*v**2. Let n(j) be the first derivative of -j**3\/3 + 1. Determine n(q(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33424725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**4 - 3*d**3 + 6*d**2 - 4*d - 4. Let k(u) = -14*u**4 - 8*u**3 + 18*u**2 - 12*u - 13. Let g(q) = 11*f(q) - 4*k(q). Solve g(z) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248 >= 4249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysk when three letters picked without replacement from kkkcskskseytyy?\nAnswer: 15\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5884, 3175, 12198, 21167, 30064, 38871, 47570, 56143?\nAnswer: 64572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 + 56. Let q be (-10 + n)\/((-1)\/1). What are the prime factors of q\/(-2) - (-45)\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12055 is divided by 11279.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 915996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121 - 125 - 59\/(-15))\/(2\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 276*g\/5 - 6348\/5.\nAnswer: -3*(g - 46)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17033 divided by -326.\nAnswer: -17033\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22638704.\nAnswer: 2, 11, 128629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167 + 0.21.\nAnswer: 167.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56909, 227660, 512259, 910712, 1423025, 2049204, 2789255?\n\"Answer: y**3 + 56918*y**2 - 10*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/6 and 33\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 + -348. Let d = t - 250. Which is the smallest value? (a) -13 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8721949390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let g(j) = -5*j + 15. Let r(p) = 3 - 1 - 2 + 1. Let x(q) = g(q) - 15*r(q). Determine x(d(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -7. Let v(b) = b**3 + 21*b**2 + 16. What is the remainder when v(-21) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 at most -1.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-4) - (-312 + -1 + 11). Solve 0 = 2*m - c + 300 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 7*f - 2. Let u be q(-7). Let s be (-28)\/8*u\/7. Which is bigger: 2\/21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -114*n**2 + 38*n - 19. Let i(t) = 19*t**2 - 6*t + 3. Give 3*a(g) + 19*i(g).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 = i - 10, -3*s = -12. Suppose 0 = -3*k + i, r - 2*k - 2*k = -18. Suppose r*l - 68 = -2*l. Are 16 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + k - 1. Let y be i(1). Suppose 8*c - 12 = 5*c. Suppose 3*d - 2 = c*h, 13 + 19 = 4*d + 2*h. Solve d*v - 5 = 5*v - 4*t, 0 = y*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 332, 406, 540, 752, 1060, 1482?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 4:55 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 - 8*c + 23. What is v(5)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0 - 0 - 13 - (52 + -3 + -49)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9 and -11\/1289.\nAnswer: 11601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12090649 is divided by 427.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3280)\/(-17220))\/((-2)\/(-14)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*f + 5*r + 56, 4*r = 5*f + 182. Let m = -692 + 658. Let i = f - m. Solve 4 = -4*c - i*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.5? (a) -1 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 86 = -2*x + 7*v, 11*x + 12*x - 30*x - 4*v - 148 = 0 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 29. Let n = d + 18. Suppose -n*u + 2 = -3. Sort 0, u, 5.\nAnswer: 0, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767925*j**2 + 383946*j**2 + 383978*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 108*d - 5. Let p be o(3). Suppose p = 2*t - 683. Suppose l - 455 = -n, -n + 5*l = 70 - t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**2 + 0*r + 2*r - 2*r.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -1447?\nAnswer: 1446.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)*u**1*(u**2)**(2\/55) assuming u is positive.\nAnswer: u**(578\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23775673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1065 + 1120. What is the highest common divisor of 715 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9171 divided by 779\nAnswer: 9171\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 113*x + 3. Let j(m) = -58*m - 2. Let w(t) = 5*j(t) + 3*z(t). Let r(q) = -q**2. Give w(r(i)).\nAnswer: -49*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2\/17 (b) -0.6 (c) -1.6 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.55 + -32.4. What is the second smallest value in -2, 2\/11, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 249.63342 months?\nAnswer: 0.020802785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -42 - x**2 + 69 + 2*x - 120*x**4 - 26 as v*x + o*x**3 + h*x**4 + l*x**2 + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/12*-8*16\/(-672)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**6\/14 + 12*a**5\/35 - 33*a**4\/28 + 6*a**3\/7 - 15. Determine u so that c(u) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -39 (b) -4 (c) -917 (d) -1\/3 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**3 - 3*p**2 - 6*p**3 - p**3 + (-2*p + 2*p + 2*p)*(-p**2 + 5*p**2 - 3*p**2) + 1489*p**3 + 1406*p**3 - 2560*p**3.\nAnswer: 336*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m - 26. Suppose -5*f + 0*c = 4*c + 18, -4*c + 12 = 0. Let g be i(f). Factor 12*d**2 + 12 + d**2 - 11*d**2 + g*d + 2*d**2.\nAnswer: 4*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039580262 to 7 dps.\nAnswer: 0.0003958","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 16. Let z be (1\/(-7)*-1 - (-340)\/(-28))\/(-1). Give x(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 5. Suppose -2*r - r + 117 = -5*h, l*r - 3*h - 195 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -878*j**5\/15 + 7177*j**3\/6 + 22*j**2 + 33*j. Find the first derivative of p(n) wrt n.\nAnswer: -7024*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + -51*2\/(-30). Suppose 0 = -l - o*k - 25, 1 - 2 = k. Let t(a) = -184*a + 2. Let n be t(l). What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838930?\nAnswer: 2, 5, 43, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -344\/67923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:19 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 54*b + 210. Let w be a(57). What is the greatest common divisor of w and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3199.\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1240 - 1263 - (-11 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 - 3*a**3 + 11*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 3)*3\/(-1). Suppose n*i + 20 - 52 = -4*d, -d - 4*i = -21. Suppose -4*m + q - 5 = 12, m = d*q - 28. Is 0 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-302)\/(-34) + (4 - 528\/136). Let h(x) = x**3 + x - 2. Let b be h(2). Suppose -b*g + j*g = 94. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(304)*2*5 + 5)**2 - ((-1 + sqrt(304))*-5 + 2 + sqrt(304)*-2)**2).\nAnswer: 792*sqrt(19) + 15478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/10825 and 46\/2043.\nAnswer: 22115475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 4*h + h. Let v(j) = -6*j. Let r(k) = -13*k. Let g(q) = -4*r(q) + 9*v(q). Determine g(p(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511996 = -4*c - 4*g, 2*g = 2*c - 6*c + 511998. Let i(r) = 2*r**3 + 2*r - 1. Let p be i(1). Suppose c = -m + p*m. Round m to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = -4. Suppose -4*r + 12 = -24. Suppose -r*b + 11*b = 2. Calculate the remainder when o is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/3))\/(w*w**9\/w*w))\/(((w\/w**(-2\/9))\/w)\/((w\/(w**(3\/4)*w))\/w*w)))**(-3\/4) assuming w is positive.\nAnswer: w**(347\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 7*o + 11. Let p be r(-8). Let k be p\/(-9) - (-5385)\/9. Suppose 2*a - 5*i + 2*i = k, 3*i + 1513 = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3144 is divided by 119?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 13 = -5*l, 12 = 3*z - 4*l - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = -0. Is 10694\/6 - ((-33)\/v + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*a - 58*a - 27 - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17709 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-6) - ((-310)\/(-30) - 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence foo when three letters picked without replacement from {f: 2, o: 5, l: 8}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c + 0*c + 3*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -42. Let k(q) = -35*q**3 + 3*q**2 + 4*q. Let u be k(-1). Suppose s = 134 - u. Calculate the remainder when s is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 26 + 12)*(-7*t + 2 - 5*t + 6*t)*(2*t**2 - 6*t**2 + 3*t**2 + (-11 + t + 11)*(0 - t + 0)).\nAnswer: -204*t**3 + 68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/15624 and -125\/8532.\nAnswer: 3702888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2636 - -2633. What is the second biggest value in -0.4, r, 1\/3, 5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/((-12)\/4626) + 2. Suppose 7*v + 49 = i. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2202 - -11?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33473, 65585, 97697, 129809, 161921, 194033?\nAnswer: 226145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265123, 265131, 265145, 265165, 265191, 265223, 265261?\nAnswer: 265305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 26*f - 472. Give c(-38).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = -5*d - 16, -2*d = -4*b + 12. Let t = -4 - -10. Solve -b = -5*o + t*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:07 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 11:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 2*b + 7 + 2*b.\nAnswer: b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 26*x**3\/15 + 82*x**2\/15 - 248*x\/15 - 8\/3 = 0.\nAnswer: -5, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 3. Let k be m(-2). Let t = -1\/273 + 110\/5187. Is k at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 36. Does 2 divide (-4)\/(-8)*(m - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -3 in ascending order.\nAnswer: -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 - 1b4a7?\nAnswer: -1b4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/((-4)\/8). Suppose w - x = -2, -3*x = 3*w - v*x - 14. Solve 0 = -w*o - 4 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 4*n + 77. List the prime factors of x(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-2)*8\/12. Let h = 13.9 + -14. Let i be 1\/3 + (-6)\/9. Which is the nearest to l? (a) i (b) 3\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.7, 27, -2\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 1:07 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 12. Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 5. Let s(t) = -3*t**2 - 4. Let r = 14 + -10. Let m(x) = r*s(x) - 3*p(x). What is the derivative of m(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 = 17*d - 899 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5223\/11 or 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1508276 = -3*w, q - 7137 = 5*w + 294535. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1\/282, 0.1, 362, -4\/7, 1, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 0 - 11\/5*t**2 + 11\/5*t**3 + 3*t**4 + 2\/5*t - 9\/5*t**5 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 - (-38)\/6. Suppose l*c - 8*c = -26. Find the third derivative of -2 - c*v**2 - 3 - 16*v**3 + 5 wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 11*x**2 + 4*x - 2. Give u(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -1\/3, -1\/27 in decreasing order.\nAnswer: 4, -1\/27, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -1 (b) 1 (c) -1.1 (d) -0.1064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.9 - 2.91. Let t = j + 0.01. Which is the third biggest value? (a) 2\/23 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 208c + -11?\nAnswer: 207b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-342)\/(-36)) + 11\/44 + (-149)\/28.\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g + 5*j + 1323 = 0, 1252*g - 1253*g + 18 = 2*j for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k - 4*k + 37*k + 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 + 2. Let z be x(5). Let y be (-24)\/10 + 2\/5. Let s = z + y. Solve s = 2*c - 3*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/4 + y**3\/2 + 3*y**2\/2 - 4*y. Suppose t - 28 + 13 = -2*o, -5*t - 6*o + 43 = 0. Determine p(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-110))\/(2\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -20, 0 = -5*a + b + 2*b + 35. Let p = a + -4. Let o(v) = -v**3. Let k be o(p). Solve k*q - 3*q + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8197321.\nAnswer: 11, 631, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 2*i + 10*a - 34872, 3*i + a = 52296. List the prime factors of i.\nAnswer: 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y**(-1\/9)*y*y)\/y*y)\/((y*y**(-2\/5))\/y))\/(((((y\/(y\/(y*y\/(y*y\/y**(-2\/5))*y)))\/y)\/y)\/y)\/y**2))**(2\/33) assuming y is positive.\nAnswer: y**(782\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920327371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -886*u - 36. What is f(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-9)*((-4)\/8 + 2). Put d, -24, 1 in decreasing order.\nAnswer: 1, d, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/181, -748196, -3, -0.5 in decreasing order.\nAnswer: -1\/181, -0.5, -3, -748196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*j - 322*j + 1642*j + 63898 = 214297 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23372\/7 or -0.1?\nAnswer: 23372\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -5. Let j(x) = 2*x**2 - 3*x. Let g(c) = -c. Determine o*g(i) + j(i).\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1404 and -161\/936?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m = -3. Suppose 3*q - 5*n = 403, -4*q - m*n + 0*n = -547. What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84250*a**2 - 3*a + 84250*a**2 + 3101*a**3.\nAnswer: 3101*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 9:47 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g - 5. Let o(s) = s**2 + 8*s + 4. Let a be o(-8). Calculate b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + s + 1. Let a(t) = t - 18. Let c be a(11). Let l be (4\/c)\/(4\/(-14)). Let g(p) = -2*p**l - 58 + 60 + 5*p**2 + p. Determine g(n) - j(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apapppaaaaa. What is prob of picking 2 a?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 2. Let v be i(-4). Suppose -28 = -v*f + 44. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -307 - -311. Solve -2*h - 3*c + 2 + 14 = 0, -y*c + 28 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*f*g - 8*f - 4*g**3 + 3*g**2 + 4 wrt g?\nAnswer: -19*f - 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22704 or -22700?\nAnswer: -22700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 580\/(-1400) + (-20)\/(-350)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 2*a + a + (-2*a - 2*a + 5*a)*(2 - 12 - 2) + 0*a + 3*a + 0*a + 0*a + a + a + (-3 - 1 + 5)*(3 - 3 - a) + 3*a - 5*a + 3*a + 5*a - a - 3*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.694 + 0.274. Let h = 1.42 + g. What is the nearest to 1\/5 in h, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*z + 10965 = 207*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -3) + 6 + -1. Suppose -v*z - 18 = -5*m, 3*z - 4 = 4*m - 9*m. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 11. Suppose x = m - 7. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 33. Let l(q) = -q + 17. Let a(n) = 5*l(n) - 2*y(n). Is 11 a factor of a(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709235259?\nAnswer: 3, 71, 3329743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - n**2 + 4*n + 5. Let l be b(-5). Is -24 + 23 + -1 + l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Suppose 4*v + 14 - 42 = -3*x, a*v = -5*x + 52. What is the units digit of 93\/x + 2\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (1 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/4 + 3\/4. Put y, -2, -5 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3512, 14032, 31558, 56090, 87628, 126172?\nAnswer: 171722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 + 52. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -g. Let y be (-700)\/g*(-8)\/(-10). Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01397725 rounded to four decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 + -2.199897. Round z to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (1 - (4 + -3)). Let v = -35\/11 + 36\/11. Let w = 522.9 + -523. What is the nearest to w in 0.4, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2097005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -857699 + -2\nAnswer: -857701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/380*10\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/(-1)*15. Suppose 0 = -2*m + k - 0. Determine l, given that -1\/2*l**4 - m*l**2 - 1\/2 - 2*l**3 - 2*l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.0859?\nAnswer: -0.3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k + 351 = -13*k. Let j(a) = -a + k + 0 - 13 - a. Let f(d) = 14*d**2. What is f(j(s))?\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22522? (a) -0.15 (b) -2\/3 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/25 and ((-11)\/6)\/(215\/602).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -278361\/7, -64, -0.04?\nAnswer: -278361\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*n + 106338 - 19572, 0 = n + 3*p - 43375. What are the prime factors of n?\nAnswer: 43, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 58 = 82. Calculate the remainder when 82 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 11 + 55. Let h be n\/8 + 6\/24. Suppose -111 = -5*i - h*o, 0*i = 2*i + 2*o - 46. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1468798 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 6469128.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6160 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 819 and 163422?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 + 6*g**2 + 4*g - 5. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = 4*r. What is the least common multiple of (13\/2)\/13*12\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 148, 335, 596, 931?\n\"Answer: 37*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001777155114 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 322 and 2?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 3:28 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6971, -3, -2?\nAnswer: -6971","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/7929 and -77\/6?\nAnswer: 15858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185301312?\nAnswer: 2, 3, 7, 137873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*n = -9398 - 12967. Solve -3*g - n + 14 = 5*k, k - 5*g = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 8. Let b be o(5). Let h = -26 + 25.81. Let k = -0.21 + h. Put 1, k, b in descending order.\nAnswer: 1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 17\/3 (b) 5 (c) 0.3 (d) -14 (e) -3 (f) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + 3 + (7 - 1 - (-113 - -121) - 11).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 364 + -665. Let i = w + 301.4. Which is the biggest value? (a) 0.007 (b) 3\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from awwavv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s + 20. Let a(q) = q - 4. What is 11*a(x) + 2*f(x)?\nAnswer: -x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/67 - 59\/1005. What is the third smallest value in l, 27, 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21708.49 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 12) to base 7\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 7*k + 7. Give o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -286 - -287 - (1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3451 + 977. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t*y**3 + 21*t*y - 3721*t - 62*y**3 + 3724*y**2 - 2 wrt y.\nAnswer: -30*t*y - 372*y + 7448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + (5 + 1)*2\/4. Suppose 6*w - f*w + 750 = 0. Calculate the greatest common divisor of w and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9441828 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 429604340*a\/7 + 23069986118354450\/7.\nAnswer: 2*(a - 107401085)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2797 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*k = -5*h + 28, -3*h + 4*k - 41 = -10*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-18))**(-46))**45 assuming p is positive.\nAnswer: p**37260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1304)\/(-420) + (-104)\/(-1092). Let x = -4 + 6. Which is greater: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26.68 (b) 250 (c) 2\/17 (d) -90 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + x + 2. Let j be n(-1). Let s be j\/(8\/410) - 9\/6. Suppose 3*q - 1 = s. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -72. Find the first derivative of -r*c + 18 + 12*c + 10*c wrt c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 times 0.32?\nAnswer: 4.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 bigger than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -34*n**2 + 192*n - 28. Suppose -2*s = 2*s + 176. Let d be v(s). What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/242)\/(((-3772)\/(-1804))\/(-23)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2134 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 11*o + 66. Determine u(20).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Suppose a - t = -4. Let r be a\/((-45)\/(-39) - 1). Solve 1 = -3*n + r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 58 + 86 = 0. Calculate the highest common factor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2689 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83148 and 58085976.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w. Let f be y(1). Suppose -4 + 8 = s. Let k be s\/(-2) - (-42 + 0). Calculate the greatest common factor of k and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-4 + 8)) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -80, -1\/7, 0.349?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1) + 28 + -17 + -30 - (0 + 90)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s - 14*s + 13*s**2)*(-s + 2 - 2).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/((-2)\/174). Suppose 0 = 2*p - 4*v - 66, 2*p + 2*v = p + d. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42453 and 155714.\nAnswer: 124726914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2905 and 91?\nAnswer: 37765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.017?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -190*l**3 + 2*l**2 - 17*l - 17. Let c be s(-1). What is the greatest common divisor of 36 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*x + 172*x = -896. Solve -2*b + 9*b + x = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 4*n + 9. Let j(s) = -6*s**2 + 3*s + 8. Let w(r) = -3*g(r) + 4*j(r). What is the derivative of w(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/120 + 11*c**5\/60 + 11*c**4\/24 + 8*c**3\/3 - 24*c**2. What are the prime factors of a(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(-26)\/(-104) + 24*(-2)\/(-14). What is the second smallest value in h, -0.5, -0.022, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 1, q: 1, n: 2, r: 1, b: 1}. What is prob of sequence nrbn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-19)\/s**14 assuming s is positive.\nAnswer: s**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.3 (c) -1\/5 (d) -0.18 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhhhzehhhhhhdzheztd. Give prob of picking 2 z.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369216605.\nAnswer: 3, 5, 91281107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 60*r. Let h(w) = w. Calculate 40*h(u) - 4*v(u).\nAnswer: -200*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2760 and 1335150.\nAnswer: 5340600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 54*x + 100.\nAnswer: 2*(x - 25)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/7 - 9946729*q\/7 + 29840178\/7 = 0.\nAnswer: 3, 9946726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008599 to four dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcd when three letters picked without replacement from cdfdddf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(52)\/sqrt(4))**2 + sqrt(13)).\nAnswer: 3*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -13*m**3\/6 - m**2\/2 - 7*m. Let p(x) = 15*x - 311. Calculate the remainder when p(24) is divided by h(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4260*m - 173. Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -158, -348, -606, -926, -1302, -1728?\n\"Answer: z**3 - 43*z**2 + 6*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114753, -114432, -114115, -113802, -113493, -113188?\nAnswer: -112887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212719.\nAnswer: 13, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865694331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 8*v. Suppose 6*g + 1009 = 2*y + g, v = -5*g - 15. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -168086202, -168086210, -168086230, -168086268, -168086330, -168086422, -168086550?\n\"Answer: -u**3 - u - 168086200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 117425 to the nearest one thousand.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 22 = o + 125, 0 = -5*o + 5. Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29286ug in nanograms?\nAnswer: 292.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 - 2*r + 174*r**3 + 143*r**3.\nAnswer: 378*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from gkikisissgiggfss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 11\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-45) + 160\/9. Suppose 3*a + 15 = -24. Let h = a + b. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 137 = 153. Solve -w = -3*w - p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 545059475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407*s - 1096*s + 0 + 2 + 0.\nAnswer: -689*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -132?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 62 = -k + 2*k, -j - 2*k = -31. Suppose -3*h + 113 = -j. What is the greatest common factor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, -1\/4, -0.358, 0.024, -4, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9064 times -2268?\nAnswer: -20557152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 21182.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from jyoiyyyoiioiiioiijj.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -5) + ((-63)\/7)\/(-9). Solve -7*v = -12*v - y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u + 2. Let t be g(9). Let x be ((-44)\/(-16) + -3)*-8. Suppose t = 3*l + x*l. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224022032 - -22?\nAnswer: -224022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15130243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 4715 = -33585. Let t = -903 + j. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, 5834, -402?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 64. Let q = -255 - -260. Solve 0*z = q*t + z + f, -2*t - 8 = 2*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 + 955\/225)\/((-6)\/5) and 64\/81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w**2 - 1)*(-152058*w**2 - 883*w**3 + 152058*w**2).\nAnswer: -1766*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -313\/806 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01798*4\nAnswer: -0.07192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*sqrt(84) - sqrt(84))*-6)\/sqrt(12) + -5.\nAnswer: -5 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 - 20*w**4 + 30*w**3 + 20*w**2 - 32*w = 0.\nAnswer: -1, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101100110000100 + 10?\nAnswer: -1101100110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234457.9 millilitres to litres.\nAnswer: 234.4579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 24e?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 100*g + 99. Let v be c(1). Let l = 119\/2 + -61. Is l less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/17, -130\/21, -1\/3, -5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -33*p + 4. Suppose -2*q = -5*a - 27, 51*a - 52*a = 2*q + 3. Let t(h) = -1. Calculate q*i(u) + 4*t(u).\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -9\/4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*4 - 5*1*sqrt(3))*-5)**2 + ((5 + 1 + sqrt(3) + 3)*-6)**2.\nAnswer: 648*sqrt(3) + 3699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189642169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301*s + 101 = -299*s - 3*d, 0 = 2*d + 6. Let j = 33 - 16. Calculate the remainder when s is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 20*n - 10. Let m be z(12). What is the hundreds digit of m*(3\/(-2) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3722703 - -18?\nAnswer: -3722685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*s**2 + 1563*s**3 + 486*s**2 - 784*s**3 - 783*s**3 as o*s + p*s**3 + q*s**2 + x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.49 * -1.833.\nAnswer: -2.73117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 5?\nAnswer: -212\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3504483563 - -6693947690. Let q = n + -3189464278.9999929. Let t = 152 + q. Round t to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 15*j**2. Let q(f) = -f + 3. Let z(m) = 1. Let l(r) = -2*q(r) + 6*z(r). Calculate l(h(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -1.1. Let m be (6\/(-2))\/(15*8\/(-32)). Let w = -3 - -3.5. Put m, w, j in ascending order.\nAnswer: j, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004684.7 rounded to the nearest one thousand?\nAnswer: 1005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.031 - -0.087. Let w = 0.205 - h. Round w to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*o**6 - o**2 - 40*o**6 - 9*o + 34*o**6 + 28*o**6 wrt o.\nAnswer: -10200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a year in months?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 = 57*f + 299 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3549 and 10172357.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 8550)*(-8 + 51\/6). Is q > -4268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1388 is divided by 281?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 13 - (-31 - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(21\/47) - (150\/100)\/((-18)\/60)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 26048?\nAnswer: -3125.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 2880.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77681*f**2 - 29523*f + 7?\nAnswer: 155362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26055 and 2123.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9793762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21199\/494 + -589\/13. Find the common denominator of 65\/22 and d.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -85. Let o = -53 - z. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2743 and 30095?\nAnswer: 6350045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a hour in minutes?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 + u - 4. Let h(q) = -10*q**2 + 2*q - 13. Let j(f) = 2*h(f) - 7*p(f). Determine s so that j(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 18*n**2 - 21 - 53*n**2 + 2*n**3 + 15 + 16*n. Let r be w(17). Is -24 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -95*k - 71. Let p be q(-4). Suppose p = 3*r + 5*h, -15*h = -5*r - 17*h + 496. Is r at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(313 - 307). Calculate the highest common factor of 5337 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97.09989 + 97.04. Let n = -0.059886817 - r. Round n to seven decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 1 = 2*s - 3*s, 0 = 4*w + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*g - 197, -4*r - 2971*g + 241 = -2966*g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -7*f**4\/12 - f**2 + 126*f. Let v(g) = -47*g**2. Determine b(v(k)).\nAnswer: 658*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (-16)\/(-2) - (-295)\/5. Find the second derivative of -83*m - d*m**3 - 562*m**2 + 562*m**2 wrt m.\nAnswer: -372*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.73? (a) 2 (b) 2\/9 (c) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41898 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: Work out -15540501753364 + 4.\nAnswer: -15540501753360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 + 96 + 26 + 136 - r to the form l + a*r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -313\/1799, 0.4, 3\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 19 + 2*f**2 + 63 - 673*f - 17 in the form b*f + w + y*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and 4918.\nAnswer: 4918.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjc when three letters picked without replacement from cqqjqqjcjqcc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 8. Let d = x + 5. Let a be -5 - -2 - (d + 1). Solve a = t + 2*j - 6 - 0, 0 = -4*j + 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3778258 divided by -5\nAnswer: 3778258\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/57 - -2\/19. Let s = -1.245 + 0.245. What is the nearest to -1 in 0.3, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence me when two letters picked without replacement from mzeoejk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500423974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d - 16 = 0. Let v be d*(2 + 6\/(-4)). Find the common denominator of ((-121)\/26 - -3)*v and -91\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/4))**(-1\/62)\/(i*(i**(-2\/5)*i*i)\/i*i)**(14\/5) assuming i is positive.\nAnswer: i**(-45261\/6200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 836 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 + (12 - (39 - (7 + -7))).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10783 and 3653633.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1059*x**3 + 2*x**2 - 2*x - 1. What is the hundreds digit of t(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -3*b - 228. Suppose 1570 = 22*n - b*n. List the prime factors of n.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 1\/((-3)\/(-2))*6. Solve -x + 1 = 0, 2*z = -3*x + 1 - p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 2. Suppose 4*a + 15 = u, -7*u = -2*u - 3*a - 41. Suppose q = -j - 2, 2*q - q = -4*j + u. Let r(o) = 2*o - 5. Determine j*r(f) - 8*z(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33399, -65554, -97695, -129816, -161911, -193974, -225999, -257980?\nAnswer: -289911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-54))\/((-16)\/10 + (-81)\/(-60))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-180)*3)\/((-1793)\/1304).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/78 - 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*w - 29 + 5 = 0, 2*w = 5*z - 66. Let x be (-20)\/(-6) - (-8)\/z. Suppose x = 2*m - 6*m. What is the third smallest value in 0, m, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -9. Let p = 0.018 - -22.982. Let i = p - 20. Which is smaller: z or i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - q + 35 = -4*q, -4*q - 45 = -5*f. Calculate the highest common divisor of 25 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - d**2 - d + 1042. What is the thousands digit of p(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.3 - -16. Put 3, 1\/3, p, 0.3 in descending order.\nAnswer: 3, 1\/3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/5 + h**2 - 5*h. What is the first derivative of x(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -r + 4*i, 1893*r - 176*i + 340 = 1888*r for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -o + 3. Let z(v) = v**3 + 10*v**2 - 10*v + 13. Let g be z(-11). Solve 2*l + g*l = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = l - 6, t + 4*l + 4 = -0*l. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*x, -3*x - 747 = -4*j - 2*x. Calculate the greatest common divisor of j and 592.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -191\/5. Let k = -363.2 + 365.2. Which is the closest to o? (a) -2\/7 (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -770933\/18088798 + 4\/36617. Find the common denominator of -85\/8 and x.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1998 - 1646. Which is greater: 2458\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 576*i - 1710.\nAnswer: -2*(i + 3)*(i + 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 154*h + 1088. Let j be b(-7). Let y(s) = 5*s**3 - 3*s**2 - 3*s - 3. Let f(c) = 10*c**3 - 5*c**2 - 5*c - 5. Determine j*y(z) - 6*f(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4035 + -32a?\nAnswer: -4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/4, 1\/5, 1\/11 in decreasing order.\nAnswer: 1\/5, 1\/11, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 111*o**2 + 721*o - 53. What is s(48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.2, 3, 12\/31, -5.26?\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-3460)\/180 - -19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/120 + r**3\/3 - r**2. Let q(d) be the first derivative of g(d). Let z(b) = 3*b. Give q(z(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 53. Let p be 22\/8*(s + 17). What is the second derivative of p*u + 18*u**3 + 11*u**3 - 17*u**3 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300839 is divided by 551?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 63 = -2*u. Suppose -3*d + u = 5*y - 25, 3*y - 5*d - 14 = 0. Put -5, 0, y in ascending order.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**3 + 4*i - 9*i + 14*i**3)*(-3 + 2 + 0).\nAnswer: -4*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.3. Let d(n) = 485*n**2 + 2907*n - 20. Let o be d(-6). What is the nearest to o in 0.3, 7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 63722.\nAnswer: -191166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1061 (base 11) to base 13\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Let t(p) = 4*p + 4. Calculate 10*k(o) - 4*t(o).\nAnswer: -6*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1334\/690)\/((-783)\/81).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 - 2*t**2 + 0*t**2 + (0 + 0 - 2*t)*(0*t + t + t) - 4*t**2 - 2*t**2 + 5*t**2 + 0*t**2 - 3*t**2 + t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8505\/10)\/63*8\/18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048428047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9720 and 180?\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Suppose -4 = v*j - 6*j. Let n(u) = 3*u**2 - 2*u. Let f be n(j). Solve 17 = -5*s - f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 times 15?\nAnswer: 13050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -75, 42\/13, 16, 1\/7.\nAnswer: -75, -2\/15, 1\/7, 42\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1140\/9)\/(((-24648)\/234)\/79)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -149.97. Which is greater: -12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/11 or 0?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*c**2*g - 29*c**2*z - 73*c**2 - c*z**3 + 2*c + 355155*g*z**3 + 9*g*z - 3*z**2 - 6 with respect to g.\nAnswer: -13*c**2 + 355155*z**3 + 9*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4795867*d**3 - 2*d**2 + 4 + 4795869*d**3 + 2 - 6 - 23*d + 2*d**2.\nAnswer: 2*d**3 - 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 149*w + 31. Let j(z) = 4*z**2 + 72*z - 16. Let o(a) = -9*j(a) - 5*u(a). Let n(f) = f. Determine n(o(m)).\nAnswer: -m**2 + 97*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*i + 1548 = -20*i - 12691 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 442689.3929 to the nearest 1000.\nAnswer: 443000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/80 + (-214)\/(-16). Solve -f = -5*q - m, 6*q - q + 25 = -5*f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 47, 133, 267, 455, 703, 1017, 1403?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(55)\/(-2*sqrt(11)) + (sqrt(5) - (sqrt(5) + 1 + 1))))**2.\nAnswer: 32*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2759 * -0.2\nAnswer: 551.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7612 = 2*c + 3*c, -5*c = -4*j - 7636. Suppose -5312 = -4*u + c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 335*j + 5097. Let r be i(-16). Let y(q) = q**2 - 9*q - 48. Give y(r).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 divided by 51516?\nAnswer: 34\/12879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -66, 2\/23, -2\/7, 4, -5 in descending order.\nAnswer: 4, 2\/23, -0.2, -2\/7, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-9))\/(-4) + (-63)\/135?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4115 (base 9) to base 16.\nAnswer: -bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 6*p. Let w(h) = -6*h**2 + 17*h. Let t = 8 + 2. Suppose 2*q - t = -44. Give q*l(b) + 6*w(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23133444 + -234?\nAnswer: -23134122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16109*o**2*t*w**3 + o**2*t - 27*o**2*w**2 - o*t**3*w**3 + 3*o*t**2*w**2 - 14*t**3*w**2 wrt w?\nAnswer: 96654*o**2*t - 6*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -3603?\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.263954 micrometers?\nAnswer: 8263.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, 3\/7, 38, 2 in descending order.\nAnswer: 38, 2, 3\/7, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose -h - 14 = 3*m, -69*h = -68*h + 4*m + 19. Let s = 1 - 4. Sort s, h, k in decreasing order.\nAnswer: k, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.235648g in nanograms?\nAnswer: 8235648000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23539, 188323, 635597, 1506607, 2942599, 5084819, 8074513?\n\"Answer: 23541*v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5*(-1 - -6). Suppose t*k = -k. Suppose 2*l + 69 - 1 = k. Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -674 (base 8) to base 11.\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -24*(-4)\/64*2\/(-3). Sort -11, j, 0, 3 in decreasing order.\nAnswer: 3, 0, j, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4))\/(1\/16). Suppose -3*n = -4*b - 92, -6*n + 3*n = 5*b + 115. Let m = d - b. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = 3. Let h = -2 - i. Suppose -4*x - 5*b + 11 + 33 = 0, h = b. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:21 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.189 + 0.459. Let f = s - -0.33. Let z = f + 4. Which is the third smallest value? (a) 5 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4668 and 7\/18.\nAnswer: 14004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -5*h - 30 - 3\/2*h**2. Give d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 41*d**2 + 3*d + 219. Give v(-41).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3406474 + -171985\nAnswer: 3234489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**2 - 2994*u - 747003 = 0.\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 182 - 43 = 0. Let h = l - 15. Suppose -4*z + h = -z. What is the remainder when 29 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2206 + 1\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87431.61ms to nanoseconds.\nAnswer: 87431610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*w = 21, -3*w + 87 = -5*m + w. Is 296\/40 + m\/(-25) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3041 = -12*g - 25*g + 4225 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 + 30*14\/(-42). What is the greatest common divisor of k and 627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 12 - 21 + 1265*s - 1276*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 12 = 6*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 21*y**2 - y + 26. Is 3 a factor of q(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*h + 500 - 90 = -6*h + 3*h - 37*y + 5, 33 = -3*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15816, -15040, -14264?\n\"Answer: 776*f - 16592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 25*l**4 + 0*l**3 - 9 + 20 - 8 + l as k*l + g*l**4 + h + u*l**2 + z*l**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 806*j**2 + 16073*j - 946. Determine p(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 3*r - 21, -7113*r = 4*g - 7115*r - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 4*n**3\/3 - 2*n**2 + 5. Factor b(v).\nAnswer: 4*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - -0.1. Suppose 2*q - 4*f = -6 + 18, q - 3*f - 11 = 0. Let x be ((32\/(-76))\/q)\/(-1). Which is the smallest value? (a) r (b) 2\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -787567.\nAnswer: -37\/787567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 2, 0, 71 in descending order.\nAnswer: 71, 2, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 6*p - 6. Let t be b(7). Suppose -4*j - 5*x + t + 8 = 0, 3*j = -2*x + 12. Suppose 2*m = 6*m - 24. What is the highest common factor of m and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 10140*f + 1423575 = 0.\nAnswer: -135, 3515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 17. Suppose 0*r + 8 = 4*r - a, 4*r = 5*a + 8. Let q(w) = -w**2 + 13*w - 37. Let g be q(5). Solve -g*n - r*n = c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 58, -16, 3, -653.\nAnswer: -653, -16, 3, 13, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*w - 8606 + 8633 = 0, 0 = 7*n + 5*w - 37 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-1)\/1*(-2 - 0). Suppose -4*f = 2*a - 660, c*a - 330 = a - 3*f. What are the prime factors of a?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576512057?\nAnswer: 11, 52410187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33.1 in -4, 21, 83.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 5*o. Let k be a(-4). Let f be (6\/(-8))\/(k\/272). Let u = f - -92. Calculate the remainder when u is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014811 rounded to 4 dps?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-31)\/z*z)\/z*z**(-5\/7)*(z**(1\/29))**1 assuming z is positive.\nAnswer: z**(-6634\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 851154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -22 - -13 - -22.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(700)*2.\nAnswer: -80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 4*w - 136, 0 = -4*u - 3*w + 7*w - 136. Let n = u - -37. Suppose -3*s + 186 = n*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324859375?\nAnswer: 5, 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:31 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -222*x**2. Let n(o) = 55*o**2. Calculate -6*k(p) - 22*n(p).\nAnswer: 122*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(1\/6). Let m(x) = -x**3 - 3*x**2 - 2*x. Suppose -24*f + 25*f + 2 = 0. Let k be m(f). Solve 8 = 2*i, -3*n - y*i + 26 - 5 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 0, 5*w - 2*k + 57 = -67. Let t(r) = r**3 + 10*r**2 - 5*r + 16*r**2 - 47*r**2 - 25 + 19*r**2. Let o be t(0). Are w and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4\/13, 10, 1\/3, 2\/13, 94 in increasing order.\nAnswer: 0.1, 2\/13, 4\/13, 1\/3, 10, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 1, w: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 3. What is the lowest common multiple of r and -1 + (-2)\/1 + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**10*((b**(2\/59)\/b*b)\/b*b)\/b*(b**0)**(-40) assuming b is positive.\nAnswer: b**(533\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-297765)\/(-15270)*(-1)\/12?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/3)\/(1903\/11418)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/sqrt(7))\/sqrt(3))\/sqrt(3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = -4*z + 4, -a = -5*z + 16. Solve 0 = f - 5*f + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/17? (a) -1 (b) -3\/2 (c) 4\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1016 divided by -34\nAnswer: 508\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.36*-496.5\nAnswer: 178.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 4*z - 26, z + 8 = 2*i + 2*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13358724 divided by 3?\nAnswer: -4452908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-6) - (-84)\/63. Solve c = -2*j - 4*y - 31 + 9, j + 5*y + 23 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 1. Let u be d(-2). Let k = -206 - -220. Solve 2 = -u*c + k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 124 - (-8)\/2*-1*(-27 + 26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/6 + 5*w**2 - w. Let h be b(-7). Solve 5*u = h + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-13 - (-15 - 2)) + -14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 4)*(v**2 + 3*v**2 - 3*v**2) - 3*v**2 + 5*v**2 - 3*v**2)*(-399 - 189*v + 399).\nAnswer: 567*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**3 + 20*h**2 + 11*h. Let w(o) = o**3 + 4*o**2 + 6*o + 5. Let m be w(-3). Let p(d) = -6*d**3 - 7*d**2 - 4*d. What is m*v(x) - 11*p(x)?\nAnswer: -2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(3) + sqrt(12)\/sqrt(4) + 3 - ((sqrt(864) - 2*sqrt(864))\/sqrt(8))**2 - (-4*((sqrt(75)*2 - sqrt(75)) + -2 + sqrt(75) + 3))**2.\nAnswer: -4925 - 318*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*q + 34 - 52, -4*q + 16 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1 - 45*z**2 - z + 15*z**2 + 10*z**2 + 19*z**2. Let f(a) = -8*a**2 - a - 4. Calculate f(g) - 5*i(g).\nAnswer: -3*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 7*t + 0*t - 7*t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 8320 - 45404 = 0. Suppose -9*j - 2*j = -n. What are the prime factors of j?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:17 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -119, -136, -159?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17 - 1) + -8 - 13) + (-3 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -5 (c) -0.4 (d) -86438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c. Let a be g(-3). Let v(l) = -3 - l**2 - a*l + l + 0*l + 0. Let q be 1*(-1)\/((-2)\/(-6)). What is v(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48228 is divided by 233.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 24. Suppose -6*j = -0*j + 48. Let v be r(j). Let n be ((-28)\/v + 1)*-32. What is the greatest common divisor of n and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p + 6. Let f(a) = -27*a + 2351. Let s be f(87). Let z(k) = k - 1. Give s*w(t) + 14*z(t).\nAnswer: -12*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -2.5. Let f = 2 - z. Let r be 6 - (156\/(-8))\/(-3). Which is the second biggest value? (a) r (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 42 - 43 = 0. Suppose 0 = 4*a + 2*x - 6, -2*a - x - 4*x - h = 0. Suppose -2*v - 1055 = -7*v + a*l, 0 = -2*v + 3*l + 422. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**2\/2 - 23*c - 8. Let m(w) = w**2 + 3*w - 10. Let g be m(2). Give p(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5286\/189 + -20 - (10 - (3 + -1)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78774033.\nAnswer: 3, 13, 2019847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-6))\/(l*(l\/((l*l**(5\/4)*l*l)\/l))\/l))\/((l\/((l*(l\/(l**(-29)\/l))\/l*l)\/l))\/l*l*l**12))**(1\/19) assuming l is positive.\nAnswer: l**(65\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212 at least as big as 986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 770*j**3 - 2 + 2240*j - 772*j**3 + 0 + 3957*j**2 - 3957*j**2 in the form n*j**2 + z*j**3 + o*j + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*7)\/(-6 + -2 + 6). Factor -28 + m**3 - 3*m**2 + 10 + n + 14 - m.\nAnswer: (m - 3)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2529*o = -2528*o + 2*k + 17 - 7 + 93, 7*k + 354 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 13, -3 in decreasing order.\nAnswer: 13, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*y + 5831*y + 7085*y - 2483*y + 1397*y.\nAnswer: 11625*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49059 is divided by 358.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by 9761337.\nAnswer: 7\/1084593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -1.6, 1\/10, -4 in ascending order.\nAnswer: -4, -1.6, -1\/9, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from aarrrarrrarrar.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1840721594464027\/3466505254906720 - 2\/53707629755. Let f = x + -1\/4034. Calculate the common denominator of f and 5\/14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4197778 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 21*o - 168. Let r(v) = 7*v - 58. Give -8*r(g) + 3*s(g).\nAnswer: 7*g - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*z**4 - 1808*z**3 + 47040*z**2 wrt z?\nAnswer: 528*z - 10848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4140 and 309210390.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8153 (base 10) to base 14.\nAnswer: -2d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*i - 3. Let r be (1 + -2)\/(i\/(-14)). Let x = 19 + r. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337935 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29.7 * 6366\nAnswer: 189070.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 16) in base 2?\nAnswer: 100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + -84. List the prime factors of 1428\/b - (-3)\/(-21).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.4 + 22.5. Which is the closest to f? (a) -4 (b) 6\/7 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95698166 + -47.31\nAnswer: 95698118.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -21, 5, 72 in ascending order.\nAnswer: -21, 5, 8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 11. Let y(v) = 3*v + 6. Let x = -8 - -19. Let m(w) = x*y(w) - 6*z(w). Let g(f) be the first derivative of 2*f**3\/3 - 15. What is m(g(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 7*m + 9. Let l be 69\/12 + (-2)\/(-8). Let h(v) = -v**3 + 7*v**2 - 5*v. Let u be h(l). Let s be o(u). Solve 6 = -s*d + 6*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564398 is divided by 521464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 10. Let k(t) = -t. Let w(z) = -3*k(z) - n(z). Let p be w(12). Let r(g) = -g**2 + 3*g - 3. Give r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -17. Suppose 5*k = 5*p - 10, -p - 3*k + k + 5 = 0. What is the second derivative of 2*n**5 - p*n - j*n - n**5 + 4*n wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*r**2 - n**3*r + 26*r**2 - 132 wrt r?\nAnswer: 2*n**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c - 22. What is a(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 63*b**2 + 32*b + 17. Let n be p(-32). Suppose 7*y + n = -11. Let h(o) = 4*o + 6. Give h(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + l - 15, -4*i + 4*l = i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28935 (base 14) to base 13\nAnswer: 36a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b, 3*f = -b + 54. Let l(p) = -5*p**2 + 91*p - 6. Is l(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20801965 and 6970?\nAnswer: 41603930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 472 (c) -8\/18859\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152370 and 253950?\nAnswer: 761850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2937 and 402842836.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12948375.\nAnswer: 3, 5, 11, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 5*x - 9230 = 12*o, -o + 2*x = 4613. Let n = o + -2535. What is n rounded to the nearest one hundred?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from kuzzkjkkukwukwuz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.26 - 0.06. Let f = -3.8 - v. Sort 0.1, f, -2\/3 in descending order.\nAnswer: 0.1, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2078, 2061, 2020, 1943, 1818, 1633, 1376, 1035?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 o when three letters picked without replacement from {q: 10, c: 1, p: 3, i: 1, o: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.2, 22, 5, -7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 - 37*d**4 - 79*d**3 + 439*d**2 + 705*d - 450 = 0.\nAnswer: -15, -5, -2, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 360209558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16479 + 16298. What is the closest to 1\/2 in -1\/4, c, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - -3.01. Let h = 12 - 17. Let v = -4 - h. Put a, v, -2 in descending order.\nAnswer: a, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Suppose 36*w = 25*w - 66. Let m be -7 + (-6)\/w + 40\/6. What is the third smallest value in l, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -15 - (117 - 145).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5715170 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, -3, 2, -2, 440 in increasing order.\nAnswer: -3, -2, 2, 7, 9, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*k*r - 638127*i**3*k + 51*i**3 + 412*i**2*r - 5 wrt k.\nAnswer: 2*i**3*r - 638127*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/127 - 218\/1143. Let u = 2 - 2.4. What is the closest to -1 in -2\/17, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 39 = -2*n, -502*z + 506*z = 4*n - 20 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 409 + 13. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -3*r + 3*n, r + 3*n - 21 = -r. Let y be (-4)\/18 + 76\/r. Suppose -y*m = -5*m + 6. Calculate the smallest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let g(s) = s**3 + 8*s**2 + 14*s - 7. Let x be g(-5). Is x\/(-4)*148\/k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4865573 at least as big as -4865572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/10)\/a*a)\/(a**(3\/8)*a))**(-7\/10) assuming a is positive.\nAnswer: a**(413\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 602*y - 149 + 1955 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 2. Let q = h - 13. What are the prime factors of (-90)\/(-21) + 6\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3833 - 26829\/7. Determine f, given that -2\/7*f + 0 + 2\/7*f**2 + 2\/7*f**3 - p*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 74. Factor 18*r + 7*r + 15 + w*r + 3*r**2 - 13*r.\nAnswer: 3*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - v - 3*v = 465 - 522, -n + 76 = 3*n + 10*v for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4403*q - 12. Let t(o) = 74841*o + 208. What is 52*l(i) + 3*t(i)?\nAnswer: -4433*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4521*n - 4517*n + 400, 0 = -282*n - 2*j - 29320 for n.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 17*k + 34*k - 21*k + 3.\nAnswer: -4*k + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-9)\/27). Let q be (1 + 0\/6)*(-10)\/o. Solve q*f - 3*d = -7, 2*d = 4*f - 0*d + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 16, -5, -0.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.031048, 1\/3, -0.4.\nAnswer: -0.4, -0.031048, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 4) to base 6\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -1.3. Let j be (-1)\/(-2) + 21\/(-18). Which is the nearest to 2? (a) j (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -35*k - 10. Let i be o(-3). Suppose 0*n = 4*f + 4*n - 180, -2*f + i = n. What is the remainder when (-3 - 1)\/((-20)\/f) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*v**3 + 864*v**2 - 918*v - 756.\nAnswer: -2*(v - 3)**2*(79*v + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42554450 (base 6) to base 9.\nAnswer: 2328573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 7*v + 9. Determine f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 q when four letters picked without replacement from qdddqqddqqqqqqqdeq.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.1. Let c = 39\/496 - 1683\/2480. What is the third smallest value in p, -0.5, 2\/11, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 1:16 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210521 is divided by 3453?\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/12*(-18)\/27)\/(2\/(-72))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*2\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232243 by -491.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -50, 96657?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.7 + -37. Let t = 25.7 - o. Let x = t + -32.7. What is the third smallest value in 0.2, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 322 - 300?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52424.98 rounded to the nearest ten?\nAnswer: 52420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3147 - 1857. What is u rounded to the nearest 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 311, 320, 341, 380, 443, 536?\n\"Answer: x**3 + 2*x + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 5*s - 5. Let o be 13 + (-12)\/(-4) + 2. Let c = o + -24. Give k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:52 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edeedee. What is prob of sequence de?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x + 3*n, x + 3*n + 1478 = 1485. Let k(t) = 3*t**2 + 4. Let f(j) = -7*j**2 - 7. Calculate x*f(y) - 5*k(y).\nAnswer: -y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -3. Find the second derivative of -p**4 + 2*p - 4*p + j*p**4 + 0*p wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 - -532\/5. Let o = -0.3 - 0.1. What is the closest to 1 in -5, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 24*h + 7. Let s be f(-20). Let y = 448 - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 6156*y.\nAnswer: y*(y + 6156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167810*o - 121564.\nAnswer: -167810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-58080)\/(-3195))\/(-44)*(0 - 3). Which is bigger: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 31*f**2 - 196*f + 1066. Calculate l(25).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5, 2 in decreasing order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 0*b + 6 - 11\/2*b**4 + 17\/3*b**3 + 0*b**2. What is the third derivative of t(c) wrt c?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 111. What is the third derivative of -f*b**2 - 17*b - 2*b**3 + 6*b**4 - 24*b + 54*b wrt b?\nAnswer: 144*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 16615500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 10 = -5*z, -3*j + 7 + 2 = 2*z. Solve -2*w = -l + 3, -j = -2*l + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*g + 58 = 120 + 496 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-85)\/(-10) + (-1)\/(-2). Let i be 7\/(-5) + 27\/u. Factor -i*t**2 + 8\/5*t - 2\/5.\nAnswer: -2*(2*t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93408.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/2 + 105*q**4\/2 - 294*q**3 - 2024*q**2 + 7440*q + 19800 = 0?\nAnswer: -110, -5, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 200*g + 2952. What is the remainder when n(-14) is divided by (-645)\/(-21) - (-4)\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/17, -5, -4\/7, 1 in ascending order.\nAnswer: -5, -2, -4\/7, -2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 + -0.21. What is the third biggest value in -0.04, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1988*z**2 + 2809*z?\nAnswer: 3976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 = 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -96. Let z(b) = b - 16. Let k be z(19). Let a(v) = 16*v - 10. Let u be a(k). Calculate the highest common divisor of x and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/15 + b**3\/3 - b**2 - b. Let k(o) be the first derivative of d(o). What is the first derivative of k(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 9*b + 11 = 0. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/94 in -4, -0.2, 15\/11, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = -0*o. Calculate the greatest common divisor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -5, 0.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3253 * 2.45.\nAnswer: -7969.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3131 + 3131 + i**2. Let n(s) = -358*s**2. Determine n(m(u)).\nAnswer: -358*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -45*t + 38*t. Let f be (3\/(-7) - (-31)\/t) + -1. Let j(k) = -k**2 - 5*k + 8. Let r be j(-6). Solve -f*c + 0*c = 3, 4*l = -r*c + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3 (c) 1\/4 (d) 0.083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w**2 - 29*w - 3. Let y(r) = 4*r**2 + 30*r + 4. Give -6*u(k) - 5*y(k).\nAnswer: -2*k**2 + 24*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 72168?\nAnswer: 505176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2181 divided by -727.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + 7 + 2*p)*(-p - 7 + 7).\nAnswer: -p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -48359.\nAnswer: -3\/48359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + (-307 - -296)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 128 = -138. Suppose x*v = 13708 + 777. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 1, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 d, and 1 i when three letters picked without replacement from xvvvvvqqvdxiivxddd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 182\/93 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5579, 22586, 51021, 90890, 142199, 204954, 279161?\n\"Answer: p**3 + 5708*p**2 - 124*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 508 + 110?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + 269?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 21*g**2 + g - 8. What is the least common multiple of 6 and k(2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24320 (base 8) to base 11\nAnswer: -7939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 60634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 37*p**4 - 4*p**3 + 41*p**2 + 2. Let x = -70 + 66. Let o(h) = h**3 - h**2. Let i(b) = x*o(b) - s(b). What is the third derivative of i(z) wrt z?\nAnswer: -888*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -14, 92, 6, -2 in ascending order.\nAnswer: -14, -2, 6, 76, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 + 104*t**3 + 191*t**3.\nAnswer: 268*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/(-20))\/(-2*(-2)\/(-10)). Suppose -2*r - 110 = 4*c, 4*r - 3*r = 4*c + 107. Put d, c, 1, -1 in increasing order.\nAnswer: c, -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.22 - -0.22. Let m = 1.614 - 2. Let f = 0.286 + m. What is the smallest value in 2\/21, f, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0512 in 6, -0.4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4494*b**5 - b**4 + 2*b - 811?\nAnswer: -89880*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8452, 8475, 8498, 8521?\nAnswer: 8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 41*s**2 + 1277*s + 4381. Determine v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - -2.86. Let f be 0\/2 + 16\/2. Suppose 0 = 5*g - g + f. Sort g, p, 5 in increasing order.\nAnswer: g, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35296357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose -4*j = -3*h + 11, i*h - 1 = -3*j + 5*j. Suppose g = 3 - 7. Sort g, 5, h in decreasing order.\nAnswer: 5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 3*h**2)*(3*h + 0*h - 5*h) - 16*h**2 + 16*h**2 - 4*h**3 + 0*h**3 + 0*h**3 - 2*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6269 - -6323. Sort x, 5, -18 in ascending order.\nAnswer: -18, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 4*j + 431, 0 = 2*j + 6. Let v = l + -257. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2 = -27. Let m = 0.53 + 3.42. Let f = -0.05 - m. Which is the nearest to -0.1? (a) -2\/13 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((1 - -9 - 5) + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 30952 + 114357 = i, 0 = -5*w + 2*i + 104279. What are the prime factors of w?\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -5*t**6\/6 + 4*t**5 - 80*t**3\/3 + 40*t**2 + 500. Solve a(v) = 0 for v.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = 8*r - 2*o - 59, 0 = 3*r + 4*o + 88 + 71 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139925 by 27985.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15 = 37. Suppose -3*y + h = -y - 3*r, -17 = -y + 5*r. Let z be 220\/76 - (150\/225 - 88\/114). Solve y*c - z = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c - 3. Let a be h(-3). Suppose 39*r - 180 = a*r. Calculate the greatest common factor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**6\/1140 + 2*b**5\/285 - b**4\/57 - 10*b**2 + 18*b. Let u(l) be the first derivative of o(l). What is i in u(i) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*77895.\nAnswer: 31158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 16*o**2 + 25*o - 155. Calculate k(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 s, and 1 x when three letters picked without replacement from {s: 1, z: 2, e: 6, x: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 + 129. Suppose -92 = -8*h + 4*h. What is the remainder when (6 + -2)\/((-4)\/z) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76338508 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-39) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(125\/(-20))*5. Suppose v = 5*w - 4*v - 25, 0 = -5*w - k*v + 52. List the prime factors of 39 + (w - 2 - 4).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = 5*x, -7*x = 4*h - 6*x + 1. Determine a, given that h - 2\/5*a**3 - 4\/15*a**2 + 2\/15*a**5 + 0*a**4 + 0*a = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h. Suppose 5 = -2*f + 3*n, -3*n + h*n + 9 = 0. Let -o - 1\/2 + 0*o**f + 1\/2*o**4 + o**3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**1\/u)**1\/(u**(-1\/2))**(-9\/10) assuming u is positive.\nAnswer: u**(11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxtg. Give prob of sequence gxg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s + 2. Let a(h) = -2*h**2 + h - 3. Suppose -4*q = -950 + 958. Determine q*a(t) - 5*u(t).\nAnswer: -t**2 + 3*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-2)\/(-6)*3. Let u be f + 6\/(-9)*-3. Suppose 2*y = -v + 37, 3*v = -2*y + u + 40. What is the highest common factor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*s + 206, -5*d + 218 = 5*s - 3*d. Let x = -32 - -46. Calculate the highest common divisor of s and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 129020 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274*d + 60 = 244*d. Let h be 18\/(-21) - (-2 - -1). Let s = -1516\/11 - -138. Which is the closest to 6? (a) h (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, w: 2, h: 2}. What is prob of sequence jwhj?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -20*o**2 + 0 + 0*o - 1\/3*o**3 + 4\/5*o**6 - 1\/60*o**5 + 26\/3*o**4. Find the second derivative of w(f) wrt f.\nAnswer: 576*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v + 12. Suppose s - 24 = -5*s. Let k be c(s). Put 0, 11, -1, k in decreasing order.\nAnswer: 11, k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/733894 and 65\/114.\nAnswer: 2201682","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 659*c**2 - 46828*c - 725. Determine p(-81).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 102 - 11070\/270.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -11. Let q = -5 - -3. Let a = r + q. Let k(y) = y**3 - 6*y**2 + 6*y + 1. What is k(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -45, -5248 in descending order.\nAnswer: -5, -45, -5248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 17 - 43 - -1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5853.901l?\nAnswer: 5853901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11351 - -11351.6. What is the nearest to -2 in -0.1, c, -6\/289?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - 10\/3. Suppose 0*q = -4*q + 44. What is the common denominator of c\/5*40\/q and 29\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - u = 4*u - 70, -3*j + 44 = 4*u. What is the smallest common multiple of j and 26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 11*m + 26*m + 22, 0 = 5*m - w + 4 + 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 263701.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -47280240 less than 4834?\nAnswer: 47285074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h. Let k(w) = 1235*w. Give l(k(o)).\nAnswer: -20995*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b8 + -2273?\nAnswer: -1a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -24 + 9 + -3 - (0 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3987014 to the power of 1\/2, to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-13)\/(-3). What is the tens digit of (18\/8)\/(o\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - 2*i**3 - 4*i**2 + 2*i. Suppose 65*d - 66*d - 13 = 3*g, -5*d = -3*g + 47. Give m(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 3. Let g = -7 + 4. Let t be k(g). Let h = 0.2 + 0. Which is the closest to t? (a) h (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.015, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 35215648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1755*i**3 - 618*i wrt i?\nAnswer: 10530*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:03 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*4*sqrt(117)*-1*-4)\/(1*2*sqrt(1296)*-3))**2.\nAnswer: 832\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.805 + 0.125. Let x = g + 4.680458. Round x to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 70 + 0*l**4 + 37*l**2 + 0*l**3 + 58\/5*l**5 + 0*l. Find the second derivative of w(s) wrt s.\nAnswer: 696*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 10*c - 9. Let y be q(-9). Let t be (y\/27)\/(((-16)\/(-18))\/(-4)). Is 36 - (-1)\/(-3)*t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 5*g**2 + 12. Suppose -39*m - 132 = -6*m. Let p be y(m). Sort -3, p, 7, 25 in descending order.\nAnswer: 25, 7, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 1. Let r(t) = 2*t**2 + 2*t - 4. Let g be r(-3). Let k be g\/3 + -1 + -1. What is the biggest value in 1\/6, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 4, 881, 3\/46, -10\/7, -1\/3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*b*f**5 + 2*b*f*k**2 + 6*b*f*k - 222*f**5*k**2 - f*k - 103*f - 2*k wrt f.\nAnswer: -820*b*f**3 - 4440*f**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (-3)\/(-1))*12\/24. Sort -12, -4, -3, r in decreasing order.\nAnswer: -3, -4, r, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t\/(t\/(t*t*t*t\/(t*t*t*t**(5\/6)*t*t)*t)))\/(t**2\/t**(-4)))\/((t**(-1))**50*(t\/((t*t**(2\/3))\/t)*t)**(-4)) assuming t is positive.\nAnswer: t**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -79*c**2. Let b(d) be the first derivative of 4*d**3\/3 - 354. What is p(b(i))?\nAnswer: -1264*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5420 - 1916. What is the least common multiple of r and 16?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2\/7 - 2064*j\/7 - 532512\/7 = 0. Calculate j.\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 7, -5, -37\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 23 + 15 = 0. Let c = 1 + b. Let t be -1 - (-112)\/204 - (-1)\/3. What is the fourth biggest value in t, 0.06, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14170*x - 8804*x - 3 + 3 + 3791*x as f + w*x and give w.\nAnswer: -19183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(3) - sqrt(11) - (sqrt(33)\/sqrt(108))**2) + -5 + 1 + sqrt(11) + (1 + sqrt(11) - sqrt(11))**2 + 0.\nAnswer: -119\/36 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1001111 (base 2) to base 7\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 - 3*o**2 + 8*o + 6. Let p(t) = -5*t**3 - 2*t**2 + 7*t + 4. Determine -3*p(c) + 2*z(c).\nAnswer: c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1269 and 236880?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -1296.92, 0.247, 3 in descending order.\nAnswer: 5, 3, 0.247, -1\/2, -1296.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6 - 1.6. Which is the nearest to 0? (a) z (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83388456*z**5 - 351*z - 16869 wrt z.\nAnswer: 1667769120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + -4 + 5). Suppose -y + 91 - 1355 = r. What is the tens digit of 7\/(245\/(-10)) + y\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (0 - (-2)\/(-1)). Let x = 5 - 9\/2. Which is the second biggest value? (a) s (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2316*z**2. Let t(k) = -592552*k + 4*k**2 + 592552*k. Determine q(t(j)).\nAnswer: 37056*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 72*y + 576. Calculate f(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/8)\/(2\/(-480)). Let l be (1 + 1)\/((-30)\/k). Suppose -j - 6 = -u, 6 = 2*u - 4*j - l. Solve -2*n + u*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 9*v - 1. Let g(b) = -40*b**2 + 270*b - 30. Let o(a) = g(a) - 30*j(a). Let q(m) = 18*m. Give o(q(u)).\nAnswer: -3240*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + x**4 - 5*x**4 + (-1689 - 183*x + 1689)*(x**3 - 3*x**3 - 5*x**3).\nAnswer: 1279*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2178\/(-8))\/(287\/(-17220)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 7) + (7 - -2). Solve g*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:57 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4142 - 3288. Calculate the highest common divisor of 610 and x.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7 - 6*n + 8 - 19 + 7. Let h(m) = -5*m + 2. What is 4*h(i) - 3*o(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**7))\/s**(-2\/35))**9*(s**(-11)\/s*s*((s*s**(1\/4))\/s)\/s)**(-1\/30) assuming s is positive.\nAnswer: s**(-52159\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.43 - 0.03. Let p = -1.6 + n. What is the biggest value in -0.3, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -979?\nAnswer: -973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - -13. Let y = 20 - x. Which is the second smallest value? (a) -2\/7 (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. What is the third derivative of 7*r**2 - 7*r**4 + 4*r**q - 3*r**2 - 2*r**4 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254.9966 + 255. Round y to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -17*n + 0 + 11\/42*n**7 - n**4 + 0*n**5 + 0*n**3 + 0*n**2 + 0*n**6. What is the third derivative of v(r) wrt r?\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 539.2169m?\nAnswer: 0.5392169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {n: 14, d: 1, e: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16749 - -17073. Calculate the remainder when h is divided by 172.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-110)\/(-10))\/33)\/((-15)\/(-9)). What is the smallest value in -27\/4, 4, r, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c - 7 + 4 - 3. Let b be g(7). List the prime factors of 2 - 9\/(b\/(-112)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 191*v - 7687. Calculate p(42).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: d0be6 (base 15) to base 13\nAnswer: 1a1a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/60 + x**4\/24 + x**3\/6 + 3*x**2\/2 + x. Let l(v) be the first derivative of c(v). What is the units digit of l(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.1 (c) 0.2 (d) 4358\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - r + r + (4 + r**2 - 4)*(-25 + 46 - 13) + 0*r**2 - 2 + 5*r**2 - 3*r**2 to u*r**2 + k*r + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -725 + 827. Suppose 17*u - 102 = j. What is the remainder when 232\/5 + 4\/(-10) is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 8:04 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((0 - 1 + 5)*(3 - 3 - 2*o) + o + 3*o - 2*o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114\/61 - 5127\/488. Calculate the common denominator of c and 21\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 454 (c) 4 (d) 0.1 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*j = 376*j + 99 + 1161 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*q + 0 - 8\/15*q**3 - 2\/5*q**2.\nAnswer: -2*q*(q + 1)*(4*q - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110120100201210 (base 3) to base 10\nAnswer: 6679632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -60*a - 640. Give u(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1 - x + 2*x - 3 + x**3. Let p(t) = 2*t**2 - 3*t. Let g be p(2). Let z be (-3)\/(-6)*0\/g. What is r(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11434 + -560291\/49. Find the common denominator of l and -41\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 + 4*c**2 - c + 4. Let p(r) = 2*r**3 + 3*r**2 - r + 3. Let u(l) = -2*l**3 + 65*l**2 - 93*l + 4. Let f be u(31). Calculate f*p(z) - 3*i(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**2 - 5*y - 6. Let f be (-16)\/6 + 4\/(-12). Let z(a) be the first derivative of 4*a**3\/3 + 2*a**2 + 5*a - 2. Determine f*h(d) - 4*z(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2702 and -115\/45934.\nAnswer: 45934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4)\/(h\/(h*h**(1\/5)*h)))\/(h*h*h**8*h*h*h\/(h*h**8*h)*h*h)*(h**(1\/2))**(-23\/6)*(h**(1\/4))**50 assuming h is positive.\nAnswer: h**(83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {b: 2, n: 6, o: 2, a: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7)*-4) - (sqrt(343) - (sqrt(343) + 2)))**2 - (sqrt(70) + (sqrt(70) - 1*sqrt(70))*-3)\/sqrt(10)*-5.\nAnswer: 71\/16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15473 - 18?\nAnswer: -15490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 635 + -83819\/132. Let r = -125\/924 - g. Let d be (9\/12)\/(15\/2). What is the smallest value in d, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.92173 and -660958259.\nAnswer: -660958271.92173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 - -156. Let v = 128 - m. Let j = v - 80.4. Which is the biggest value? (a) j (b) -8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1513\/6 + 2\/60*-5. Let w = 89 + l. 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 the lowest common multiple of 21 and 3\/((-9)\/3) + 6500\/20?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661790756 rounded to the nearest one million?\nAnswer: -662000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294893945 divided by 5.\nAnswer: 58978789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74 - -178. Let i = 4 + n. Suppose 6*g - 2*g = i. Solve -4*x - f = -7 + g, 0 = 4*x + 5*f + 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 42 = -13*a + 11*a, f - 8*a = -22. What is the least common multiple of 4178 and f?\nAnswer: 20890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 281, 1017, 2235, 3935, 6117?\n\"Answer: 241*x**2 + 13*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*z + 10*z - 8*z)*(8 + 10 + 102 - 272 - 450) in the form r*z + v and give r.\nAnswer: -6020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750412 is divided by 3696?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 + 101*j + 26 - 9 - 10.\nAnswer: 101*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 8) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 73*r + 908 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 314*k. Let s(b) = -b. Calculate l(s(c)).\nAnswer: -314*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {j: 1, g: 2, h: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s*s**(-3))*s)\/s*s)\/(s**(-3)\/s)*s**(2\/9)\/s**(-2\/9) assuming s is positive.\nAnswer: s**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. Let s(h) = 6 - p*h**2 + 0*h - h**3 - 2*h**2 + 4*h. What are the prime factors of s(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44045928 to the power of 1\/2, to the nearest integer?\nAnswer: 6637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61.2 + 46. Let c = n - -15. Let v = -7.9 - -3.9. What is the nearest to c in 1, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176259 + 176259 + 20*k - 15*k**3 - 20*k.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -61955, -123909, -185861, -247811?\n\"Answer: s**2 - 61957*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:08 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.77 (b) 4 (c) -0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = -3*z - 4*u, -19 = -5*z - 3*u. Is 5 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((6*((sqrt(720) + sqrt(720) + (sqrt(720)*2 - sqrt(720)) + sqrt(720))\/sqrt(12) - sqrt(60)))\/(-3*sqrt(48)*6))**2)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*f + 71 = -p, -3*p = 3*f - 36. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.81 + 0.19. Let r = q - 17.99. Let w = -0.01000013 + r. What is w rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453952382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -139249 (base 12) in base 4?\nAnswer: -1033310121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j + 7. Let a be l(-3). Suppose g + 3*w + a = 2*g, 3*g + 4*w = 0. Let y = 0 - -0.2. What is the closest to 2\/3 in g, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + o)*(-14 + 4 + 6)*(0*o - 2*o + o)*(-1 + 1 + o**2).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**5\/20 - d**4\/24 + 2*d**2 + 4. Let l(g) be the second derivative of p(g). What is the second derivative of l(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -546, -2150, -4810, -8514, -13250, -19006, -25770, -33530?\n\"Answer: 2*b**3 - 540*b**2 + 2*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1 + f + 9 - 10. Let v(s) = 3*s**2 + 2*s**2 - 7*s**2 + 4*s**2. Give i(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/2*i**4 + 0*i - 5\/2*i**2 - 49 - i**3. Let q(k) = 5*k**3 + 8*k**2 + 14*k. Give 3*q(z) + 8*r(z).\nAnswer: -z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -20*z. Let t = 1855 - 1859. Which is the smallest value? (a) 38 (b) t (c) z (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.44 - -5.64. Which is the third biggest value? (a) -280 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 7*w. Let m be -32*(w + 6\/3). Let s = 14 - m. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/4)\/(r*r**(-2)*r)*r\/((r*r**(-7))\/r*r)*r**(-1) assuming r is positive.\nAnswer: r**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**5 + 5565*v**4 - 1345200*v**3 - 116613500*v**2 = 0.\nAnswer: -67, 0, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/((-1461)\/(-138) - (90\/(-23) + 4)). Sort -3, -0.2, v, 10, 2 in increasing order.\nAnswer: -3, -0.2, v, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*v - 22. Let u = v - 1. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 639.3 - 639. Sort 2, y, -3, -94, -2\/21 in decreasing order.\nAnswer: 2, y, -2\/21, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163 = 18*i - 1325. Calculate the greatest common factor of 64 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a + 86*a = 32 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7616132.\nAnswer: 2, 797, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9889 = -533*k + 10898 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -58, 46, 238, 548, 1006, 1642, 2486, 3568?\n\"Answer: 5*w**3 + 14*w**2 + 27*w - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (-21 - -35)) + -15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z**3 + 1\/20*z**5 + 17\/210*z**7 + 0 + 8*z**2 + 0*z**6 + 0*z + 0*z**4. Find the third derivative of l(y) wrt y.\nAnswer: 408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**8\/448 - x**7\/70 + 3*x**6\/80 - x**5\/20 + x**4\/32 - 2*x**2 + x. Let d(r) be the first derivative of c(r). Factor d(s).\nAnswer: 3*s*(s - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2423*t - 3044*t - 18009 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 8. Let x be 5 + (-27 - -13 - -11). Sort 5\/4, x, -0.1, d.\nAnswer: d, -0.1, 5\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -7, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67 - -1.127.\nAnswer: 0.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = -p + 5*j, 0 = 4*p + 5*j - 6. Let x(n) = n + 20. Let c be x(-13). Is p less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 + 19*a + 34. What is j(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Let l(z) = 4*z**2 + 1. Let y be l(s). Let f = 7 - y. Let b(j) = -4*j + 3. Give b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/105761 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b41233 + 5?\nAnswer: -b4122a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/4 - 6*k + 63\/4 = 0.\nAnswer: 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(500) + sqrt(500)*1 + sqrt(500))*-5 - (4 + (sqrt(500)*-3 + 4 - sqrt(500))))**2.\nAnswer: 1760*sqrt(5) + 60564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5028 divided by 2514.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -2*r - 8, -3*w - r = -6*r - 16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 603*m**2 + 5*m + 5. What is the tens digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 9*v - 17*v**2 - v**3 - v**2 - 9. List the prime factors of z(-19).\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -476 - -469. What is the hundreds digit of 0 - (y + 0) - -312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (3 + sqrt(11)*-2))**2*1.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19714*k + 111740 wrt k.\nAnswer: 19714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 25*f - 30*f + 3*n - 64, -n - 109 = 14*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 + 3*k**2 + k - 2. Let q be o(1). Suppose 12*v = -q*n + 7*v + 170, -n = -3*v - 14. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28060000 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74862545*0.4.\nAnswer: 29945018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.8+0.8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 241119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 12, 2*n - 15 = 5*b. Let z be (-2 + -1)\/((1 + 0)*b). Solve z - 5 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -476 (c) -296 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7280 divided by -3640.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose 3*p = -7 + x. Let j be (-1)\/2 - (-1)\/10. Is p at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*o - 1 = 0, 5*v - o - 6 = 5. Suppose -42 = -5*r + 2*q, 3*q + 2 = v*r - 16. Which is bigger: 8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 5*j**2 + j + 16. Let w be v(-4). What is the remainder when 79 is divided by 1288\/70 + w\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7301.7 from -0.84.\nAnswer: 7300.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 492 + -99. Let n = -392.99803 + j. Round n to 4 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*w + 0*w**3 + 0*w**3 + 72*w - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**4\/12 - 2*k**3 + 13*k**2\/2 + 42*k. Factor g(f).\nAnswer: -(f - 1)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164.65791 - 164.691210474. Let t = g - -0.0333. Round t to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 98, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 130*n - 3648. What is the remainder when p(-53) is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and ((-1)\/1)\/(18\/(-267)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, o: 1, p: 1, v: 6, c: 3}. Give prob of sequence cvox.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -8*(69\/(-24) + 180\/72).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(312))\/sqrt(8) + sqrt(39))\/(sqrt(3) + sqrt(3) + sqrt(192) + sqrt(192)*-1 - sqrt(3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3777)\/69 - (-2412)\/(-9246)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677477?\nAnswer: 3, 47, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0309 + 0.4309. Put 1\/5, 3, k, -6.3 in decreasing order.\nAnswer: 3, k, 1\/5, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45 + 11892?\nAnswer: 1184c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -27*j**2 - 23*j + 9. Let n(d) = 2*d**2 + d + 1. Let c(z) = m(z) + 13*n(z). What is c(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*p - 7. What is the tens digit of (37 - p\/(-5)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114 - 4*a + 116 + 6*a to the form f*a + t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2324680665?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -40323255?\nAnswer: 40323254.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 17 = 3*m - 103, 5*m + 20 = 0. Calculate the remainder when a is divided by 2 - 0 - (-15)\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5273 = -283*h - 2726 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -19.00000012. What is v rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2742b85 - -12?\nAnswer: 2742b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.8 + 0.2. What is the nearest to 2\/7 in -2\/13, -10, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1061363?\nAnswer: 1061363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194890087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -119. Solve w*i - 2 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from fmfemmhfhffhmfaf.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -491*j**4 + 12291*j**3 + 49073215*j?\nAnswer: -5892*j**2 + 73746*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 12*u**2 + 10*u + 44. Let h be x(13). Let p be (1 + -5 - -1) + h. Solve -4*c + 4*d = 8, 0*d = 3*c + p*d - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/390 and 29\/30190940.\nAnswer: 90572820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/3, 0.06, -5 in descending order.\nAnswer: 2\/3, 0.06, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -130 (b) -17 (c) -10 (d) -0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86723097 and 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1518 or -1568?\nAnswer: -1518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -130, -102, -42, 62, 222?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156484?\nAnswer: 2, 19, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 216*g - 11664.\nAnswer: -(g - 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 + -2 + -3 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 526, 822, 1126, 1438, 1758?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1064, -0.5, -43, -2, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/5))\/x**13)**(-27\/7) assuming x is positive.\nAnswer: x**(1566\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 2*j**2 - 1. Suppose -5*d = 11 - 6. Let w be b(d). What is the biggest value in w, -0.3, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/675)\/((-4)\/(-10)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(28\/(-3) + 0). Suppose -2*u - 4 = 3*r - 47, -2*u + s = 2*r. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 97?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*a - 103 - 24*a + 607 + 69*a - 19*a to s + z*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4692 and -8533?\nAnswer: 40036836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.124 - 107.876. Let v = t + 108.000109. Round v to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 15. What is h(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.3 (b) -27\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 = -295*u - 760 + 27237 for u.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + sqrt(30)\/sqrt(6)*2 + (sqrt(5) + 4 + 3 + sqrt(5))**2)*1.\nAnswer: 207 + 93*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*i + 21 = -13, 7 = 2*a - i. Let v be (12 + -11)\/((-2)\/(-42)). Solve -a*y - 6 + v = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 - -5417?\nAnswer: 5458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 1, z: 2, s: 1, w: 1}. What is prob of sequence wsbc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 8*i + 16. Let x be z(9). Solve -v = 4*f - x, -10 = -2*v - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + 3*j - 1. Let i be n(-3). Let r be i\/22 - (-2)\/(-11). Suppose t - 23 = r. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 91*h + 671 = -265 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 25 = -5*k, -4*l - 26*k + 605 = 487 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2239 + 240.5761. Let x = 241 - n. Which is the third biggest value? (a) 4 (b) x (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/465)\/((-6)\/4).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/3787 - 7688\/215859. Let c(x) = 3*x + 33. Let r be c(-10). Suppose 0 = 4*h, -6 = -r*u + 2*h - 3. Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1 - 3*a**2 + 6*a**2 + 4*a**2 + a**2. Let k be p(2). What is the greatest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/26 - (-52)\/24?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -2.8.\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001001 (base 2) in base 15?\nAnswer: 36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3347395555 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + s - 2 = 0, 4*l - 5*s - 4 = -3. Let p be (l\/(-4))\/((-54)\/4296). Let i = -449\/18 - p. What is the common denominator of 10\/27 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 119 + 25 = 0. What is the greatest common divisor of r and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 49*k + 18*k - 3 + (-3*k + 2*k + 0*k)*(0 + 1 - 3) to the form a*k + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7873*s + 1108 - 1099 = -7912*s + 3285 for s.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*n + 8 - 19*n + n**3 - 25*n + 22*n**2 wrt n.\nAnswer: 6*n + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j = -5*d + 19, -3*d + 4 = -5*j. Let n = 6 + -3. Solve n*i = -0 + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2833407940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 0.1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.9 less than 0.2565?\nAnswer: 61.1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1343*f - 68*f**2 + 1818*f - 4*f**3 + 2*f**3 wrt f.\nAnswer: -12*f - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + (-1 - 2) - -1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -12285.\nAnswer: -44\/12285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*o - 92 = 0, d - 2*d - 34 = -4*o. Let v = 14 - d. Suppose 3*z - v = -z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0352 - 0.3842. Let i = z + -0.297. What is i rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(1\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 4*b + b)*(-7*b + 10*b - 7*b)*(9 - 2 - 1)*(2 - 3 - 1) as d + j*b**2 + s*b and give j.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206323\/257136 + 5\/7792. Let c = 3\/22 - k. Let p be (-15)\/(-21)*4\/10. What is the nearest to -3 in p, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/75113 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -569*d**3\/3 - 2*d**2 - 2*d - 6. What is the second derivative of b(j) wrt j?\nAnswer: -1138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l - 22 = 2*f, -11 = f - 4*l. Let x(t) = -7*t**2 - 15*t + 13. Let q(c) = 13*c**2 + 29*c - 26. Let j(n) = -6*q(n) - 11*x(n). Give j(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/2696585 or 1?\nAnswer: 28\/2696585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -2\/5, -4, 1\/5, -4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, 8, -3, -2 in ascending order.\nAnswer: -3, -2, 8, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*t + 2, 4*d + 17 = 3*t + 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 35. Let r be m(-35). Suppose 6*s + 5*s = 0. Solve -6*a + r*a + 24 = s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 511430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19437 (base 10) in base 12?\nAnswer: -b2b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -685*d + 595269. Calculate u(869).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980474.\nAnswer: 2, 11, 41, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 9636*b + 595161.\nAnswer: 3*(b + 63)*(b + 3149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*r - 56856, -r - 2*a + 18962 = -7*a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Let j(o) = -o**2 + 5*o - 4. Let t be j(l). What is the second derivative of t*b**5 - 9*b + 0*b**5 + 4*b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4 = 9*h. Let d be (1\/h)\/((-2)\/86). Suppose -3*s + 5*k = -6*s + d, -3*s = -3*k - 3. Solve 2*t = -4*q - s, 0 = -0*q - 3*q - t - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/21 and 20\/112293?\nAnswer: 786051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -163?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1547, 3190, 4917, 6722, 8599, 10542?\n\"Answer: -i**3 + 48*i**2 + 1506*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 + 1. Let r(w) = -80*w**3 + 10*w**2 + 4. Calculate 5*q(u) - r(u).\nAnswer: 85*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqm when three letters picked without replacement from {x: 1, m: 6, p: 1, k: 6, s: 1, q: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 + 1. Let l be z(1). Suppose -2*c - 5*o - 19 = l, -2*c + 3 = c - 3*o. Let g be 1\/2 + (-9)\/c. Solve -3*y + g = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 15 = -4*f + 5*u, 3*u = -0*u + 15 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(143) + sqrt(143)*-3)*6 - -4*(sqrt(143) - -3*sqrt(143)))\/(-5*sqrt(22)\/sqrt(2) + 2*sqrt(11)*-4))**2.\nAnswer: 68\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {s: 2, i: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - 7*r)*(-3 + 1 + 0) + 3*r - r - r + r - 4*r + 5*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-68)\/238 + (-18)\/(-63). Let m(o) be the second derivative of g*o**2 + 29\/12*o**4 + 0 - 5\/3*o**3 + 28*o. What is the second derivative of m(v) wrt v?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000652143 to 6 dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3*g**2 + 4*g - 3. What is s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 - 6. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 7*s**2 - 9*s - 4. Let q be l(3). What is the second derivative of 2*j - 2*j**4 + 9*j**4 - q*j**2 + 3*j - j**4 wrt j?\nAnswer: 72*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 4*a = 0. Let j be a\/(-2) - (4 + -5). Solve w = -0*w - j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -2\/7, 16391, 5 in descending order.\nAnswer: 16391, 5, -0.1, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.14419 days in hours?\nAnswer: 339.46056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6677\/390 - -266\/39. What is the common denominator of 62\/9 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 295 - 159. Calculate the remainder when 436 is divided by q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 0.0465?\nAnswer: 0.0465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/8 - -5 - -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 401907 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, h: 2, n: 1, x: 1}. What is prob of picking 2 f and 1 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/x**(1\/24))\/x)\/x)\/x*x\/((x\/(x*x\/(x*x**(-1\/3)*x)))\/x)*x)\/(x*x**(16\/3)*x**(-24)))**8 assuming x is positive.\nAnswer: x**(431\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2723.9 - 2212. Let c = 511.932895 - l. Let o = 0.033 - c. Round o to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398204587 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.101104 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13379 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 9*c + 22. Let r(x) = x**2 - 8*x - 18. Calculate 6*r(m) + 5*z(m).\nAnswer: 11*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1296 + 7660 = 284*g + 2424 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0*d**5 + 1\/21*d**7 + 0*d**2 + 0 - 1\/12*d**4 + 0*d**6 + 0*d**3 - 4*d. Find the third derivative of u(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 7*h - 7. Let b be z(-8). Let f(d) = 2*d - 2*d**2 + 6*d**2 + 0*d**2 - 3*d. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27864, -27928, -28100, -28434, -28984, -29804?\n\"Answer: -9*c**3 - c - 27854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 2*x**2 - x + 161. What are the prime factors of k(0)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 5 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*z - 24795395 = -183726240. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:22 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35641\/7*i**3 + 1330020\/7*i**2 + 326\/7*i**4 + 2554416\/7*i + 1259712\/7 + 1\/7*i**5 = 0.\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.31 (b) 0.5 (c) -3 (d) 0 (e) 2 (f) 16\/13 (g) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 12. Let a = -6 - -10. Let y be u(a). Find the common denominator of 103\/6 and 81\/(-60)*10\/y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 70*v**2 - 134*v + 66.\nAnswer: -2*(v - 33)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12, 42, -22, -4, -5, -3 in decreasing order.\nAnswer: 42, 3, -3, -4, -5, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1066320 (base 7) to base 4.\nAnswer: -200302002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351 and 10634.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 538621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 564558103 and 1046.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6185213?\nAnswer: 31, 199523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11132604 (base 8) to base 9.\nAnswer: -4466071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1313, 1272, 1161, 944, 585, 48, -703, -1704?\n\"Answer: -6*a**3 + a**2 - 2*a + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -596633\/73269 - -2\/10467. Suppose 5*h = 3*x - 32, h = -h - 8. Calculate the common denominator of x\/(-20) + 111\/(-20) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-4\/15)*c*c*c*c*c**2)\/(c\/c**(-5\/4))**(-2) assuming c is positive.\nAnswer: c**(353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Suppose n - 2*j = -1, -4 = n - 2*j - j. Suppose 0*q - 75 = -n*q. Let d(c) = c**2 + 24*c + 144. Let w be d(-10). Solve w*m + q = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + 11000?\nAnswer: 110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331.409ml in litres?\nAnswer: 3.331409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-54)*-4)\/(36\/18).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -3*j + 5*o + 3050, -o - 3759 = -4*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 12*s. Suppose -4*m = -4, 3 = 3*j - s*j - 3*m. What is the derivative of -18 + 20 + 0*a**4 - j*a**4 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7652115 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 - 6*u - 35. Let j(m) = -3*m**2 - 7*m - 34. Let c(r) = -4*h(r) + 5*j(r). Calculate the remainder when c(-14) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - 2*t - 1. Let d(s) = s**3 - 7*s**2 + s - 7. Let k(g) = g + 4. Let a be k(3). Let q be d(a). Let f be (q + 2\/2)\/(-1). Give h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87404, 87403, 87402?\n\"Answer: -b + 87405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11037, 22077, 33121, 44169?\n\"Answer: 2*q**2 + 11034*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/30)\/(-2))\/(2\/(-3))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 8, f: 1, g: 2, j: 1, e: 2}. Give prob of picking 2 n.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2)*1 + sqrt(5) + -3 - ((sqrt(5) + sqrt(45))*4 - (sqrt(5) - (-5 + sqrt(5) + 1))**2).\nAnswer: -14*sqrt(5) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfrshqhqrryr. Give prob of picking 1 q and 2 h.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - -41. Let m = u - 64. Put 2\/11, 0.01, m in ascending order.\nAnswer: m, 0.01, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.0139, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 5*b**2 - 300*b + 540.\nAnswer: 5*(b - 6)*(b - 2)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -3. Let r = b - 0. Let f = 4.2 + r. Put -5, f, -0.5 in descending order.\nAnswer: f, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = -2*v - 346 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/((w\/(((w\/(w**(1\/8)\/w)*w)\/w)\/w)*w*w)\/w)*(w**(-1\/4))**(15\/4))**26 assuming w is positive.\nAnswer: w**(-1885\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 + 7*h - 4. Suppose q + 19 = 3*p, 14 - 2 = -3*q. Suppose -p*s + 20 = -5*v, s = 2*s - 3*v. Does 10 divide b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/(-16)*2*4\/3. What is the common denominator of (y\/4 + 1)\/((-198)\/(-195)) and 17\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, f: 2, b: 7}. What is prob of sequence bbbb?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1047391744 by -2045687.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 133\/6 + 3\/(-18). Let n = 24 - k. Find the second derivative of -n*x**3 + 44 - 44 + 9*x wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 28*t. Let g(s) = s**2 + 21*s. Let c(y) = -4*g(y) + 3*n(y). Let u(a) = -3*a**2 - 5*a**2 + 3*a**2. Determine u(c(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/((-4)\/6) + (10 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 - 2*x - 1. Let g be y(1). Suppose -3*v - t = t - 1819, -g*v = 4*t - 1226. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776\/(-1036)*3\/(3\/7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 364*p + 169. Let c(x) = 13*x + 6. Let i(f) = 169*c(f) - 6*l(f). Let m(j) be the second derivative of 3*j**3\/2 + 7*j. Determine 5*i(d) - 7*m(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14790665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 967361*t + 1934735. Give m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25333 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o = -41*o - 6 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 0. Let y be (-1)\/j - 93\/15. What is the tens digit of -32*(15\/y - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w\/(w*(w\/w**6)\/w*w))\/w*w)\/(w\/w**0*w*w)*(w*w\/w**2)**1*(w\/(w**(-1\/2)\/w)*w*w*w**(-7\/5)*w)\/(w**(3\/11)\/(w*(w*w**8*w)\/w)) assuming w is positive.\nAnswer: w**(2071\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.058 in 39, 7, 2\/7, 5, 3, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let u be (1\/g)\/((-1)\/7). Let f(y) = 11*y**2 + 8*y + 7. Let c(p) = 5*p**2 + 4*p + 3. Let a(i) = u*c(i) + 3*f(i). Factor a(s).\nAnswer: -2*s*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*n + 7405, 129*a = 127*a + 4*n + 7402. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42994619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (13180 - 13180 - 22*u)*(-2 - u**2 - 1 + 1 - 2*u)*(-u + 6*u - u) as h + k*u + m*u**3 + b*u**2 + r*u**4 and give m.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101 * 498808.\nAnswer: -50379608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*j + f + 7, 3*j - 4*f = 10. Suppose 4 = -0*p + j*p. Solve -p*u + 4 = -0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4 - 520*b**3 - 12876*b**2 - 32072*b + 45472 = 0.\nAnswer: -98, -29, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -37. Suppose -2*b - b + 12 = p. Factor -3 + b*f + 4*f**2 - 18*f + 27 - 6*f.\nAnswer: 4*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24 + -38)*1*2\/(-2). Calculate the highest common divisor of b and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 2, 2315, 0.1 in increasing order.\nAnswer: -5, 0.1, 2, 3, 2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835240*g + 19*g**3 - 835240*g.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from qnteqjqnznnqtqz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1*1 + 7 + (-53 + 1587 - -2) and 12.\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d + 3*x + 86 = 0, -2*x = d + 24. Calculate the common denominator of -17\/4 and -1 + 2\/d*-42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-135)*2 - (-6347)\/15. What are the prime factors of ((-6)\/(-9))\/(1\/h)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**(4\/23)*(t\/t**(-2\/5)*t)**(-9) assuming t is positive.\nAnswer: t**(-2424\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y**4 + 3 - 8 + 0*y**2 - 2*y**2 + 4 + y**2 - y**3 as z*y + q*y**4 + r + p*y**2 + m*y**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 2 (c) -1.1 (d) -33\/8 (e) 1\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + -2))*-5 + sqrt(13) - sqrt(13)) + sqrt(13) + -1 + sqrt(637) + sqrt(637))**2.\nAnswer: -330*sqrt(13) + 3046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19945735*l - 10921691.\nAnswer: 19945735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 - -729. What is r rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001012 (base 5) in base 6?\nAnswer: 3203554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284718771 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, v: 3}. Give prob of picking 1 v and 3 j.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*a - 10, -2*d + 2*a + 2 + 10 = 0. Let q = d - 36. Let p = 44 + q. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 3280 - 610 + 5754 = 0. What is the lowest common multiple of 2160 and k?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*x**3 - 70*x**3 - 52*x**3 + 2*x.\nAnswer: -577*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -193913853 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55063\/(-158)*(-52)\/(-533).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.451 * -0.783.\nAnswer: -48.899133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(244\/24 + -5). Put 1\/3, k, -5\/2 in decreasing order.\nAnswer: k, 1\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 at least as big as 10\/264383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 237632*d**3 - 7152330396*d**2 + 5567092074944*d - 1097683049105378.\nAnswer: -2*(d - 59011)**2*(d - 397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5376 = -4*j - a, -10*j + 5*j + 6720 = 4*a. Is 48 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 276163 in increasing order.\nAnswer: -4, -1, 276163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 15. Let y be m(6). Suppose 0 = -5*p - 3*b + 116, 5*p = y*b + b + 102. Suppose 2*f + p = 3*f. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1622*z - 1624*z - 6*r + 8*r = 111 - 109, 0 = -40*z + 4*r - 220 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44*1\/24 + 2\/12. Solve 3*l = -2*q + 12, 2*q + 1 = q + z*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*d)*(55*d + 221 - 221) + d**2 - 3*d**2 + 0*d**2 to the form a*d + l + g*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 695 or 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.188 rounded to one decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3 - 73046*a**2 + 2632178*a - 2559130 = 0.\nAnswer: -36559, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5*y - y)*(-3 + 4 + 0) - 3*y - 2*y + 6*y + (0 - 2*y + 0)*(0 + 4 - 6).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zggo when four letters picked without replacement from {g: 2, y: 4, z: 8, o: 1, h: 4}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 80943 = 3*c - 276310, 3*c = w + 357247. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -18*k. Let d be t(-4). Suppose 0 = m - h - 17, -3*m + 4*h + d - 16 = 0. What is the least common multiple of 20 and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40286980 and 5.\nAnswer: -201434900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2507 + -0.0377. What is i rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + r - 2 = -0*r, 3*x - 5*r = -12. Calculate the common denominator of 51\/22 and x\/(8\/148) - -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 2, q: 2, z: 2, e: 1}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - n + 3)*(-4*n - 3*n + 5*n) - 526*n**2 + 652*n**2 - 1687*n**2 to t*n + r + w*n**2 and give w.\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(7\/2)*s)\/(s**(-11)*s)*(((s*s\/s**(-1\/6))\/s)\/s*s)\/s*s*s\/(s**(-4)*s))**(-12\/5) assuming s is positive.\nAnswer: s**(-248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 2*x + 1. Let n(v) = 7*v**2 + 12*v - 6. Let c(b) = -6*l(b) - n(b). Let j(d) = -d + 1. Give c(j(z)).\nAnswer: 5*z**2 - 10*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410454080.\nAnswer: 2, 5, 211, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 36 - 41 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Let o = g + -5.1. Which is the closest to 5? (a) o (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -11*t + 6*t - 1, 0 = 5*t - 5*q. Let n = 2 - t. Suppose -x = 2*w + 2*x - 18, -5*w + 45 = -n*x. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 at least 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000080214599 to 6 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -76. Let q(a) = -592*a**3 + a**2 + 2*a. List the prime factors of q(h).\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -106*i + 3592. What is j(29)?\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-4))\/((-70)\/(-112)))\/(1922\/(-42284))\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7828410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 35244 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4351.8 plus -14.500668?\nAnswer: -4366.300668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:01 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587 = -4*l + 5*a + 845, -1216 = -2*l + 3*a. Calculate the remainder when l is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.035, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u*u)**(32\/7)\/(u\/u**(-2))**(1\/5) assuming u is positive.\nAnswer: u**(-821\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 19 - 121)*(-2*n**2 - n**2 + n**2).\nAnswer: 308*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 207913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + c)*(-3*c - 4*c - 2*c).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 65*h + 91. Let v be c(31). What is the remainder when (v\/(-5))\/(7\/3045) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 - 4051*n**3 - 490297*n**2 - 13177533*n - 102141270 = 0. Calculate n.\nAnswer: -3927, -90, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 2*a**3 - a**2 - 25 - 33 as j*a**3 + h + k*a**2 + f*a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -337*f - 44. Calculate the lowest common multiple of 2 and x(-1).\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225 or -3835\/17?\nAnswer: -3835\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03852 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j**4 - 35*j**4 - 26*j + 2*j**3 + 43*j**4 to c*j**2 + k*j**4 + n + b*j + g*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -388752, -777324, -1165896, -1554468, -1943040?\n\"Answer: -388572*x - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -6. Suppose 4*u = 5*t - 9, -5*u + 2*u = -t - 7. Suppose 13*k = 14*k - t. Which is the closest to q? (a) k (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14614875.\nAnswer: 3, 5, 11, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.8 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(931) + sqrt(931))**2.\nAnswer: -140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16246052 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 746*i**2 + 39844*i - 39844*i + (-2*i - i + i)*(0*i - 3*i + 4*i) as v*i**2 + h*i + r and give v.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-12) + 35\/28. Solve -k*t = -6*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1769 - -1769. Solve h*r = -2*a - 5*r - 22, r = -a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5558*b + 6782*b - 1924*b + 7517*b in the form v + x*b and give x.\nAnswer: 17933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*j = -73*j - 5060 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**2 - 2*k + 3. Let m(y) = -740*y**2 - 1 + 370*y**2 + 3*y + 369*y**2 - 3*y. Determine -3*m(w) - x(w).\nAnswer: -6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/54*-6)\/(-105*(-76)\/47880)*-9?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17650.8 and 520150.97?\nAnswer: 537801.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 4*u - 69, 0 = -v + 2*u + 21. Calculate the greatest common divisor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, y: 7}. Give prob of sequence yaa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20439, -3, 6.\nAnswer: -20439, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7920086 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 3) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*g - 16 = 0, -14 = 3*h + 28*g - 7*g - 16*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*l - l, 0 = 4*t + 5*l + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1003359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*v = i + 12, 4*i - 12 = v. Suppose 0 = -i*j - 20 - 10. Let k = j + 19. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1\/8, 2, -49, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -3, -0.082172, 1?\nAnswer: -0.082172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 440723183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 2*d. Suppose -z + 2*r + 0 = -6, -4*r = 3*z + 22. Give a(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19488*d - 822. Does 18 divide c(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2 - 481*p - 961. Calculate x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = z - 2*s, -2*z - 2*s = 2*s - 138. Calculate the remainder when z is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31920 is divided by 7829.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a - 3*w, 0 = -5*a + 3*a + 4*w + 8. Sort 4, 8, a in ascending order.\nAnswer: a, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, z: 5, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**5 - 3*b**5 + 3*b**5 + (0*b**2 - 3*b**2 + 2*b**2)*(-2*b**3 + 3*b - 3*b) + b**5 - b**3 + b**3 + 0*b**5 - 4*b**5 + 2*b**5 - 6*b**5 + b**5 - 2*b**5.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 832685827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49*209\/133*1\/1 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/27)\/(h\/(h*h**(-23))))\/(((h\/(h\/h**(-1\/3)))\/h)\/(h\/(h\/((h**(-14)\/h)\/h)))) assuming h is positive.\nAnswer: h**(-1018\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6175 is divided by 58.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/((76\/228)\/(1\/(-2))). Let z = -149\/63 - -11\/9. Which is bigger: z or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/366 and -91\/48.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (84\/(-147))\/((-20)\/14). Sort -76, -3\/5, q.\nAnswer: -76, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2. Let w = 7 - 5. Let j = 4 - 3. Let v(l) = -1 + j - l**w. What is v(s(m))?\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9 - 174\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = -15. Let a(i) = -2*i - 3. Let g be a(-2). Suppose -c = -y - 2, m*y - c + 1 = -g. Solve y = k + 3*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(15\/(-6) + 2). Find the second derivative of -3 + 3 + 2*s - s**m wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -1. Suppose -18*t - 10*t + 14000 = 0. Suppose 139*y - 39*y = -t. Put 0.007, z, y in decreasing order.\nAnswer: 0.007, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-7) - 24\/56 - -9. Suppose -h = -3*g, -2*i = 2*i + 4*g - 44. Suppose -10*t + 14470 = -i*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:10 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1220241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(4\/131) - (-7 - -4). Let j = p - 136. Let w(z) = -z**3 + 2*z**2 + 3*z - 4. Let c be w(3). Do j and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 43. Let o(c) = -c**3 + 4*c**2 + 6*c + 3. Let v be o(5). Let g = v + q. Solve -a - g*y - 24 = y, 0 = -3*a + 3*y + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbczcuruuuv. What is prob of picking 1 z and 3 u?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/38*2*(-3)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 + 66.067. Let g = n + -0.122. Let s = g - -0.057. What is s rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 85 = -1569*d + 1592*d. Let w = -37 - -55. What is the lowest common multiple of d and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v - 826. Calculate b(-46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180566 and 3562.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15096256 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/504 + (-113)\/1575?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/6 - 5*i**3\/3 + 6*i**2 + 5*i. Factor g(m).\nAnswer: 2*(m - 3)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 - 940*f**4\/3 - 11402*f**3 + 206032*f**2\/3 - 54216*f - 69984 = 0.\nAnswer: -81, -2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60219*h + 2492 - 2492.\nAnswer: 60219*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211.437 + 211. Let i = -0.462 - x. What is the fourth smallest value in 0.3, 4, 1\/7, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.305757 to 1 decimal place.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 372*m**2 + 106488*m + 6566528.\nAnswer: -(m - 976)*(m + 116)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r - 169 = -77*r. Solve r - 17 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-3 - (-4)\/3). Let l = b - -8. Suppose -r + l*r - 2*g = 17199996, -r = 5*g - 8600010. What is r rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -5.54?\nAnswer: -265.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 18. Suppose 3*t = -2*s - 2*s + 20, 3*t + 3*s = i. Suppose 3 = t*d - 9. Solve 0 = 2*c - r + d, 4*c + 0*c + 24 = -4*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(99) + sqrt(99)*-2 + sqrt(99) + sqrt(99)*-3*4 - -4*(sqrt(99) + (-1 + sqrt(99))*-5 - (sqrt(99) + sqrt(99)*1 + 1 - sqrt(99))))**2 + 2.\nAnswer: -2304*sqrt(11) + 101522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from xxwxcsqnwcxccxxw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116 + 6da03?\nAnswer: 6db19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 + l. Let s = -7 + 6. Let o be n(s). Suppose o*u = 2*h + 5*u + 6, u = h + 3. Which is smaller: h or -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 + 51*a**2 + 107*a + 96. Give h(19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 - 8*a - 6. Suppose -v + 5 = -2. Let u be c(v). Let r = 67 - u. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949966933 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2166 + -2166. Solve 23*u - 7*u - 32 = b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let u be x(4). Let w(r) = -r**3 + 3*r**2 - 2*r. Let i be w(2). Suppose i = f, 0 = 5*y - 2*f + u*f - 60. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -688?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422051879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3582966.21998696 - 3582948.22. Let j = -18 + z. Round j to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 8.4. Let r = t + -3.1. What is the smallest value in 0, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1279224902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - h + 2 + 6 = 0, 0 = 2*z - 38*h - 10*h + 92 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72205 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + 3 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + (-259)\/(-49). Suppose 5*a - 20 = -u, -u + 0*u + i*a = -20. Calculate the least common multiple of u and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408487791?\nAnswer: 17, 82852223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1053332, 1053407, 1053482?\n\"Answer: 75*a + 1053257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 90*b**4 + 106*b**3 - 172*b**2 - 40*b + 16 = 0?\nAnswer: -2, -2\/5, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 898, 1339, 1710, 1975, 2098, 2043, 1774?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 288\/5*q - 23 - 24\/5*q**2 + 2\/15*q**3. Factor w(g).\nAnswer: 2*(g - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/350115273 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12580 and 482110?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -93 - (-76)\/13\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 3. Let m be (14\/4)\/(-1) + (-3)\/(-2). Let s be m - -4*(-9)\/12. What is j(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 781a + -38?\nAnswer: 77a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-6)*(1 - 2). Let i(r) = r**3 + 5*r**2 - u + 0*r**3 - 8 - 6*r + 3. Determine i(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59578967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 162*v + 8170. Let p be r(-50). What is the greatest common factor of p and 5138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 914 + -911. Solve -y*w + 3*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-2)))**(-39))**(-9\/7))**(3\/2) assuming c is positive.\nAnswer: c**(1053\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 12. Suppose 2*z - 15 = -5*k + 5*z, 0 = 5*k - 2*z - 10. Sort v, k, 1 in descending order.\nAnswer: v, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 1048330380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 20662, -599?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13218 - -13223.803. Let x = -5.8 + k. Let t = -0.013 - x. What is t rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = 2*p - p, -4*p - g + 24 = 0. Solve -8 = 2*k - p*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 9449627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 11 = r, -o + 2001 = -2*r + 1986 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.832 and 271652.\nAnswer: 271692.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36868253 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-51 - (-10656)\/210)*(-20)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -283507, -566894, -850267, -1133620, -1416947?\n\"Answer: f**3 + f**2 - 283397*f - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3003, 37, 451.\nAnswer: -3003, 37, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**9\/(t*t**(-28)*t) assuming t is positive.\nAnswer: t**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 6. Let j be w(3). Suppose 3*b = -j*b + 165. Suppose 4*h = -15 + b. Is 9 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/6 (b) 2 (c) 0.24 (d) -4 (e) -6\/1523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 407*b**3 + 22416*b**2 + 160048*b + 307328.\nAnswer: (b + 4)**2*(b + 56)*(b + 343)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o + 61*o = 6*b - 220, 8 = -4*o. What is the lowest common multiple of b and 730?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8780\/3, -2\/9, -0.084, 5 in decreasing order.\nAnswer: 5, -0.084, -2\/9, -8780\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 5*j)*(-3*j + 1 - 1) + j**2 + j**2 - j**2 + (120*j + 12*j - 39*j)*(0*j + 5*j - 2*j).\nAnswer: 295*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13782*-873.\nAnswer: -12031686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/11 (b) 0.3 (c) -0.0753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131*l**2*x**2 - 23*l*x**2 + 5*l + 560*x**2 - 37 wrt l.\nAnswer: 262*l*x**2 - 23*x**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14347 + 12237. Which is the third smallest value? (a) u (b) -2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 3}. What is prob of sequence qq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -8) + 9 + (-5 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -1\/34, 2, -3\/4, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 47.56. Let i = -1.44 - v. What is the biggest value in 0.1, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2607430 and 171770.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/2 - 10*m. Let b(q) = -2*q + 15*q - 2*q - 9*q. Give b(a(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 540 - i**4 + 1076 + 0*i**3 - 536 + 7*i**3 - 2*i**2 to d + h*i + a*i**2 + u*i**3 + s*i**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u = 18. Let x = 16159 + -16162. Are x and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 44*f + 47. Let j be g(-1). Calculate the highest common factor of 7 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19*g**2 - 2081*g - 1091. What is x(-109)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140 - 4)*825\/(-99). Calculate the highest common divisor of 64 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2) + 640 + -630?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 304\/1689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 5*c - 5. Determine q(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 176*d + 39*d + 22*d + 2370 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224079045 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 105.98.\nAnswer: 105.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 9 - (-1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5 + (sqrt(13) + sqrt(13)*-3*-6 - sqrt(13)))**2.\nAnswer: 180*sqrt(13) + 4239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o**3 - 10*o**2.\nAnswer: 2*o**2*(6*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 860 = 2*t + 871, 4*o - 16 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236.2 + 202. Let f = 36.2 + l. Which is the fourth biggest value? (a) -3 (b) -1 (c) f (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 618042\/(-150960) - (-1)\/8. Let x = -12\/629 - n. Calculate the common denominator of x and 93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 21.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17178121?\nAnswer: 29, 167, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 4:22 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 81*d - 498. Calculate h(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10284.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p)**(9\/10)*(p**5*p)\/(p*p**2) assuming p is positive.\nAnswer: p**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, -0.4, -1\/9, -73, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3\/2, 6\/13, -6, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983983535 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2022140 is divided by 96292.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -65*w - 9. Let a = -80 - -69. Let o be ((-1)\/(-4))\/(a\/(-44)) + -3. What is the units digit of j(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 151 + 88. Let o(b) = 7*b**3 + 4*b**2 + 2*b + 4. Let a(j) = -15*j**3 - 9*j**2 - 4*j - 9. Calculate h*o(i) + 4*a(i).\nAnswer: 3*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2590655 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 288.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -149.7509 (b) 63 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80556, 80560, 80564?\n\"Answer: 4*j + 80552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -8. Let h(i) = i**2 - 5*i - 16. Let v be h(t). Let f(r) = -r - 10. Let q be f(-13). Put q, -3, v in decreasing order.\nAnswer: q, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, f: 1, x: 1, c: 3}. What is prob of picking 1 u and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22121221002 (base 3) to base 7\nAnswer: 1305026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**3*t**3 - 15930*l**3 + 22*l**2*t**3 - 54*l*t**3 - t**2 wrt t?\nAnswer: 90*l**3 + 132*l**2 - 324*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + r + 12. Let c(i) = 55*i - 165. Let g be c(3). Determine k(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 2*m + 3. Suppose -i = 3*i - 28. Suppose -i = -f + 3. Suppose f*q - 5*q = -25. Let n(a) = -3*a**2 + 3*a + 5. Give q*h(j) + 3*n(j).\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 4:29 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqyvcccvccvxcchvc. What is prob of sequence hqv?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, -1050059 in decreasing order.\nAnswer: -0.2, -1, -1050059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -48. Let n(w) = 3*w**2 + 4. Let a(u) = -4*u**2 - 5. Give h*a(m) + 5*n(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -20, 5 in ascending order.\nAnswer: -20, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from hhddddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 7 = -2*k - 5*v, -4*v = k + 20. Solve 0 = -2*a + 3*a + 4*b + 24, k = -5*a + 5*b + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161792607?\nAnswer: 1161792607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10600569*3.\nAnswer: 31801707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 + 17*m + 44. Let y(w) = -8*w**2 + 33*w + 85. Let i(u) = 5*n(u) - 3*y(u). What is i(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*j - 1643*j - 4605*j.\nAnswer: -8494*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + 18\/8. Let f = -2.502 + 4.502. Suppose 2*l + 13 - 5 = 0. What is the closest to 1\/2 in l, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)*a**(-1\/23)*(a**(-1\/8)*a)**(-1\/25))**(-46) assuming a is positive.\nAnswer: a**(1511\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 + 0 + -7 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 14. Let x be s(-4). Suppose g - 3*u + 5 = 0, -3*u + 29 = -x*g + 2*g. Let a(i) = -7*i + 13. Does 23 divide a(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -5 (c) 37245\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**3 - 15*a**2 - 59*a - 20. Let x(y) = 5*y**3 + 8*y**2 + 32*y + 11. What is -6*h(o) - 11*x(o)?\nAnswer: -o**3 + 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1832745 and 1647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13a453 (base 11) to base 5\nAnswer: -24000301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3839*n**3 + 3831*n**3 - 7669*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*l = -108, -393 = -4*n - l + 2*l. What is the greatest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-1 + -2)) + -2. Suppose 2*z - p + 1 = 0, 2*p = 2*z - 0*p. Let l be 0 + -2 + z - f. What is the smallest value in 0.04, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*z**2 + 143*z**2 + 137*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 + 3 - (3 - 2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. List the prime factors of (2 + -1)\/(1\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54244284.\nAnswer: 2, 3, 71, 63667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46001887\/551221 - 1\/50111. Let x = l - -5898\/77. Find the common denominator of -91\/2 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 189, 380, 573, 768, 965, 1164, 1365?\n\"Answer: j**2 + 188*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 142 = -13*u - 742 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123212 - 13?\nAnswer: 123133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.440811 + 0.559189. Let v be 2\/(-12) + (-2)\/6. Sort v, l, -14 in decreasing order.\nAnswer: l, v, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11475589.9 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26780\/(-2575)*15\/(-66)*1?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 5992*f**2\/3 - 42022*f\/3 - 20020.\nAnswer: 2*(f - 3003)*(f + 2)*(f + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 145*i = -41261146. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*g - 70*g - 111*g)*(-g - g + 3*g).\nAnswer: -118*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*y + 22, 4*b - 51 = -3*y - 77. Sort 2, -3, -1, b, 4 in increasing order.\nAnswer: -3, b, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11052222 + 203?\nAnswer: 11052425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**4\/4 - j**3\/3 + 7*j. Let z = 20 - 27. Let s(t) = -3*t**2 - 2*t. Determine z*s(q) + 6*h(q).\nAnswer: 3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 279*b**5 - 45*b**4 - 4*b**2 - 46*b - 57 wrt b?\nAnswer: 16740*b**2 - 1080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -293120 divided by 80?\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2859418*a**2 - 2859420*a**2 + 14297088*a**2 - 2859420*a**2 - 2859405*a**2 - 2859427*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-2 - (-34)\/6). Let r = -34686 - -34686. What is the closest to r in p, 10\/3, 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 7. Let s be -2*((-3)\/(-6) + 1). Is h\/(-9) - 284\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:30 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/2))**(2\/93))**(-21\/8))**(2\/57) assuming d is positive.\nAnswer: d**(-7\/2356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352650 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 3. Let l = j + 5. What is the second derivative of h + 0 + 0 - 4*h**l + h**4 wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -21*p + 5. Let q(d) = -51*d + 38. Let j(h) = -2*h - 4. Let n(f) = 6*j(f) + q(f). What is 5*n(i) - 14*r(i)?\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4753\/(-2716)*(-44)\/7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-12)*54\/120*(-50)\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13282\/1245 + -2\/1245. Let l = -29654 - -29658. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*d**3 - 412692*b**2*d - b**2 - 235670*d**3 wrt d?\nAnswer: -24*b**2*d - 1414020*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 944 + -466. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 71.5 and 12031.\nAnswer: 860216.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 + 21*m**2 - 16. Let v(c) = 4*c**3 - 40*c**2 + 30. Determine -7*f(k) - 4*v(k).\nAnswer: -2*k**3 + 13*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567))**2 - sqrt(7)) + -2.\nAnswer: -sqrt(7) + 565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -3*j - 4 = -2*j, 0 = k*w + 5*j - 16. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104) + sqrt(104)*1*2)*1)\/((sqrt(288)\/(sqrt(18)\/sqrt(3)))\/((-2*sqrt(12) - sqrt(12))\/sqrt(2))).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6499?\nAnswer: 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233221 + 1?\nAnswer: -233220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8101 to 2 decimal places.\nAnswer: 3.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 p, and 1 s when three letters picked without replacement from {s: 1, x: 1, p: 5, o: 2, e: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cscs when four letters picked without replacement from csscsssssssscsssssss.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 4, m: 1, u: 2, q: 2, d: 2}. Give prob of sequence mww.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9*1*-3. Let r = 80 - 82. Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4\/9, 2, -4\/9, -0.4 in descending order.\nAnswer: 2, 4\/9, 0, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499012729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.282 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 4*h + 152 = 0. Let r = -19 - h. Suppose -2*f + 4*a + 282 = r, 2*f - f - 4*a = 143. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 10, 0 = 16*m - 19*m + 2*s + 19. Solve -5*d - 16 = -m*n + 9, -d = 4*n - 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/6 + 3*k**2\/2 - 6*k. Let h(j) = j - 2. What is -5*h(c) - 4*v(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 13*c**2 - 2*c - 17. Let j be p(-13). Let b(h) = 3*h**3 + 9*h**2. Let u(v) = v**2. Determine j*u(k) - b(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(3*s - s - 3*s)*(5 + 1 - 1).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 157740*x - 2073492300.\nAnswer: -3*(x + 26290)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 648646 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*m + 368*m + 208*m + 21505 = 0 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - 63) + (-48 - (-37 + 25)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.06 (b) -71 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40977 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let p = m + 4. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(11) + sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11) + 5) - (sqrt(704)*-2 - (-3 + sqrt(44))))**2.\nAnswer: 2268*sqrt(11) + 20133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p = -35*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 4 (c) -0.08 (d) -8 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(204)\/sqrt(3) - (sqrt(17) - sqrt(17)*2)*2) + (3*(sqrt(136) - (sqrt(136)*-3 + sqrt(136) + sqrt(136))))\/sqrt(8).\nAnswer: -5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 + 292. Let t be (-2 + (-147)\/(-3))*2. Suppose q - t = -s. Calculate the highest common factor of q and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5105, 5103, 5099, 5093, 5085, 5075, 5063?\n\"Answer: -j**2 + j + 5105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 211761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51123, 204469, 460045, 817851, 1277887, 1840153, 2504649?\nAnswer: 3271375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8*n - 2. Let y(w) = -17*w - 5. Let x(m) = -5*s(m) + 3*y(m). Let f(q) = 12*q + 6. Let a(d) = 3*f(d) + 4*x(d). Is 6 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3030 (base 12) to base 8.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2 + m**3 - 6 - 2*m**3 - 1 - m**2. Calculate o(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*2441490.\nAnswer: -183111750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -40 - (-2 - -10) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/(-2)*(-24)\/56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25225 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -31. Suppose 2*f = 4*f + p*g - 20, 4 = g. Factor -1\/4*u**3 - 1\/4*u + 0 + 1\/2*u**f.\nAnswer: -u*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*c - 57832 = -124003 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.7 - 8. Let v = u - -0.1. Let h = 0.7 + v. Which is the closest to -1\/3? (a) 1\/4 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3032\/28 - (1 + 15\/(-21)). Calculate the highest common factor of 135 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2253 or -971?\nAnswer: -2253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -43. Do m and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/60 - (-96)\/15. Let s(j) = -17*j - 2 - 7 - 2. Let y(w) = -9*w - 5. Let a(o) = -4*s(o) + 9*y(o). Let t(h) = 4*h. Determine z*t(u) + 2*a(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14.7 (b) -0.5 (c) 2\/15 (d) 0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/87 and -35\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9948306 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28372 and 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f**2 - 19*f - 87. Give x(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 753530469 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 - 12*f - 22. Let m(z) = -5*z**2 - 6*z - 12. Let b(o) = 7*m(o) - 4*u(o). Let w(h) = h**2 - h - 1. Determine b(d) + 4*w(d).\nAnswer: 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2249.3 and 0.62.\nAnswer: 1394.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 9*h + 9. Let o(m) = m**2 + 1. Let g(u) = -d(u) + 6*o(u). Let j be g(8). Solve v + 2 = 3*v + w, 0 = -j*v + 3*w - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 18 = 5*b + 19, 4*c - 2*b + 30 = 0. Let d = 7 + c. Is -2\/19 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1)\/((-2130)\/(-284))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 201 + 28811.9565.\nAnswer: 29012.9565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 152 = 4*i, -8*i - 14590 = 2*k - 14294 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 13*c**2 - 64*c - 338. Let i be w(-6). Solve i*z = -6*z - 128 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 192. Let k(h) be the first derivative of -5 - h + 1\/8*h**4 - 3\/4*h**2 + 0*h**x. Suppose k(n) = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4726 + -28507\/6. Find the common denominator of 5 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 16 = 40. Is o > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146509 * -0.024\nAnswer: -3516.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 79*i + 3316. Let p be x(-42). What is the nearest to -0.1 in -4.8, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -795 + 992. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 668*p**2 + 38 - 49)*(3*p**2 - 2*p**2 - 3*p**2).\nAnswer: -1336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 - -802e558?\nAnswer: 802e546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - s - 14 = -7, -13630*s - 31 = 15*p - 13626*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a4 (base 13) in base 7?\nAnswer: -11163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*(-3)\/12*-16. Let u be l + ((-2)\/(-3))\/((-6)\/9). List the prime factors of (-5)\/(195\/(-267)) + (-2)\/u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008042818 rounded to 6 dps?\nAnswer: -0.000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9 = -2*t - 4*a, t = -3*a + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:26 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28715574+-11446.13\nAnswer: -28727020.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 2 - 2 + (4 + 2*v - 4)*(5*v - 5*v - 2*v**2) + 35*v + 5*v**3 - 35*v - 2*v**3 + 4*v**2 - 4*v**2 + (-2 + 2 - 2*v)*(-2*v**2 + 4*v**2 - 4*v**2).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -444 - -467. Suppose 24 = -4*c - 4*f, 4*c + 5 + z = -2*f. Sort -4, -1, c, 2 in decreasing order.\nAnswer: 2, -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 1 (c) -3\/4 (d) -385 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 10\/3627 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 4, q: 1, m: 5}. Give prob of picking 2 w and 1 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 57\/4 - 12\/(-16). Suppose 3*w - 8*w + o = 0. Suppose -71 - 88 = -w*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3200 + -10313?\nAnswer: -20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9126*g - 1519. What is the ten thousands digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*3) + sqrt(2))**2 + sqrt(242) + -3.\nAnswer: 5\/9 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 246 = -9*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28579, -28576, -28573?\n\"Answer: 3*v - 28582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145 - 145 + 2*g**2 - 2*g.\nAnswer: 2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9836367 to three decimal places.\nAnswer: 0.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30185.48 from -10.\nAnswer: 30175.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-98))\/((-2)\/(-12)*3)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -146, -172, -202, -236, -274, -316, -362?\n\"Answer: -2*z**2 - 20*z - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 15. Let d be n(13). Suppose -2*z + 3*i + 1778 = 0, -3*i + d*i = -4*z + 3556. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 - 403. What are the prime factors of j?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-3)\/(-6) - (-13 + 23). Let r be 4\/(-2) + (-2 - -7). List the prime factors of r*1\/(j\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 195*t + 1257.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/20 and 55\/2164.\nAnswer: 10820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 120. Let i be t(0). Suppose 0 = -38*a + 74 + 40. Factor -8*d**3 + i*d**5 + 4*d - 116*d**5 + 0*d**a.\nAnswer: 4*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3217 + -2869. Calculate the highest common factor of 783 and k.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/91 - 4\/(-26)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27808072459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(4*1\/40). Let j(k) = -15*k + 11. Is j(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r. Let i be y(7). Suppose i = -3*v + 8*v. Let n = 5 - v. Which is the third biggest value? (a) 0 (b) n (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2845.3 + -3018. Let r = 173 + v. Suppose -m - 26 = -9. Sort r, m, 3 in decreasing order.\nAnswer: 3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -23 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220290723?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 6. What is the nearest to c in 3, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672990919 to the power of 1\/2, to the nearest integer?\nAnswer: 40902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/18 and (3\/((-162)\/5))\/(2\/78)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 12*r - 38. Let q(v) = -v**2 + 13*v + 37. Let m(a) = -4*q(a) - 3*z(a). Let s be m(20). Let k = s + -35. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/49, -2\/11, 0.11, 2 in descending order.\nAnswer: 2, 0.11, -1\/49, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33450 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -881878*u**3 - 3344334 wrt u?\nAnswer: -2645634*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**8\/26880 + i**7\/2240 - i**6\/480 - i**5\/30 - 2*i**2. Let l(y) be the third derivative of j(y). Factor l(g).\nAnswer: -3*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60804035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 34 - 25)*(0*d**3 - 3*d**3 + 2*d**3) to the form m + j*d**3 + v*d**2 + b*d and give j.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 363\/15 + (-4)\/20. Suppose -2*r - c = -30. Suppose -r*g + 7*g = 288. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90287299 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 425298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 0*s + (s + 3*s - 2*s)*(-4 - 1 + 3) + 2 + s - 2)*(-1222*s - 1459*s - 218*s).\nAnswer: 14495*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 52065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-9)*(-36)\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 80 = -5*d + 2*q, -5*q - 8731 + 17376 - 8725 = -5*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.11, -4, -0.3, -1\/8 in decreasing order.\nAnswer: 0.11, -1\/8, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 - 778*f + 109. Calculate the remainder when s(90) is divided by 149.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214265 is divided by 461?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 210\/8 + -3*1\/(-4). Calculate the greatest common factor of x and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*s + 40*s - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -781 in 18.96, 0.4, 2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/27)*u*u)\/u*u*u**(-15)*u**24*u*(u*(u*u\/u**(-33))\/u)\/u*u assuming u is positive.\nAnswer: u**(1271\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*-1*9\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*p - 73, 3*p + 10 = 1. Let c = 62 + -38. Let k = y + c. Which is smaller: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/(-1*(-4)\/(-40)). Suppose 13 = d*j + 3. Suppose -3*z = -2*u + j*z + 271, -4*u - 2*z = -530. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w + 7. Let n be x(5). Suppose 2*p = -c + 7 + 10, -c - n = -2*p. Let r = 4 + p. Solve 2*l = d - 1, -3*l - 2*l + r = -5*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(-2 + 0 - 1)*(429*z - 429*z + 40*z**2) to the form b + t*z + p*z**2 and give p.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 505*n**3 - 491*n**3 + 4*n**2 + n**2.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*h - 86, h - 5*h - 272 = -4*m. Let l = 44 - 20. Calculate the remainder when m is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from gqqpqqgqqdqqqpqq?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**3\/7 + 969168*c**2\/7 + 11181845025*c - 156549707046\/7 = 0.\nAnswer: -161529, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/2 - 10519*i**2\/2 - 17525056*i - 17862916096 = 0.\nAnswer: -4288, -1943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 41530 and 41528 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 13*v + 3 + 13*v - 2. Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let h be 10 + (1\/3)\/(1\/9). Let v(m) = -16*m - 2*m + 0 + h*m + 2. What is -v(l) + 4*z(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3122845 is divided by 329?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 7*m**2 + 12*m**2. Let u(f) = -1776*f + 887*f + 885*f. Give u(t(n)).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:48 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 53. Suppose 4*m + 4*a = u*a + 85, -5*a - 75 = -5*m. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-4 + -5) - -3 - (13 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1005 divided by -201\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 366655049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 93*j**2 + j + 40. Give m(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 48571952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*c**5 - 2*c**4 + 0*c**4 - 8*c**5 + (0*c - 4*c + 2*c)*(3*c**4 + 7*c**3 - 7*c**3).\nAnswer: -c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 0*a**2 + 3*a**2 - 2*a + 2*a**2 + 2*a + (3*a - a - a)*(0 + 0 + 2*a) + 0*a + a + 9*a**2 - 10*a**2 + 0*a**2 + 0*a**2 - a**2.\nAnswer: 4*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 251159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 128. Let t(a) = 9*a - 320. Let f(g) = 2*t(g) + 5*z(g). Let m(w) = -1085*w**2 + 2. Calculate f(m(u)).\nAnswer: 2170*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -418\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 11, 1\/54 in ascending order.\nAnswer: -2\/5, 1\/54, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(133)*-6 - (sqrt(133) + (sqrt(133) - (sqrt(133) + sqrt(133)*-1)*-4)))\/((sqrt(567) + (1*sqrt(567) + sqrt(567))*4)*3).\nAnswer: -26*sqrt(19)\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90872101 or -90872100?\nAnswer: -90872100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -2 - 2) + (49 + -36 - 4) - 99.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11467 - -11485. Let i = 7 + -3. Solve -10*w + a = -i*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*r*s**2 - 2*k*r*s + 2*k*r + 286*k*s - 513*r*s**2 + 2*s**2 - s wrt s.\nAnswer: -4*k*r - 1026*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 47*n - 2069. Let y be u(44). What is the fifth smallest value in 1, y, 0.5, 9\/2, -12?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -253 by 32.\nAnswer: -253\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1205*r**3\/6 - 745*r**2 - 8*r + 16. What is the first derivative of m(h) wrt h?\nAnswer: -1205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 1538830?\nAnswer: 1538823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 227679. Let o(w) = 36*w. Give o(p(z)).\nAnswer: 108*z + 8196444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*4.9\nAnswer: 1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 u, and 1 m when four letters picked without replacement from {g: 2, w: 1, p: 3, f: 2, m: 4, u: 6}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24344791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*u + 160*u + 159*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**3*n - 2533*i**2*n**3 - 63475*n**3 wrt i?\nAnswer: -3*i**2*n - 5066*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 27. Determine q(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 193*n + 6994. Let d be j(-145). Let g be (-2756)\/(-9) - (-10)\/(-45). What is the highest common factor of g and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3433 and 13.\nAnswer: 44629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.11, -35\/2, -13, 24 in decreasing order.\nAnswer: 24, -7.11, -13, -35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980458*u**2 - 490222*u**2 - 490266*u**2.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/10 - 5304*z**2. Let n(o) = -3*o**2. Let g = 2 + -11. Give g*n(t) + 4*l(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 3*s = -12*x - 7, 0 = -3*x + s + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 953759498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25532 - -1353?\nAnswer: -24168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14314124 (base 7) to base 9.\nAnswer: 2474582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 18. Suppose -12 = 9*f - 10*f. What is the lowest common multiple of f and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1167506, 1167504, 1167500, 1167494, 1167486, 1167476, 1167464?\n\"Answer: -p**2 + p + 1167506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 9098730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 6*z - 1042*z**2 + 2231*z**2 - 1106*z**2. Let r(m) = 82*m**2 + 8*m. Let t(w) = 4*f(w) - 5*r(w). Let u(x) = -2*x**2. What is t(u(k))?\nAnswer: -312*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.92 - 0.92. Let m = i + -42. Which is the biggest value? (a) m (b) -0.5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c + 3)*(3 + 4 - 5)*(-845*c - 144 + 144).\nAnswer: 3380*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75\/11224 (b) 0.5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 399 - 395.66. Let n = 0.34 - z. Let d = -8.6 - -9. Put n, d, 5 in descending order.\nAnswer: 5, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110)*-2 - sqrt(110)) + sqrt(110))\/sqrt(11) - sqrt(10) - -2*sqrt(640))\/(sqrt(200)*5).\nAnswer: 7*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.18, -5, 2.\nAnswer: -5, 2, 7.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcii when four letters picked without replacement from cggrgrgrccorcorirrgi.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1886 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z + 5*z = 14*z + 3542. Solve 0 = 146*a - z*a - 56 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)*y\/y**(-15)*(y*y\/(((y*y\/(y*y\/((y**(-1)*y)\/y)))\/y)\/y))\/((y\/(y**13\/y))\/y) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-33))\/(-2)*197\/(-788).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85\/4 of a meter?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y + 41. Suppose -h = 5*m - 72 + y, m + 3*h = 15. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.419478 hours in days?\nAnswer: 0.01747825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q - q - 3*q)*(-5 - 1 + 2)*(-102*q - 120*q + 182*q).\nAnswer: 320*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 9*k**4 - 7*k**3 + k**2 + 7*k. Let b(o) = -4*o**4 + 4*o**3 - 4*o. Let z(q) = 5*b(q) + 2*g(q). Factor z(l).\nAnswer: -2*l*(l - 3)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 20. Solve -4 = 2*x - p*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1105 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124d (base 14) to base 9.\nAnswer: -4351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17846325 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b + 9*b + 14*b + b + 41*b.\nAnswer: 84*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70.1 + 70. Sort -33\/5, h, -4 in descending order.\nAnswer: h, -4, -33\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 - -0.1. Let q be (8 - 5)\/(0 - -6). Which is the third biggest value? (a) w (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -3 + 1\/4*r**2 + 1\/6*r**3 - r. What is c in i(c) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 11*s**2 - 5. Let x be o(11). Sort x, -4, 3.\nAnswer: x, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 3, -2\/3, -67?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(2*u**3 + 3*u**3 - 4*u**3) + (7*u - 26 + 26)*(u**2 + 3 - 3))*(-1254 + 34*u**2 + 1254).\nAnswer: 204*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 26. What is the remainder when f is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 k when three letters picked without replacement from mgkam?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*27\/315*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 428. Let a(y) = 1522*y. Let b(n) = 930*n. Let j(i) = -11*a(i) + 18*b(i). Calculate j(l(z)).\nAnswer: 4*z**2 + 856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*-1*-5 - ((sqrt(168) - (sqrt(168)*2 - sqrt(168))*-5) + sqrt(168)))\/(sqrt(42)\/(sqrt(63)*-3 + sqrt(7))))**2*2.\nAnswer: 14336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**5 - 2*c**4 - c**2 - c. Let t(g) = -2*g**5 - 10*g**4 + g**2 + 4*g + 21. Let h(d) = -o(d) - t(d). Find the second derivative of h(w) wrt w.\nAnswer: 20*w**3 + 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529 + 602 = -43*y + 443 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 9 - (-3 + 136). Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/4 - -1)\/(87\/58)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 6*h + 8*h - 17*h + 3*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(320) - (sqrt(320) + -1)) + -1)*-3)**2 + 5*((1*sqrt(2430))\/(sqrt(18)\/sqrt(3)*1))**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5*z**3*(z\/((z\/z**(-1))\/z))**(-3\/13))**(9\/7) assuming z is positive.\nAnswer: z**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Suppose -5*f + 0*q + k*q = 773, -f + 4*q = 169. Let n = f - -218. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 18. Suppose d = 3 - b. Find the first derivative of 16*f**2 - 4 + 20 + d wrt f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z + 45 + 9. Suppose z*m + 5*m = 2728. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-46)\/(-4) - (-22)\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b114 - 0?\nAnswer: -1b114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hththhhh. Give prob of picking 2 h.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + (39 - 32) + (6 - -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*t + 12. Let y(u) = 3*u - 6. Let h be y(t). Solve h = 4*n - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 6*h = -3. Let a(o) = 14*o**2 + o + 1. Calculate a(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 89757535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*j - 167*j - 299 = 0. Let z(v) = 2*v**2 + 6*v - 64. What is the remainder when z(-11) is divided by j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/4497 and -2\/69.\nAnswer: 103431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 55 - 39 = 0, -3*n - 3*v = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32 and 17.94?\nAnswer: -574.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 28633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 38289, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*p + 2*b - 19, 23 = 5*p + 3*b. Suppose -v + p*v = 24. Calculate the least common multiple of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 - 608*t + 1137*t - 577*t in the form b*t + j + d*t**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 24*p**2 + 3*p - 26. Does 22 divide a(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 2*t**3\/3 + 5*t**2\/2 + 4*t. What is the first derivative of d(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13288 - 1101. Suppose -j + 2232 = -55*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:38 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3447*j - 3 = 3451*j, 3*h - 4*j - 9 = 0. Determine p, given that -1\/6*p**5 + 1\/6*p**4 + 0*p**2 + 0*p + 1\/3*p**h + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 73*a**2 + 5. Let k(y) = 214*y**2 + y + 16. What is -7*g(z) + 2*k(z)?\nAnswer: -83*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 6*f - 6. Give t(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {k: 1, t: 1, v: 2, w: 1, o: 1, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) 586 (d) -3 (e) -4 (f) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 141*n + 4988. Give c(80).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 12*j - 24. Calculate q(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/(-4) + 141\/6 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909 by -171.\nAnswer: -101\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008756277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5*c - 32 + 1 = 0, -2*c - 6 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -845\/17, -30, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (5 - (-1 - 3) - (5 + 6 + -3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671117381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 136, 300, 466, 634, 804, 976?\n\"Answer: o**2 + 161*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*z + 18901 - 18841 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*c - 4150 + 837 = 0, 4*x + 3322 = 2*c. What is the hundreds digit of (7 - 26\/4)*(2 - x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/31, -3, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 471013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(36449\/8763)\/(-287)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1218*p**2 + 574*p wrt p.\nAnswer: -2436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:46 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41984372 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(18\/(-4)) - (-56)\/(-72). Let y be ((-2)\/(-1))\/(d\/2). Let c(v) = 2*v**2 + 2*v - 9. What is the lowest common multiple of 15 and c(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/36)\/(1*1\/(-9)). Suppose k = -n - 2, -3*n + 340 = 2*l. What is the greatest common factor of 48 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(-d**4 + 0*d + 0*d) - d**3 + 5*d**4 + d**3 + 6*d**4 - 2*d**4 - 2*d**4 + (-3*d**3 + 0*d**3 + 0*d**3)*(0*d + 0*d - 2*d).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1107 and 37\/984501?\nAnswer: 40364541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 801*l**3 + 3243*l**2 - 2439*l.\nAnswer: -3*l*(l - 3)*(l - 1)*(l + 271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*z = 27, z = -3*u + 3*z + 9. Suppose -492 = u*r - 6*r. Suppose 4*w - r = -4*o, 5*o - 455 = -2*w + 148. List the prime factors of o.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -700992 or -700935?\nAnswer: -700992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**3 + 22 + 50 + 29 + 23*f**3 - 1.\nAnswer: f**3 + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -5*j - 2*y, 0 = 2*y + 4. Suppose 0 = -2*w - 6, j*v - 2*w = -3*v + 2216. What are the prime factors of v?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 153.8178201us?\nAnswer: 0.00000000025432840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94\/67 + 6071\/268. Find the common denominator of p and -70\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5639, 10494, 15335, 20162?\nAnswer: 24975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/11 - 618*b**3\/11 - 1242*b**2\/11 - 622*b\/11 = 0. Calculate b.\nAnswer: -1, 0, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*j - 194 = 42. Solve -v = -i - i + j, -4*i = -v - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65726 rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*d**2 + 1 - 16*d - 131*d**2 + 16*d.\nAnswer: -210*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d - 7. Let v(h) = 6*h**2 + 32*h - 43. Let u(i) = 13*j(i) - 2*v(i). Let n = -2 + 2. What is u(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003225198263 to six decimal places.\nAnswer: 0.000323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-5) + 0 - (-1258)\/(-420))\/(1423\/5692).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1783499055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 5*s + 5. Suppose -10 = -2*j, 0 = -3*u - u - j + 25. Let r be l(u). Let d(w) = -4 - 2 + r - w + 0. Give d(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13410, -13392, -13366, -13338, -13314, -13300?\n\"Answer: -q**3 + 10*q**2 - 5*q - 13414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/7 - 7411977*i**2\/7 + 29647872*i\/7 - 29647860\/7.\nAnswer: 3*(i - 2470655)*(i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 22244*t - 133464. What is a(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 48, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 368*u + 733 + 371. Put 1\/36, -5, u, -1 in decreasing order.\nAnswer: 1\/36, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -420.00000706 + 420. Round c to 7 decimal places.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let p be j(6). Let f = p + 1. Let z(y) = -7*y - 3. What is the remainder when z(f) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-6)*(-45)\/12. Suppose 5*i = -20, 0*v = v + 5*i + j. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7985345 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/13 + 5576*h**2\/13 + 2633408*h\/13 - 817152 = 0?\nAnswer: -2184, -608, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 96*u**4\/7 - 28*u**3 - 26*u**2\/7 + 64*u\/7 + 8\/7 = 0?\nAnswer: -1\/2, -1\/8, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 492 + 30 = 0. Let f = j - 223. Solve -b + 5 = 3*s, -3*s + 2*b + 0 = -f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3430? (a) 15 (b) -2 (c) -4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 26*s**2 - 3 + 4 - 1.\nAnswer: 26*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/((-1)\/((-28)\/(-6))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-5 - (-7 - 5)) + -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 6:55 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l - 136*l + 5*l + 43*l + 43*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 25742269\nAnswer: -9\/25742269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*y**5\/9 + 8840*y**4\/9 + 59258*y**3 - 23899108*y**2\/9 + 23494694*y\/9 - 1946596\/3 = 0. What is y?\nAnswer: -1038, -97, 1\/2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2)\/8 + 1 + 3. Let a(i) be the second derivative of i + 0*i**2 + 0 + 0*i**3 + 1\/6*i**s. Let u(p) = 3*p. Calculate u(a(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 135671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*f = -24, 0 = -5*c + f + 12 + 15. What is the lowest common multiple of c and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 59 = 4*j - 5*j, -5*j + 255 = 5*q. Suppose m - 7 = j. Let b = m - 34. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -386*v + 385*v + 17 + 4. Let j be u(16). Which is the smallest value? (a) 2 (b) j (c) -2\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160766228 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 25, 4*h - 16 = -4*l + 56. Suppose 5*m - 42 = 3*m - 4*f, -2*f = -m + 21. Let y = m - h. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, -5*h - 7*i = -2*i. Suppose 34*z - 36*z + 640 = h. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = -16. Let p = -5 + -1. Let q be 3*z\/p + -2. Solve -r + 3 = -q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022422 (base 5) in base 10?\nAnswer: -32862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*y = 99, -5*s - 3*y = 204 - 53 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 164 + 7*h - 6*h as z + g*h and give z.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-10))\/5*-3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y - 6. Give f(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 8:06 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.986 + -6.2. Let p = j - 2.836. What is p rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7836309*k**4 - 2*k**2 - 1185872*k - 3 wrt k.\nAnswer: -188071416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028.3927 rounded to the nearest integer?\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 968718.3 years in decades?\nAnswer: 96871.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1216 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 103*o**3\/3 - 487*o**2\/2 - 6*o + 73. Find the first derivative of w(l) wrt l.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(12)\/sqrt(4) - (3 + sqrt(12))**2.\nAnswer: -21 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 12*k + 1. Let w(l) = -l**3 + 3*l**2 - 3*l - 15. Is w(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4437103?\nAnswer: 2\/4437103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3. Let x be g(-1). What is the second derivative of 2*k**3 - 10*k**5 + x*k**5 - 5*k**5 - 27*k wrt k?\nAnswer: -200*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h**2. Let i(k) = -4*k - 185627. Calculate i(c(t)).\nAnswer: 28*t**2 - 185627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2879*z + 92047 + 20913 = 55*z for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15750 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508 and 1108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-48) - (-5)\/4. Suppose -1 = -i + z. Suppose -5*v = -r - 4999995, r - i*v + 0*v = -4999997. What is r rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 1830*v**2 + 4*v - 3. Let y(j) = -7*j**3 + 7313*j**2 - 15*j + 11. What is 11*a(l) + 3*y(l)?\nAnswer: l**3 + 1809*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 39 + -47 + -50?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/2 + -23 + 20. Let y(j) be the second derivative of 0 + 2*j - 1\/9*j**3 - 1\/6*j**s - 1\/36*j**4. Factor y(x).\nAnswer: -(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -547*f**5\/20 - 293*f**2 - 3*f - 24. What is the derivative of n(m) wrt m?\nAnswer: -1641*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - p - 1. Suppose 2 = i - 2*t, -i + 4*i = 3*t - 9. Let u be (-1 - (1 + 0))*(-4)\/i. What is g(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rryyjjuyjjr. What is prob of sequence uyy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*x + 41 = c, x + 23 = 2*c. Suppose 3*q - c - 5 = 0. Let b be 2\/q - 4\/12. Solve j + j + 2 = b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 2*r + w, -4*w - 2 = -2*r + r. Let o(b) = b**3 - 13*b**2 - 15*b + 20. Let g be o(r). Suppose -c - 4*c - g = -l, 3*l - 3 = 0. Is c != -4\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.173 + -3.827. What is the closest to -2\/25 in 3, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 33 + 1\/4*t**3 + 3\/4*t**2 - 9\/4*t. Factor p(y).\nAnswer: 3*(y - 1)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/60 + 2*u**4\/3 - 7*u**3\/3 + u**2. Let v = -1055 - -1038. Let j be d(v). Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2648446815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67407108 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2299) + 2 + -1.\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17938*i + 59. What is the units digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -32, 1\/6, -44?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7)*f*f)\/f)**(-7)\/(f**(-1\/5)*f**(-2\/15)*f)*((f**2)**33)**(2\/19) assuming f is positive.\nAnswer: f**(73\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 317293 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-4))\/(1 + 0). Let n be (1\/6)\/(2\/3). Are n and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*p**3*s**2 + 3026*p**3*s + 125*p**3 + 2*p**2*s - 15596*s**2 wrt s.\nAnswer: 208*p**3 - 31192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -86. Let v = f + 59. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*o - 1688*k**3 - 6*k**2*o - 6*k**2 - k*o - 2*k wrt k.\nAnswer: 12*o - 10128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 187806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4044*t**4 + 42*t**3 - 24*t - 160636881?\nAnswer: 16176*t**3 + 126*t**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7585512 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 346309264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 10. Let f(n) = 2*n + 37 - 42 - 3*n. Let v = -8 - -3. Let u(z) = v*f(z) + 3*y(z). Calculate u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.020480247 and -32.94.\nAnswer: -32.919519753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5, 5*v + 0*d = 2*d + 20. Let t(r) = 25*r - 1. Let q(c) = -36*c + 2. Let w(g) = -5*q(g) - 7*t(g). Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a factor of 91748717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Suppose k = -3*q - 2*f - 1, -2*f - 10 = 5*q + 3*f. Suppose -3*p = -4*l, 2*l + 2*p = 6*p. Solve l = q*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 197*d**5 + 49*d**5 - 115*d**5 + d**5 + 3 - 3 + (-6*d**3 + 2*d**3 + 2*d**3)*(-d**2 - 1 + 1).\nAnswer: 134*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69471311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose 7*d - 2*d - 35 = h. Let a(j) = 2*j - 2. What is the remainder when a(7) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p + 11. Determine u(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -12. Let x be (0 + -1 - b)*4. What is the third derivative of -2*n**2 - n**4 + 3*n**4 + 3*n**x - 3*n**4 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118*l - 57*l + 41 - 91 - 59*l to the form j + b*l and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b*b*b**2*b)*b))**(-49)\/(b\/((b\/(b\/b**(-13\/2))*b*b)\/b)*b)**(-18) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94\/3 - -32. Let k be (-3864)\/324 + 12 - (-92)\/(-513). Which is the nearest to k? (a) 0.2 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2072 or -16567\/8?\nAnswer: -16567\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-66)\/(-9) + 4\/6. Let m = 38 + -38. Let x = m + c. Calculate the least common multiple of x and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 2, -5 in decreasing order.\nAnswer: 2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(272) - (-1 + sqrt(1377)).\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from ggbbbb.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 5:01 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -238602, -477202, -715802, -954402?\n\"Answer: -238600*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 104*h - 8 = 105*h, 0 = -2*i - 4*h - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405 - 352897.475817.\nAnswer: -352492.475817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*f**3 - 2*a**3*f + 928*a**3 + 2*a**2*f + 2*a**2 + 711*f**3 wrt a.\nAnswer: 12*f**3 - 12*f + 5568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3\/3 - 3214*k**2\/3 + 429872*k + 430944 = 0 for k.\nAnswer: -1, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3620 + -3622. Let r = -1 - 6. Sort 0.4, -0.06, u, r.\nAnswer: r, u, -0.06, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**2 + 1. Let j(n) = n**2 - 90*n + 90*n. Suppose -2*u + 16 = -2*r, 14*r = 18*r + 28. Determine u*t(h) - 5*j(h).\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u - 5*u**2 - 2\/3*u**3 + 0 + 5\/8*u**4. What is the tens digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111110 - 0?\nAnswer: 111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.59 + -18.59. Let l = 0.27 + 0.03. Which is the closest to -1? (a) y (b) -0.96 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -1 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 250923.9291 to the nearest one thousand.\nAnswer: 251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -2 - (-96 - -94).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 9*i**2 + i - 70. Give u(10).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180599840 by 2124704.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*z - z + 5*i, 0 = -5*z - i + 5. Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*u**3 + 16891 with respect to u.\nAnswer: -273*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/77624780 and 43\/20.\nAnswer: 77624780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 181264*t + 2053539856.\nAnswer: 4*(t + 22658)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 6, d: 4, m: 1}. What is prob of picking 1 m and 3 d?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 13. Let k be 5 - (-1 - (0 - 2)). Suppose 107 = k*f + 19. Calculate the remainder when z(-9) is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/16*(-60*16\/864)\/((-3)\/18).\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -11?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db8 - 4?\nAnswer: db4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 678.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28975 by 5140.\nAnswer: 5795\/1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5604 + 5604 + 223*b)*(-2*b**2 + 2*b - 2*b).\nAnswer: -446*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 1. Let q = 10 - 2. Let u = 11 - q. What is the biggest value in u, 0.3, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158541 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-154)\/(-33) + 1\/3. Which is the nearest to 4? (a) -4 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.84 - 94.16. Let v = y - -94.6. Sort -0.08, v, 0.3, 2.\nAnswer: v, -0.08, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3264\/(-9)*-3*(-29)\/(-2). Suppose 3*x = 15, -3*h + 5*x + 30672 = -d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17244 rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 c, and 1 t when three letters picked without replacement from {t: 4, c: 1, x: 2, q: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84263 + 3*s**3 - 84263.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 - (-31 - -20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81108, 161633, 242158?\n\"Answer: 80525*u + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 4 + -2*(sqrt(6) + (sqrt(120)\/sqrt(4))\/sqrt(5))\/((1*sqrt(14))\/sqrt(7))).\nAnswer: -18 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1076810081 to four dps.\nAnswer: -0.1077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-10)*8\/(-6). Let o be (-3)\/(-66)*-62 + 3. Let j = -42.5 + 43. Which is the second biggest value? (a) 3 (b) o (c) r (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1107*x**2 + 10*x + 9. Let n(s) = 277*s**2 - 2*s - 2. Give -9*n(b) - 2*v(b).\nAnswer: -279*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1600.1, -0.5, -2190?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**2 - 24*n. Let z(f) = -f**2 + 2*f. Let u(o) = k(o) + 12*z(o). Let s(v) = 3*v**2. Give s(u(q)).\nAnswer: 27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 m, and 1 h when four letters picked without replacement from gmmhhmgmhkk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 784*g**3 + 2*g**2 - 6*g + 4. Is 56 a factor of s(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 8. Let v(q) = -q**3 - 2*q**2 - q + 2. Let o be v(-2). What is the units digit of u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 80 (c) -85\/4 (d) -3\/8 (e) -99 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-273)\/(-9) + (15\/45)\/(3*3\/18)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(1 - 3) - 1. Let l(v) be the third derivative of v**5\/60 - 13*v**4\/24 + 6*v**3 + 33*v**2 - 2*v. Let o be l(8). Put h, o, 8, 3 in descending order.\nAnswer: 8, 3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from {d: 5, l: 1, u: 3, c: 4, w: 6, n: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let z = 2\/323 - 973\/646. Which is the second smallest value? (a) 3\/5 (b) -0.05 (c) z (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 2*x + 3*b, 2*x + 6 = -5*b + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27707\/132 + 831\/4. What is the common denominator of x and -36\/5?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9845368 weeks to minutes.\nAnswer: 9924.130944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40243 - 40239. Solve q*i = -12*i + 144 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 96710466, 193420936, 290131406?\n\"Answer: 96710470*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 63. Suppose 4*v - 3*l - 14 = 0, 0*l = -5*v + 2*l + s. Let z = 13 - v. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (8 - 16)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 6 (b) 23705 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, 2592, -0.2.\nAnswer: -9\/2, -0.2, 2592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8. Let p = -3 + i. Let x be (-6)\/(-2 + p\/(-8)). Solve -9 = x*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02718723 + 0.07218652. Let d = o - 0.045. What is d rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8979 - -184?\nAnswer: 9163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 6. Let o(j) = 6*j - 72. Let q(t) = -12*d(t) - o(t). Let l(g) = 3*g + 8. Determine l(q(f)).\nAnswer: 18*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 32. Let l be c(11). Suppose 0 = -l*t + 53 - 3. Solve 5*z + 11 = -p, 2*p + p + t*z = -13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*n = -45*n - 34*n - 168*n - 18526 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i - 28. What are the prime factors of z(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 - 2*n + 12. Let s be q(5). Differentiate 7*p - s - 52 + 76 wrt p.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989989 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 22, 2, -89 in decreasing order.\nAnswer: 22, 2, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50291317 - 3?\nAnswer: 50291314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-3)\/12*1. Let w = 3 - h. Find the first derivative of -1 - 2*z**2 + 3*z**2 + 0*z**w wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i - 14, -3*g = 5*i - 24. Let j(d) = -d**3 + 4*d**2 + 33 + 35 - 102 + 37 - 2*d. Calculate j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-220)*11*134\/5. Sort 2\/15, o, -1, 3\/4 in decreasing order.\nAnswer: o, 3\/4, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 156502 (b) -0.4 (c) -1 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - (-18)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6120019 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i**2 + 2. Let n be v(-2). Suppose -471 = -n*j + 3*y, -5*y - 1190 = j - 6*j. Calculate the highest common factor of 27 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3 - 3956*b**2 - 58496*b - 54544 = 0.\nAnswer: -974, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(91) + -5*((sqrt(91) + 2*sqrt(91) - sqrt(91)) + sqrt(91) - sqrt(91)))\/(-2*sqrt(7)*4).\nAnswer: -3 + 9*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*10\/1. Let z be (-3)\/l - (-28)\/(-20). Suppose -2*s - 2 = -0. Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**6\/30 + 5*c**3\/3 - 4*c. Find the second derivative of o(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 12*v**2 + 145*v - 2143. What is m(7)?\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -15539?\nAnswer: 65\/15539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 3\/10, 1\/9, -0.22, 2\/53, 0.02?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-2268) + (-712)\/(-42) + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 1\/5, 16.61, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*s, -2*b + 7*s + 15 = 4*s. Suppose -a = b - 65. Calculate the remainder when a is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 3*l + 2. Suppose -7 = 2*o + 25. Let p = o - -13. Calculate g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkd when four letters picked without replacement from kdkkkddkddkdk.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from gkokzgbgkgzkvkv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -0.2, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a decade in years?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.16, -0.03, -1, 0.3 in descending order.\nAnswer: 0.3, 0.1, -0.03, -0.16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 3*j + 40, 5*g - 355*j + 358*j - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 23*a**3 + a**2 + 47*a**3 - 26*a**3 - 43832 + a.\nAnswer: -2*a**3 - a**2 + a - 43832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5483.\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0 + 0 - 4*i + 8 - 8 + 2 - 2 - 2*i - i - i + i + (i - 3 + 3)*(2 - 3 + 0) + i + 31*i + 6*i)*(3 - 1 + 0)*(1 + 0 + 0).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 242 + -221. Sort d, -1, -2, -0.4 in increasing order.\nAnswer: -2, -1, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 6*v + v - 35, p + 2*v + 11 = 0. Let n be (-5 - -8) + p + 6\/8. Which is the second biggest value? (a) n (b) 0.1 (c) -2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, b: 1, x: 2, z: 1, y: 1}. Give prob of sequence yxm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 56 - 231 = 13 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 1 + -1 + 114 + (188 - 292).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 4*h - 5. Suppose -32 = -14*r + 38. Let j(p) = 3 + p - 1 - 14*p + 11*p. What is r*j(u) + 2*z(u)?\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**2 - 2*k**2 + 2*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 120) + -53 - -77?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 93354 * -0.06385\nAnswer: -5960.6529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-14))\/((-30)\/20)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 + 1. Let b be 6\/33 - (-92)\/(-22). Let j(h) = -h. Let p(v) = b*j(v) - a(v). What is the units digit of p(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 5*c = -w - 1604885, c - 1604897 = -5*w. Suppose -6*b + 7*b + 5*j + w = 0, 0 = -2*j + 8. Round b to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418 - 244. Suppose -2*m = -5*l - 16 + z, m + 63 = 2*l. Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533.7536 decades to years.\nAnswer: 5337.536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*n**2 + 1780*n**2 - 595*n**2 - 593*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/5 - 2\/5. Suppose -87 = -y*v + 144. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -63*k + 59*k + 4, -14 = k - 4*o. Which is the fourth biggest value? (a) 0 (b) 5\/8 (c) -0.2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3\/6*28\/(-70)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 2\/27*a**4 + 0*a**2 - 2*a + 1\/90*a**5 + 1\/9*a**3 + 0. Determine c so that s(c) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022668837 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 3*n - 2*n)*(-5 + 5 - 4).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 246610095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253.3 + 253.32134. Let n = -0.022 + y. Round n to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19de8 (base 15) to base 13.\nAnswer: 2c3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*z**2 - 8*z**2 + 635*z**2.\nAnswer: 1120*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.20562nm in centimeters?\nAnswer: 0.000000920562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17381102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 7. Let j(s) = 6*s - 15. Let a(x) = -2*j(x) - 5*q(x). Suppose -t - 40 = -267. Suppose t*z = 223*z + 24. Determine a(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 20. Let c(h) = h**3 + 6*h**2 + 5*h + 5. Let q be c(-5). Suppose -1 = -q*y + a. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/9 - 6\/9. Let z be k + -2 + -1 + 4. Let p(r) = 2*r**2 + 0 - 1 + z*r - 5*r. What is p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 104.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(288)*-2) - (sqrt(72) + 1*sqrt(72) + 1 + -1 + -1 + sqrt(72)))**2.\nAnswer: -2268*sqrt(2) + 52537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1a781e (base 15) to base 10\nAnswer: -1291079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x + 4*x)*(-35 + 28*x**3 + 35)*(3*x - 5*x + x)*(0 + 2 - 5).\nAnswer: 168*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 1\/28*i**4 + 9\/14*i**2 - 2 - 3*i - 2\/7*i**3. Let h(n) be the first derivative of u(n). What is w in h(w) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10420, -20814, -31208, -41602?\nAnswer: -51996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 1\/1. Let r be -2*(1 + g)*-1. Suppose 2*i = u - 12, -4*u + 52 = -r*u + 3*i. Solve 0 = 3*q + q - u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(11*p - 6*p + 10*p)*(0*p + 3*p - p) + 3*p**2 - 12*p**2 - 12*p**2 to j*p**2 + d + l*p and give j.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, -0.21, 1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + sqrt(91)*-2 - sqrt(91))*-6 + -5*-2*sqrt(91))\/(-5*3*sqrt(567)*1).\nAnswer: -22*sqrt(13)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75311 is divided by 173?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 20 + 10 + 20*z + 24*z + 26*z to the form f + o*z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1996 = -c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -94720*z**2 + 101. Let t(c) = -2*c. What is j(t(r))?\nAnswer: -378880*r**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 38.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**(-6\/5)*o**(-1)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-24))\/((-11)\/12). Let l = -104373.7 + 104374. Which is the second smallest value? (a) l (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 23*n + 120. Let y be c(15). Let s be 0 + y\/(-1) - -3*2. What is the highest common factor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131911 not equal to 131911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -625\/8 + 925\/2*y - 2663\/4*y**2 - 111\/2*y**3 - 9\/8*y**4.\nAnswer: -(y + 25)**2*(3*y - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 35*o**2 + 21*o + 632. What is t(36)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 + -87. What is the remainder when 44 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/45)\/((-4)\/((-144)\/(-6))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/18 + 606\/(-54) + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27760949 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 5*y - 8, -5*k - 8 = -4*k + 5*y + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27135051.87899899 - 27135052. Let g = q - -0.121. What is g rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*42\/(-23751)*-6\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 750*c**3 + 2*c + 756*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88004003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:10 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598, -2344, -5256, -9340, -14602?\nAnswer: -21048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 132.077. Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 80 + 20 = 0. Let v be 7\/3*15\/m - 2. Which is the third biggest value? (a) v (b) 4 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6971 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*o = 13, -2*o + 7*o - 20 = 0. Suppose -2*n - 72 = -184. Calculate the highest common divisor of k and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483 + 14*w - 15*w - 829 - 679.\nAnswer: -w - 1991","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 112851455 and 112851454 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i*i**0\/i*i)\/i)*i*i**(5\/3))\/((i**(-1\/3)*i)\/i*(i*i*i\/(i**(-4)\/i))\/i)*(i\/(i*i\/(i**(-7)*i)*i)*i**4)**40 assuming i is positive.\nAnswer: i**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 9588*h - 28728.\nAnswer: -4*(h - 2394)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.3757 minus -10518.9?\nAnswer: 10484.5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*r*x**2 + 18*b**3*r*x - 23958*b**3 - 15*b**2*r*x**2 - 5*b*r*x - 1000*b*x**2 - 2*r*x wrt b?\nAnswer: -12*r*x**2 + 108*r*x - 143748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702549876.\nAnswer: 2, 3, 7, 8363689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h + 9. Let d be x(-7). Suppose 2*z = -2*b - 10, 5*z + 25 = -d*b + 4*b. Suppose 5 = 477*c - 476*c. Solve b = -5*s + c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30842)\/(-34) + 4 + 840\/(-204) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-74)\/(-8) + 1\/(-4). Let a(t) = -t**3 + 48*t**2 - 133*t - 54. Let g be a(45). Calculate the greatest common factor of z and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 4, 2374 in decreasing order.\nAnswer: 2374, 4, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 47. Suppose 0 = 6*x + j + 75. Is -21 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l**2. Let m(w) be the third derivative of 0*w**3 + 0 + 0*w**4 + 0*w + 1\/60*w**5 - 21*w**2. Let k(u) = -f(u) - 18*m(u). Determine k(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1397*r - 1200. Calculate t(-1).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59953\/64440 - -1\/5370. Calculate the common denominator of c and -149\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j - 2*j + (6*j - 2*j - 3*j)*(11 + 5 + 8) + 82 + 258*j - 65 - 17.\nAnswer: 281*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 4*l**3)*(4*l + l - 3*l)*(0*l + 2*l - l) + (-2*l**2 + 5*l**2 + 0*l**2)*(-4*l**3 + 2*l**3 + 3*l**3).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76.78428 grams?\nAnswer: 76784.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z*z)\/z)**16\/(z**(9\/7)\/(z\/((z**2\/z)\/z))) assuming z is positive.\nAnswer: z**(-562\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 14 + 29)*(2*h - 2*h - 2*h - 1 - 2*h + 1 + (-h + h + h)*(-5 + 3 + 3) + 1 - h - 1 - 13 + 11 - 202*h + 0) in the form t + c*h and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 62044 and 64563 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-88)*(-1)\/(-20))\/((-4)\/(-40))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + 36*k**3 - 31*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62036*f**2 + 53873 wrt f.\nAnswer: -124072*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*r - 2004385 = -109*r - 74213. Is r a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Solve -4*w - g*d + 6 = 0, 3*w + 3*d = -0*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 5. Let w be n(4). Let s(z) = 2*z + z - 3 - 6 - z. Let o be s(w). Put 2, 1, o in decreasing order.\nAnswer: o, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + u**4 + 3*u**4)*(14 + 50 + 61)*(0 + 1 - 3).\nAnswer: -250*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26172.13 + 26063. Let k = 0.13 + r. Let y = k - -108.9. What is the second smallest value in -5, y, 4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 3?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/14)\/(((-102)\/(-36))\/17).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -810\/24643 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:30 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*q + 565*q - 151*q = 85*q - 80795 for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3. Let c be a(1). Suppose 0*p = p + 2, 2*y - 40696 = -4*p. Suppose -c*h - 72648 = y. What is h rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1268\/267865)\/(16\/40)?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, y: 4, o: 1, x: 1, f: 1, b: 1}. Give prob of sequence xo.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/80*(0 - -1))\/(3\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1920, 1924, 1930, 1938, 1948, 1960, 1974?\nAnswer: 1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = g. Suppose -27*w = -24*w - 9. Suppose 2*y + 12 = 6*y - 4*k, w = -k. What is the closest to y in 4\/5, -2, g?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 987*r - 363. Let i(j) = 536*j - 181. Let t(o) = -6*h(o) + 11*i(o). What is t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-6) + 1085\/(-7595) + 1102\/21\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8661954 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -512, -821, -1174, -1577, -2036, -2557?\nAnswer: -3146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-32006\nAnswer: -16003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6106115 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*o + 2*g, 0 = -3*g. Let k(y) = -y + 17. Let j be k(o). Solve 3*m + 5 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**6*f**(-6\/5)*(f\/f**1)**(-34) assuming f is positive.\nAnswer: f**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 2\/3, -3, 0.1126, -0.3?\nAnswer: 0.1126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1316974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805.8 times 4?\nAnswer: 15223.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-327)\/2 - (-2)\/4. Let w = b - -76. Let s = w - -125. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -181 + -27 + 110 - (2 - 30).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 2 = 0. Let r be (-2)\/1 + (z - -4). Let h = 15 - 11. Put -5, h, r in decreasing order.\nAnswer: h, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u - 1. Let b(o) = -o - 7. Let s be b(-13). Let q(p) = -p + 20. Let k be q(s). Let l(i) = -i + 13. Let y be l(k). What is g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4878 = -5*m - 4*y, 4*m - 2*y - 4866 = -m. Suppose -4*n + 4290 = -m. List the prime factors of n.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*4\/16 - (-15)\/(-16) and 29\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-22))\/((588\/10)\/((416\/65)\/8)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/206516130 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 20. Sort 0, u, -1\/8 in decreasing order.\nAnswer: u, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1846 = -18*l + 4274. Does 85 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5703 - -12104. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**2 - 19*t**2 + 36*t**2 + 24*t**2 - 38*t**2.\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -11. Suppose -25*q + 8 = -23*q. Calculate the remainder when n is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2266*z**4 - 4492*z**2 - 2*z + 2. Let u(i) = -i**5 - i**4 + i**2 - i + 1. Let a(m) = -t(m) + 2*u(m). Find the third derivative of a(k) wrt k.\nAnswer: -120*k**2 - 54432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 27*w**3 - 25*w**2 - 39*w + 24. Is a(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/5 and 5\/17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**3 - 5 - 7\/5*h**5 + 0*h + 0*h**4 + 0*h**2. What is the third derivative of q(f) wrt f?\nAnswer: -168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106136 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - v**3 + (22*v**3 - 9*v**3 - 6*v**3)*(-9 - 62 - 28).\nAnswer: -694*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0492+23345313587\nAnswer: 23345313586.9508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/20 + 178581\/190. Suppose 945*z - 20 = a*z. Solve 0 = 3*r - 2*c + 4*c + 22, -r = -z*c - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 8*d**2 - 7*d + 9. Let z = -1 + 10. Let x be c(z). Does 11 divide -2 + (x - (3 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 35. Is (-17408)\/(-18) + (-1)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, 2, -11 in decreasing order.\nAnswer: 5, 2, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) -8 (c) 0.37 (d) 5 (e) -0.2 (f) 2 (g) -18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 5. Let f be j(4). Suppose 7*d + f = 8. Suppose -4*o - 18 = 3*l, -3*l - 11*o - 18 = -10*o. Which is greater: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-30) - 11\/(-30). Let x = 125\/549 - 1\/183. Suppose 5*l - w - 16 = -4*w, 2*l + 6 = 5*w. Sort x, t, l in decreasing order.\nAnswer: l, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26205*g**4 - g**3 - 36806*g?\nAnswer: 314460*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7a82704 - -1?\nAnswer: 7a82705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229 - 225. Let r = -12.03 - -3.03. Which is the second biggest value? (a) r (b) v (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 1102871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -249*m + 246*m + 10, -4*l + 20 = 3*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.376114021 - 3.3761. Round b to 7 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16338, 0, -0.17, -2\/11 in decreasing order.\nAnswer: 0, -0.17, -2\/11, -16338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*s + 69 + 896 = 0, 0 = -2*g + 3*s + 386. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 778367679 - 778367679.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 78*b - 829. Let y be s(10). Let p(n) = -n**3 - 2*n**2 + 3*n - 8. Let v be p(-7). Let g = y + v. Is 24 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332 = 5*l - 4*l. Suppose 22*h = -14*h + l. What is the remainder when 103 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1834199 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -20. Suppose 0 = -j - 3*j + 3*b + 268, -335 = -5*j - u*b. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18064174.\nAnswer: 2, 19, 61, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182285\/34 + -5362. Find the common denominator of h and 6\/8*31\/(-4).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = -3*u. Let k(d) = 2*d + 5. Let h(n) = 3*n + 8. What is u*h(w) + 8*k(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97.894 - 7.176. What is p rounded to zero decimal places?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -285 + -6?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 5 = -c. Solve 0 = -2*l + 3*n + 7, -c = -4*l - 6*n + n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.223 + -0.123. Let t = -3.6 - y. Let s = 7.7 + t. Which is the biggest value? (a) -4 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*u = 34, -5*q = -7*u + 2*u + 40. Is 1\/17 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*u + 5*y, -3*u + y + 2 = -5. Solve -u*a = a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5\/5 + 32807*n**4\/5 + 98439*n**3\/5 - 295263*n**2\/5 - 177174*n = 0?\nAnswer: -3, 0, 3, 32810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 63. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255 - 120) + (4 - 73).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 220, 214, 208, 202?\n\"Answer: -6*j + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1608*(-1442)\/(-103824).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Solve f = -0*t + 2*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502766250 a multiple of 5250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + s + 150. Let f = 4 + 0. Suppose -h + s = f*h. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -25 - 35. Let i = -2 - q. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32723137313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5658 + 5656. What is the closest to -39 in x, -1\/3, -2\/5, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 1096*v**5\/3 + 689017*v**4 + 324869158*v**3 - 4446245*v**2\/3 = 0.\nAnswer: -943, 0, 5\/1096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 at most as big as 616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**3 - 4*g**3 - 6*g**3 - 7*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*j - 84*j = 3276 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238 - 14*o - 236 + 475 + 10*o + 95*o**2 to the form d*o**2 + a*o + c and give d.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {l: 1, n: 3, j: 3, p: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 296 - 345. Let m = -49.071 - h. What is m rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433.855 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.2, -162730, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 g when four letters picked without replacement from wbbbbbggwwbbwb.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - z = -5, 1 + 1 = 2*z. Let o(d) = d**3 + 5*d**2 + 3*d + 2. Let y be o(f). Suppose -5*v + 2*p = 5*p, -v + 3*p = -18. Solve v*u + y = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 89*u - 62. What is a(2)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3042 divided by 6\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 4431?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.67 + -0.21. Let z = -0.8 - u. Let o = z - 0.08000016. What is o rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 99, 115, 117, 111, 103, 99, 105?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*g*y**4 + 781*g*y**2 + 2*g*y + 499*g + 58*y - 1 wrt y.\nAnswer: 720*g*y**2 + 1562*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1548 (base 13) to base 10.\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35587310*x - 35587325*x - 76*x**2 + 71174635*x.\nAnswer: -76*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + o = -2*r + 24, 64*r - 61*r - 3*o + 4*o + 16 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 8*u**2 - 4*u - 20. Let j be (-4)\/(9\/36*-26 - -7). Calculate x(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k + 2. Let h(w) be the second derivative of -w**3\/3 - 6*w**2 - 4*w. Let z be h(-6). Suppose -f + z*b - 2*b = -10, -f = 5*b - 22. Give a(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u**2 - 117*u + 56. Let f be k(6). Which is greater: f or -169.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 24. Let k be z(-14). Let y be 1\/(-6) - 143\/k. Let u(a) = 0*a + a - a**3 + 11 - 8*a**y + a. Determine u(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 9, j: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 + 23*o**2 - 193*o**2 - 180 + 180.\nAnswer: -190*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 1)*(6*v**2 - 5*v**2 + 4*v**2).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 11 + 534*w - 537*w)*(3 - 1 + 0) to h + s*w and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -6*v**4 + 15*v**4 - 7*v**2 + 4*v**3 + 22*v**2 + 17*v**3 + 3*v = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m**3 + 3 + (-1 - 3 + 5)*(-2*m**2 + 2*m**2 - m**3) - 165*m + 165*m + 3*m**3)*(2*m**2 - 1 + 1).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1017, 1010, 997, 978, 953, 922, 885?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*h**4 - 98\/3 + 15\/2*h**2 - 28\/3*h + 7\/3*h**3 = 0 for h.\nAnswer: -7, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6955079?\nAnswer: 137, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5, -0.2, -16 in increasing order.\nAnswer: -16, -5, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 103*j - 122*j + 371*j - 19*j.\nAnswer: 127*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*l - 2*p + 7*p, -5*p - 3 = -2*l. Solve -118*r + 116*r + l = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*-1*15\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 71*t**3 - 193*t?\nAnswer: -12*t**2 + 426*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*h + 1, 9 = -3*l - 5*h - 2. Suppose -5*x + 4*k = -26, 42*k + 12 = 4*x + 41*k. Solve -l*s + x = 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2508 + -2512. Sort 0, -5, -1, w.\nAnswer: -5, w, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.29118 nanograms in grams?\nAnswer: 0.00000001929118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5336*m**2 + 1650838 - 73*m**3 + 4*m**5 - 4089738 + 4508*m**3 + 2277*m**3 - 308*m**4 - 575034*m - 148226*m = 0.\nAnswer: -5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rcpgrpgpgcppprppg.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7668912 by 6.\nAnswer: 1278152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284267 and 24?\nAnswer: 6822408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 4)*-257 - -1. Let o = 396 - l. What are the prime factors of o?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofmyfoyyoyyoyy. What is prob of picking 1 o and 1 y?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 7. Let g = -0.3 + -2.7. Sort 0.4, w, g in descending order.\nAnswer: 0.4, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*70\/(-273)*(-24)\/(-5))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 5 - 4 + 0 as f + m*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2299) - 3*(sqrt(2299) - (-2 + sqrt(2299))))*6 + -2 + (1 + -1 + sqrt(2299) - (3 + -1*sqrt(2299))))**2.\nAnswer: -7216*sqrt(19) + 148817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 5302.\nAnswer: 31812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (5 + (-2)\/4)*4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076663 rounded to four decimal places?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -365 (c) 4020\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 4.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 5. Let w(j) = 3*j + 14. Let v(c) = -16 + 6 + c + 2*c. Let l be v(6). Determine l*t(f) + 3*w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.17 (b) 2\/15 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1735*w. Let x(t) = 578375*t. Determine s(x(f)).\nAnswer: 1003480625*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)\/(k\/(k\/k**(-13))) assuming k is positive.\nAnswer: k**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1070 + 316*a**2 + 1070 + 2*a as k*a**2 + t + q*a and give k.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -436\/17, 3 in decreasing order.\nAnswer: 3, -0.4, -4, -436\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245 + -741. Let y = 719 + i. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221921224?\nAnswer: 2, 7, 29, 136651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343041*f + 4880 = 342980*f for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-8 - 0) + 6 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -13. Suppose -3 = 6*t - 39. Calculate the remainder when t is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-264)\/(-7))\/((-25432)\/(-32368))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:41 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365*a**2*g**2*y - a**2*g - 3*a - 146*g**2*y - 13381*g**2 + g with respect to y.\nAnswer: -365*a**2*g**2 - 146*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 54 + 18\/3 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291998535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + j)*(2*j - 3*j + 2*j) - 5*j**2 + 29*j**2 - j**2 + 3*j - 2*j**2 + 2*j**2 - 2*j**2.\nAnswer: 22*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 9 + 4 = 0. Is ((-217)\/(-35))\/(v\/(-5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - m - 15 - 19.\nAnswer: -m - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -482687, -965371, -1448059, -1930757, -2413471, -2896207, -3378971, -3861769?\nAnswer: -4344607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/((-6075)\/(-36)))\/(((-11390)\/25)\/(-17))\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58801061?\nAnswer: 11, 151, 35401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/7)\/k**(2\/9)*(((k**25\/k*k)\/k)\/k)**(26\/9) assuming k is positive.\nAnswer: k**(4154\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1432501*s**2 + s - 10. Let h(d) = -d - 2. Let o(x) = -3*h(x) + n(x). Let g be o(2). What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 5 - s - 5*s + 0. Let i(o) = -2*o - 2. What is 2*a(g) - 5*i(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 11, -5, 3, 0.\nAnswer: -5, 0, 3, 11, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 13*u - 16. Let w(l) = -l**3 + 5*l**2 - 4*l - 4. What is w(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403\/7 + -57. Which is the closest to 2\/7? (a) -4\/5 (b) w (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19151*x**6 - 7592*x**5 - 243466476*x**2.\nAnswer: -2298120*x**3 - 455520*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 204369, 408686, 612965, 817188, 1021337, 1225394, 1429341?\n\"Answer: -3*a**3 - a**2 + 204341*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -675851 in increasing order.\nAnswer: -675851, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9 - -6.9. Let d = -10.3 + 14.6. Let c = -0.3 + d. What is the second smallest value in f, c, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2\/11 + 32402466*i\/11 - 162012480\/11.\nAnswer: 6*(i - 5)*(i + 5400416)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.4 and 4.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*k + 25 = 2*k, 0 = -v + 3*k + 17. Let c be (308\/v)\/(-7) + 2. Let n = 10 + -14. Is n less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 - 6)*(2 - 1 + 2)*(3*j - 3*j - 3*j) to h*j + g and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 2*d + 4. Let z(y) = -7*y - 3. Let p(t) = 3*t + 1. Let b(o) = -5*p(o) - 2*z(o). Let c be b(-4). What are the prime factors of v(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + -0.42. Let s = 15 + -19. Which is the third biggest value? (a) -2 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/198896535 and -10\/173061.\nAnswer: 1392275745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 3*m**2 + 38*m + 37. Let r be v(5). Calculate the highest common divisor of 243 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2418980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 189*j + 4735. Let g be h(160). Let t(q) = -17*q - 5. Let a be t(-7). Let f be a\/(-4)*16\/(-12). What is the highest common factor of g and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-2)*(0 + 1\/1). Suppose -11*l + 17*l - 636 = u. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 11*c + 2. Let m be x(-6). Suppose 0 = m*n + 12 - 36. Differentiate -n - 8 - 2 - t - 15*t with respect to t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -64*z**3 + 20*z**2 + 265*z - 9. Let o(p) = 61*p**3 - 21*p**2 - 268*p + 10. Let x(j) = 3*a(j) + 2*o(j). What is the second derivative of x(c) wrt c?\nAnswer: -420*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 - 4*t. Let n = 157 - 161. Let k be p(n). Sort -4, -5, 6, k in decreasing order.\nAnswer: 6, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ab (base 13) to base 10\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4598)*-1 - sqrt(4598) - sqrt(4598) - -2*sqrt(1368))\/(sqrt(50)*-3*5).\nAnswer: 7*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 207 = 4*m, 0 = 3*m - k - 4*k - 138. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/8 + (-32)\/128. Does 10 divide -2*334\/b*1 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57035 or -57038?\nAnswer: -57035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 0. Let v = -129 - -97. Which is greater: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3078) + (sqrt(3078) - (sqrt(3078) + (sqrt(3078) - (sqrt(3078)*-1 - sqrt(3078))))*-3))\/((sqrt(96) + sqrt(96) + sqrt(96) + sqrt(96)*-1)\/sqrt(12)).\nAnswer: 63*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -6. Let c = -4\/67 + -42\/1541. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*u = -0*u + 12, 4*c - u = 5. Let y = -2475 + 2479. Let d = 10 - 7. Put y, -1, c, d in descending order.\nAnswer: y, d, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/42)\/((-2438)\/(-69) - 35). Let d = -1.1 + 6.1. What is the closest to t in d, 2\/11, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300873*u**2 - 265576*u wrt u.\nAnswer: 601746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71 - 69) + (8 + -2 + -4 - 3 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 625 (base 11) to base 6\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500 divided by 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888045671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -416, -460, -502, -542, -580, -616?\n\"Answer: a**2 - 47*a - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -3*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a - 2*c, 15 = -2*c + 5. Suppose -a*k + 0*k = -33. What is the highest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5 + 82*n**4 - 1174*n**3 - 6692*n**2 + 9815*n + 15250 = 0.\nAnswer: -5, -1, 2, 25, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + 13.61. What is the closest to -0.5 in 0.5, 0.3, v, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/5)\/((-2)\/(-10)). Let t(y) = y**3 + 6*y**2 + 3. Let i be t(k). Suppose i*b - 64 = -10. Calculate the remainder when 34 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1748 is divided by 308.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 6 = 0, 2 = -6*m + 5*m - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**2 - 4*c - 12. Let d(k) = 9*k**2 - 4*k - 10. Let s(g) = 7*d(g) - 6*u(g). Let a be s(2). Solve 2*f + 2*t = 12, -3*t - 4 = -4*f + a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 174332406 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*f, -5*c = -8*c + 2*f + 181. Solve -c*h + 104 = -35*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -460, -1831, -4116, -7315, -11428?\n\"Answer: -457*t**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - -0.3. Let w = 33.449 + -33.849. Put w, 0.04, r in ascending order.\nAnswer: r, w, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27459.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 1 + 2*u**3 - 5*u - 1\/4*u**4 + 2*u**2. Is 19 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-599)\/((-171)\/270 + 4\/30) is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -56, -81, -110, -143, -180?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-10) - 2\/(-5). Let q be (x\/5)\/((-6)\/(-280)). Let k(c) = -5*c - 2. Let y be k(-2). What is the highest common divisor of y and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11664, -1 in decreasing order.\nAnswer: 11664, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 1 - 1)*(-2*j - 3 + 3) + j**2 + 3*j - 3*j - 2*j**2 - 3*j**2 + 3*j**2 + (3*j - 1 + 1)*(1 - 1 - j) + 145*j + 12*j**2 - 145*j)*(-1 - 3 + 6).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 9. Let t(o) = o**2 + 2*o - 5. Let h be t(y). Solve -n + 3*n - h = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 + 12*g**2 + 4*g - 14. Let c(o) = 4*o**3 - 11*o**2 - 3*o + 14. Let w be 28\/(-35) - 3\/(-15)*-26. Let b(z) = w*c(z) - 5*s(z). Calculate b(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (-9 + 4 + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*a - f, f + 4 - 2 = 0. Which is smaller: a or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 3. Let p(u) = 12*u + 9. Determine 6*p(n) - 17*x(n).\nAnswer: 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 3\/7 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0*z + 2 - 3 + 4*z - 5*z. Let w(v) be the second derivative of v**3\/2 + v**2 + 2*v - 1. Give -5*u(r) - 3*w(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 3*o**2\/2 - 2*o + 1. Let j be g(2). Solve 3*b - j = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (5 + 1 - ((-33 - 6) + 38))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -2\/2046683, 2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12122, -7053, -1982, 3091?\nAnswer: 8166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -26. Let d be ((-2)\/3)\/((-105)\/l + 4). Let j be (-4)\/d*(-3)\/(-7). Which is the closest to -1? (a) j (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 5*h + 11. Let k be p(6). Are 5 and k non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 15*s**2 + 13*s - 21. Let q(n) = 60*n - 66*n - 108 + 118 - 7*n**2. Determine 13*q(k) + 6*t(k).\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (1 - 76)*(-13)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*a**2 + 682*a**2 + 1373*a**2 + 36*a**2.\nAnswer: 1809*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 66*f**4 - 318*f**3 + 194*f**2 + 840*f - 648 = 0. What is f?\nAnswer: -27, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*r = -1195*r + 594*r - 2*q - 4, -3*q - 5 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 156, -3, 4, -6 in ascending order.\nAnswer: -6, -3, 0, 1, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 460*y**2 + 4*y - 4. Let s(z) = 263121*z**2 + 2290*z - 2290. What is -4*s(v) + 2290*u(v)?\nAnswer: 916*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 236, 782, 1844, 3596, 6212?\nAnswer: 9866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 not equal to -158156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/13, -0.09, -0.126, -0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**2 + 2*p**2 + (-4*p + 2*p + 3*p)*(2 + 3*p - 2) + 0*p**2 - 3*p**2 + p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -192183031997 - 0.4?\nAnswer: -192183031997.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 123, 209, 313, 441, 599, 793, 1029?\n\"Answer: i**3 + 67*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.496 rounded to two dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/15 - (528\/600)\/(40\/4300).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 - 5*y - 15. Let w be n(10). Calculate the greatest common divisor of w and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3*14)\/(((-986)\/34)\/29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006743034 rounded to six dps?\nAnswer: -0.006743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 290?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -506, -890, -1260, -1616, -1958, -2286?\n\"Answer: 7*x**2 - 405*x - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -709*b + b**2 - 2*b**2 + 707*b + 39*b**3 - 1 as k*b**3 + q*b**2 + p*b + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 743405 and 2925.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 25533345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 763\/96 + -7\/96. Suppose y = 3831 - 19473. Let x = y - -250191\/16. What is the common denominator of n and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363129 is divided by 572.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**3 - 3*h**2 - h. Let o be k(-2). Let s = -24 - o. Let t = -57 + 147. What is the highest common factor of t and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 3. Let k(m) = -m - 2. Suppose -3*a + 4 = -5*a. Let c(p) = 3*p + 5. Let i = -12 + 5. Let x(q) = a*c(q) + i*k(q). Determine -4*j(d) - 3*x(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -18. Solve -v*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-884)\/170*10\/58)\/((-148)\/1147) + -7?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0093833 rounded to four decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 27\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a**3 - 28*a**3 + 3*a**3)*(-2 + 0 + 4)*(-200*a + 93*a - 103*a) to the form c*a**2 + u + r*a + s*a**3 + p*a**4 and give p.\nAnswer: 14700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.636312 grams to milligrams.\nAnswer: 8636.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608114118 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011000001010011 - 11101?\nAnswer: 10100011000000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:58 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z + 191*z - 11495 = -781*z - 6*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 576 + -128. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 38697696.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/18326 and -131\/294?\nAnswer: 54978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 531*i**2 - 7750*i - 5096. What is h(-516)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 13 - 7. Solve v*j = 3*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 69*p**2 + 2*p - 2. Let o be n(2). Suppose -2*z = 2*d + 2*d - o, z + 330 = 5*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -115, -163, -211, -259, -307?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2808 + 1395. Let o = -1413.000000749 - r. What is o rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13780960 to the nearest integer?\nAnswer: 3712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, o: 3, h: 6}. Give prob of sequence ooo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jgsysaj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 671, 3209, 7443, 13373?\nAnswer: 20999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159896 (base 12) to base 3.\nAnswer: -200202121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s + 202. Let z be d(-22). Solve -12*u + 7*u = 3*j - 10, -u + z = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*g, -2*b + 194*g + 6 = 191*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2\/9, 0.08, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/(((-10)\/(-35))\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 3*y**2 - 6*y - 8.\nAnswer: (y - 2)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1931, 1455, 979?\n\"Answer: -476*a + 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af9 + -a1?\nAnswer: 1a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1917726 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3 + 30*g**2*r + 3*g*r**3 + 1152*r**3 + 1 with respect to g.\nAnswer: 9*g**2 + 60*g*r + 3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txrx when four letters picked without replacement from rzztzzzzx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8737792 divided by -7168.\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-10)\/4)\/((-40)\/96) and 3083.\nAnswer: 18498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 68. Let g = -16 + 36. Calculate the least common multiple of c and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 158 + l - 3*l + 498.\nAnswer: -2*l + 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 20. Let d be (144\/6 - -2)*2\/x. Suppose 6*y - 40 = y. Is d <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 53, 77?\n\"Answer: 24*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**2 - 18*v**2 - 12*v**2 + 7*v**2 - 5. Let p(x) = 176*x**2 + 28. Let f(y) = 5*p(y) + 28*s(y). Let u(b) = -7689 - 2*b + 7689. Calculate u(f(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2 + -5 - (sqrt(5) + -2 + -5).\nAnswer: -sqrt(5) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1523*k**3 - 1522*k**3 + 28*k**2 + 48 + 27*k - 3 + k. What is s(-27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3077*j + 1714*j + 179916 for j.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46887493, 46887492, 46887491, 46887490, 46887489, 46887488?\n\"Answer: -w + 46887494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1632831 or 53?\nAnswer: 4\/1632831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - x - 627124, 3*o - 3*x + 0*x + 1881366 = 0. Let k = -328123 - o. What is k rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 658*l**3 + 5*l**2 - 2285*l + 14. Let d(o) = 660*o**3 + 4*o**2 - 2285*o + 12. Let c(r) = 7*d(r) - 6*i(r). What is the third derivative of c(p) wrt p?\nAnswer: 4032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*t**4 + 61*t**2 + 4*t + 318 wrt t.\nAnswer: -168*t**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4. Let q(o) be the third derivative of -o**4\/24 - 5*o**3\/6 - 4*o**2. Let l(r) = -6*p(r) + 5*q(r). List the prime factors of l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862662606 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 15, q: 3}. What is prob of sequence aaa?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3987*m**4 - 17*m**3 + 68995*m**2 + m wrt m.\nAnswer: -95688*m - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 400*i**4 - 6960*i**3 + 34756*i**2 - 38976*i + 12544 = 0?\nAnswer: 7\/10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3483 + 3997 = 1496*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1480.\nAnswer: -5920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.849672 grams?\nAnswer: 0.006849672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 205 (c) -6 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 36860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1696640 - 3*p**3 + p**2 - 1696640.\nAnswer: -3*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -13. Solve r - s = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 821449549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1309332245.\nAnswer: 5, 13, 733, 27481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 604873258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - 2*k. Let s(g) = -29*g. What is a(s(y))?\nAnswer: 5887*y**2 + 58*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 8*u**6\/15 - u**5\/4 - 313*u**4\/12 + 3*u - 87. Find the third derivative of c(w) wrt w.\nAnswer: 384*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, -0.5 in ascending order.\nAnswer: -0.5, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/5)\/(8\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -28*(-7)\/590 + 10\/(-25). Let y = v - -154\/531. Let -y*b**5 - 4\/9 - 2\/3*b + 4\/9*b**2 + 0*b**4 + 8\/9*b**3 = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = -15. Suppose -f*c + 0 - 11 = -4*o, -2*c + 11 = o. What is the smallest value in o, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * 0.133\nAnswer: 0.01862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1406 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1325 * -864609\nAnswer: 1145606925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 8*a + 7. Let t be k(-8). Suppose -3*c + 4 = -2*c. Suppose -c + t = z. Solve -h = -5*w - 5, z*h + 1 = -5*w - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43716 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.0971336 and 32081.\nAnswer: 32082.0971336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 11707*v - 11705*v - 18 = 0, -2*m = -2*v + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.02 (b) -4\/9 (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 29*y**2 - 142*y - 15. What is n(-11)?\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*5\/(-25))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210 + 0?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 77 = -82. Let h(f) = -f**2 + 3*f + 14. Calculate h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 29*f**2 - 4*f + 27. Let c(r) = 30*r**2 - 5*r + 28. Let g(l) = -4*c(l) + 5*t(l). Differentiate g(v) wrt v.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 8*k**2 + 6. Suppose -6*i + 47 = -1. Let y = 38 + -23. Calculate the remainder when y is divided by v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 3\/8 (c) -0.05614 (d) -0.04 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -7 - 6*k + 8\/3*k**3 - k**2. Let g(l) = 7*l**2 - 2*l - 5. Determine -6*g(n) + 5*u(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c - 13. Let g be r(-9). Let p = g - 1. Sort -3, 1, p in descending order.\nAnswer: 1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 207 - 213 + 400. Solve 25\/4*j**5 + 1 + 1\/4*j**x - 41\/4*j**3 + 4*j - 5\/4*j**4 = 0 for j.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 25 = 0, -2*i + 25 - 9 = -2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118384544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*c + 3*c**4 + 90501 - 12*c**2 - 90501 - 18*c**3.\nAnswer: 3*c*(c - 6)*(c - 2)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d - 12. Let m = -4.3898 - -3.3898. What is the third biggest value in -5, d, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 3 - -7 - (4 - -1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 2, k: 1, l: 8, o: 2}. Give prob of sequence ksb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2)\/sqrt(10)*-3)\/(-6*(sqrt(9) - sqrt(63)\/(-4*sqrt(7) - sqrt(7) - sqrt(7)))).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (4 - 6) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1837189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 149 + 86 = 2*k, 7*k + 128 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 2, v: 1, q: 1}. Give prob of picking 1 v and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffsv when four letters picked without replacement from ffsdfvssdssbs.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 6912?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2436360 by -395.\nAnswer: -6168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110777\/555100 - 284\/793. What is the common denominator of -8\/77 and l?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 957 - 859. Suppose -43*f - 12 = -a. Let 32\/3*z**f + 8\/3*z - 6*z**3 + 0 = 0. Calculate z.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 16 = 7*u. Suppose 5*o - 33 = -0*g - u*g, -3*o + 17 = 2*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.59?\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**4 + 6*s**3 + 5*s**2 - 4*s - 4. Let m(o) = 23*o**4 - 12*o**3 - 8*o**2 + 7*o + 10. Let d(q) = -2*m(q) - 5*y(q). Factor d(w).\nAnswer: 3*w*(w - 1)*(w + 1)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**4\/4 + 762*f**3 + 870966*f**2 + 981*f + 2. Factor k(y).\nAnswer: 3*(y + 762)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -54*d - 37. Suppose 10*x + 220 = -x. Is p(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 5861*y**5\/15 + 2*y**3\/3 + 7*y**2. Let a be v(3). Suppose -c = -2*c + a. Round c to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 3:35 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 22 = -5*t, 0*t + p = -4*t + 14. Solve -t*d - 23 = -3*s, -3*d - 1 = 2*s - s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.7 and -0.12.\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -81692*f - 50 + f**3 + 81692*f. Determine m(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13*z - 21. Let i be t(-10). Find the third derivative of 13*a**3 + i + 10 - 4*a**2 - 19 wrt a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - 5 - 5)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151522 - 614866 = 4137*o for o.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12766*s - 2805*s - 3083*s - 2.\nAnswer: -18654*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2973621*v - 169. Let b = 513 - 524. Let l be i(b). Round l to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29080 - 1220 = -12*v. Let q = 3711 - v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24655048.\nAnswer: 2, 11, 503, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47164559 divided by -3?\nAnswer: -47164559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -fc5d (base 16) to base 5\nAnswer: -4031410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0826667 or -17\/20?\nAnswer: -0.0826667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -379, -566, -751?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 20 = -2*n, -13 = -498*m + 494*m - 13*n for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 151 = -5*x, 3*x = 4*l - 263. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:20 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdhhudy. Give prob of picking 1 u, 1 h, 1 y, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 21.922 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59\/5 + 3459\/280. Calculate the common denominator of (70\/(-1000))\/((-14)\/315) and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -368*s - 132. What is the tens digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 12. Is 358\/y + (-5)\/(-30) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -5 (c) -0.3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 - 30427436*u - 30427440 = 0.\nAnswer: -1, 7606860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120077900?\nAnswer: 2, 5, 1200779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 97 = -f, -2*f = -2*a - 47 + 13. Let w be ((-576)\/15)\/4 + (a - -15). Is w < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255487066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -102023023210 (base 4) to base 13\nAnswer: -caa785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.6071208 - 38.6071. Let q = -1 - j. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 + -48. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-0.4617.\nAnswer: 0.013851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -143762 >= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6835907550 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 103. Suppose v*p = -269 + 2919. What is the greatest common divisor of 265 and p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*n - 158, s + 34 = 2*s - 5*n. Suppose -g = -s + 68. Let j(q) = -q**3 + 9*q**2 - 12*q + 4. Let o be j(8). Is o greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c**5 + 3*c**3 - c**2 - 20?\nAnswer: -780*c**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317.\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/13 (b) 157\/3 (c) -0.01 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - 300. Solve -4*o + n = 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 5*o - 2. What is n(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8895 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0 + 0)*(-106*h - 201*h + 84*h + (-3 + 3 + h)*(2 - 3 - 1) - 2*h + 4*h - 3*h - 9*h + 57 - 57).\nAnswer: -235*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n - 1 + 0)*(5*n - 4*n - 4*n)*(-n - 5 + 0 - 3).\nAnswer: -3*n**3 - 21*n**2 + 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1432 and 28?\nAnswer: 10024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -639*h + 635*h + 856. What is the remainder when h is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38024 divided by 392?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, 8, 23 in increasing order.\nAnswer: -3, 8, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7111*o + 23 = -l + 7116*o, 5*l + 2*o + 34 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 6. Let w(o) = o + 1. Let u be w(-1). Suppose u = g - 72 - 8. What is the greatest common divisor of g and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.5033 and -0.04?\nAnswer: 0.980132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -6\/79 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -58. Let x = d - -38. Suppose -x*w + 7 = -148. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 9) to base 4\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11976349 is divided by 2859?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15609 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: Let k = -1 + 0.3. Let t = k - 0.3. Let r(j) = -j**2 + 5*j + 4. Let w be r(6). Which is the second smallest value? (a) w (b) t (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -83 or -910\/11?\nAnswer: -910\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26313964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 11*b**2 + 129*b\/2 + 81.\nAnswer: -(b - 27)*(b + 2)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.756 - -7.4081. Let v = -0.350633 - p. Let x = v + 0.0025. Round x to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1166266.19 * 4\nAnswer: -4665064.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5253\/1310 - 21\/524. Let r = -31484 + 881667\/28. Find the common denominator of f and r.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w - 170 = 0. Suppose -2*i + 4*z + 26 = 0, 4*z = -4*i + 6 + w. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1191*t**4 + 21748*t - 21748*t)*((-3 - 1 + 5)*(-2 + 1 + 2) + 0 + 2 + 0 + 0 + 2 - 4)*(3 - 1 + 1).\nAnswer: -3573*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from ccccgcgcgcccccccccg?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/19048041 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -503508?\nAnswer: 503508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y - y + 0*y)*(-2 - y + 2) - y**2 - 2*y + 2*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4751, -9484, -14193, -18872, -23515, -28116, -32669, -37168?\n\"Answer: r**3 + 6*r**2 - 4758*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1339 + -1343. Let q = -1.1 + 1. Which is the nearest to q? (a) u (b) -1 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3570 = v + 4*v. Let h = v - 449. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/20926 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10564, 1, 2.\nAnswer: -10564, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4114*r. Let j(x) = -10*x**2 + 6*x. Let y(b) = 7*b**2 - 4*b. Let m(d) = -2*j(d) - 3*y(d). Calculate i(m(w)).\nAnswer: 4114*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31560 and 57860.\nAnswer: 347160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3833399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*z**3 - 1449*i*z**2 - 4*i*z + 55*z**3 - 3*z + 12108 wrt i.\nAnswer: 2*z**3 - 1449*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1008734 and 5014.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25857437*t*u**2 - 116*t*u - 21*t - 30*u + 11 wrt u?\nAnswer: -51714874*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10 + -13 + -28 - -33. Let u = 20 + -10. Let v be (-1 - -2)*(-5 + 0). Which is the second smallest value? (a) v (b) 0 (c) u (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 3*k + 1\/3*k**3 - 1\/5*k**5 + 0 + 0*k**2 + 0*k**4. Find the second derivative of t(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 + 143.5. Sort x, 3, 1 in decreasing order.\nAnswer: x, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 12*z**2 - 2*z - 8. Let i be ((-12)\/(-15))\/(2\/(-15)). Let d = -18 - i. Is m(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(((-14)\/4)\/((-245)\/70)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -16\/73, -2\/5, -2\/13, -2\/41, -1, -0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -327362 + 38?\nAnswer: -327325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 32*w**2 - 3*w - 69. Determine l(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 17*n - 46. Let u(t) = -12*t + 31. Let v(f) = 5*k(f) + 7*u(f). Let q = 231 + -218. Determine v(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 43 + 51)*(-3*p + 1 - 1) in the form i*p + x and give i.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-12) + -1 + 68\/51?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k + 124*k + 16*k + 190*k.\nAnswer: 316*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q - 27 + 27 - 2*q**3 - q to the form y + d*q**3 + c*q**2 + v*q and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*f = -s - 216*f - 17, -4*f - 37 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. Solve b = f - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3262 + 2723 = 4*l, -2*i = 5*l - 7491. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -286646, 4, 0.1 in descending order.\nAnswer: 4, 0.1, -1, -286646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/9 (b) 2\/169 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/7 - 3*n**2\/7 - 2*n\/7.\nAnswer: -n*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2028 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1325\/7 - -189. Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 959.543 - 960. What is k rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 5, c: 5}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/7, 0.4, 2926?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-58\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3857+1\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14082*b = 7614*b - 2495040 for b.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/52 - -5*126\/39. What is the common denominator of -13\/40 and ((-6)\/n)\/(45\/(-204))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**7\/175 + 2*z**6\/75 + z**5\/25 - z**3\/15 + 2*z**2 + 2*z. Let c(j) be the first derivative of r(j). Let c(s) = 0. What is s?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589220 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186 - -185. Let n be w\/(-4*7\/140). Solve 0 = n*j + 2*i + 14, -2*j + 0*i - 2*i = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184, 1097, 5316, 13949, 28472?\nAnswer: 50361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + -23 + (-2 - -4*1). Let h(f) = f**3 + 10*f**2 - 10*f + 16. Let r be h(d). Suppose -3*j - 5*n + 68 = -n, r*n = -j + 8. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -86. Let s = 63 - m. Suppose -5*d + s*c = 3*c - 7486, 0 = 4*d - 4*c - 6008. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 16203?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 109022 and 32?\nAnswer: 1744352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 188820450 a multiple of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/7)*j*j*j)\/((((j**(-4)*j)\/j)\/j*j)\/j*j))**(-24) assuming j is positive.\nAnswer: j**(-1488\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -y - 1, -3*q + 2*y + 16 = 0. Suppose -2*x = d - 11, 0 = 2*x - 2*d + 2 + q. Factor 12*u - x*u**2 + 0 + 0 - 12.\nAnswer: -3*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 26*-1*31. Is k\/8*2\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100660 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33512, 33510, 33508, 33506?\nAnswer: 33504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*z - 5*f + 40 = -10 + 320, 4*f + 216 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430\/7 > -204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 10. Calculate d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/28, -30, 1, -1, 0.5, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/(132\/12))\/(((-40)\/(-4))\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-2))\/(6\/8). Let r = g + 5. What is the second smallest value in -3\/2, -5\/2, r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/4 + 50847*n\/4 - 305514 = 0. Calculate n.\nAnswer: -16973, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -54, -0.2, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176699825 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-4\/33)*(d\/d**(2\/37))\/d*d assuming d is positive.\nAnswer: d**(2524\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 4. Let n(g) = 3*g**2 - 11. Let t(q) = 11*i(q) - 4*n(q). Let x(s) = 3*s**3 + 5*s**2 + 2. Let o be 9\/12 + 0 - 175\/100. What is o*x(w) - 5*t(w)?\nAnswer: -3*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((54\/4)\/3*(-22)\/(-66)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(833) + -2) - ((-1*sqrt(833) - sqrt(833))**2 + -1 - (1 + 2 + sqrt(833)))) + -4.\nAnswer: -3336 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.95044um to millimeters.\nAnswer: 0.08495044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 6) in base 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 15 = -m. Suppose 4*t + 1 = -z, -m*z - 2*t = 2*t - 27. Let r(l) = -l**3 + 6*l**2 + 9*l - 1. What is the remainder when 25 is divided by r(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31534045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28268, -56538, -84814, -113096, -141384?\n\"Answer: -3*z**2 - 28261*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -85. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4 - 3 = k, 2*k + 8 = -x. Suppose 0 = i + 2*z - 9, -10 = -2*i + z - x. Suppose i*g = 2*g + 33. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49059, 49110, 49237, 49476, 49863, 50434, 51225, 52272?\n\"Answer: 6*i**3 + 2*i**2 + 3*i + 49048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Factor -4*a**3 + a**4 + q*a**2 - 2*a**3 + 9*a**3.\nAnswer: a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/24)\/((-1)\/(-3)). Let u be 14*y\/(-8)*-1. Let d = u + 24. Calculate the remainder when 65 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -73 in increasing order.\nAnswer: -73, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2474.352 nanoseconds?\nAnswer: 0.002474352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -2) + 3 - -4) + 16 + -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62170500 and 16926.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6486082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 7*d + 7. Let b(x) = -x - 1. Let a = -17 - -3. Let s be ((-2)\/6)\/((-3)\/99). Let j be a\/77 - 20\/s. What is j*o(p) - 14*b(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -2, -0.2, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 40 (c) 238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-336)\/(-144) - 8\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31\/741 + 2\/57. Which is the nearest to -1\/2? (a) p (b) -1\/4 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/55360 and 149\/12?\nAnswer: 166080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 912 and 768?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 12752408?\nAnswer: -15\/12752408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b - 4*b)*(0 - 3 + 6) + 4*b + 5 - 5.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4330998 or 4330997?\nAnswer: 4330998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-70))\/((-2)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n**3 + 12*n**2 - 155*n + 3. List the prime factors of u(10).\nAnswer: 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -451*v**3 + 41*v**4 + 451*v**3 + (0*v**2 + 0*v**2 + 3*v**3)*(0 + 2*v + 0) + (-3*v**2 + 6*v**2 + 2*v**2)*(0 + 1 - 4)*(2 - 3*v**2 - 2).\nAnswer: 92*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*w**3 + 67*k*w**2 + 75*k*w + 22*k - w**3 - 66657*w - 1 wrt k?\nAnswer: w**3 + 67*w**2 + 75*w + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 11:13 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286.169 + -286. Let d = -0.168907 + n. Round d to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3500051 and 2619.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/18960 and -83\/480.\nAnswer: 37920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 394747 + 112849.608.\nAnswer: 507596.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/(-512)*(264\/(-99))\/((-2)\/(-39))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 31. Suppose h = 3*b - 14 - 1. Solve -g + b*x = 3*g - 20, 2*x + 8 = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z + 16*z - 2 - 7 + 9. Let b(l) = -4*l. Give b(n(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:33 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08702993184416 minus -5?\nAnswer: 4.91297006815584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 3. Suppose 2*j + 5*a - 2*a = 11, -14 = -2*j - b*a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -90*d**2 - 3*d - 1. Let l be i(7). Let x = 44231\/10 + l. Find the common denominator of (-1314)\/140 - 4\/(-14) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*l = 4*z + 98499996, 39400008 = -2*z + 4*l. What is z rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151.95*-4.16\nAnswer: -632.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -52. Let a(i) = -26*i - 2. Let k be a(x). Solve -3*b - b - 2*j + k = 0, 5*b - 40 = -5*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74999\/18 - -4162. Let o = 2\/1283 - -178301\/23094. What is the common denominator of o and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8159 - 8155. Solve 7*l - u = 6*l, -d*l = -u + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9541733 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 24429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c002459 - 3?\nAnswer: 3c002456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172 and 0.1234833?\nAnswer: -21.2391276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 1268 = 0. Let o be q\/(-7) - 18\/63. Suppose s = 14 + 1. Calculate the greatest common factor of o and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2786, -4988, -7192, -9398, -11606, -13816?\n\"Answer: -c**2 - 2199*c - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose 5*i = r*i + 4. Differentiate -1 + 2*d**2 - 4*d**i + 3*d**2 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 0, -8, -20, -36, -56, -80?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.2475 less than 737538?\nAnswer: 737593.2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -267742 to the nearest one thousand.\nAnswer: -268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -13. Suppose 143*r - 35 = 68*r + 68*r. What is the remainder when w is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, 58.\nAnswer: 1, 14, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3904*g - 1488. Is s(12) a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2)*(-3 + 2). Suppose -1 = -4*n - 2*p + 5, b = 4*n + 5*p - 3. Calculate the highest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*n**4 - 400*n**3 - 980*n**2 - 480*n = 0. Calculate n.\nAnswer: -24, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 65\/(-7)) + (-4)\/14. Let a be 1 - ((-192)\/9 - (-2)\/x). Let i(w) = w**3 - 23*w**2 + 22*w + 4. Calculate the remainder when 12 is divided by i(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 464077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85938.\nAnswer: 2, 3, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4552236 by 548.\nAnswer: -8307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (9 - 2)) + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 2*k**2 + k + 7. Let j be o(0). Suppose -5*d - 278 = -j*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-75)\/4)\/(2\/(-8)) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 510, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/20 - 41*d**2. Let z(j) = -3*j**2. Determine x(z(m)).\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -33*x + 383696 - 383696. Let v(s) = 108*s**2. Determine v(r(y)).\nAnswer: 117612*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1677, 468, 5 in descending order.\nAnswer: 1677, 468, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -11, -14?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/9*-12*-6. Suppose q = 5*d - w, -2*q + 0*q = d - 12. Solve 7*p = d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 4*o = 1306800. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let m(s) be the first derivative of 11094*s**2 - 2463. Give m(w(h)).\nAnswer: 44376*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 1, e: 1, x: 1}. Give prob of picking 1 x and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -385*k + 1033*k - 1 + 2 + 0. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:39 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 2.1.\nAnswer: -90.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19871.\nAnswer: 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + 1. Let o(x) = -2*x**3 - 4*x**2 + 6*x - 1. Let c(z) = -d(z) - o(z). Factor c(w).\nAnswer: 3*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 3868\nAnswer: 773.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 0.34. Let g = -1\/13 - -29\/39. Let s = 1\/6 - g. What is the closest to s in 0, r, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*c - 2*c + 24. Factor 44*m + 57*m**2 - 62*m**c - 19*m.\nAnswer: -5*m*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0205 - 18.78002.\nAnswer: -18.75952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11260543*h**5 - 160*h**2 + 98897*h wrt h.\nAnswer: -675632580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 444\/9 - ((-6)\/9)\/(-2). What is the highest common factor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:28 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (256\/80)\/((-2)\/(-10)). Suppose -21*c = -s*c - 5. Let p be 14\/6 - (4 - c). What is the nearest to 1\/2 in -0.12, p, 3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s + 36. Let m = 35 + -13. Let z be o(m). Suppose 2*i = -2*g + z, -2*g + 93 = i + g. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75*i - 98*i + 51*i)*(0 - 1 + 3)*(2 - 2 + 1) to the form x*i + r and give x.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + 1. Let u(k) = 15 - 10 + k**3 - 9*k + 12 - 14*k**2. Let c(v) = 2*r(v) - u(v). Is c(-12) 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 -2\/3, -6, 3\/737, -2?\nAnswer: 3\/737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.505 to two decimal places.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2609510 is divided by 16621?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 31. Let o be l(7). Suppose o = -25*m + 26*m. Suppose -4*f + 4*p + 118 = -2*f, -m*p + 181 = 4*f. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-574)\/(-630) - 1)*-1*10\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000436162616 to 7 decimal places.\nAnswer: 0.0004362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39d8d - 1?\nAnswer: -39d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -230*r + 113*r - 14*r**2 - 22*r**3 + 120*r in the form j + h*r + t*r**3 + l*r**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30.85*-22.7.\nAnswer: -700.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - 5147035020\nAnswer: -5147035020.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171) + 1 + (0 + sqrt(171))*-4)**2 - 3*(2*sqrt(171) - sqrt(171))*1.\nAnswer: -81*sqrt(19) + 1555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + m - 2*m + (3 + 1 - 3)*(5 - 2*m - 5) + 0 + 0 - 2*m + 2*m - 2*m + m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 789 - 1240. Calculate the remainder when 14\/21 + -1 + k\/(-3) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4050 = 14*r - 1390. Let u = -177 - r. Solve -8 = 3*j + 5*h + 13, 3*h + u = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0) + (2 - -14). Suppose -7*t = -3*t + j. Find the common denominator of (-234)\/(-10)*t\/(-48) and 61\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:14 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (-1 - (7 + -13)) - 1*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/4 + -1 - -4. Let d = -6 - -10. Suppose 3 + 1 = b + 2*s, -4*s = -d*b + 4. Does q = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -12, -17?\n\"Answer: -5*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 1112904?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 11*x**2 + 488*x - 59. Give a(28).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.999996. What is y rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185159 smaller than 2\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/12*-19).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*h - 6*h + 9840. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 40*r**3 - 144*r**2 - 224*r - 128.\nAnswer: -4*(r + 2)**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605836?\nAnswer: 2, 233, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.3478 or -12.7?\nAnswer: -12.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6981, 27922, 62823, 111690, 174529, 251346, 342147?\nAnswer: 446938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 g, and 2 b when four letters picked without replacement from {h: 12, b: 6, g: 1}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2249\/3 - 24674\/33. Let b = -92740\/56661 - -2\/5151. Let q = b + a. Put -2, 1\/4, q in decreasing order.\nAnswer: q, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30970\/89 + -348. Is x > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9638*x**4 + x - 1581 wrt x?\nAnswer: 115656*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**5\/5 - 3*u**4\/2 - u**3\/3 - 29*u**2\/2 - 96. What is the third derivative of w(b) wrt b?\nAnswer: 48*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhse when four letters picked without replacement from sewhb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by ((17 - 14) + (-97)\/(-3))\/((-10)\/(-15))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:28 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/30 and 1124\/3934 + (-1 - (-9558)\/11480)?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuyuuuyuu. Give prob of picking 2 y and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/3 - 11128*v**3\/3 - 5012028*v**2 + 1240585528*v\/3 - 1225538314\/3 = 0.\nAnswer: -2821, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000073229 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5861*s - 3323188. Determine y(567).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -3*f**6\/140 - 4*f**5\/35 - 13*f**4\/84 - 2*f**3\/21 + 15*f**2 + 37. Let g(a) be the second derivative of b(a). Factor g(c).\nAnswer: -2*(c + 2)*(3*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fnfnffffnnnnf?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00649653 - 1.50650323. Let j = -1.5 - x. What is j rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n. Let g(l) = -13*l. Determine g(t(d)).\nAnswer: -169*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26304226 - -1556?\nAnswer: 26306115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44038446611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383.6905m to kilometers.\nAnswer: 0.3836905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 58 + 2 = 0. Solve 2*s = -4*t + 30, 0 = -3*t - 3*s - u + 38 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/20)\/((a*a**(-12\/11)\/a*a)\/a))**10 assuming a is positive.\nAnswer: a**(251\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2.4. Suppose 0 = -188*p + 215*p + 81. What is the fourth smallest value in h, 0, p, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) 13 (c) 2396 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/20*-6)\/(198\/(-165))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*t**3 + 65*t**3 + 51*t**3 + 28 + 41*t**3 + 57*t**3 - t in the form h*t**2 + s*t + j*t**3 + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24547688 and 105809.\nAnswer: 24547688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -386214818 minus -761?\nAnswer: -386214057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 4*z - 16, -11*z + 161*z - 2*v + 8 = 84*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (-2 + -1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 7:31 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) 3.02 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.4. Let b be 4*(-1 + -2 - -2). Let t be (b\/30)\/1*3. What is the closest to t in m, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:46 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0046283, 1, -1\/3 in decreasing order.\nAnswer: 1, 0.0046283, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 35*z - 22. Let b be r(24). Let c = b + -115. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*m**3 + 28*m**3 - 10*m**3 - 2*m**2 - m**4 + 1 - 2*m as c*m + k*m**2 + j + q*m**4 + r*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(4\/9)*k)\/k*k**(-1\/10))\/((k\/(k*k**14*k))\/(k**(3\/8)\/k)) assuming k is positive.\nAnswer: k**(5339\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -160074782 at least -160074780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -662.6 + 495. Let u = 150 + h. Round u to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.734 - -19.334. Put 0.2, 4\/9, s, 105, -4 in increasing order.\nAnswer: -4, s, 0.2, 4\/9, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73526806.\nAnswer: 2, 36763403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*f + 5*i + 27, -5*f + i = 0. What is the nearest to f in 0.3, 1\/2, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 907294.611941 - 566324.5719456. Let u = n - 340970. Let l = 0.04 - u. Round l to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 15*y - 51. Give c(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2884183 rounded to the nearest one thousand?\nAnswer: 2884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6116632\/101 less than or equal to -60562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 324, -17, -4 in increasing order.\nAnswer: -17, -4, -0.09, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/10 - 3263*l\/10 + 62868\/5 = 0.\nAnswer: 39, 3224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3295 = 24*z + 2791 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 6:45 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.12184 times -0.3\nAnswer: 0.036552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (76\/(-16))\/1 + 1\/(-4). Suppose q + 5 = -0*s - s, -s + 25 = -5*q. Put s, 3, -1, v in descending order.\nAnswer: 3, s, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.409667 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 886328869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = -3*x + 39, 0 = -5*x + w + 49. Suppose -5*p - x = -t, 5*t + 8 = -p + 1. Are p and -5\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 11 - 36 = 0. Put -2, 1, q in increasing order.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1731.361l to millilitres.\nAnswer: 1731361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -3*z + 5*z. Let l be 8\/z - 4\/22. Is l < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 35 = 5*l. Suppose -l*n - 149314777 = -579636907. Suppose n = 6*o - 15925410. Round o to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2622170600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5111962, -5111963, -5111964, -5111965, -5111966, -5111967?\n\"Answer: -g - 5111961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 + 137 + 1006)*(0*d + 5*d - 2*d) to the form g*d + a and give g.\nAnswer: 3654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6*-3*(-50)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 + 1110101?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*p + 556*p + 87*p + 38*p to the form i + f*p and give f.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 7*t**2 + t - 13. Let r be m(7). Let x be ((-4)\/((-48)\/r))\/(1\/(-8)). Suppose 4*d - x = 8. Calculate the remainder when 8 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 7*h + 16. Let m be g(8). Suppose 4*c = -2*l + 36, c = m*l - 3*l - 2. Which is greater: c or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23*u**2 + 318*u - 764. Calculate j(13).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -196. Which is the nearest to 2? (a) m (b) -0.06 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - (-5)\/4. Let a = -3 - u. Let q(g) = g. Let p be q(2). Sort 6, p, a in increasing order.\nAnswer: a, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 18. Let a(f) = 37*f**2. Give a(u(j)).\nAnswer: 592*j**2 - 5328*j + 11988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15200172.937 - -15182094. Let s = b + 18128.936962. Let a = 50 - s. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**3 + 7413792*w**2 - 27024*w + 1101 wrt w?\nAnswer: -30*w + 14827584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/28*(-28)\/42. Which is the third biggest value? (a) w (b) 0.1 (c) -153\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 531 = -3*i + g, 0 = 5*i - g - 692. Is 4 - (0 - i\/3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*u + 9*u. Let h be (0 + u - 217)\/(-2). Suppose -3*i - 5*d = -h, -5*d = 6*i - 4*i - 76. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 9980?\nAnswer: 69860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 2 = 2*d. Let j be 8\/(-14)*(-49)\/d. Let g = 14 + -9. What is the smallest value in 1\/3, j, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 3*p**3 + 4 + (-3*p - p + 2*p)*(-4 + 4 + p**2) + 23*p**3 - 44*p**3 - 41*p**3.\nAnswer: -67*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 - 27333*v**2 + 27333*v**2.\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*r + 5*d - 3*d, 0 = -4*r - d - 14. Let y be (12\/(-9))\/r*12. Solve g + 0*g + n + 5 = 0, -2*n = -5*g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 835136*c**2 - 73*c + 207 wrt c.\nAnswer: 1670272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d - 43. Let f be w(9). Let a = 124\/9 - 226\/9. Let b = a + f. What is the nearest to b in 0.1, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21384.894 - 21292. Let f = j - 93. Let s = 5.594 - f. Round s to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 15 - 9) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 165\/198*(0 - 1)*-3. Let f(q) be the first derivative of m*q**2 - 5*q + 3 - 1\/3*q**3. Calculate f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21808388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**4 + 126*r**4 - 2*r - r**2 - 89*r**4 in the form b + m*r + z*r**4 + d*r**3 + a*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by 5838.\nAnswer: -296\/2919","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1440, -667, 616, 2403, 4688, 7465, 10728, 14471?\nAnswer: 18688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 22. Let v(d) = -d - 1. Let z(f) = -a(f) + 3*v(f). Let t(r) = -r - 7. Let o(m) = 8*t(m) + 3*z(m). Let y = 3 + -10. Give o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/60 - f**4\/6 - f**3\/6 + f**2. Let o be l(4). Let m be (-4)\/(-6)*o\/3. Is -2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 17*o**4\/4 + 32*o + 24. Differentiate n(s) wrt s.\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**4 + 14*m**3\/13 + 2*m**2\/13 + 9. Find y such that w(y) = 0.\nAnswer: -1\/4, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6552 and 11208?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 218*z + 1 - 181*z - 2 + 8*z - 9*z - 27*z - z + z + z + (1 - 2 + 0)*(2*z + z - 4*z) + z - 1 + 1.\nAnswer: 12*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from fygygiofgkf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.44817 or -10?\nAnswer: -2.44817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmcrcrrmmrkmmkrcrrc. Give prob of sequence km.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h\/h**4)\/(h\/(h\/h**(-2\/9))*(h\/(h*h**0))\/h) assuming h is positive.\nAnswer: h**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 7*q**2 - 7*q - 1. Let k be g(-6). Suppose -4*n - 525 = -5*x + n, 2*x + k*n - 196 = 0. What are the prime factors of x?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 74 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111 (base 2) to base 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = c + 44, -462 = 5*c - 3*h - 426 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219.72 - 219.82. What is the nearest to d in 24, -20, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -843, -1096, -1347, -1596?\n\"Answer: i**2 - 256*i - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61067989\/181165 - -194\/9535. Let j = -337 + q. Which is the second smallest value? (a) -4\/7 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7000\/3 + -14003\/6. What is the fifth smallest value in z, -4\/5, -2, 10, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/654 and ((-646)\/133)\/((-15696)\/105)?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -16*k - 641. What is v(-13)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -45. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 11 = -2*a, 0*f = -3*a + 2*f - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7588.172901 from -5.7.\nAnswer: 7582.472901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68004*v**4 + v**2 + 746*v + 61 wrt v?\nAnswer: 816048*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 > 6027\/338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*f + 2 + (5 + 10 - 10)*(0*f - f - f)*(-2 + 1 + 3 + (1 - 1 - 1)*(4 - 3 + 0)) - f + 7*f + f as g + b*f and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1890 and 23694984?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.073 + 0.073. Let m = t + 0.5. What is the nearest to 2 in -1, m, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3629*o - 10995*o + 3620*o + 3789*o.\nAnswer: 43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 182?\nAnswer: 54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 26*l**3\/3 - 30*l**2 + 50*l\/3 + 500\/3.\nAnswer: -2*(l - 2)*(l + 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2119*d**3 - 6*d**2 - 3*d. Let l(y) = -714104*y**3 - 2024*y**2 - 1012*y. What is -3*l(h) + 1012*m(h)?\nAnswer: -2116*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and (2\/(-3)*3)\/((-2)\/4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 58. What is the nearest to 0.2 in q, -0.4, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(3267) + sqrt(3267))\/sqrt(9).\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 2*n + 14. Let o(x) = -4*x**2 + 5*x - 28. Let i(m) = 5*b(m) + 2*o(m). Let c(p) = p**2 + 5. Let j = 1193 - 1207. Calculate j*c(f) + 5*i(f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpppxpppjppppxp. Give prob of sequence xb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.9 - -16.9. Let i = 181 - 181.2. What is the closest to i in 3, -1, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngq when three letters picked without replacement from nnngnnnnnnnqn?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(7\/4)*n*(n\/(n\/n**(1\/23)))\/n)\/(n*n*n\/n**24*((n*n\/n**(-2\/107))\/n)\/n) assuming n is positive.\nAnswer: n**(224195\/9844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115424001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3762695 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 88\/48) + (1 - 5). Let p(x) be the third derivative of -10*x**2 + 0 + 0*x**4 + 0*x + 1\/30*x**5 - n*x**3. Differentiate p(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - 2 - (-94)\/(-12) - 0 and -3\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -300, -450, -600?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g**3 + 5*g**2 - 5*g. Let i(o) = 3*o**3 - 2*o**2 + 2*o. Let x = 13792 + -13797. Let r be ((-4)\/10)\/(2\/10). Determine r*m(u) + x*i(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 21060 = -7*c + 35*c. Calculate the highest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1703, 3402, 5093, 6776, 8451?\n\"Answer: -4*l**2 + 1711*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4\/12)*33. Let d(w) = -15*w + l*w - 16*w. Let n(h) = -6*h. What is n(d(f))?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - v - 2. Let a be o(-1). What is the greatest common factor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 109915 divided by -65?\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**5 + g**3 - 2. Let q(h) = 2*h**6 - 12*h**5 + 4*h**3 - 81*h**2 - 8. Let p(w) = 4*c(w) - q(w). Find the third derivative of p(j) wrt j.\nAnswer: -240*j**3 + 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.01 (c) 0.1 (d) -33.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 16*r)*(4 - 3 + 0)*(-101 + 47 - 98 - 70).\nAnswer: 3552*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2 (c) 1 (d) 2\/7 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1143\/232375 - -6\/845. Let a = n - -85223\/12375. Calculate the common denominator of a and -17\/321.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*p + 525, 4*p + 0*p + 5*q = 701. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 - (-2)\/4. Suppose p = -4*f - 13 - 23. What is the tens digit of (2 + (3 - f))*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (-3)\/(-1))\/(-1). Let n be (-3)\/((-3)\/(-2) - h). Let c be (-134)\/n + (-4)\/12. Solve 0*i - 10 = 2*i, 5*i + c = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -56. Suppose -4*i - i - n = 0. Let g = i + 16. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-1932)*23*-42?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 152*i**2 - 178*i - 209. Determine y(77).\nAnswer: -2057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174875280 + 903095399\/5. Let y = p + -1091927237\/190. Let c = -3186 - y. What is the common denominator of 5\/22 and c?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 4*s**3\/3 - 3471. Let k(u) = 3*u + 148. Determine m(k(a)).\nAnswer: 36*a**2 + 3552*a + 87616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4+440\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 4*k**2 - 12)*(-5 + 1 + 2)*((2*k + 0 + 0)*(0 + 4 - 2) - 5 + k + 5)*(3*k**2 + 2*k**2 - 2*k**2).\nAnswer: 120*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2, 276, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 11. Let l(r) = -r - 1. Let y(v) = l(v) - p(v). Let m be y(-8). Let t = -4 + m. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*a = -3, 0 = -2*t - a - 3*a - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1 + (3 - 54574)). Suppose f = 22*n + 6*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 9*h**2 - 9*h + 14. Let m be s(-10). Suppose 3*p = a + 2, -m*a + 8 = -5*p + p. Solve 4*o + 12 = p*o + 4*b, -1 = -b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**4 - 8*o + 8*o)*(2*o - o + 7*o).\nAnswer: -56*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235 divided by -247.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1320397 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294083 = 76*t - 2487137. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.1 - 4640163395.24.\nAnswer: -4640163378.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5458 - 5455. What is the closest to 2 in 4, -0.02, y, 31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 7*z + 3*z)*(-1 + 2 + 0) - 884*z - 23620 + 23620.\nAnswer: -876*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 5, c: 4}. Give prob of sequence ccf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 4*v - 1. Let r be u(2). Let i(o) = 0 - 3 + 0 - o. Let a be i(-6). Solve -c + r = f, -f = -a + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 9. Let p = 0 - h. Put -0.2, 0, p in descending order.\nAnswer: p, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67704 and 35061.\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b*b\/(b*b**17\/b))))\/b**1)\/(b\/(b*b**(-2\/7))*b**(-16)) assuming b is positive.\nAnswer: b**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*u + 45, -n + 2*u + 0 = -12. Let p be 4\/n + 492\/(-30). Let m = p + 17. What is the highest common divisor of 9 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317053 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, 7, -3, -11092 in descending order.\nAnswer: 156, 7, -3, -11092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/5 - 7*d\/5 + 18\/5.\nAnswer: -(d - 2)*(d + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k + 218 = 2*z, -5*z + 5*k + 470 = 0. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003146404 to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (37 - -3 - 3) + 2. Let b = -2 - -2. Suppose 3*j = 3*a + m, -4*a = -b*a + 20. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/439?\nAnswer: 2\/439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v + 84*v - 17*v - 6*v**3 - 13*v**2 + 3*v**3.\nAnswer: -3*v**3 - 13*v**2 + 113*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/52 and 47\/98980375.\nAnswer: 395921500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let h(g) = -277*g**2. Calculate -h(d) - 3*x(d).\nAnswer: 283*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/260 + -1\/20. Let v = 11.1 + -10.8. What is the biggest value in 3, v, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**2*n**2 + 5334*g**2 - g*n**3 - 4668572*n**3 wrt g?\nAnswer: -6*g*n**2 + 10668*g - n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9556 by -9556.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1395, 95.\nAnswer: 2, 95, 1395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 16*r**2 + 14*r - 21. Let k be i(12). Let n = 950 + k. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - (-1)\/((-9)\/(-9)). Calculate the highest common divisor of 6 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 30*x - 58*x + 8 + 29*x. Let l be s(-8). Suppose 5*j + 1 + 24 = l. Let n(d) = -2*d**2 - 7*d + 2. Give n(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/96 - (-19)\/108)*3. Let r = -65 - -197\/3. Let d = -1.9 - 1.1. What is the nearest to k in r, 1, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323365 divided by -35\nAnswer: -9239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 726 - 70425\/97. Let v = 179\/485 - w. Which is the third biggest value? (a) -2 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sorsssossssjs. Give prob of picking 1 r and 1 s.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 9*a - 18. Let k be s(9). Suppose -1844 - k = -4*n + j, 5*n - 5*j - 2500 = 0. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8)\/(((-5)\/(-4))\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s\/s**11*s)\/s))\/(((s*s*s**(4\/21))\/s*s)\/s) assuming s is positive.\nAnswer: s**(185\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 5*x + 8, 6 + 7 = 3*b + 4*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2241 = 2*h, 11*h = 16*h + 5*o - 5640. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 354452402 + -5?\nAnswer: 354452353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -42, 23, 14, 3 in ascending order.\nAnswer: -42, 3, 6, 14, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -x. Let s = -29 + 141. Suppose 2*w + x*t - 81 = 0, -7*t - s = -3*w - 2*t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*n + 78*n = 234. What is the remainder when 16\/20*(n - -2) is divided by 1*1\/((-2)\/(-68))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 397 - 20*o - 825 + 412 in the form f*o + q and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*a - 1242*a + 25298 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 5*y**2 + 3*y**2)*(6*y - y + y + y - 2 + 2 + (-1 - 3 + 2)*(2*y + 4 - 4) - 4*y - 2*y + 7*y + 3*y - 5*y + 0*y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -2, 3\/2, 14376?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 34*t**2 + 114*t + 152. Calculate a(-37).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 13*o + 10. Let j be u(10). Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b + 35. Let r(z) = 20*z - 151. Let w(i) = 9*d(i) + 2*r(i). What is w(13)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + -49 + 131 - -73?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/((i\/(i*i**(-7)))\/i)*(i*(i*i**(2\/11))\/i)\/(i\/(i**(-1\/5)*i)))\/(((i\/i**(-3))\/(i\/i**(1\/9)))\/(i**(2\/11)\/i**(2\/5))) assuming i is positive.\nAnswer: i**(-6112\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3323 = -z - 5*n + 4807, 3*z - 24378 = -3*n. Does 119 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -195a64 (base 15) in base 4?\nAnswer: -10231110223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/6 - -2)*3. Suppose -4 = 3*m - 1. Let w be (-1)\/(-1) + y + m. Do w and 1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2*-6 - (sqrt(8) + 1 + sqrt(8))**2.\nAnswer: -33 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/13)\/3*(-127)\/((-3937)\/(-62))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -93 and -167 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19948 to the nearest 100.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5858916 - -49.5858156. Let c = -8 + -39. Let z = c + i. Round z to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and 0.16?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-20604)\/(-109888)*896\/(-6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - q - 26. Let k be g(17). Suppose -158 = -7*y + k. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, -5, 64, 5.\nAnswer: -5, 0, 5, 15, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1876207000 to the nearest 1000000.\nAnswer: 1876000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 3*l)*(-97 - 288 - 69 - 263)*(-25 + 5 - 30).\nAnswer: -71700*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**8\/1680 + f**4\/8 - 7*f**3\/6 + 4*f**2. Let g(s) be the first derivative of i(s). Differentiate g(h) wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s + 198. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine fifths of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-2\/39)*h**(-2\/45)\/h*h\/h**(-15) assuming h is positive.\nAnswer: h**(8629\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 2*s**3 + 7*s**2 - 20*s + 12.\nAnswer: -(s - 2)**2*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 324568460*w + 369939657 wrt w.\nAnswer: 324568460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 + 9*x + 332. What is t(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 453 + ((-16)\/2)\/2. Suppose 4*j - o + 133 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 202, 201, 200, 199, 198, 197?\n\"Answer: -s + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/2, 1\/4 in descending order.\nAnswer: 5\/2, 1\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 89 - 13. Let g = -348 + 188. Let m = g - -293. What is the greatest common factor of f and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185774 divided by 3203.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075543053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 218, 245, 288, 353, 446?\n\"Answer: p**3 + 2*p**2 + 14*p + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/2)\/((-3)\/6). Suppose i = 5*y + x, i - 15 - 4 = -3*y. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-54)\/4)*(3\/19 - 17384\/8056)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -112270.\nAnswer: 22454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 s when three letters picked without replacement from oosooooooososooooo?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 710 + -698. Let g be -4 - 0\/((-6)\/(-2)). Is 672 - (g\/((-16)\/h) + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x**2 + 9*x**2 + 4*x**2.\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41946*t + 11370 wrt t?\nAnswer: 41946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/10)\/(2580\/(-8600)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74600507 minus -4.5?\nAnswer: -74600502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 5*y - 20*y + (-2 + 2 - y)*(-2 + 2 + 1) + 3*y - y - 3*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -77 + 149 + -130.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 6*o. Let a(f) = 8*f**2 + 17*f. Calculate 6*a(i) + 17*j(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 796270445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -837109, -1674242, -2511375, -3348508?\n\"Answer: -837133*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 28. Suppose 4*k = 2*k + 2*n + 24, n = 3*k - 38. Let m be s(k). Let f(l) = l**3 + 5*l**2 - 15*l - 4. Let x be f(-7). Solve 2*z - m = -x*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/19 - 20*s**3\/19 - 2752*s**2\/19 - 39936*s\/19 - 147456\/19 = 0. Calculate s.\nAnswer: -16, -6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 50910\/105)*-70*800. What is q rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -19*(-3 - (1 - 2)). Suppose c = 4*h - 2*a, -3*h = -2*h - 5*a - 32. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 23*r = 4. Let i be -4*(2 - (r + (3 - 5))). Suppose -114 = 19*h - 13*h. Are h and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k + 399 = 91 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -916 - -921. Solve -o*m + 6 = -4*z - 16, -z - 5 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430410.606 rounded to the nearest 10?\nAnswer: -430410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15181 is divided by 733.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 20*i - 67. Let y be n(-3). Let p = -116 + 120.9. Let r = p + -5. Sort -2\/19, y, r, -0.4 in descending order.\nAnswer: y, r, -2\/19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 j when three letters picked without replacement from {j: 3, x: 2, m: 2, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22081 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 833 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:05 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m + 66*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4305 - -196.2\nAnswer: -4108.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -212200?\nAnswer: -212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 29. Let y(b) = -132*b - 41. Is y(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 3*t**2 + 2*t + 2. Let c be b(-3). Let j be 52\/(-65) - c\/5. Suppose -l + x + 32 = 0, j*x - x + 5 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -487 + -205a?\nAnswer: -2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13.8. Let v = 0.5 + -2.5. What is the third smallest value in b, -2\/13, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8 + (-1)\/4. Suppose 0 = i - 6*i - 3*s + 14, -5*i - 2*s + 11 = r. Let t = 727 - 731. Which is the closest to i? (a) 0.5 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 12. Let w = 397 - 393. Suppose -w*f - 6 + 13 = -3*k, -2*f = -k - 3. What is the smallest common multiple of f and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204242 is divided by 869?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + 26\/(-6). Let t be d*(0 + 1\/(-6)). Sort -2\/21, -5, t in descending order.\nAnswer: t, -2\/21, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d\/d**3*(d*d**1*d*d)**(-8\/13))\/(d**(-5)*(d\/(d*((d*d*d*d**(-3\/7))\/d)\/d)*d)\/d*d\/d**(-1\/2)*d*d**6) assuming d is positive.\nAnswer: d**(-71\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*n - 25*x - 67 + 201, -12*n + 8*n - 5*x + 0*x + 69 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cb0 + -5?\nAnswer: 2caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(175) + 3 + 3*sqrt(175))**2 + 5.\nAnswer: 120*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 0 + (-50 - -31 - -30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -319320.6 and 0.\nAnswer: -319320.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 0*i - i**4 - 4 - 1 to the form a*i**4 + p*i**3 + t*i + m + q*i**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c*l**2*p**3 + 72*c*l**2*p + 3*c*l*p**4 + 2*c*p**2 + 4*l**2*p**3 + 4*l*p**2 wrt p?\nAnswer: 78*c*l**2 + 72*c*l*p + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2*c + 0*c)*(0*c - 3 - c + 15) to j*c**2 + z + t*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6135.\nAnswer: 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 28*l**2 + 30*l + 48. Let o = 403 + -234. What is the remainder when o is divided by i(-29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s*s**(1\/7)*s))*s)\/s)\/s*s)**40*(s**12*s)\/(s*s**(-3\/4)) assuming s is positive.\nAnswer: s**(2757\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 704.458 minus -0.2486?\nAnswer: 704.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2619214 and -5.51.\nAnswer: 2619208.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 959010094*r**3 - r**2 + 569*r + 34398 wrt r.\nAnswer: 5754060564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 + 16.05. Let z = k + -52. Let s = z - -36.4. What is the second biggest value in -1, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14253 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936005?\nAnswer: 5, 7, 47, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxmbmbbbbxbx. Give prob of picking 1 x and 1 b.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*p = 41, 0*p + 43 = 5*j + 2*p. Let d = -4 - -21. What is the remainder when d is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30160 divided by -5.\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 5*y - 60, 57 = 3*d - 15992*y + 15996*y for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/3, 0.9, 123, 37\/4, 0.3 in decreasing order.\nAnswer: 123, 37\/4, 0.9, 2\/3, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -21.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18\/167 + -4301\/1169. Let l = 27\/7 + h. Which is the closest to 6? (a) l (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-2)\/(-6)). Let a be (-4)\/j*3\/(-8). Let h = -1483781\/7418955 + -2\/1483791. Put h, a, 2\/19 in decreasing order.\nAnswer: 2\/19, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55526 and 2.\nAnswer: 111052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -2*j - 0*j. Let u = j - -64. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.331977mm?\nAnswer: 0.000000331977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12309*c**2 - 24632*c**2 + 12296*c**2.\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48955?\nAnswer: 5, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -34\/28486537 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*((sqrt(77) - (sqrt(77)*-3 + sqrt(77))) + sqrt(77)) + sqrt(77))\/((sqrt(28)*3)\/sqrt(4)))**2.\nAnswer: 2695\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 254*y - 24425. Calculate q(-142).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 14 - 1 = 5*a, -4*a = b - 14. Suppose 0 = i + a*i - 40. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479088 and 759665.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010239 to seven dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 42 = i, -8*x + 9*x - 2*i = 31. Solve -3*j + 29 = -5*n, -n + 3*n = 5*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 419440 and 12840?\nAnswer: 1258320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7330.\nAnswer: 2, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23779\/2 - -11890. Which is the third biggest value? (a) 35\/34 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*-3*sqrt(66))\/sqrt(6))**2 - (-4 + -2 + sqrt(396) + 2 + sqrt(396))**2.\nAnswer: -3976 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, -849, 54.\nAnswer: -849, -3, 0, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-10)*(-425)\/20 + -4. Put 2\/29, 7, -0.4, c in decreasing order.\nAnswer: 7, c, 2\/29, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyycyyiiymmcm. What is prob of picking 2 y and 2 m?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c - 30 = -44*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547, 677, 807, 937, 1067?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (52 + -9) - (-21 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 104. Let c be (k + 2)*(-20)\/(-120). Is -8.4 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 2:35 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 - 7 = 0. Suppose -3*n = 3*g - 21, -2*n + 0 = -4*g - r. Suppose g*j - 933 = -5*b - 118, -2*b + 326 = -4*j. What are the prime factors of b?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 97850.36 decades?\nAnswer: 11742043.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -326 (base 9) to base 14\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44558*c**4 - 170*c**2 - c - 66097023 wrt c?\nAnswer: 178232*c**3 - 340*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126008 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91 * 0.3.\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 823 and 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40354, -40356, -40358, -40360, -40362, -40364?\nAnswer: -40366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4128*k**2 - 6*k - 10. Let c be h(-7). Let r = -3261323\/16 - c. Let f = r - -1591. Calculate the common denominator of f and -29\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*c*j + 1261593*b*j**2 - b - c*j**2 - 367271*j**2 - 3*j wrt b?\nAnswer: -2*c*j + 1261593*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*v**2 - v - 19*v**2 + 15*v**2)*(-7 + 2 - 1)*(v + 2 - 2) as u + b*v + o*v**3 + r*v**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5608 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.01, 1, -3, -2, -2\/35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 + -1.1. Let g = 120 + 36. Let w = g + -151. Which is the fourth biggest value? (a) w (b) y (c) 2\/9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 435, 426, 403, 360, 291, 190?\n\"Answer: -i**3 - i**2 + i + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 767*g**2 + 12*g + 13. Let p = 851 - 852. Does 16 divide a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4284, 2\/10279 in decreasing order.\nAnswer: 0.5, 2\/10279, -4284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 1384, 3115, 5538?\nAnswer: 8653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658176177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 - (8 + 1 + 3 + -5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 + (-9064)\/(-198))*(-9)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k + 13. Let a be l(3). Find the second derivative of -1617*j**4 + 1688*j**4 + a*j - 2 - 2*j wrt j.\nAnswer: 852*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -549 in 9, -0.5, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 8*k**2 + 5*k + 71. Let n be r(-7). Let l be 11\/22 + n\/14. Let w = 5 + -6. Which is the biggest value? (a) 0.1 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 12 = 0, 2*q - 8 = -3*k. Let t(h) = h**3 + 5*h**2 + h - 4. Let o be t(-4). Let b = k + o. What is the least common multiple of b and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 8*r - 1. Let y be k(-9). Let h = y + -33. Let z = 45 + h. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -27*x**3 + 3*x**2 - 21*x + 21. Calculate m(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 211354097.\nAnswer: -4\/211354097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*m - 2*s, -4*s + 6 + 6 = -4*m. Suppose 18*f + 4*f - 7260 = m. List the prime factors of f.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1773\/8274)\/((-8)\/924*9).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -38158.5171 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1153, -1085, -1017, -949?\n\"Answer: 68*m - 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*u**2 + 44\/3*u - 1\/9*u**3 + 136\/9.\nAnswer: -(u - 34)*(u + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48058 is divided by 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.65. Let r = 0.35 - h. Which is the third smallest value? (a) r (b) -3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422085.\nAnswer: 3, 5, 19, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/8)\/(186\/248).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1600 = 7*x. Let p be 2\/14 - x\/(-280). Is p greater than or equal to 60\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 27*l + 4 - 51*l + 25*l - 4. Let h(m) be the third derivative of -m**4\/6 + m**2. Give h(o(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -11 - 121. Let a be (4\/6)\/((-11)\/r). Let q = a - -8. Solve -t = t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -0.11 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 63 = 8*r - r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422795972, 422795973, 422795974, 422795975?\nAnswer: 422795976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56696453*u + 16542211 wrt u?\nAnswer: 56696453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -48, 18 in increasing order.\nAnswer: -48, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3428\/13 + 69899\/260. What is the common denominator of -93\/10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 19*h**2 - 18*h. Let n be k(18). Suppose 5*r - 10 = 2*j - n, 11 = 4*r - j. Solve -2 + r = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 285.572 + -191.553. Let g = k + -94. Which is the third biggest value? (a) -4 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 - 3*k**3 + 764*k**2. Determine a(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j + j - j)*(-18*j - 29*j + 38*j).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 37, 23 in increasing order.\nAnswer: -6, -3, 23, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -6 in ascending order.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 1. Let i = 3316 + -3324. Let w(q) be the first derivative of 11*q**2\/2 - 3*q - 1. What is i*g(d) + 3*w(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*q - 6*q + q)*(-1 + 3 - 1) - q - 3*q + 3*q)*(-2 + 5 + 3).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 762025?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1868*q**4 + q**5 - 4 + 9 + 1867*q**4 + 2*q**2 wrt q?\nAnswer: 60*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 160 = -3*u, 3*l + 98 = -0*u + 2*u. Let s be (-4)\/24*-3*4. Let f be u\/(-13) - 6599998*s. What is f rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -604 - -603. What is the nearest to g in 0, 0.16, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 41. Let r = x + -17. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9323\/621 + (27940\/2921)\/(-110) - (-6)\/81.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-3 - 0)) + 34 + -37?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 - -115 - ((-10 - 1) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6983 + -13979\/90779. Let b = 4 - 0. Let f = 6 - b. Sort 5, l, f in increasing order.\nAnswer: l, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4071 - -5174540\/1271. Let o = z - 7\/41. Suppose 6 = -w - p - 0*p, 4*p = -5*w - 25. What is the closest to w in o, -3\/2, 2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 777*y - 13 = -773*y, -5 = -j + 2*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15 - 61\/(-5). Let m be (-2)\/(-3*2\/6). Suppose 5*k = 5*p - 5, p + m*p - 7 = k. Solve 4*a = 4*f - 16, p*f - o = -3*a - 2*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -927749, -1855497, -2783245, -3710993?\n\"Answer: -927748*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, w: 3, e: 2, j: 3}. What is prob of sequence ew?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhtt when four letters picked without replacement from {b: 6, u: 1, t: 2, h: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -52*q**5 + 252*q**4 - 428*q**3 + 292*q**2 - 48*q - 16 = 0?\nAnswer: -2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 53*d - 90 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/25*(-4)\/16.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - o = -3*v - 8, 4*v - 5*o - 2 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 67*o - 58*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/8, -0.1, -0.24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 25*o - 22*o. Which is the third biggest value? (a) 1 (b) 3 (c) o (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-4 - 6) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1683 + 1711. Solve -33*m = -26*m - h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - -1899?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -540, -1098, -1656?\nAnswer: -2214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 8*z**2 - 7*z - 4. Let a be (-97)\/11 + 3 + (-35)\/11. Let p be b(a). Calculate the remainder when 62 is divided by (66\/p)\/(1\/(-7)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v**2 + 10*v + 21. Let h be g(-9). Is (1 + h\/(-6))*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-14))\/((-6)\/(-8)). Let u be (-56)\/(-6) + (-2)\/(-3). Let r = u + t. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, -20, -1 in descending order.\nAnswer: 64, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 227 - 233. Let i(m) = -84*m**2 + 28. Let a(p) = -83*p**2 + 27. Let s(x) = d*i(x) + 7*a(x). What is the first derivative of s(t) wrt t?\nAnswer: -154*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + sqrt(88)*2 + sqrt(88))*2 - sqrt(88)*1*-3)\/(sqrt(392) + (1*(sqrt(392) - -1*sqrt(392)) - sqrt(392))).\nAnswer: -2*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 13*s**6\/30 + 787*s**5\/60 - 790*s**2. Find the third derivative of x(z) wrt z.\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4) - 0)*10. Let o be (1 + (-1)\/(-7))\/2. Let n = -0.066 - -2.066. What is the nearest to n in o, d, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -443\/317 (b) -0.5 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70353, 140706, 211059?\nAnswer: 281412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and 33\/355.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 20*b**2 - 26*b + 49. Let f be y(-21). Suppose -2*j + q + 765 = -f, -2*j = q - 909. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 380*z - 1498. Determine a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b578 (base 14) in base 2?\nAnswer: 100011110001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 300 = 0. What is the highest common factor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14)*141610\/(-2380).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1497.79 + -8649904.\nAnswer: -8651401.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*h**5 - 5*h**4 - 98*h**2 - 1.\nAnswer: 3660*h**2 - 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 1. Let m be r(2). Let h = m - 9. Solve h*y = y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3074, -3046, -2984, -2888, -2758, -2594, -2396?\nAnswer: -2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + 204\/(-60). Let q = 7 + w. Suppose -5*y = -4*r - 37, 11 = q*y - 3*r - 18. Solve -5*c = y*f + 45, 3*c = 5*c - 4*f - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 457*o - 451*o - 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.3 (c) 3 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1377) - (sqrt(1377) + 1 - sqrt(1377))) - 1*sqrt(1377)*-3)**2.\nAnswer: -324*sqrt(17) + 49581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 - -700. Calculate the highest common factor of p and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9360700 is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 9*f**2 - 20*f**2 - 8 + f**2. Let r(s) = -2*s**2 - 3. Let n be 64\/40*5\/(-1). Calculate n*r(t) + 3*o(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:37 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 44454068 = 3*q + 10398084, 3*m = -4*q + 45408012. Round q to the nearest one hundred thousand.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b*b\/(b\/(b\/(b*(b\/b**(1\/3))\/b*b))))\/(b**(2\/3))**(-6\/11)*(((b**(-1\/3)*b)\/b*b*b)\/b)**(-7)*(b\/b**(-4\/5)*b)\/b**2 assuming b is positive.\nAnswer: b**(-1927\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-36)*86 - -1*3\/(-9). Solve x*c + 1532 = 1518 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.292 + 10.508. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64028*l = 64140*l + 224 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, -2, 227, -3, 2, 17 in descending order.\nAnswer: 227, 17, 12, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -9960937627954.\nAnswer: -9960937627887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3) - 2)*3. Let a be (-4)\/2 - 2\/(-1). Suppose -3 = 5*c - 23. Sort u, a, c in increasing order.\nAnswer: u, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 33*p\/4 + 39\/2.\nAnswer: -3*(p - 2)*(p + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 60. Calculate the remainder when l(0) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 45*k**2 + 8*k + 14. Is 18 a factor of u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 6229*h**2\/4 = 0. What is h?\nAnswer: -6229\/20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a factor of 500311358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60669 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmgg when four letters picked without replacement from mmmgdpcpgpdgdgmwcggd.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/36 - -991*2\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083507?\nAnswer: 3, 23, 41, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -51. Which is the second biggest value? (a) 0.3 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35309, -3, 2, -5, 0, 5, -36 in increasing order.\nAnswer: -35309, -36, -5, -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2 - (-2 - 0))*-2. Let k = -7 - 104. Let t = s - k. Calculate the lowest common multiple of t and 16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r. Let o be -21*(-5)\/15 - 2. Let l(n) = -7*n - 1. Determine o*m(b) + 3*l(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -113 and 331257.\nAnswer: -37432041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i\/(i\/i**(6\/7)*i))\/i)\/i)\/(i**3*i))\/(i**(-1)\/i)**(4\/3))\/(i*i\/i**6*i**1)**(-7) assuming i is positive.\nAnswer: i**(-493\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let w(a) = -t*a**2 - 2*a + 10*a**3 - 3 - 11*a**3 - a + 2*a. Calculate w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115382 + -114979. Suppose 5*d = i + 311, -2*d + d - i = -61. What is the greatest common divisor of d and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3) + -5 + sqrt(11) + (sqrt(121)*2)\/sqrt(11).\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3013*z**5 - z**3 - 2989*z**5 - 278*z**2 + 0*z**3 + 5919*z**5 wrt z?\nAnswer: -4980*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(7)*2*4 + sqrt(7) + sqrt(112) + -1)**2.\nAnswer: -104*sqrt(7) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 1250. Let i(o) = -125. Let l(t) = -h(t) - 10*i(t). Let z(q) = 231*q**2 + 5*q + 1. Determine l(z(k)).\nAnswer: 462*k**2 + 10*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.77792 + 6.77744. Let q = 1.3 + -7.3. Let u = q + t. Round u to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - 9.93. Let m = 5 + d. Let v = 8.27 + -0.27. Which is the nearest to v? (a) 0.2 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*v = -0*x - 40, 25 = 2*x - 5*v. Suppose -4*m - 7 = x. Let w = m - -7. Solve -w*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -194126.\nAnswer: -194126, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*g**4 - 246668*g**2 + 35462634*g wrt g.\nAnswer: 240*g**2 - 493336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73034*c + 7646 = -73033*c. What is c rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z**2 + 29349*z + 278586 = 0. Calculate z.\nAnswer: -66\/7, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.15597 times 220.3\nAnswer: 34.360191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.08 + 0.08. Let g = n + 12. Let f = 7 - g. Which is the third biggest value? (a) 2\/15 (b) f (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.3063ml in litres?\nAnswer: 0.1093063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2971*g - 1587*g - 1514*g + 4420 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 7. Let h be 66 + 0 + v\/(-3). Suppose 2*d - 4*k + 2*k - h = 0, -2*d = -3*k - 63. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134107 + 134112. Let q = -12 - -21. Sort 0.09, q, l in ascending order.\nAnswer: 0.09, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 1018 + 776. Let i be (1 + 1\/(-2))*d\/(-23). Solve 5*v = 3*s + 16, 3*s + 8*v - i*v = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, 0.5, 0.2, 11, 5 in decreasing order.\nAnswer: 11, 5, 0.5, 0.2, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/3 + 82*x**3 + 6724*x**2 + 551368*x\/3 = 0. What is x?\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Let s(g) = 9*g**2 + 1. Let k(c) = -36*c**2 - 4*c - 4. Let j(u) = k(u) + 5*s(u). Let q be j(o). Calculate the greatest common divisor of q and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2910 and -23\/111055.\nAnswer: 64634010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 112*j**3 + 7*j**2 + 136*j + 58. Is u(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y - m, -5*y + 390 = -5*m + 380. Factor 1\/8*w**2 + 8 - y*w.\nAnswer: (w - 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 9 - 14 - (1 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + h + h - 76, 149 = 4*b + h. Suppose 8 = m - 3*m, 3*z = 3*m + 9. Calculate the remainder when b is divided by (z\/(-3))\/((-1)\/(-39)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 5. Let x = i - -0.2. Which is the second smallest value? (a) x (b) 1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 - 3*f**2 - 4. Is g(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.796 + 4.8. Round f to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.0225 millennia to years.\nAnswer: 98022.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, 1 p, and 1 n when four letters picked without replacement from {j: 8, n: 4, f: 3, p: 2, b: 2}.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 740?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.57 - -2.67. Let r = 217530 + -2389862\/11. Let t = r + -270. Which is the second biggest value? (a) t (b) 0.08 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + f**2 + 5*f**2 - 5*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 - -112. Which is the second smallest value? (a) 0 (b) n (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982 = -13*k + 774 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13210 - -13?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22822306 a multiple of 412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-175)\/(-10))\/(-5))\/((24717\/(-428))\/(-231))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 12. Let o be i(8). Suppose m + o = 5*m. Solve 2*w + m = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 99*j - 106*j. Solve 4*g + 28 = -5*f, g + 12 = -f - j*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/5)\/(-4) - 396\/(-90). Suppose 0 = 3*g + 5*y - 25, 0 = g - n*y + 21 - 1. Solve g = 5*p - 15 + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 31 - 16 - 62 + 24*d**2 in the form w*d + z*d**2 + v and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 + 115. Let n = 65.5 + s. Let v be (-33)\/(-12) + (-1)\/(-4). Which is the biggest value? (a) v (b) -1\/6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 + 0)*(-2 - 1 + 5)*(148 - 112*p - 148) in the form w*p + z and give w.\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -12 - (-1 + 2). Suppose -j = 2*d + 3*c, -3 - 5 = 2*d - 4*c. Let n(f) = f**3 + f**2 - f - 5. Let t be n(0). Is d not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s**2 + 20346347 - 139*s**2 - 316*s**2 - 20346347.\nAnswer: -395*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.07 (b) 10 (c) 2365 (d) -0.4 (e) 0 (f) -0.3 (g) 24\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 13 - 6. Let m = j - -46. Let l = 17 + m. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {g: 1, k: 5, j: 1, q: 2, w: 3, r: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 14. Let k(m) = -15. Let s(o) = 3*h(o) - 4*k(o). Let q be s(5). Let f be 2\/6 + 35\/q. Solve -f = -5*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**2\/5 - 11596*j\/5 = 0.\nAnswer: -2899, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-1))\/((-1)\/1). Let j = 19 + -14. Solve -j*x + 4*x + 3 = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:06 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {c: 5, e: 1, i: 8, x: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d + 5. Let c(k) = 1. Let x(f) = -6*c(f) + r(f). Let z be x(2). Let n be z\/4 + (-36)\/(-12). Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(j - 3*j + 4*j)*(627 - 737 + 460).\nAnswer: -700*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g**2 - 4*g - 2. Let r(b) = -14*b**2 + 5*b + 2. What is -6*o(k) - 7*r(k)?\nAnswer: 8*k**2 - 11*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swssasusgrggguugg. Give prob of sequence wag.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-9)\/(-48)*(-88)\/(-462)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3150028 and 675006?\nAnswer: 9450084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4*q - 6 + 3 = 0, 0 = -2*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 11\/((-165)\/(-54)). Let o = -4\/5 - x. What is the closest to 0.1 in o, -2\/5, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1195 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jly when three letters picked without replacement from yyylylj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1492.9471 and 1725.8.\nAnswer: 3218.7471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -4. Let w(b) = 11*b - 13. Is w(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-268398)\/37851)\/((-2)\/(-33))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1326.5 * 0.032\nAnswer: -42.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -44*i + 27. Let n be u(2). Let l(o) = -116*o**3 - o - 1. Let q be l(-1). Let w = q + n. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 204?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53750, -106967, -160184, -213401, -266618?\n\"Answer: -53217*g - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2722992 by 340374.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 62995030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23)*w*w**34)\/((w\/(w*w\/(w**5\/w)*w))\/w**(24\/7)) assuming w is positive.\nAnswer: w**(5851\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 11*t - 2. Determine a(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 11\/7*r**3 - 6\/7*r + 27\/14*r**2 - 13. Factor o(q).\nAnswer: 3*(q + 1)*(11*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.8, 18, 0.1, 3, 4 in descending order.\nAnswer: 18, 4, 3, 0.1, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1920*v - 47. What is the units digit of i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 10, m: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrc when three letters picked without replacement from rwwcnjrndwwc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -181, -209, -257, -331, -437, -581, -769?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3273, -0.3, -550.\nAnswer: -550, -0.3, 7\/3273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -512, -2, 5, -0.2, 0.05, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 9. Let d be j(6). Let n(s) = s. Let o be n(1). Let w be 0\/(o*(-5 + 3)). Solve w - 9 = -d*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220455 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 628, 1175, 1732, 2305, 2900, 3523, 4180, 4877?\n\"Answer: w**3 - w**2 + 543*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1847878643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -26. Let m be (2\/6)\/(1\/3). Let l(a) = a**3 - 2*a**2. Let q be l(m). Sort 3, q, v in decreasing order.\nAnswer: 3, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffiz when four letters picked without replacement from fzifffffffzzfff.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3900, -1188, -1, -4 in decreasing order.\nAnswer: 1, -1, -4, -1188, -3900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 95*l**2 - 2 + 50*l**2 - 1.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 20, -4 = -4*q + 2*w - 4*w. Let y(o) = -9*o**2 - 4*o**2 - 2*o**3 - 10*o - 9*o**2 + o**q + 11*o**2 + 2. Determine y(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/3 + 16\/7. Suppose 0*w = -3*w. Suppose w = c - 0*c. Are c and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/9 - 9136474*n**2\/9 - 4060658*n - 3045494 = 0. What is n?\nAnswer: -3, -1, 4568241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v - o, 5*v + 2*o = 7*o + 65. Suppose 2*a - v - 2 = 0. Suppose 2*q + 4 = -3*t, -6*t + t - 11 = -q. Solve -3*y - q = 3*u - 4, -a*y = -5*u - 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16892 - 16892.3. Let k be (9\/6 - 2) + 1. Let m = 11.1 + -11. Which is the second biggest value? (a) k (b) j (c) -4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1) + (-1 - (-56)\/(-26)). Put 1\/2, v, 3\/7 in decreasing order.\nAnswer: 1\/2, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:17 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104*l*p**2 - 11*l*p + l - 36404*p**2 + 17154*p - 10 wrt p?\nAnswer: 208*l - 72808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 55 + 19 + (-2 - (7 - 3)) - (49 + -43)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247.123 + -247. Let o = c + -0.254. Let h = o - 1.869. What is the closest to h in -0.8, -2\/3, 1\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -10. Suppose -f = 4, -3*m + g*f + 40 = f. Let k = 12 - m. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/120 - b**5\/12 - b**4\/8 - b**3\/2 + b**2. Suppose -2*p + 16 = 2*p. Let y = -8 + p. Calculate a(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(5*(-3)\/(-15)). Let g(k) = k**2 + 1. Let l(s) = 16*s**2 + 36. Let d(a) = b*g(a) - l(a). Find the first derivative of d(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2526 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 8 = 0. Suppose d - 9 = k*y + 2*d, -y - 5*d = 26. Let w = -1 - y. Solve w*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560316*x + 559721*x - 1120029*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 + 2) - (-39 + 22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(164\/246). Let f(a) = -a**2 + a - 1. Let g(m) = -4*m**3 + 4*m**2 - 4*m + 2. What is y*g(r) - 4*f(r)?\nAnswer: 4*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6665 is divided by 370?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-3 - -3))*-3. Suppose c*w = 2*j + 2*j - 16, 16 = 4*j + 4*w. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682320 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3891095*h - 3891047*h - 3024 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - (55 - 30 - (-6 + 0))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, -48, -117, -180, -231, -264?\n\"Answer: h**3 - 6*h**2 - 58*h + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(30\/1745) + 6. Find r such that -3*r**2 - 177*r - 180*r - 8 + 4*r**2 + s*r = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 7 = -n, 0*n + 4*s = -n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-14)\/(-189) - (-21)\/(-27). Let l(q) = 7*q**2 + 2*q + 1. Give l(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - 3*p - 3. Let u(m) = m**2 + m. Let j(w) = -5*u(w) - x(w). Let a(o) = o**3 - 9*o**2 - 9*o + 13. Let q = -8573 + 8582. Give q*j(k) - 2*a(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyyoffyfoi. Give prob of picking 1 i and 3 f.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 41121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 4*o - 7. Suppose 4*v = -n + 2, -4*v + 8 = -3*n + n. Let g be 3 - (-4)\/(n - -4). Determine u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 472, 0, -5, -25, -6, -4 in decreasing order.\nAnswer: 472, 0, -4, -5, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3 = 4*i. Let b(w) = 2*w**2 + 4*w - i + w**2 - 2*w**2. Is b(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 15*h + 28 = -9*r + 3, 21*r = -5*h - 68 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6973 * -4\nAnswer: -2.7892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 + 161.8. Round n to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272296*j**2 - 243106*j wrt j.\nAnswer: 544592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(10 + 13) - (-18)\/3. Solve -6*q + k = -7*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5 + 14 = -2*c - 17, 5*f - f - 5*c - 65 = -f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 + -176 - (-48 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92487371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -201, -805, -1811, -3219, -5029, -7241?\n\"Answer: -201*s**2 - s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52683, 105325, 157999, 210717, 263491, 316333, 369255?\n\"Answer: 2*u**3 + 4*u**2 + 52616*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -6, -153 in ascending order.\nAnswer: -153, -9, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 9*h = 6*h. Solve 4*m - 16 = 4*z, h*m - m - 4*z - 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -8 - -6) + -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, i: 1}. Give prob of sequence kyi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10086.541832 + -0.158168. Round t to the nearest 100.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.1 - -1.5. Let k = -5.6 - -0.6. Let a = k - g. Put -6\/5, a, -3 in descending order.\nAnswer: a, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-2))\/((-2)\/5). Suppose 4*j + 4*n = -0*j + 48, j + 8 = 4*n. Find the common denominator of (3 - j)\/d*118\/(-4) and 55\/13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 11449 = 4*d - 14*v, 3*v + 5717 = 2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138\/5*o + 0 - 3\/5*o**2.\nAnswer: -3*o*(o - 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54694767 minus -937?\nAnswer: 54695704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03714484 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*g + 21, 3*d - 2 = -2*g - 5. Let p be 0\/(-3) - (d + (-6 - -1)). Suppose p*n - 1322 = -26. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56\/33 - 214\/165. What is the closest to -0.2 in r, 2, 8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*a = -2, 4*b + 2*a + 12 = -2*a. Let o be 1 - (-3 - b) - 2. Let k = 12 - o. What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, -4, -2, -385 in increasing order.\nAnswer: -385, -4, -2, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3275663 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2\/2 + o + 8. Let s(m) = -m**2 + 21 + 3*m - m + 4*m - 27. Let j(c) = -6*b(c) - s(c). Let v(d) = 6*d. Determine j(v(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -69164946?\nAnswer: -1\/69164946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**3 + 2*m**2 + 66*m + 75. What is the thousands digit of r(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3)*b*b)\/(b**(3\/2)\/b) assuming b is positive.\nAnswer: b**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from gvgggggvvv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 2, 3 = -s + 2*q - 2. Put s, 2, -5 in increasing order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/7)\/((-1)\/(-6) + 715\/15015)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)*t\/(t\/t**(-15)) assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 16. Let r be 2\/u - (-3420)\/(-14). Is r\/(-12) + 4\/6 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, -0.3, 3, -2\/9, 2, 19.0106, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 1. Let k(y) = -2*y. Let w(j) = 5*k(j) - 6*m(j). Determine w(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30789099.\nAnswer: 3, 11, 83, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (159\/9)\/(42*8\/96). Which is smaller: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6544 (base 8) to base 14.\nAnswer: 136c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnjpnvv. What is prob of sequence pj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648)*5)\/(sqrt(81)*3).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-120) - 1\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76994 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 take away -413933?\nAnswer: 413932.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 19. Is s != -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 - -65. Let z(f) = -f**3 - 6*f**2 - 7*f + 6. Let q be z(x). Suppose 31 + 297 = q*v. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130759\/18 + 7268. Find the common denominator of ((-6)\/(-105))\/(4\/515) and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129619 + 58819. What is d rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -40. Suppose 5*i - 4 = 4*o - 5, -2*i - 2 = -2*o. What is the second derivative of -n*p**4 - i*p + 3*p**4 - 2*p wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*g = -60, 4*g - g = -x + 15. Suppose 90 - x = -q. Let b = -54 - q. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) -68 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 6*p - 1. Let g be (6\/(-10))\/(2\/(-310)). Let v = g - 56. What is the remainder when v is divided by w(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3 + 2*r + 9 + 176*r**2 - 52*r**3 - 165*r**2 + 53*r**3. What is s(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 + 20*n**2 + 5*n - 30 = 0. Calculate n.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10*(-305)\/122)\/((-2)\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-80)\/(-12))\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/14)*x**(-9)*(x\/(x\/x**2))**37 assuming x is positive.\nAnswer: x**(911\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 393 = 2*j. Let v = j - -203. Suppose 0 = 2*l + 6 - v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 49 + 49 = -46. Solve y*j - 30 + 42 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/117*546\/210)\/((-2)\/(-75)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2050, -12680, -38588, -86476, -163046?\nAnswer: -275000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.2 and -3?\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Let v = x + 1. Let l = -0.4 + -0.1. What is the nearest to v in 0.4, l, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*x + 55*x - 23256 - 17544 = -182*x for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-nine quarters of a microsecond?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*a + 8 = 0, 4*q - 5*q - 4*a - 10 = 0. Solve -f + 5 = -q*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -441 bigger than -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.85 + -0.85. Let a be (-4)\/10 + (-2912)\/(-105). Let w = a - 27. Sort w, 0.5, d, -1 in ascending order.\nAnswer: -1, w, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + 5*t, 0*g - 4*g = -3*t + 20. Let v(x) = -x**2 - 8*x + 4. Let s be v(g). Solve 0*u + s*u = -3*f + 23, 0 = 5*f - 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 55413\nAnswer: -1\/55413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmuumpmpmm. What is prob of picking 2 m and 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5050*y = 3*c - 5046*y + 165, -3*y = 5*c + 264 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h + 444 = 0. Is 7 a factor of h\/(-6) - (-7)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -3*u, u - 8 = -3*u - 4*g. Let j be (u\/(-5))\/((-5)\/((-525)\/6)). Let q(c) = -c + 1. Let l(p) = 3*p - 4. Determine j*q(r) - 4*l(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6 + (-154882)\/(-6). Let h = w - 24296. Let c = h + -1487. Calculate the common denominator of -41\/5 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3))\/h)\/h*h*(h**(-33)*h)\/h*h*h assuming h is positive.\nAnswer: h**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:28 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 11*d + 7. Let l be j(-4). Suppose -5*i - 8 = -2*b, -6*i + 2*i - 11 = l*b. Sort b, -3, 0.1 in increasing order.\nAnswer: -3, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 + 28*y - 55*y - 79*y**3 - 104*y**3 + 204*y**3 + 27*y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -395*j**2. Let p(n) = -8*n**2. Give p(x(q)).\nAnswer: -1248200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*r**4 - 2*r**3 + 1322*r**2 + 49538*r - 451?\nAnswer: -2376*r**2 - 12*r + 2644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.2 and 0.1?\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + -114. What is the nearest to k in -4\/5, 1, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fkokqfkkak.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894029701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526542, -1053115, -1579688, -2106261, -2632834?\nAnswer: -3159407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1323.058648586?\nAnswer: 1328.058648586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -245431 = -245431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -16*p + 1. Let d(n) = n**3 + 23*n**2 + 120*n - 5. Give d(o) + 7*x(o).\nAnswer: o**3 + 23*o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 15, -4*x = -w - 20 - 7. Suppose -5*d + y + 1 = 6, d = 5*y + 23. Let j = d + x. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/50*1*6\/(144\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/z**(-13\/3)))\/z)\/z*z*z**(24\/7)\/z*z*z\/z**(-2\/7)*z*z\/z**(-1\/23) assuming z is positive.\nAnswer: z**(1171\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62531 is divided by 20820?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8506, -17006, -25506, -34006, -42506, -51006?\n\"Answer: -8500*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s. Suppose 34*a - 38*a + 96 = s. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27439603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*s**3*v + 63*c*s**3 - c*s**2*v + 59*s**3 - 66209*s**2*v with respect to v.\nAnswer: 2*c*s**3 - c*s**2 - 66209*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 10}. Give prob of sequence kk.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*l - 132 = -2*n, 0 = n + l - 32. Suppose 5*s - n = -0*z + 2*z, 0 = -4*s + z + 27. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 1:47 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/2 + 43*m**4 + 923*m**3 - 130*m**2 - 5719*m\/2 - 1849 = 0. Calculate m.\nAnswer: -43, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1725*q - 1510*q - 6251 - 199 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-132)\/30 - 34\/10. Suppose 4*n = 2*z + 7 - 21, -z + 4 = n. Suppose 2*r + 4*l - z = -13, 8 = -2*r + 3*l. Put h, r, 4 in increasing order.\nAnswer: r, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 23*u**4 + 41*u**4 - 367*u**2 + u**3 + 366*u**2 as y*u**4 + w*u + s*u**2 + f*u**3 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.01617 millilitres to litres.\nAnswer: 0.07501617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 2*c**2 + 2*c - 3. Let l be a(-3). Which is smaller: -1\/49 or l?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32147 + -4193. What are the prime factors of m?\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + -3.07. Let d = -5 - o. Let b be 4\/(-18) + 224\/360. What is the nearest to d in -3, -1\/5, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 15)*(c + 1 - 1)*(3 - 3 + 1)*(-c - 14*c**2 - 4*c + 6*c).\nAnswer: 182*c**3 - 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -619a7 - 2?\nAnswer: -619a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1189 divide 162567963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -18*g - 14*g + 2079 + 33*g - 998. Let d(n) = -2*n. What is d(m(h))?\nAnswer: -2*h - 2162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -656.\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 11666096.117 to the nearest 100.\nAnswer: 11666100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*q**4 + 6005051*q**3 + 43429240?\nAnswer: -40*q**3 + 18015153*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 0. Let s = 21 - a. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 8*r**2 - 7*r - 3. Let v be z(6). Let l be 22\/6 + (-18)\/v. Suppose 51 - l = 4*s. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -12344?\nAnswer: 12335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 3) to base 6.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.7, 1\/2, -3, -5, 6, 10\/17, -3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14837d9 - 5?\nAnswer: -1483800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -13. Solve -r + 7 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(192) + -3)**2.\nAnswer: -48*sqrt(3) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/25*-1)\/(3\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/21 - 8\/(-12). Let h = 0.4 - 0.6. Let z = h + -0.8. Which is the nearest to z? (a) s (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o**2. Let m(g) be the first derivative of -g**4\/12 - 5*g**2\/2 - 5. Let d(f) be the second derivative of m(f). Determine j(d(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5587*i*r**3 + 15*i*r**2 - 2*i*r + 5*i + 11*r**3 - 59*r**2 wrt r.\nAnswer: 33522*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/29464787 and 61\/160644.\nAnswer: 353577444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901612228 - a**2 - 901612228.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*n + 2 + 2, n + 4*s = 20. Suppose -4*h + n*m + 68 = 0, 4*m - 5 = -h - 3. Calculate the smallest common multiple of 6 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30156179 to three dps.\nAnswer: 0.302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 8359*p - 598530. Determine b(-71).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3 - -3) + 1)*40 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 2 + 5. Suppose y + 1 - n = 0. Let u be (3 + (-141)\/45)*y. Put u, -2\/7, 0 in decreasing order.\nAnswer: 0, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2482 + 386?\nAnswer: -20a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 8. Does 5 divide t(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x - 2. Let q be m(-2). Calculate the greatest common factor of 290 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68 + a7a?\nAnswer: a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4 - 8151*x**3 - 16711165*x**2 - 413073021*x - 759366574 = 0. What is x?\nAnswer: -4063, -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.5. Let h(m) = -7*m + 109. Let j be h(11). Let k be (3 + -1)*j\/(-96). Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:25 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 19*g - 4 = 2*x, -2*g + 2*x = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6206 divided by -6\nAnswer: 3103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30603 + 30602. Let p be 6\/(-8) - (-3)\/6. Which is the nearest to 1\/2? (a) p (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -t + 538191, -6*m = 4*t - m - 2152785. Let a be (350\/(-21))\/((-3)\/t). What is a rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {i: 1, u: 2, j: 2, q: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3973 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, r: 3}. Give prob of picking 3 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7512.8 + 7513. What is the nearest to 0 in -3\/5, -3, -0.09, n?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t**2 - 28*t - 55. What is w(-2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 2*q**2 + q**2 + (-q - 3 + 3)*(q + 0*q - 2*q) + 0 + 0 + 2*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8888989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 174?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14599*s**2 - 7*s - 11. Let d be g(12). Let k = 822351 + d. Round k to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 4*y - 2*y + (0 - 4 + 2)*(-4*y - y + 3*y) + 3*y - 4*y - 5*y + (2 + 4 - 1)*(-2*y + 1 - 1) to l*y + o and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**3 + 22 - 16 + 6*v**3)*(-4 + 4 - 2) as q*v**2 + a + t*v + d*v**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 3*n**2 + n - 2. Let u be i(2). Suppose -3*k + u = -4*y, 2*y - 3*y = -4*k + 29. Is 20 a factor of (-820)\/k*(-8)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 80. Let l be (6\/o)\/((-2)\/5). Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11056 and -108?\nAnswer: -1194048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.102873 months to centuries.\nAnswer: 0.0200857275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38235, 76462, 114689?\n\"Answer: 38227*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 282805 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(228) + sqrt(228)*1) + sqrt(228))\/((sqrt(120) - sqrt(120)*-2)\/sqrt(10)).\nAnswer: 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 42707, 6\/19, 0.4 in descending order.\nAnswer: 42707, 0.4, 6\/19, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/((4\/(-8))\/(28\/(-14)))*-20?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h - 2 - h**2 + 1 + 24*h - 12*h - 7*h. What is y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -250. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:20 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.3 (c) -1 (d) -3\/2 (e) 0 (f) -468 (g) -9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24741643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -5.1. Let b = 0.148 + -0.288. Let x = b - 0.36. What is the closest to 0 in o, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + 3*u**2 + 0*u**2)*(0*u + 2*u + 0*u)*(3 + 2 - 6)*(2*u + 0*u - 3*u) to the form t*u**2 + p*u**4 + v + g*u**3 + k*u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11218560 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.9. Let b = 0.1 + n. Let j = 1 + b. Put -1, j, -1\/2 in decreasing order.\nAnswer: j, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12600 and 2520.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:09 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**39*(i**(-2\/3)\/i)\/((i\/(i**3*i))\/i))\/((i*i**1)\/i**5*i**(-2)\/i**(-4\/5)) assuming i is positive.\nAnswer: i**(977\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + l**2 - 4*l - 4. Let p be m(2). Solve -2*k - p = -o - 4, -27 = -o + 5*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*b - x, 0 = -5*b + 4*x - 9 - 5. Let l(s) = -13*s - 8. Let p(u) = -26*u - 16. Let v(t) = b*p(t) + 5*l(t). Is v(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let s(m) = -31*m**2 + 145*m. Give s(y(u)).\nAnswer: -124*u**2 - 290*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -50 + 4*(28\/8 + -3). Let m be 0 + 1 + 78 - -1. Let z = b + m. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, v: 3}. What is prob of sequence vjvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87644 by -21911.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2790 = m, 4*m + 5*h - 8330 = m. Suppose -y - 191 = -m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4726, 4744, 4770, 4804, 4846, 4896, 4954?\nAnswer: 5020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 + 7*j - 6. Let a(h) = h - 1. Let d be a(5). Let u be (d - (9 - 4))*-13. Let b(m) = 9*m**2 + 15*m - 13. Give u*g(l) - 6*b(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -348b (base 12) to base 4\nAnswer: -1123223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3194. Let w(i) = 8*i**2. What is w(r(c))?\nAnswer: 8*c**2 + 51104*c + 81613088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = w + 7*h - 2*h, -5*w = -4*h - 180. Let f be 5*4\/(-20)*w. Put f, 1, 0 in decreasing order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let t be z(6). Suppose 6 = 4*w + 2*h, -w - t = -2*w - 4*h. Let o = w - -73. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times -0.03410229\nAnswer: -0.57973893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/835?\nAnswer: -2\/835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/744*(-58)\/406. Sort 0.2, -4, -0.07, s in ascending order.\nAnswer: -4, -0.07, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Which is the smallest value? (a) 3 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 16. Let t(s) be the third derivative of -1\/8*s**4 + 0 + 2*s + 0*s**3 + s**2. What is n(t(y))?\nAnswer: 6*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46352, -46324, -46296, -46268, -46240?\nAnswer: -46212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 203213123?\nAnswer: -203213130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 509 = -481. Let r = -131 + p. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (4 + sqrt(75))*-4 - ((sqrt(75) - ((sqrt(75) + 3)**2 - sqrt(75))) + 3) - ((sqrt(75) - 2*sqrt(75)) + 1 + (-6*(-1 + sqrt(75)) - sqrt(75)))**2.\nAnswer: -4752 + 605*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(1\/4)))\/f)\/f)\/(f*f**4))\/(f*f**(1\/3))**(2\/11)*(f*f*f*f*f\/f**(-1)*f**(1\/2)\/f)\/(f\/(f*f*f**(-3))*(f\/f**(-5))\/f*f) assuming f is positive.\nAnswer: f**(-1319\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(2\/15)*k**6*k\/k**(-2)*k assuming k is positive.\nAnswer: k**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64437 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-36) - 5\/2. Is z > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31, 4\/5, -2\/7, -0.2, -4\/3 in decreasing order.\nAnswer: 4\/5, 0.31, -0.2, -2\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.078*-0.71496\nAnswer: -0.05576688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103937 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) -4 (c) -2 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99724 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -579488 divided by -199\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-15))\/(1\/5). Suppose -171 = -5*y - 46. Let m be 10\/y + ((-38)\/(-5) - 2). Sort 2, o, m in descending order.\nAnswer: m, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -304184932.\nAnswer: -304184937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.95 + 74.15. Which is the second biggest value? (a) 0.3 (b) -2\/3 (c) 1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128178.3 seconds to minutes.\nAnswer: 2136.305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1142 + -2?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -344510 to the nearest 1000.\nAnswer: -345000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 8719 (c) 0.5 (d) 0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + 7. Suppose -k*g = -0*g. Solve 0 = 4*p - g*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*q + 2, 5*o - o = -3*q - 14. Let v = 3 - q. Find the second derivative of 9 - v*c**3 + 6*c - 9 wrt c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -7, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0 + 1\/11*i**2 + 0*i**3 + i - 1\/66*i**4. Suppose g(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110111010001000110 (base 2) to base 11.\nAnswer: -19a3568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11300240 - -1340?\nAnswer: -11254500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -522094 divided by -23\nAnswer: 522094\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 412 = -10. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 38\/(-55) - (-15)\/25. Which is the nearest to -2? (a) q (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40472 by 9.\nAnswer: 40472\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1. Let a(w) = w + 8. Let r(u) = a(u) + 3*c(u). Let f be r(-6). Are 5 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*y**3 + 562*y**2 - 904*y + 56.\nAnswer: -2*(y - 7)*(y - 2)*(31*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76643 + -76643.0269934. Let p = -34.027 - -34. Let n = p - w. What is n rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:40 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 + -27.57.\nAnswer: -97.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a6 - 4?\nAnswer: 5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o - 117*o - 8*o)*(2 - 3 + 0).\nAnswer: 116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*q + 8 = -0, -3*g + 4*q = 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 6*z - 6*z. Let p(o) = 2*o**2. Give a(p(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, e: 4, t: 7, w: 4}. Give prob of picking 2 f and 1 w.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/2))**3\/((k*(k*(k\/(k**(-1)\/k))\/k)\/k)\/k**(4\/13)))**(-24\/11) assuming k is positive.\nAnswer: k**(1308\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9763*h - 509 = 116647 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8752 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/55 - -8\/11. Let i = -134\/3 - -45. Which is the closest to i? (a) h (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 13*y**2 - 29*y + 41. Let b be -3 + (-2 + 1)\/(2\/24). Let t be l(b). Calculate the greatest common factor of t and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*v + 6 + 208*v**2 + 123*v.\nAnswer: 208*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/10 and 46\/263.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d**2 + 7*d + 9. Let y(a) = 7*a**2 - 3*a - 4. Suppose -7*t + 15 = 57. Give t*z(h) - 14*y(h).\nAnswer: -14*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8030 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 1. Let z be v(1). Suppose 4*w = 2*g + 84 - 2, 4*w - z*g = 88. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1510 and 15077?\nAnswer: 22766270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0.1. Let z = 10923 - 10924. Which is the second biggest value? (a) z (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10115, -10117, -10119, -10121, -10123?\n\"Answer: -2*b - 10113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 826*u**3 + 1602 wrt u?\nAnswer: 2478*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00673416354 rounded to 6 decimal places?\nAnswer: -0.006734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 41*o + 2 - 32*o + 2 - 4.\nAnswer: -2*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1797 + -1778. What is the remainder when 703 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 9*t**2 - 4*t - 6. Let r(h) = -h**3 - 9*h**2 - 5*h - 7. Calculate -7*i(v) + 6*r(v).\nAnswer: v**3 + 9*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(25\/(-12)))\/(63\/(-315)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -26. Let r(h) = 2*h**2 + h - 1. Let s(x) = -4 + x + 6 - 3. What is k*r(v) + 3*s(v)?\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 614*u**2 - 614*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiiectqcee. Give prob of sequence cc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 14*w = -4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*1136400\/72 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21727 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 676410 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (9 + (9 - 22) + 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 - 8)) + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1713 + 4130?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -793*h**5\/20 + 9*h**4\/4 + 3*h**3 + 973*h. What is the third derivative of a(y) wrt y?\nAnswer: -4758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727 + 169 = -16*v. Is v less than -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -771\/2 - -411. Let r(f) = -2*f**2 - 48*f + 27. Let j be r(-24). Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 64\/(-12). Suppose 2*m - 48 = v*f, 5*m - 60 = -4*f - 6. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256924890.897 - -0.31.\nAnswer: -256924890.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + -3 + sqrt(175)) + -3 + (sqrt(7) + 0)*-2*6)**2.\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + 60.1069.\nAnswer: 70.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 37901?\nAnswer: 37901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80 + -115 - -267) + -102?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*f - 0*f. Let j = -16 + 29. What is the remainder when f is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 12*o = -17*o - 8*p - 36, -o = -0*o - 97*p - 174 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336950 to the power of 1\/2, to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(800)*-5) + 0 + 3)**2.\nAnswer: -3*sqrt(11)\/25 + 22511\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-30))\/(87\/(-36))*1075*215\/277350\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - 2*r + 0*r)*(2 + 0 - 6)*(133*r**3 + 20*r**4 - 133*r**3).\nAnswer: 480*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32330 + 3?\nAnswer: -32321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*d + 78, -4*a - 122 = 2*d + 3*d. What is the units digit of ((-64)\/10)\/(a\/70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3 - 10*l**3 + 283*l**2 - 212*l**2 - 1628*l + 349*l**2 + 1212.\nAnswer: -4*(l - 101)*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23598687 is divided by 4388.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 151. Solve g*t + 10 = 11*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2110581+-13\nAnswer: -2110594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.3 (c) 9 (d) -0.078 (e) 1 (f) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -135*o**2 + 41*o - 26. Let t be h(-54). Round t to the nearest ten thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 227311, 453646, 679981?\n\"Answer: 226335*f + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26935)\/(-20) + (-7)\/(-28)?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 12 (c) 4 (d) 1 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:10 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.2372091 to two dps.\nAnswer: -108.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76494 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(2\/(-12)). Suppose -q = -3 + 2. What is the first derivative of -4*c**3 - 1 + u*c**3 - q wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 3*b + 4. Let r(i) = -i - 3. Let m be r(-6). Let v be z(m). Suppose 3*q = v*o + 8, 4*o + 5*q + 8 = 2*q. Which is smaller: -3\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 80499072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 - -5 - 25)) + 2389 + -2402.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11894 + 11898. Let k(j) be the second derivative of 0*j**2 + 18*j - 11\/6*j**3 + 5\/2*j**a + 0. What is the second derivative of k(m) wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/7 and 1080.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*r + 1918, -c = 3*r - 835 - 316. Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:10 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13653*g + 3064 = 13612*g + 604 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 104, 82, 40, -28, -128, -266?\n\"Answer: -p**3 - 4*p**2 - 3*p + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 245*x**5 - x**2 + 399*x?\nAnswer: 4900*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -683, -2710, -6081, -10796, -16855, -24258, -33005?\nAnswer: -43096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - 2*q**3 + 6*q**3 - 13*q**2 - 2*q**3 as t + g*q**2 + z*q**3 + w*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 7*i + 0*i)*((-6*i - i + 5*i)*(-2 + 2 - 2) - 82*i + 53*i - 25*i) to the form d + n*i + u*i**2 and give u.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2787*x + 359*x + 1146*x - 3369*x - 1414*x.\nAnswer: -6065*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 4888*l - 14673.\nAnswer: (l - 3)*(l + 4891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -12 = -4*o, k*o - 30 = -3*m - 0*m. Let t = 1 - m. What is the nearest to -1 in t, 2\/11, 2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.92 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - 5. Let l(t) = t**2 + 3. Let f(p) = -10*l(p) - 6*m(p). Let d(k) be the third derivative of k**4\/24 - 2*k**2. Give f(d(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1036)\/(-26) - 12\/(-78)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32010 + -2?\nAnswer: -32012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -23. Suppose -x - 16 = 4*u. Let g be u\/(-51)*2\/3. Is 0 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -710\/9, 0.3, -0.4, 3 in ascending order.\nAnswer: -710\/9, -0.4, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16151 + -4 - (-40)\/(-40).\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*p - 4*r, 3*p - r = -50 + 60. Let g(o) be the third derivative of 1\/2*o**3 + 0 + 1\/24*o**4 + p*o**2 + 0*o. Calculate g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 not equal to 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/4)\/(f*f**(-2\/3)))\/(f**3*((f*f\/f**4*f)\/f)\/f)*(f\/(f\/(f\/f**(3\/7)))*f)\/f**(-2\/7)*f**(4\/7)*f**4*f assuming f is positive.\nAnswer: f**(701\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*o - 3*i**2*o + 47319*i**2 + i*o - 137*o - 3194 wrt i.\nAnswer: 3*i**2*o - 6*i*o + 94638*i + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjvjeejjjejgv. Give prob of sequence vv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11187 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.153 - 0.535?\nAnswer: -0.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*v + 4*m - 18, -5*v + 3*m + 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v + 15. Let o(h) = h - 1. Let w(u) = -b(u) - o(u). Let p be w(3). Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505 + 631 = 21*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -14*z + 24*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 - -37) + (-7 - -3). Let z = k - -63. Calculate the lowest common multiple of 60 and z.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/20)\/((-1)\/(-70)). What is the highest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*b - 19, 5*b - 1 = -0*n + n. Suppose -3 + 3 = 4*p. Solve u = -4*i, p = -3*i + n*i - 5*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336931 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44582759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = -6. Let l be 3\/6*-2*g. Calculate the common denominator of (-3)\/l*98\/(-108) and -23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 4*k**2 - 2*k - 6. Calculate the lowest common multiple of c(-3) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + o + 0*o - 7*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/(-3) + (17 - 10). Sort -1\/26, 0, k, 2\/3 in descending order.\nAnswer: 2\/3, 0, -1\/26, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3385*f = -3*n + 3387*f - 20, 0 = 5*n - 2*f + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -91*n + 36. Let b be v(-3). Let x = b + -102. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-3\/4))\/f)**(-38))**28 assuming f is positive.\nAnswer: f**798","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/36)\/((-1)\/(2*10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*w**2 - 1 + 492*w - 492*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171 and 4.42.\nAnswer: -755.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 1\/2 (c) 146 (d) 3\/8 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:55 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -24, -43?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -336 (c) -3 (d) -0.09 (e) -1222 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 26*f + 42 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 8 = 2*j + 18, -181 = -3*f + 2*f + 59*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -136769420 divided by 4\nAnswer: -34192355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) 0.01 (c) 0.1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*b = 4*b - 5, i = b + 5. Let z(r) be the third derivative of 0 - 1\/12*r**4 + 0*r + 1\/60*r**5 + i*r**3 - r**2. Let z(f) = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 + 5*m**2\/2 - 10*m - 9. Does 11 divide k(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 51720865.\nAnswer: 51720864.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 16*n + 2. Suppose -3*z = 14 + 31. What is the remainder when q(z) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1432.784 to the nearest ten.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let o = -2\/835 + 29237\/5010. What is the common denominator of (-2)\/v + 45\/21 and o?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -272 + 19c?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 5 = l + 2*w, 4*l = -4*w + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-4))\/3)\/((-7)\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 - 4*m**4\/3 - 4*m**3\/9 + 32*m**2\/9 + 2*m\/3 - 20\/9 = 0. What is m?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 9:34 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Suppose 0 = -i*z - 32 + 192. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*x - 2, 0*a + 4*x - 4 = -3*a. Suppose -3*v + 23 = 8. Suppose 4*y - h - 12 = 0, a + 2 = -v*y - 4*h. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 27707*h**2 - 21*h**3 + 27814*h**2 - h as a*h + x*h**3 + l + s*h**2 and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 6, p: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -38*h - 38*h - 30*h + 107*h + 18. Let r be i(24). Suppose 51 = 3*u + r. Solve 0*j - 2*j - u = s, -5*s - 21 = 4*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 + 16. Let m = -11 - d. Suppose -m*q = -1 + 14. Does q = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - (4 + -169)\/(-15). Suppose 3*x - 12 = -3*z, 9 = 4*z - x - 2*x. Solve f - m + 2*m = -3, -f - z*m + l = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 3:23 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 54+-325423535\nAnswer: -325423481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20903378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-3)\/(-18)*-2. Let w = s + -2. Let n be ((-1)\/(-2))\/(w\/(-18)). Solve -5*i = -n*r, 0 = 3*i - i - 5*r + 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v - 18. Let x be a(2). Solve 3*j - 2*o + 0*o + 5 = 0, x = -5*o + 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 12 = -5*p + 3*o, 0 = 4*p + 5*o - 30. Suppose 67 = -p*n + 6*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 367*f - 372*f = 16, 2*p - 4*f - 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 1. Let m = 1 - 4. Let f be m - o - (-24)\/9. Which is the nearest to f? (a) 1 (b) 0.4 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 20901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - i + 2. Suppose 44 + 44 = -2*y. Let q = y - -46. Give x(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12 + n + 10*n - 3*n + 29. Let q be y(-5). What is the common denominator of -1 + q + -3 + (-475)\/(-160) and 87\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247093, 247093, 247079, 247045, 246985?\nAnswer: 246893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1791299*m. Let g(p) = 5*p. Determine g(z(h)).\nAnswer: -8956495*h","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7100)\/(((-4)\/4000)\/1). What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 3*a**5\/20 + 2*a**4\/3 - 11*a**3\/2 + a**2 - 35*a - 58. Let w(u) = 2*u**3 + 5*u**2 - 22*u + 1. Determine 5*o(p) - 8*w(p).\nAnswer: -p**3 + 11*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -252416896 divided by 252416896?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o - 20*o - 12. Solve 0 = -o*q + 3 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 37376331?\nAnswer: -37376325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/114245 and 8\/22849.\nAnswer: 114245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 251 = -y + 1037, 3*z - 2*y - 482 = 0. Let x = 173 + z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333781.\nAnswer: 19, 70199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 7822*g + 7825*g = 2, -8*z - 6 = -5*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + m = -42, 5*m - 6*m = -p - 12. What is the biggest value in 4\/5, p, 2\/49?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 781.68 + -784. Let r = 3.111 + y. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 3 - 4 - 1. Let i be m(-5). Solve 3*y**2 - y**2 + y - 2*y + i*y = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1*o**(1\/4))\/(o\/(o**0*o))**(-11) assuming o is positive.\nAnswer: o**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d + 0*d - d)*(-d**2 + 6*d**2 - 3*d**2) + 3*d**3 + 2 - d**3 - 5*d**3 to c + i*d + h*d**3 + z*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjjjjjjjjjjcj?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btzt when four letters picked without replacement from {b: 4, z: 2, n: 1, t: 3, u: 6}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.01 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7774 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from jgpjhvghgggbjjvghv.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {r: 6, e: 2, v: 1, c: 4, y: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 + 2*o - 6 - 2. Let c be g(4). Suppose 0 = -5*n + c*d + 56, 5*d + 38 = 7*n - 3*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 883\/38?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337 and 375449678.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.67464mm in meters?\nAnswer: 0.01267464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*p + 10*p + 2*p**2 + 28*p + (-5*p - 2*p + 4*p)*(3*p + 3*p - 5*p) as x*p + a*p**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -71b1?\nAnswer: 71a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + -29 + 27 + 18 + (35 - 57).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*m + 382*m - 4984 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 7) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.51, 1\/53, 4, 0.242?\nAnswer: 0.242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**3\/6 + 3*h. Let m(u) = -u. What is m(y(b))?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -640, -1484, -2674, -4204, -6068?\nAnswer: -8260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -167*p + 234 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/((-90)\/(-4)) - 806\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/63)\/(1 - 66\/84)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1 - 3\/3). Suppose 2*s = 4*a - 3*s + 9, -2*s - 12 = a. Let i be 12\/10*(-80)\/a. Solve i = y*v + 4*b, 2*v - 8 = -0*v + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18 - -8) + 2 + 0 + 1. Let r(d) = 2*d**2 + 12*d + 11. Let a be r(m). Suppose a = 2*v + 19. Solve -v*q - 4 + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 568.\nAnswer: 25\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 minutes after 2:22 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z + 32. Let k be o(-2). Let f be 2\/k + 5*(-13)\/260. Solve -4*v - 18 = 5*w, -5*w + 4*v - v - 4 = f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j - 19*j - 74 = 61 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, -59.\nAnswer: -59, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2592 = -205*l + 199*l. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 63 = 3. Let q be m - 16 - (1 + -14). Solve -3*i + q*i - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 117669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 173 times -27\nAnswer: -4671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1455 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, -3\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 169514352 divided by 2394\nAnswer: 70808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/12 + 27*w**2\/2 - w. Let p be r(0). Suppose -5*g = 2*u - 18, -2*u + p = u - 3*g. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24815 + 1628?\nAnswer: 26544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -7)*((-33)\/12 - -2). Let s be (i - (0 + 4))*-16 + 0. Calculate the greatest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2. Let q(y) = 33*y**2. Let s(a) = 5*q(a) - 21*v(a). Let i(d) = -16*d**2 + 21*d**2 - 6*d**2 - 15*d**2 - 2*d**2. Determine s(i(n)).\nAnswer: -972*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b + 1)*(3*b**3 - 5*b**3 + b**3) + 260*b**4 + 3245*b**4 + 666*b**4.\nAnswer: 4172*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5166*v**2 + 8385*v**2 - 3538*v**2 - 400844*v + 400844*v in the form p*v + c + w*v**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/40 and 103\/66255?\nAnswer: 530040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -257603 + 3?\nAnswer: -257600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (3 - (40 - 15)) + -5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -73*l + 6180. Determine g(83).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 104*s**2 - 2581*s + 138. Determine j(-63).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 129310.\nAnswer: -129310.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.128862772 - 9184427.\nAnswer: -9184426.871137228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 13) + 11 - (0 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 6. What is the remainder when 37 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172905.33 months to millennia.\nAnswer: 14.4087775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 187 = -353. Find the common denominator of 708\/o + -8 - (-1783)\/210 and 38\/(-4)*2\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 4820413?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/14*(-15)\/((-1080)\/(-63)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*q - 987*q = 784 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5082, -5, 4\/3, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 62*g**2 - 174*g - 14. Calculate m(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2752?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c + 251. Let o be b(17). Let g be o*6\/(-4) - (-1)\/(-1). Solve -2*k = g*u - 1 + 11, 5*k = u + 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172 - -223. Find the third derivative of w*t**3 + 117*t**4 + 4*t**3 + 3*t**3 - 116*t**4 - 151*t**2 wrt t.\nAnswer: 24*t + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = 5*g. Solve 0*l = -q - 2*l + 7, -g = -2*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*x - 27, -2*x + 38 = 4*f - 0. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 1 + 1 + (5 - 3 + 0)*(2*x + 0*x + 0*x) + 16*x + 6*x + 5*x + 4*x - 4*x + x as m*x + i and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-2\/3)*m*m**4\/m*(m*(m*m\/m**(-2\/7)*m)\/m)**(1\/33)*((m\/m**7)\/m*m*m**(-4))\/(m**6*m**(-8\/3)) assuming m is positive.\nAnswer: m**(-2056\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 5291535.\nAnswer: 5291539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87033944729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*j**3 - 3*j**2*v**2 - 155*v**2 - 1 wrt j.\nAnswer: -171*j**2 - 6*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84419.\nAnswer: 29, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -3) + 3 + -4 + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4 + 30*k**3 + 168*k**2 + 416*k + 384 = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = 2*y - 30, 31 = u + y. What is the highest common divisor of u and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(2390\/(-6))\/(-5). Suppose 0 = 2*s - q - 275. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -13*5\/(-25)*10 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 35*r**2 - 345*r + 63. Let b be q(43). What is the greatest common divisor of 32 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2654810 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**2 - 3\/16*q**4 - 3\/4*q**3 + 6 + 3*q. Let y(a) = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 40 = -3*g. Suppose 3*j - 4*t = -0*t + 41, -g*j + 115 = 5*t. Let s = 5 - -1. Calculate the remainder when j is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3615 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 - 6752*n**4 - 13*n**3 + 2563*n - 243?\nAnswer: 40*n**3 - 81024*n**2 - 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/(-49))\/(-8)*14\/36.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 8:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u + 65 = 5*f + 62*u, -77 = -5*f + 3*u. Solve 10*l + 21 + f = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/132 and 115\/135168.\nAnswer: 135168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -773791 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 3\/25 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 225113743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22841 greater than 22842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.706 - -1.606. What is the closest to r in -1, 10\/3, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = 3*w - 31*v - 2917, -2*w - v + 1943 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700353.\nAnswer: 3, 25939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/12 + 5*n**3 - 5*n**2. Let k be w(-14). Suppose 12 = 2*s + 4. Solve -k*p + 8 = -s*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(6\/12) - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586865 is divided by 267?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 2, -106, 64, -2\/7?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8*m + 3170 = -y, 5*m + 2114 = 2*y. What is the lowest common multiple of y and 54?\nAnswer: 3186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3 + 46 = 6*u - 5, 27*u - 13*u - 116 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/233669 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17609?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -235, -541, -969?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52767 and 1187032.\nAnswer: 138882744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-514)\/771 + ((-4)\/6 - (-186)\/153).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5306 - 264402?\nAnswer: -256063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/10)\/((-6)\/20). Let g = 26 + v. Let z be 8236\/284 - 1*15. Calculate the greatest common divisor of z and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i + 1. Let b(y) = y**3 - 6*y**2 - 5. Let p(t) = b(t) + w(t). Let h be p(5). Solve 4*d = 5*d - h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 932 = 4*n, -27 = n - 5*k - 252. Suppose -5*u = -n - 235. What is the remainder when u is divided by 2\/4 + (-434)\/(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, -1, -59, -3, 5 in decreasing order.\nAnswer: 202, 5, -1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4340 and 12950?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4, -2*o - o = 3*y + 2322. Let z = o + 1789. Suppose 0 = -2*w + w - 4*f + 199, -z = -5*w + 4*f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 2:18 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 109 + -22?\nAnswer: e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 759176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**4 - 3*a**3 + a**2 - a + 2. Let j(n) = 4*n**4 + 150*n**3 - 158*n + 4. Let i(c) = -4*d(c) + 2*j(c). Factor i(p).\nAnswer: 4*p*(p - 1)*(p + 1)*(p + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 12 - (1 - -1) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 + 7*s**3\/6 - 3*s**2 - 6*s. Let i be g(-8). Solve 0 = w + i*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17973, -1\/4, 0.4, -4\/3 in decreasing order.\nAnswer: 0.4, -1\/4, -4\/3, -4, -17973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3253 divide 324278558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*i + 138 = h, -138 = 3*h - 5*i. Let y = -82 - h. Let r = 73 + y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 3. Let a(u) = -7*u - 1. Let l be a(1). Determine w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11791, 158, 8, 0.2 in ascending order.\nAnswer: 0.11791, 0.2, 8, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -3\/7, 4\/5, -3, 2261.1, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*h + 4. Sort 1, -14, h in increasing order.\nAnswer: -14, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**2 + 0 - 18245*v**3 + 0 - 30*v**2 + 18256*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/60*3*(-95175)\/(-5076).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i - 219 + 437 = 218. Solve g - 6*f = -3*f - f, i = 3*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 13*b**2 + 39*b - 15. Let d(n) = -n**3 + 6*n**2 + 20*n - 7. Let k(c) = -11*d(c) + 6*x(c). Let t be k(13). Is -1 + t - 2 - -710 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -529 - 98 = -11*n. Which is bigger: 56 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 807 by 139972.\nAnswer: 807\/139972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 10*f - 13. Suppose -760 = -24*c + 4*c. Suppose 4*z - n = n + c, 12 = 4*n. Calculate r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -4*b**5\/5 - 5*b**4\/12 + 5*b**3\/6 - 7*b**2\/2 - 665*b. Let j(a) = -8*a**3 - 3*a**2 + 3*a - 4. What is 5*j(n) - 3*o(n)?\nAnswer: 8*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33*((-48)\/(-9))\/4. Let r = p + -21. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:17 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729\/26781*8\/(-44)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1410 + 2073. Is 39 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 + -5.7. Let y = 6.98 + r. Let t = y + 0.0199998. Round t to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15.2 (b) 17 (c) -9\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**2 + v + 2. Let r(k) = 2 + 3*k + 0 - 3. Let w(m) = 233*m - 22605. Let q be w(97). Determine q*r(n) - 5*o(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 1086*m**2. Let b(r) = -475*r. Calculate o(b(j)).\nAnswer: 245028750*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 1177?\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3*s**2 + 4*s + 4. Let g be z(-3). Let i(v) = -2*v. Does 16 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350 (base 11) to base 10.\nAnswer: -418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 203777*i**3 + i + 203644*i**3 + 30*i**4 - 26*i**4 to the form g + y*i**4 + s*i**2 + h*i**3 + z*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -144.352.\nAnswer: -72.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 5. Let j be o(0). Find the second derivative of -7*c + 6*c - 5*c + 6*c**j wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 - 5*y + 6. Calculate the remainder when r(4) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*1)\/((-12)\/(-30)*-5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 39*r + 225. Give a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -202\nAnswer: 202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10206 and 102060?\nAnswer: 102060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 36.9. Round a to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12*r**3 + 32*r**2 - 60*r - 80. Let o(z) = -4*z**3 - 11*z**2 + 20*z + 27. Let b(d) = 3*h(d) + 8*o(d). Suppose b(p) = 0. Calculate p.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -41*m + 4. Is s(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3*s + 11. Let u be -5 + (2 - (-4)\/(-2)). Let c be t(u). Is c not equal to 2\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 15. Suppose -4*m + 3 - 11 = -4*j, -r*j + 2*m = -9. Suppose 0 = -j*x - 20, -3*x = l + 6 - 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 36, 54, 72?\n\"Answer: 18*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*m - 3453 = -72*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 6*y + 8. Let l be x(-4). Suppose l = -24*k + 20*k + 32. Suppose -4*r + k = 4*j, 3*j + 2*r + 2*r = 5. Solve -4*t = 15 - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 3)*(-q - 8*q + 0*q) to the form r + u*q and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/15)*s**(-8))\/(s**(-1)\/(s*(s*s**(-16)*s*s)\/s)) assuming s is positive.\nAnswer: s**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 0, -76, -328 in ascending order.\nAnswer: -328, -76, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119241*b = 119239*b + 5*u - 20, -6*u = -3*b - 24 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 4304?\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*-5\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/15 + 11*j**4\/24 + 5*j**3\/2 - 3*j**2. Let h(i) = 5*i**2 + 11*i + 16. Let a(n) = 5*h(n) - 6*x(n). Does 2 divide a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-25580)\/140 + 4\/(-14). Let m be (f\/29707)\/(0 + 6\/4). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73040 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/(-8))\/(69\/12 + -6). Suppose 3*v + 4*v = -s. What is the units digit of (-1)\/(((-12)\/3)\/(-36)*v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/9 (b) -2 (c) 1\/3 (d) -1\/2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 650 - 710 = 0. Let z(u) = u**3 + 10*u**2 - 11*u - 10. Let w be z(-9). Calculate the greatest common divisor of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/692000 and -19\/1950.\nAnswer: 26988000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + 4.2. Let k = 0.4 - j. Which is the second biggest value? (a) -0.1 (b) k (c) -3 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13988665, -13988655, -13988639, -13988617, -13988589, -13988555?\nAnswer: -13988515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-51) - 2\/(-12). Which is the third smallest value? (a) -0.5 (b) u (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 9 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 25*d - 100 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 326, 175, -86, -463, -962, -1589, -2350?\n\"Answer: -r**3 - 49*r**2 + 3*r + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f - 18 + 13*f - 7*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(75\/12*(-2)\/(-35)). Factor -16\/5*a - 16\/5 + 48\/5*a**2 + a**4 - n*a**3.\nAnswer: (a - 2)**3*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + 7124. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12570, -50175, -112850, -200595, -313410, -451295?\nAnswer: -614250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 4\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2.2035.\nAnswer: 4.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -142 + (-20 - -179) - ((2 - -1) + -11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n. Let z(x) = 5*x. Let h(o) = -6*v(o) - 13*z(o). Let l(p) be the first derivative of -32*p**3 + 9*p**3 - 342 + 358. Calculate l(h(y)).\nAnswer: -69*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:08 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:05 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000063517 to seven dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 85937.69ms?\nAnswer: 85.93769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*p**4 - 14767*k**3*p**2 - 9110*p**5 wrt p?\nAnswer: -48*k**3*p - 546600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((-517)\/(-66) - 8). List the prime factors of (112\/7)\/s + 602.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/5 + 282*u**3\/5 - 5074*u**2\/5 + 28638*u\/5 - 39204\/5 = 0. Calculate u.\nAnswer: 2, 9, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4 + (2 - 3 + 3)*(-1 + 2 + 2) - 1 - 1 + 3)*(0 - 5 + 3)*(-b**3 + 2*b**2 - 2*b**2).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-24))\/((-14)\/21)*4. Let t = -1 + 0. Is q + 13 + t - (-80)\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.09, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 19*a**5\/40 - a**4\/6 + 7*a**3\/6 - 2*a**2. Let r(n) be the first derivative of p(n). What is the units digit of r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 393*m - 283*m - 1540 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 35 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5890 - 666 = -4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2726 and 0.1.\nAnswer: -272.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -484*l + 3003. Calculate k(6).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22993 divided by 395.\nAnswer: -22993\/395","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*u - 50*u - 359*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11845)\/(-2575) - 4736\/210 - -18.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*z, -4785*z + 2392*z = -2*u - 2392*z - 82 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 67*g**7\/42 - g**4\/6 + g**3\/3 + 3*g + 6. What is the third derivative of i(a) wrt a?\nAnswer: 4020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 8. Let n be a(-11). Suppose 0*b - n = -3*b. What is the remainder when 28 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 4. Let n = g + 13. What is the remainder when (n\/8)\/(1\/2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 786363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783 divided by 3?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 4*q**2 + 2*q**2 + (18 + 7*q - 18)*(q - 2*q + 0*q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, 0, 221.2, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -5701.1.\nAnswer: -9121.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:23 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 + 0 - (-18 - -14)) + 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0469 times -0.020893?\nAnswer: 0.0009798817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8709\/506 - -399\/23. What is the nearest to 0.1 in 0, -2, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*m - 9*m**5 - 3*m**4 + 3*m**4 + 5*m wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, -0.8, -0.2 in ascending order.\nAnswer: -352, -0.8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**11\/w)\/w**11)\/(w**(-3\/5)*w**(-1)) assuming w is positive.\nAnswer: w**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**4 + 6*j**3 - 5*j**2 + 4*j + 2. Let a(w) = 2*w**4 - 13*w**3 + 10*w**2 - 9*w - 5. Let l(n) = 2*a(n) + 5*y(n). Factor l(k).\nAnswer: -k*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0224 - -222.0224. Let j = f - 211.3. Round j to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 265 (b) -1\/5 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) -7 (c) 431.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 9*a**2 - 11*a**3 - 9*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -342929674924 and 617.\nAnswer: -342929674307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p + 1074 = -1076 + 680 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g = -56. Let f be 8\/14 + 12\/g. What are the prime factors of 10 - 12 - (-62)\/f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-5 + (-7 - -16) + -3 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1308*c**4 - 2*c**2 + 2*c**2 - 2*c**3 - 4 + 1303*c**4 to o*c**2 + w*c**3 + h + s*c**4 + i*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*a. Let o = -1 + a. Is 0 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49629, 47623, 45621, 43623, 41629, 39639?\nAnswer: 37653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2502640 = -140*a + 67*a - 145*a. Does 56 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30, -77, -132, -189, -242, -285, -312?\n\"Answer: s**3 - 10*s**2 - 24*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -331*m + 660*m - 60*m**3 + m**2 - 328*m - m**4 - 63*m**3 - m**4 in the form i + z*m**2 + y*m**4 + w*m + f*m**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 - 7 = 0. Let x = -3 - m. Factor 34*k**3 - 1 - 2 - x*k + 3*k**2 - 31*k**3.\nAnswer: 3*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21004*i**2 + 69*i + 2?\nAnswer: 42008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -7\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*n - 34 + 15 = 0, 0 = -3*n - 24. Solve -35 + w = -14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*j - 10, 0 = -3*d + d + 5*j - 22. Let q be ((-14)\/d + -2)*6. Suppose 0 = t + q*t. Solve 0 = -2*c + 4*p + 10, -c + 3*c + 4*p - 2 = t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 5*m = -291, -5*j = 4*m - 53 - 69 + 7 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/3 + u**2\/2 - u - 15. Determine s(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 3\/4*j**4 + 21 - 7\/3*j**3 + 7\/2*j**2 + 7*j. Let k(g) = -g**3 + 2*g**2 - 2*g - 2. Give -2*d(v) - 7*k(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24554 - 3?\nAnswer: -24557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -125. Suppose -2*s + 33 + 45 = 0. Suppose -4*w + 5*k = -62, -4*w + s = 5*k - 43. Calculate the remainder when z is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b - 9 - 5*b - b - b**2 + 2*b**2. Let v be x(-4). Solve 11 = -5*d - v*h, d - 5*d = -2*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + w - 1. Let i(u) = 3*u**2 - 5*u + 5. Let t = -100 - -110. What is t*q(c) + 2*i(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4912780, 9825563, 14738344, 19651123, 24563900, 29476675, 34389448?\n\"Answer: -q**2 + 4912786*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5989054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -494887\/24339 - 2\/8113. Find the common denominator of n and (-1 + (-2)\/(-3))*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 + 11941*z**4\/4 + 8823139*z**3\/4 - 33083271*z**2 + 78124500*z - 47250000 = 0 for z.\nAnswer: -1500, 1, 7\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*p - 16, y = 3*y + 4*p - 6. Suppose -y*q + 244 + 1007 = 3*o, 9 = -3*o. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 - (-5 - (2 - 5))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342192075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011 (base 2) to base 4.\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3*b**2 - b**2 + (2*b + 1 - 1)*(b + 1 - 1))*((3 - 3 + b)*(4 - 4 + 2*b) - 2*b**2 - 4*b**2 - b**2).\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4612987 greater than -4612986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 3*m**5 - m**5 + 3*m**3 - 3*m**3 - 2*m**5 + (3 - 7 + 3)*(m**5 + 0*m**5 - 2*m**5) + (0*m**3 + 2*m**3 - m**3)*(9*m**2 - 2*m**2 - m**2).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-76) + 14\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -14, -34, -52, -62, -58?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ca + 5?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 3*w - 3*w)*(3 - 2 - 2) - 3*w + 4*w - 2*w - 1 - 9*w - 1 - 3*w.\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5232744\/1085 at most as big as -4822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 2. Let m be (-272)\/(-44) - 6 - (-3)\/44. Let o = 0.03 - 3.03. Which is the closest to m? (a) u (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-9)\/(-18) + (-129)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.5, -2\/3, -3, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 22. What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + v + 9, 0*s - 24 = -3*s - 4*v. Suppose -s = -2*x + 2. Suppose -3*r + 3*q + 3 - 12 = 0, -r - x*q = -9. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -13, -19, -25, -31, -37?\n\"Answer: -6*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 5*z. Let n be h(6). Let t be (-4)\/n + (-22)\/(-6). Suppose -t*q = 4*l - 68, -2*q = 3*l - q - 51. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b - 107*b - 3*b - 3*b**3 - 2*b**2.\nAnswer: -3*b**3 - 2*b**2 - 141*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 90?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:41 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4\/2 + 31*t**3\/2 - 113*t**2\/2 + 137*t\/2 - 27 = 0.\nAnswer: 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k - 61. Let w be j(-18). Suppose 0 = 16*v - w*v - 30. Let m = 7 + v. Solve -h + 2*s + m = -2*s, -3*h - 2*s - 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8554 + -3683. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699879511 to the power of 1\/3, to the nearest integer?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818 - 272 = -10*y. What are the prime factors of y?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 729, 1659, 2589, 3519?\n\"Answer: 930*w - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(128)*-2 - -6*-1*sqrt(128) - ((sqrt(18) + sqrt(72)\/sqrt(4) - sqrt(2)) + sqrt(10)\/sqrt(5) + 5))**2.\nAnswer: 560*sqrt(2) + 9816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14072?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 15*g + 10 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322599?\nAnswer: 47, 49417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwl when three letters picked without replacement from bjwli.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f - 32*f + 7408 - 20080 = 15*f for f.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -801?\nAnswer: 7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319.238 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0604 or 145617?\nAnswer: 145617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m + 2. Calculate q(16).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 + -148 - (17 + 13 + -27)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 892\/36 - 4\/(-18) and ((3\/(-1))\/6)\/(150\/3030)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 26 = -2*v, -2*r = 2*r + 16. Suppose v = 3*n - 7. Solve n*o + 0*o = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5992 - -2.5292. Which is the nearest to -0.35? (a) -3\/4 (b) 4\/3 (c) 2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 14*f**2 + 13*f + 3. Let k(d) = -d**2 - 3*d - 1. Let y(p) = -j(p) - 6*k(p). Calculate y(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 4 + (-1 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -40, -144, -342, -664?\n\"Answer: -5*i**3 - 2*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j. Suppose -5*o + 14 + 11 = j. Let t = -5859 + 5862. Which is the closest to t? (a) -0.3 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 2*g**5 - g**2 + (-3*g - 8 + 8)*(-2*g**4 - 2*g**4 - 2*g**4) + (g**4 - g**2 + g**2)*(-104*g + 24*g - 13*g).\nAnswer: -77*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxvxxwxxxivivkxxwxw. What is prob of sequence wwxx?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 0.03 (c) -2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 198392*i - 2. Let x be h(-8). Let g = 6387138 + x. Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 406 = -5*a - 36, -2*a - 140 = -2*p. What is the second derivative of 282*k**2 + 49*k - 210*k**2 + p*k wrt k?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -482*z + 495*z + 14911. Which is bigger: z or -2293\/2?\nAnswer: -2293\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - w = -45, -w + 6*w + 15 = 2*f. Suppose -x + 5*x = -f. Is -3 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4886*d**2 - 70*d - 35. Let n(l) = -407*l**2 + 6*l + 3. Give 3*b(v) + 35*n(v).\nAnswer: 413*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*g - 6, 5*m - 10 - 5 = 0. Suppose -2*n = 0, -j + n - g + 6 = 0. Calculate the lowest common multiple of ((-11)\/(-2))\/(1\/2) and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**2 + 52*b*k + 5087*k wrt b.\nAnswer: -14*b + 52*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -775 (c) 0.3 (d) -0.04 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4816 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:35 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/3, 20, 1, -1.\nAnswer: -3, -1, 1\/3, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889 equal to -1428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/2*1. Let h(i) = 19*i**2. Let v(f) = -3*f**2. Suppose -125 = -5*g + 70. Let p(s) = g*v(s) + 6*h(s). Calculate p(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -6) + (-8)\/2. What is the closest to -2 in 0, 2, z, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 3*u = 33, 2*c + 3*u = 135 - 118 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321331412 (base 5) to base 12.\nAnswer: 554340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 20405*a + 4 - 4*a**3 - 20398*a - 2*a**2 + 5*a**3 + 9*a**2. Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 37*s + 3. Let x(l) be the third derivative of 73*l**4\/24 + 7*l**3\/6 + 2556*l**2. Determine 5*k(u) - 2*x(u).\nAnswer: 39*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**4 + 6*u**3 + 23*u - 6. Let o(c) = -9*c**4 + 13*c**3 + 46*c - 13. Let v(m) = 6*o(m) - 13*z(m). What is the second derivative of v(w) wrt w?\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 10:00 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 522, 2262, 5496, 10494, 17526?\nAnswer: 26862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 25*s - 25. Let j be i(-1). Solve -j = -g - 5*f, 6*g = 9*g - f + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 55*u + 2. Let p(g) = -29*g - 1. Give -10*p(h) - 4*x(h).\nAnswer: 70*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - -2) + 2 + -1 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 101 - (-20 - (2 - 13 - 28))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 130, 263, 394, 523, 650, 775, 898?\n\"Answer: -u**2 + 136*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 7*k - 5*k - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-16 - -22)) + 2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -11. Let u(f) be the third derivative of 0*f + z + 0*f**3 - 1\/6*f**4 + 2*f**2 + 1\/30*f**5. Factor u(r).\nAnswer: 2*r*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1433302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times -84\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 - z**3\/6 + z**2 + 8*z. What is i(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.41606 nanograms to kilograms.\nAnswer: 0.00000000009641606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1618634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*sqrt(171)*-2)\/(sqrt(9) + -2*(sqrt(9) - sqrt(27)\/sqrt(3)))*-2)**2 + 2.\nAnswer: 30402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jll when three letters picked without replacement from lllj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 0*p + 33*p**2 + 48*p**2 - 78*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*j - 76*j = 578 + 1116 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355164937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 - 10*p + 1. Let v = -311 - -605. Suppose 91 = 301*d - v*d. Calculate the remainder when z(10) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times -7.282\nAnswer: -16.7486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -p + 20115, -100597 = 36*p - 41*p + 3*r. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 18, 213, 636, 1365, 2478, 4053, 6168?\nAnswer: 8901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(304)*1 + 5 + (sqrt(304) - (1 + sqrt(304))**2 - sqrt(304)) + sqrt(304) + sqrt(304)*-6 + -4 + -1.\nAnswer: -305 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.51 (b) 0.5 (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7627, -9.\nAnswer: -9, -3, 7627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742 and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19173868?\nAnswer: 2, 7, 691, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from xjjjwjxjx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7568 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {k: 3, p: 6, d: 3, y: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*22575\/1806?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6500.017 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -10*m - 77. Determine n(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**3 + 4*s**2 + 4. Let n(v) be the third derivative of 7*v**6\/60 + 3*v**5\/20 + 3*v**3\/2 + 10*v**2 + 6. Give -9*f(h) + 4*n(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6912, 0.4, 456.9, 5?\nAnswer: -6912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2aa9a18?\nAnswer: -2aa9a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25b78 (base 13) to base 4\nAnswer: -101012301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28*l**2 - 35*l - 35. Let b(y) be the third derivative of y**5\/60 + y**4\/24 + y**3\/6 + 2*y**2 + 209*y. Calculate 70*b(p) + 2*f(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-94)\/(-5))\/((-4)\/(-80))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)*o\/(o*o\/o**(-4)) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 30 + 46 = 0. What is the remainder when 35 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 3*m + 3. Let i be l(3). What is the units digit of ((-494)\/i - 2) + 20\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6050) + sqrt(6050)*3)*-2)\/(sqrt(640)*1 + sqrt(640) - sqrt(640) - (sqrt(10) + 1*sqrt(640))).\nAnswer: 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 44 = -6*s - 2*h, -4*h = -2*s + 12. Let f be ((-204)\/(-85))\/((-21)\/s). Which is the biggest value? (a) -6 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*c**2 + 7*c**3 + 115*c**2 + 101*c**2 + 88*c**2 to the form q + p*c + u*c**2 + h*c**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1509*i**3*r**2 + 2*i**3 - 3879*r**2 wrt i?\nAnswer: 4527*i**2*r**2 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*z. Suppose z = -3*m - r + 6, r + 2 = m. What is the third derivative of 15*p - 3*p**6 - 2*p**m - 15*p wrt p?\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2203006, -3, -1 in decreasing order.\nAnswer: 2203006, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1737? (a) 9 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31227428 a multiple of 3119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.810086 weeks?\nAnswer: 4118740012800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989824.\nAnswer: 2, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3686754\/7 greater than or equal to -526679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x - 331 = -257 - 1658 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2. Let f(y) = 3*y**2. Let i be 1*-3*6\/3. Let m(d) = i*f(d) + 5*a(d). Let v(w) = 33*w**2. What is v(m(l))?\nAnswer: 132*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2\/3*1. Suppose -90*f + 94*f - 4 = 0. Let l be (-6)\/(-21) - (25\/(-35) + 2). Which is the second smallest value? (a) w (b) f (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59663758 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.1, 0.32, -4\/9, 0.5, 0 in descending order.\nAnswer: 0.5, 0.32, 2\/9, 0.1, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5026135.64 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8046+5\nAnswer: -8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-226)\/339)\/(6\/(-261)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21120 and 5480310?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0.4 (b) 1\/6 (c) -5.12 (d) -262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 7) to base 13\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.19455 + -0.194563605. Round y to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 7*y + 4. Let r(d) = -6*d**2 + 15*d - 9. Let u = -1 - -62. Suppose 2*j + u = 5*z, z + 3*z = -2*j + 56. Give z*b(n) + 6*r(n).\nAnswer: 3*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddmddmdddm?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(176) + sqrt(11) + -3 + sqrt(176)*1 + -4 + (2*sqrt(704) - (sqrt(1100) - -1*sqrt(1100))**2 - (2*sqrt(352))\/sqrt(2)).\nAnswer: -4407 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447138 is divided by 1727?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(0 + sqrt(300))*-3)**2.\nAnswer: -21600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 9)*3\/(-2). Let b = 2 + u. Suppose -r = r - b. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473 divided by 1\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/75)\/(i*i**1) assuming i is positive.\nAnswer: i**(-152\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*sqrt(228) + sqrt(228)))\/(sqrt(108)*2).\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2323, 2325, 2327, 2329?\n\"Answer: 2*x + 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 19. Let x(r) = -1. Suppose -2*i = 3*f + 15, i = 5*f + 4 + 8. Let d(p) = f*x(p) + s(p). Calculate d(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1737 + -2.3737. What is the nearest to t in 8, -6, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*m*o + a*o**3 + 1422*a + m*o**3 + 80*m*o + 67*m wrt a.\nAnswer: -m*o + o**3 + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.1 - -4. Let c = 0.17 - -10.83. Let y = c + -16. What is the second smallest value in 5, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*1)**2 + 1 + sqrt(308)\/(sqrt(7)*-1).\nAnswer: -2*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from cccicijcwwccjjicic.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 680*z**3 + 7495*z**2 - 5980*z - 104160 = 0.\nAnswer: -3, 7, 8, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 + 11*w + 0*w**2 - 1\/24*w**4 - 1\/12*w**3 - 1\/160*w**5. Find q such that a(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103696368*z**5 + 70708677*z?\nAnswer: -2073927360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z**3\/3 + 52783*z**2\/3 + 56246*z\/3 + 1184 = 0.\nAnswer: -592, -1, -6\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 352*g**3 - 4*g + 2997*g**3 + 2444*g**3.\nAnswer: 5089*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3646, 7277, 10908, 14539, 18170, 21801?\nAnswer: 25432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j - 4. Suppose 83*i - 81*i - 6 = f, -4*f = -4*i + 12. Solve l - 17 = -0*y - 5*y, f = j*y - 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 2164084417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*-1*82\/738.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1150795 and -161\/8850?\nAnswer: 34523850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:19 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1712400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 19263.2, 14\/3 in increasing order.\nAnswer: 14\/3, 5, 19263.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1635614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(84) - 2*sqrt(84)))\/((sqrt(12) - -1*sqrt(432)) + sqrt(12)).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + i**2)*(-90*i**3 - 3169*i + 3169*i).\nAnswer: 180*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -58.\nAnswer: -58, -23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2. Let r(z) = 2971*z**2. Calculate o(r(w)).\nAnswer: -8826841*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257264 to the power of 1\/2, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1805430 divided by -10\nAnswer: -180543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-27))\/((5\/540*-6)\/2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 36 - 38 + 0*i**2 - 5*i**3 + 6*i**3 + i**2. Is 15 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 7*a**2 - 21*a + 38. Give y(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*t - 2*t + 0*t)*(1 + 2 - 1) + 7*t - t - 2*t)*(2 + 2*t - 2)*(0 + 2 - 4).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 5. What is s(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31295*l**6 + 3*l**2 + 159*l wrt l?\nAnswer: -3755400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**2 + s - 2. Let c be w(1). Suppose -5*q + 6 + c = 0. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39321 and 306?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 + 373 = 9*i. Suppose 4*h - 13*h = -i. Calculate the remainder when 26 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -48 - 37 - -99.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-10))\/((-81)\/45). Sort j, -5, 0.5, -3\/2 in descending order.\nAnswer: 0.5, j, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757518 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8064 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342*t**3 + 2973*t**3 - 6900*t**3.\nAnswer: -2585*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 9, -1, 51 in ascending order.\nAnswer: -7, -2, -1, 9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 11*m**3\/6 + 3*m**2 - 32*m. Let h be d(-12). Let s = h - -133. Calculate the greatest common divisor of s and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/503532 and -58\/7930629.\nAnswer: 31722516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**7\/420 + b**6\/180 + b**5\/60 - b**4\/12 + b**3\/3 + 2. Let m(z) be the third derivative of v(z). Let m(n) = 0. Calculate n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 15*p**3 + 21*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 3*z**2 - 6*z**2 + (0 + 2*z + 0)*(-z - 1 + 1) - 26*z**2 - 1828 + 1828 - z**2 + 0*z**2 + 3*z**2.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0508 + 443.0508. Let t = f - 430.14. What is t rounded to one decimal place?\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -23. Suppose 3*k - 4*q - 20 = -0*k, -a*q = 5*k - 80. Let j be ((-230)\/(-8))\/(3\/k). Calculate the greatest common factor of 46 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/899 and -81\/90248?\nAnswer: 2797688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953757988 to the nearest integer?\nAnswer: 30883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 29. Suppose 0 = -i - 38 + 14. Let j be m(i). Let o(h) = -h**2 + 6*h + 4. Give o(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/7 and 6\/39 - (-1155)\/(-325).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-536)\/670 + (-201089)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10990)\/(-125) + (-112)\/(-1400). Calculate the greatest common factor of s and 2189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, -0.6, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-22) + 50\/33)\/(-6). Let x be 2\/5*30\/21. What is the biggest value in u, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(23408\/(-330))*-8?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2 + 76*q + 76*q - 228*q + 73*q to the form v + o*q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -10 (c) -3 (d) -1\/5 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -301, -5, -1\/3, 6, 0.1 in descending order.\nAnswer: 6, 5, 0.1, -1\/3, -1, -5, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -157. Let m(g) = g**2 - 1. Let t be m(1). Suppose t*s + 60 = 6*s. What is the highest common divisor of s and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 - (16 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**3 - 1\/14*r**8 + 0*r**7 + 2\/3*r**4 + 0 + 0*r**2 + 0*r**5 + 0*r**6 - 9*r. What is the third derivative of p(z) wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/880 and 93\/116.\nAnswer: 25520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.87.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 19 + 4. Let g(f) be the second derivative of 0 - f - 1\/6*f**v + 0*f**2. Let t(b) = 2*b**2. Determine t(g(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12353 + 2283 = 285*q + 245*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {v: 2, j: 1, h: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89382?\nAnswer: 2, 3, 14897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 8356032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -27, 222, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 11*r - 16. What is z(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((1350\/20)\/15)\/(10\/(-60))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -267196, -534391, -801578, -1068757, -1335928, -1603091, -1870246?\n\"Answer: 4*k**2 - 267207*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 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: Let u(k) = -k**3 - 21*k**2 + 55*k + 193. Determine u(-23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 812 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69202, -138296, -207274, -276136, -344882, -413512, -482026?\nAnswer: -550424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.003 + 0.403. Which is the closest to -2\/11? (a) -0.4 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.212519 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, r: 1, o: 1, x: 2}. What is prob of sequence lo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3831 - 3881 = -25*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1213.3 + 1213. Let w = 0.9 - 0.5. Which is the nearest to j? (a) -4 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 74\/4)\/((-6)\/16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 33.6. Suppose -4*r + 6 + 8 = d, -3*r + 3*d + 3 = 0. What is the third biggest value in r, m, 8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1652 + 1651. Suppose -5*g - 5*o - 4 = -154, -4*g + 114 = o. Let m be 6\/(-21) + (-13)\/g. Which is the nearest to w? (a) -1 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqjljjjl. Give prob of sequence jjql.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**3 - 16*g**2 + 28*g - 110. Let o be n(5). Sort 19, 3, 6, o, 1 in decreasing order.\nAnswer: 19, 6, o, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217600531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = 4*u - 7, 3*s - 6 = -2*u. Let v(f) = 76*f**2 + 2*f - 1. Let t be v(s). Round t to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*d - 4*d + 4*a, -4*d - 5*a - 3 = 0. Suppose -6*k + 8*k - 2 = 0. Let h be -5 + 2 + k - d. Solve h = -0*v + 3*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**2 - 5*m + 15. Let w be q(5). Let v = w - -185. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -421 - -470.8. Let y = h + -50. Put -2, -0.4, -5\/6, y in ascending order.\nAnswer: -2, -5\/6, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -3. Let o = 189 - 187. Let v be ((-2)\/(-12))\/1*3*o. Which is the nearest to v? (a) 0.1 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -9*p + 8*p, 4*c = p + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15979 and 125147528.\nAnswer: 125147528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*w + 63 = 0. Suppose w*j - 7*j = 6. Sort j, 0, -5, 9 in descending order.\nAnswer: 9, j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528431 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77197 and 4168638?\nAnswer: 4168638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 15 = 3*t - 3*i, -8*t + 1501*i + 34 = -33*t + 1498*i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/(l**(-1\/6)*l))\/((l\/l**(-21))\/l)**10 assuming l is positive.\nAnswer: l**(-1277\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257 + 5*x - 522 + 290)*(-2 + 0 + 1).\nAnswer: -5*x - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 125 - -1*(-1 - -2). Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4635\/32102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijkkikijkkiiiikj. What is prob of picking 2 k and 2 i?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -70*b - 15. What is the units digit of m(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2 (b) 4 (c) -1\/10 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171500 + -0.2?\nAnswer: 1171499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 197\/672 - -13\/96. Solve -15\/7*f - 18\/7 + k*f**2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1090.1 + -1090. Sort k, -0.3, 2\/9.\nAnswer: -0.3, k, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 8*h - 121 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 71 + -2 + 7 + 16 + (42 - 62).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(8\/(-15))*(-2)\/24. Factor -1\/4 - 3\/2*n - w*n**2.\nAnswer: -(n + 1)*(5*n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + j**2 + 2*j + 1398. What is the tens digit of s(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5000688, -10001377, -15002066, -20002755, -25003444?\nAnswer: -30004133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1570*n**2 + 1705*n - 2103*n + 2093*n wrt n.\nAnswer: -3140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**2 + 2*c - 1. Let d = -31 + 32. What is the smallest common multiple of b(d) and 27\/6*2\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(7 - 7 - 4*z + (z + 5*z - 4*z)*(-3 + 0 + 0) + (-3*z - 3*z + 7*z)*(2 - 3 + 2) - 3 + 3 - 2*z - z + 3*z - 3*z + z + 2 - 2).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oypofyfofpooffy. Give prob of sequence pp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(736915\/7600 + -97).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34880 (base 9) to base 4\nAnswer: 11230113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1299452, 2598890, 3898328, 5197766, 6497204?\nAnswer: 7796642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/10 (b) -1\/4568 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-190914)\/(-705))\/(4\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s + 8*s + 237*s**2 + 2 - 1. Is 32 a factor of n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38763338 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, g: 2, i: 2, x: 1}. What is prob of picking 2 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1572 and 14705012.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1423 is divided by 235 + (-18)\/72*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, s: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 + 6161721.\nAnswer: 6161667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 <= 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 5, w: 4, r: 4}. Give prob of picking 1 f and 1 r.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 1)\/(-4 - -5). Solve u = z - 4*r + 22, 4*z - 16 = -5*r + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17839518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**4 - 3328*v**3 + 26522*v**2 - 43068*v + 19872 = 0. What is v?\nAnswer: 1, 6, 1656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 60 = -3*a - 24, 0 = -4*a - 2*i - 90. Find the common denominator of (6\/165*5)\/((-2)\/20) and ((-278)\/a)\/(1\/(-2)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*w + 0)*(9 + 7 + 1 + (2 - 3 + 3)*(-2 + 0 + 4))*(0*w**3 - w**3 + 3*w**3) - 8*w**4 - 8*w**3 + 0*w**3 + 10*w**4.\nAnswer: 254*w**4 - 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -228, -3, 5 in ascending order.\nAnswer: -228, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74576 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/9, -641956, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, 0.4, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660, -661, -662, -663, -664, -665?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 96*f - 104. Let q be h(-49). Let o(n) = 7*n + 8. Determine o(q).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1046 - -178 - (-2 + 5). What is the highest common divisor of a and 1443?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqh when three letters picked without replacement from {q: 6, m: 5, t: 1, h: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1\/11)*y*y))\/((y*y**(1\/5))\/y*y))\/((y\/y**(-1\/2))\/y**(-2\/13)))\/((y**(-1))**23\/(y**1\/y)**(-4\/3)) assuming y is positive.\nAnswer: y**(27509\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 4, a: 1, w: 3, i: 1, z: 4}. Give prob of picking 1 w, 1 h, and 1 z.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -178654, 3, 66 in descending order.\nAnswer: 66, 3, -2, -178654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 8*u - 52, 74*d = 77*d - 3*u + 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:57 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*-56*(-9)\/(-36)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, -9, -0.06, 4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 23856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -38*h**3\/3 - h**2\/2 + 755*h - 392. What is the derivative of b(f) wrt f?\nAnswer: -76*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62398*l - 2 + 10*l**2 - 15*l**2 - 27*l**4 - 62366*l as p*l**3 + g*l**2 + h*l + j + t*l**4 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h + 4*h**2 - 177 - 180 + 16*h - 159 + 479.\nAnswer: 4*h**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 4) to base 5\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 788257467 a multiple of 1611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18873, 75545, 170011, 302271, 472325, 680173?\nAnswer: 925815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(13) + sqrt(13))*-1.\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*((3*-1*sqrt(396) - sqrt(396)) + sqrt(396))*-5)**2.\nAnswer: 5400*sqrt(11) + 3207625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let b(m) = 2 - 2 - 2*m**2 + m. Let l be b(1). What is the nearest to l in g, 5\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-42)*882784\/5630.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 21*l. Let z(t) = -8*t**2 - 20*t. Determine -5*u(r) - 6*z(r).\nAnswer: 3*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 divided by 3.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25712 is divided by 1506.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -70575 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 0.5, -2\/2699, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 7*f**2 + 6*f - 6. Let p be u(-8). Let b = 10 + p. Let d be -1*0\/(8\/2). Solve h + 4*h + b = d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 - 2*x**3 + 17*x**2\/2 - 4*x. Let r be u(-13). Solve 0 = -r*w + c + 4*c - 27, -c = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 3, i: 3, v: 6, q: 2}. What is prob of sequence rv?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 330 = -13*u. Let x be ((-2)\/(-21))\/(u\/(-99)). Sort -1, 13, x in decreasing order.\nAnswer: 13, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/5*5\/(-6). Let m be (-8)\/(-6) + ((-15)\/(-9) - 2). Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/3 + 670*k**2 + 448900*k + 300763000\/3.\nAnswer: (k + 670)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7900, -31737, -71502, -127225, -198936?\n\"Answer: -5*l**3 - 7934*l**2 + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 286*z**3 + 5*z**2 + 5. Let l(c) = 2288*c**3 + 39*c**2 + 39. Give 5*l(v) - 39*o(v).\nAnswer: 286*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + (20 - (-11 - -23)) + -17 + 9.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 15. Suppose 6*s - 5*r - 27 = 3*s, 6 = 2*r. Let o = s - d. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 607382 * 0.142\nAnswer: 86248.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 11*p. Let v = -1.66 - -1.26. Let s = -1 - -3. What is the nearest to p in 3\/4, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -31*i - 19. Let w(j) = 88*j + 54. Let l(d) = 17*b(d) + 6*w(d). Let q(g) = -6*g - 7. Determine -14*l(z) - 2*q(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164827 + 232123. Suppose -4*y + t = -2*z, 5 = 4*z - 3. Let b = y + -336433\/20. Find the common denominator of b and -57\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 14*v - 8. Let j be x(-13). Suppose t + 148 = 2*t + j*c, t - 118 = 5*c. Suppose 97 = 3*o - 2*k + 4*k, 4*o - k = t. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107452?\nAnswer: 2, 3, 175621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 d, and 1 k when three letters picked without replacement from {u: 2, m: 4, k: 1, d: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 228*s**2 - 19*s - 488. Is z(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -1.66?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026038 rounded to four dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019065 to five dps.\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5228785 or -5228787?\nAnswer: -5228787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 44. Let q(m) = -5 + 10 - x*m + 6. Let p(a) = a**3 + 14*a**2 - 32*a + 319. Let i be p(-17). Let w(j) = -5*j + 5. Calculate i*q(v) + 9*w(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994935387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 29 - 12 + 4*w + w**2 - 8*w**3 + 11*w**3 - 2*w**3. Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*5*-6*sqrt(567)*2 + -1 + 3)**2.\nAnswer: 32659200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 313 + 5?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2864, 5714, 8534, 11306, 14012, 16634, 19154, 21554?\n\"Answer: -3*n**3 + 3*n**2 + 2862*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1289083, -4 in decreasing order.\nAnswer: 5, -4, -1289083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 604588, 1209173, 1813758, 2418343, 3022928, 3627513?\n\"Answer: 604585*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -60317, -1\/21 in descending order.\nAnswer: 2\/5, -1\/21, -60317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117966517 and 3096973.\nAnswer: 1297631687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28631 greater than 57261\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20681 (base 11) to base 5\nAnswer: -1430342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*n**3 + n**3 - 2*n**3 + 2*n**2 - 2*n**2 - n**3 + (-n - 3*n + 3*n)*(-n**2 - 4*n**2 + 3*n**2) - 1 + 2*n**3 + 1 + n**3 - n**2 + n**2.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 65375*x**2\/3 - 5687627*x\/3 + 58 = 0.\nAnswer: 2\/65375, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3 + (16 - 980\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:53 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3588 = 3*q + 3598, 0 = 7*q - 5*m - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2678 or -2677?\nAnswer: -2677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 + 6*z + 1. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ae4 (base 15) in base 11?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -116a0a7?\nAnswer: -116a09c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1419601ug?\nAnswer: 0.0000000001419601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 133*y**4\/4 - 41*y**2 - 103. What is the second derivative of q(t) wrt t?\nAnswer: 798*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 12. Suppose -90 = 4*h - 30. List the prime factors of (-3)\/j + (-468)\/h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304550.50969+-49\nAnswer: 304501.50969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 16*q = 15*q, n - q = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2 + (3 - -1). Let r(g) = 4*g**3 + 2*g - 1. Let h be r(1). Let d(q) = -2*q - 6. Let i be d(-5). Sort a, i, h in ascending order.\nAnswer: a, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/g**24*g*g))\/(g**(-1)\/g) assuming g is positive.\nAnswer: g**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 11 = 32*l. Calculate the greatest common factor of 77 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w**2 - 4 - 1 + 5*w + 11*w**2. Let q be b(-5). Let k = q + 104. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**26\/d)\/d)**(1\/59)*(d*d**31)\/d**(-15\/2) assuming d is positive.\nAnswer: d**(4709\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 12:06 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/26428, -0.5, -0.4?\nAnswer: 3\/26428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.728 - -1.128. Let f(x) = -2*x. Let j be f(1). Sort d, -2\/13, j.\nAnswer: j, -2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 71*o - 95 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 39 = -5*t, -5*t = -10*n + 6*n + 53. Calculate the highest common divisor of 63 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 30*v - 71 - 9 = 0. Let z(d) = 2*d**2 - 3*d - 4. Calculate z(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0283599 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*r - 36*r - 10*r + (-4 + 2 + 4)*(-r - r + 0*r))*(-7 - 8 + 2 + 2).\nAnswer: 814*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -397*h*s - 9*s - 17 wrt h?\nAnswer: -397*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -29*z**3 - 201*z**2 + 12*z + 30. What is the remainder when 310 is divided by l(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 4720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/3 - 13302*l**4 - 39905*l**3\/3.\nAnswer: -l**3*(l + 1)*(l + 39905)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/7))\/c*c**(3\/14)*(c\/c**(-2\/17))\/c**(-12\/5))**(8\/11) assuming c is positive.\nAnswer: c**(16404\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-9) - (9 + (-230)\/30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 215*p**2 + 40*p - 120. What is the units digit of i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -216 times 4.032\nAnswer: -870.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 103, 160, 237, 340, 475, 648?\n\"Answer: b**3 + b**2 + 33*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 2*a - 9*a + 7*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2964, -4, -9, -46, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 31. Let o(y) be the third derivative of 1\/36*y**4 + 0*y + 0 - y**2 + 1\/180*y**6 + l*y**3 + 1\/45*y**5. Factor o(f).\nAnswer: 2*f*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58874625 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -10) + (-55 - -29) + 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 + 65*o + 215. Let n be j(-5). Is n > 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*c + 4*q - 40, 4*q = 3*c + 44. Let y(h) = 4*h + h**3 - 11*h**2 - 5 + 3*h + 2*h - 2*h**3. Calculate the remainder when y(c) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*35068\/1594.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 814 - -981. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*((x*x**3)\/x)\/x)\/(x\/x**(2\/3))*(x*x\/((x*x**(2\/7)\/x*x)\/x))**38*(x**0*x**(2\/15))**(-11\/3) assuming x is positive.\nAnswer: x**(21521\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1359, -3014, -4669, -6324?\n\"Answer: -1655*s + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s**2 - 3*s + 49. Suppose 15 = -5*y - 20. What is the hundreds digit of q(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3511\/32465?\nAnswer: -3511\/32465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/15)\/((-1)\/40). Let x = k - 11. Suppose x*y = 5*m - 22 + 72, -5 = -m. Calculate the remainder when 28 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195262868?\nAnswer: 2, 103, 473939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*t + 106*t = 26*t + 3059 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 97. Let v be d(6). Let c(i) = 2*i**3 + 2*i - 6. Let o(y) = -y**3 - 2*y + 7. Give v*c(m) - 6*o(m).\nAnswer: -8*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2372 - 2375. Which is greater: -0.045 or c?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69721.2kg to milligrams.\nAnswer: 69721200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 936, 1872, 2808?\n\"Answer: 936*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94431 + -94431.0042481. Round c to four dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6395.4 + -6395. What is the second smallest value in 1\/12, v, 1\/7, -5, 0.09?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 - 29 = 12*s. What is the remainder when 6705 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 16 - 106 = 0. Let j be (-2)\/(-6) + (-48)\/q. Solve 0 = j*r + 3*k, 0 = -6*r + 4*r - k + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 7*k**3 + 2*k**3)*(-2*k + k - 193 + 196).\nAnswer: 5*k**4 - 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 58\/32325 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -39*f**3 + 161*f**2 - 15*f + 20. Calculate b(4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 - 1186 = -13*m. Find o such that -43*o + 9*o**2 - m*o - 90 - 17*o + 299*o = 0.\nAnswer: -15, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677402?\nAnswer: 2, 11, 41, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -51. What is the tens digit of ((-6)\/o - -5)*71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-4)\/(-24))\/(131\/(-1572))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 1, e: 1, v: 2, q: 1, g: 3}. Give prob of sequence ve.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 254*u**3 + 7*u**2 - 5*u - 10. Let i(r) = 126*r**3 + 4*r**2 - 3*r - 6. Calculate 5*i(g) - 3*t(g).\nAnswer: -132*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3264 = 4*x, -2*x + 2*d + 1632 = 4*d. Let t(h) = 273*h + 1686. Let v be t(-6). Calculate the greatest common factor of v and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b + 2. Let y(j) = -2*j + 1. Let m(s) = 2*g(s) - 7*y(s). Let d(h) = h**2 - 8*h - 4. Let o = 14 - 5. Let r be d(o). Give m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2877 + -2241.2877. Let c = j - -2239.917. Let g = 1.03 + c. What is g rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01722682416 rounded to 6 decimal places?\nAnswer: 0.017227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 498769095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (-2 + 0 - 1)*(-1 + 4 - 1))*(-3 + 3 + 3*i**2).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 580864 from 3713.\nAnswer: -577151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**4*j*j)**(6\/7)\/((j*j\/(j\/j**(-10\/3)))\/((j\/(j\/(j*j**(-2\/15)\/j*j)))\/j)) assuming j is positive.\nAnswer: j**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -271521700 to the nearest 1000000.\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23367 greater than or equal to 23367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69.199552 + 69.2. What is y rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -34 + 27 + -7?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 2 + -9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gllggggggggg.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 + 3*n**2 + 30*n - 28*n**3 - 29*n + (2 - 3 - 1)*(4 - 1 - 8)*(4*n**2 + n**3 - 4*n**2) to the form x*n + k*n**2 + y + d*n**3 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160.058157*-2.\nAnswer: -320.116314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -4 + -1 + (-70 - (-35 - (-2 - 67)))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-11)*h*h)\/h**(3\/2)*((h\/(h*h**3))\/h)**42 assuming h is positive.\nAnswer: h**(-353\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)*m**(-2))\/((m\/(m**(1\/6)\/m))\/(m*(m**(-1)*m)\/m*m))*m*m**(-1)*m*m\/(m**(-8)*m*m)*m**(-3)*m*(m**(-2\/7)*m)\/m*m*m assuming m is positive.\nAnswer: m**(163\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3960*x + 4025*x + 2600 = 0 for x.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - o - 2*o = 21*s - 9*s + 18, 2*s - 139*o - 568 = -0*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -4b94?\nAnswer: -4b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g + 12. Let a be k(-5). Suppose 0 = -4*r - 1 - 3. Does r = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*h - 50 = -2*h, 4*h - 14 = -2*g. Let k(a) = -3*a**2 - 125*a + 53. Let b be k(-41). What is the highest common divisor of g and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 35282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13525082*b**2 - 44491036*b.\nAnswer: -27050164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 4.6. Let p = 49 - 52. What is the closest to -0.2 in 5, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5 and 95\/1316.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 514 = -502 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141210759 or -141210760?\nAnswer: -141210760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213.9394 - -0.0606. Let y = u - 211. Put y, 3\/2, -5, -2 in ascending order.\nAnswer: -5, -2, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 8*n = 46. Solve 0 = -2*z + n*d, -2*z - 13*d + 15 = -12*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7686574 and 25.7.\nAnswer: 7686599.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*k + 13 - 3 = 0, 15 = 2*g - 3*k. Differentiate -41*y**4 + 23*y**4 - 146*y**4 + g - 66 with respect to y.\nAnswer: -656*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 319388400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*g + 12 = 44, -5*u = 2*g + 5. Let i(l) = 2*l + 13. Let j be i(-7). What is the smallest common multiple of j\/(3\/18)*u and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 29 = -5*h, -3*q - 3*h + 22 = -5 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 5011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.3, 4, 1\/60, 7, 26.7?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - a - 30 = 31, h - 4*a + 8 = 0. Let u be (-4)\/h + (-20)\/42. Does u = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184559443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let d be (0 - -2)\/2 + f. Let o(b) = 2529*b + 15190. Let k be o(-6). Solve d*w - 3*j - 8 = 2*j, 0 = -4*w + j + k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 828*t**2 + 96320*t.\nAnswer: t*(t - 688)*(t - 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**2. Let u(c) = 32*c**2 - 3*c - 3. Let r(y) = -33*y**2 + 2*y + 2. Let x(g) = 3*r(g) + 2*u(g). Give x(z(w)).\nAnswer: -1715*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 - 2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*o**4 - 25*o**2 + 1607*o.\nAnswer: -108*o**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, q: 2}. Give prob of picking 3 w.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 313323 (base 6) to base 12\nAnswer: 12843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 796 divide 20782604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:40 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0671 and 172146.7132831.\nAnswer: 172146.6461831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1670 + -1671.08. Which is the nearest to 2\/7? (a) h (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**27\/m**(-2\/5) assuming m is positive.\nAnswer: m**(137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose -29 = -5*d - l. Let -3*w**2 + 7*w**d + 7*w**4 + 18*w**3 - 29*w**4 + w**2 + w**5 - 2*w = 0. Calculate w.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 154 + -3c178?\nAnswer: -3c024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from tootttottoooottt?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -1, 2 in descending order.\nAnswer: 2, -1, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7350 - -18919. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -41.6. Let y = -0.5 + 4.5. Let r = y - x. Which is the smallest value? (a) -1\/12 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13450650 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: Suppose 59*a + 96*a + 2513 - 8289 = 3*a. Suppose -5*k + 15 = 0, 2*k - 1036 = -6*m + m. Calculate the remainder when m is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25805825212*s - 89*s**2 - 25805825212*s.\nAnswer: -89*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**3 + o**2 + 7*o + 2. Let q(a) = 9*a**3 + a**2 + 6*a + 2. Give -4*m(d) + 5*q(d).\nAnswer: 5*d**3 + d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(90)\/sqrt(2)*2)\/(sqrt(45)\/(sqrt(5)*-1)).\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(28\/(1288\/414))\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(260) - sqrt(260)*1)*-4)\/(sqrt(20)*3))\/((sqrt(196)*-4 - sqrt(196)) + (sqrt(72)\/sqrt(2) - sqrt(36) - sqrt(36))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 8, 86*m = -6*y + 793 - 875 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5903, 28416, 50929, 73442, 95955?\n\"Answer: 22513*j - 16610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -105*i**2 + 28*i - 28. Let p(t) = -19*t**2 + 5*t - 5. Let x(l) = 28*p(l) - 5*q(l). Let k(c) = -13*c**2. Determine k(x(n)).\nAnswer: -637*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 3673*k**4 - 3 - 3473*k**4 + 2 in the form f*k**2 + d + q*k**4 + r*k + z*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3) + 8 + -3. Let a(n) = n + 2. What are the prime factors of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3)*(-265*y + 519*y - 261*y) + (-3 + 1 + 1)*(9*y - 5*y + 2*y) to the form a*y + l and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c = -12*c + 89595. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**(-1\/19))**49 assuming t is positive.\nAnswer: t**(-147\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {g: 5, q: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 1 - 1)*(2 + 0 - 3)*(6*c + 5*c**2 - 6*c).\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -5 (c) 0.07 (d) -3\/7 (e) 600 (f) 4 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + 7*w**5\/60 + 5*w**3\/3 - 3*w**2. What is the tens digit of h(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 5 - 5 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + -9 + 22\/11. Let v = l - -10. Suppose 23 = v*t - 133. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965631 is divided by 5903?\nAnswer: 5835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.85 + 40.15. Let p = v - 40.8. Let a = 6 - 8. What is the smallest value in p, -6, a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = r - 926 - 472, -6*r + 5*v + 8463 = 0. What is the remainder when r is divided by 339?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*i = 85, -200*g = -199*g + 4*i. Is g bigger than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b - 2*b. Suppose v = 4*q - 915, 10 = -b*v + 2*v. Suppose -3*k + q + 99 = n, -k + n = -103. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 5)*(-k + 0*k + 5*k)*(-324 - 3*k + k + 308) in the form o + n*k**2 + z*k and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = 3*z, -2*x - 4*z = -20. What is the second derivative of -72*g + 70*g - 6 - g**3 + 0*g**3 - 52*g**x wrt g?\nAnswer: -6*g - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1987)\/(-3) - -2*2\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Let a(y) = -2*y + 10. Let x be a(7). Is 464\/k - x\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 86, -50, 3, -4 in increasing order.\nAnswer: -52, -50, -4, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5337 or 293562\/55?\nAnswer: 5337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2*p + 36, 8 - 3 = 5*p. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6) + -2 + (-19)\/(-3). Let g be (2\/a)\/(9\/(-81)). Let h(u) = u**2 + 2*u + 4. Give h(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x. Let a(o) = -o**2 + o - 9. Let d(l) = -l. Suppose -2*p - 4*m + 14 = -3*p, 12 = 4*m. Let t(j) = p*d(j) - a(j). Calculate t(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/(((i*i**0)\/i)\/i*i)))\/i**2)\/(((i*(i**(3\/10)\/i)\/i)\/i*i)\/((i\/(i\/(i\/(i*i**(-1\/15))*i)*i*i))\/i)))**(-4\/5) assuming i is positive.\nAnswer: i**(134\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**3 - 2*d**2 - 3*d - 2. Let a be y(3). Suppose -12*b = -2*b - a. What is the remainder when 31 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2218, 32\/5, -1\/11, -4, 0.4, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*x + 9, -6*f = -3*f - 3*x + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 0*s**2 - 2*s**2 - 9*s**2. Let f(h) = 149*h**2 + 5. Let m(k) = -119*k**2 - 4. Let d(g) = -4*f(g) - 5*m(g). Calculate t(d(u)).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o + 8 = 0. Let w(l) = -3 - 8*l - 2 + 7799*l**2 - 7798*l**2. Determine w(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 23497573937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 134d + -55?\nAnswer: 12f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -241 (b) -10178 (c) 2\/15 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 5, 82, -5, 3, 1.\nAnswer: -5, -4, 1, 3, 5, 18, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*f**2 + 143*f**2 + 177*f**2.\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 26*g**2 + 42*g - 105. Determine t(28).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12243\/7)\/(0 - 3\/16*-1)?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 8*s**2 - 2*s + 10. Suppose -29*y = -16*y + 91. Determine h(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-6)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -211709, -211708, -211705, -211700, -211693?\n\"Answer: d**2 - 2*d - 211708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*-74 + (-224)\/96?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 6*f - 5*f - 5*l, 4*f - 534 = -l. Suppose 274 = q - 2*x, q - 158 = -4*x + f. Let b be ((-14)\/(-8) - 2) + q\/(-32). Is -9 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Find the first derivative of -2*x**4 + 3*x**u - 3*x**2 + 0 - 2 wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 - -82. Let u(f) = f + 9. Let v be u(g). Solve -3*o - 5*j = -2*o - 20, v*o - 4*j - 8 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12425, 40249, 86623, 151547, 235021, 337045, 457619?\n\"Answer: 9275*y**2 - y + 3151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20127 divided by 6225.\nAnswer: -6709\/2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggi when four letters picked without replacement from {l: 2, g: 8, i: 2, u: 2}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.13 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33320*i**2 + 44646 with respect to i.\nAnswer: -66640*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) - (2*sqrt(76) + sqrt(76))*-4))\/(-5*sqrt(8)\/sqrt(2)*5).\nAnswer: 39*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3. Let a be f(0). Let d(v) = -2*v**2 - 6*v + 1. Let y be d(-3). Let p be (-5 - (-6)\/y)*2. Solve 10 = -p*u - a*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 44*a + 174. Let y be 77\/(-8) - 69\/184 - -6. Give n(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403 and 2201?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12585?\nAnswer: 3, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 168867?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - u + 23, f + 19*u = 16*u + 5. Solve 0 = 4*t - 2*t - 5*a + f, -8 = -4*t - 2*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 1, g: 3, l: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -605077*m**2 - 351890?\nAnswer: -1210154*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 40. Calculate the remainder when (3\/(-2))\/(r\/(-616)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 142786?\nAnswer: 142786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - s + 13606 = -3*p, 0 = -4*p + s + 6794. Does 85 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-30)*(-15)\/(-10). Which is greater: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - -0.03. Put 0.03, j, 2 in descending order.\nAnswer: 2, j, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -13124523?\nAnswer: -13124532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319.00000534 + 319. What is g rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543 = -258*x + 377*x - 221*x + 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408237773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 6*h + 8. Calculate b(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/27*9\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180677.\nAnswer: 7, 53, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 14.5. Let k = 2.5 + y. Which is the second biggest value? (a) -0.5 (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1687.124 tonnes?\nAnswer: 1687124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - v = -21, m - 6*m = -v + 25. Let x(z) be the third derivative of 5*z**4\/24 - z**3 - 12*z**2. Let a(d) = -d + 1. Determine m*a(k) - x(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 0.12 (b) 2\/29 (c) -2\/5 (d) 0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -147 - -81. Let f be (j\/(-12) + -6)*0. Solve -15 = -l - 5*o, f*l + 5*o - 5 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135.6844 millennia to decades.\nAnswer: 13568.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -277?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 12 = h. Solve -2*x - 3*x + 19 = k, -k + h = 2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3427655 is divided by 15302.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34680.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/5 - 1129*y\/5 - 8968\/5 = 0?\nAnswer: -1121, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3 - 1. Let p(n) = -3*n + 0*n**2 + 0*n + 2*n**2 + 0*n + 2 + 7*n**3. Let r be p(l). What is the highest common factor of r and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667 and 1849533?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*q = -265*q + 2*k + 8, 4*q + q - 3*k - 242 = 0 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11866828.2027413 - -11866827. Let z = -0.0972662 + p. Let n = z - -1.3. Round n to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - o. Let q = 207 + -208. Calculate d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 5. Let h be s(-5). Let z(j) = -2*j + 2. Let b be z(h). Does 12 divide 4\/(-4) + (b - -21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10949 - 240951\/22. What is the common denominator of r and -67\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1115 = 5*k, -k + 2*v + 384 - 161 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2 + 10. Let x = a + 15. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1064839706.\nAnswer: 1064839711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + m**2 - m. Let j be x(1). Let k be j - (-9)\/(6\/2). Let w = -326 - -325.7. Which is the closest to k? (a) -0.1 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215263197*l*q**2 - 93029611*q**2 wrt l.\nAnswer: 215263197*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*i**5*l**2 + 5*i**5*l - 139*i*l + 2*l**2 wrt i.\nAnswer: 340*i**3*l**2 + 100*i**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 59 = -55. Solve -4*h - 3*c - 11 = 0, 4*h - d*c + 1 + 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n - 4. Let h = 3 + n. Let w = 5 - h. Solve w*t = 0, 0*t = 2*o - t - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1022*v**2. Let d(w) = -511*w**2. Give 5*d(k) + 3*r(k).\nAnswer: 511*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3724*s**2 + 1235*s**2 + 1241*s**2 + 1242*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-1470)*7*4)\/(3\/10).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 3*t)*(1 + 3*t + 2*t + 0*t).\nAnswer: 20*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 25*r**2 + r. List the prime factors of u(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/10)\/((-642)\/(-49755)). Solve -2*n = -5*f - 1, 0 = p*f - 34*f + n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvggtcffcvkttkgf. What is prob of sequence ftgv?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-16)*2)\/(36\/80*16775\/(-21960))?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 + 119*q - 21. What is the smallest common multiple of a(-24) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77865 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 6:43 AM?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 2223108581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbhvbnmjmhb. What is prob of sequence hvh?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -17 - 3. Let l = -53 - -57. Suppose -h = -l*y - 5, -4*h + 6*y + 8 = 2*y. Solve 3*c - 5*c = 2, -j*c - h = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1248 and -8119.\nAnswer: -10132512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:45 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:26 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1838 or 1839?\nAnswer: 1838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -339 (b) -0.52 (c) -1\/6 (d) -9\/11 (e) -1\/3 (f) 0 (g) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/14*(-12)\/18.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224.3 - -215. Let j = k - -9. Put -4, j, 0 in decreasing order.\nAnswer: 0, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/(-135) - (-32)\/(-144).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-3)\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x + 2*x**2)*(-2 + 17122*x + 0 - 76594*x - 81955*x - 42049*x) to the form l*x**3 + f + d*x**2 + c*x and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-392*p + 383*p + 5 + 1)*(57 - 57 - 13*p**3) in the form s*p**2 + b*p**4 + q*p**3 + g*p + k and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8266275*c**5 - c + 255860 wrt c?\nAnswer: 165325500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 9, h: 4}. Give prob of picking 1 z and 2 g.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15753 (b) 0.4 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/((sqrt(12) - sqrt(300))\/sqrt(3)))\/(sqrt(3) + sqrt(108)*-2 + sqrt(3) + sqrt(12)\/(1*sqrt(4))))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - l, -5*n = -12*l + 8*l. Let t be (-6)\/(-27) - (n + 48\/(-27)). Solve 20 = -t*f - 4*g, 5*f + 3*g + 26 = -g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/76*4\/(-134). Which is the third smallest value? (a) -2\/3 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 586*w - 585*w + 2*m, 3*w + 4*m - 578 = 0. Which is smaller: 200 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-20)*(16 + -11)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651692300 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-105))\/((-152)\/(-1140)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 34. Let f(i) = -i - 1. Let o be (-4 - -2) + 2 - -2. Let c(x) = x**o - 1 + 15*x - 12*x + 4. What is m*c(p) - 6*f(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 times -0.4\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-282)\/(-188))\/((-45)\/(-156))*1\/((-6)\/15)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81323596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55912*d**3*v*z**2 - 3*d**3*z**2 - 45*d**3*z + 542*d**2*v + d**2*z wrt z?\nAnswer: 111824*d**3*v - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.83 in -3, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:15 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 10:34 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -20474 greater than -143324\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -22132201213?\nAnswer: 22132201130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 62*u**2 - 367*u + 162. Give y(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -14. What is the smallest common multiple of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-63) + (-11)\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -18889701.\nAnswer: -2\/18889701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*x + 12 = -4*a, 3*x = 4*a + 7. Let r = 10 + a. Solve 4 = -l - o + 6, -2*o - r = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155157851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 54. Let a be ((-7)\/((6\/n)\/(-3)))\/1. Let j = a + 153. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqnnqqn. What is prob of picking 2 n and 2 q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4359581 to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 - -243. Let i(f) = f**3 - 32*f**2 + 5*f + 123. What is the units digit of i(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33120 - 9720. Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/120 - b**5\/20 + b**4\/24 + b**3\/3 - 17*b**2. Give z(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2048)\/3072)\/((-40)\/18) + (-12642)\/140?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 28 - 29)*(0 + 4 - 2)*(0*r + 0*r + 2*r**2).\nAnswer: -148*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003025 to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4855804458 to the power of 1\/3, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5808 (base 14) in base 13?\nAnswer: -6c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*1)*-3)\/(sqrt(40)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -1\/28, 0.5, 2\/5, -4 in descending order.\nAnswer: 0.5, 2\/5, -1\/28, -0.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**5\/10 - h**4\/4 - 5*h**3\/6 - 3*h**2 - 19*h. Let a be t(-2). Solve 4*o + 8 = -a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154116882 divided by -69\nAnswer: 2233578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-294)\/9)\/(6\/108). Find the common denominator of (-1 - 1) + (-1694)\/c and ((-10)\/(-45))\/(((-1)\/9)\/((-285)\/(-36))).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48ab (base 13) to base 9.\nAnswer: -15083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4076683770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 22*t + 17*t = 0, -4*t - 21 = -f. Which is the nearest to -1\/5? (a) 0.04 (b) 11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(39\/(-6) - -8) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24695812 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 2 s when four letters picked without replacement from {x: 1, s: 2, i: 1, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let j = -3903 - -3903.5. What is the closest to p in -0.3, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 11)*(4*k + k - 2*k)*(-41 + 17 - 191) to g*k + n and give g.\nAnswer: 7095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -255 divided by -51\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.9. Suppose 0*f = 3*f - 15. What is the closest to 5\/3 in a, -1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) - (sqrt(98) + 1)) - sqrt(98)) + sqrt(98))*-3 + -3)*1*4 + -5.\nAnswer: -84*sqrt(2) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, 9505 in increasing order.\nAnswer: -11, 2, 9505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/6)\/(1\/(-2)). Suppose 2*m - h = m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/238 and -17\/1012?\nAnswer: 120428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, e: 7}. What is prob of sequence bb?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -57.900296703.\nAnswer: -55.900296703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 = 2*v, 9 = 6*m - 9*m. Suppose -444 = -8*k + v*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 - 8*c + 8. Suppose f = -2*l - 14, 4*l + 4*f - 6*f + 28 = 0. Let d be v(l). Suppose d = -0*b + b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/80 + c**4\/24 - 21*c. Factor q(z).\nAnswer: z**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 12*h**2 - 3*h**2 - h**3 + 27*h**2 + 18 + 6*h. Let x be d(13). Let c(y) = 0 + 1 + 3*y + y. Give c(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719)*-1 + sqrt(4719))\/(-1*sqrt(3)*3 - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*m**6 + 2*m**5*u**3 - 2*m**2 + 17*u**3 wrt m.\nAnswer: -2160*m**3 + 120*m**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2 - 63 + 0*t - 61\/4*t**4 - 7\/3*t**3. Find the third derivative of g(n) wrt n.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = 14*i - 17*i + 119, -4*i + 32 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4\/(36\/(-39))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/25, -2\/5, 2, -1\/2, 4\/9, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.196 in -1\/6, -26, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69777008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1191*r - 2396*r + 1200*r. Let u(g) = -73*g**2. Determine u(p(f)).\nAnswer: -1825*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t**(-23\/2)\/t))*t\/(t**(-9\/2)*t) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 53. Let d = -45 - k. Which is the closest to 2? (a) 0.2 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4\/9 (c) -0.044 (d) -3 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**2\/2 - o + 96. Let c(b) = -4*b + 1. Let m(u) = -c(u) - i(u). Let t(l) = 13*l - 2. Determine m(t(h)).\nAnswer: 39*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = l - 11, l = h + 4*l - 11. What is the lowest common multiple of h and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122606 or -122608?\nAnswer: -122606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11064622.\nAnswer: 2, 5532311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 27*z + 150*z + 1 - 26*z - 37*z to y*z + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102111 is divided by 6828?\nAnswer: 6519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(65 - 77)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, c: 4, r: 6}. What is prob of picking 4 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/12 (c) 31 (d) -41 (e) 1\/2 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**6\/960 - i**5\/160 + i**3\/12 - 16*i**2. Determine h, given that u(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 10. Suppose -4*t = -0*t + 40. Let b = p + t. Calculate the lowest common multiple of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjchjyhjw. Give prob of picking 1 y and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 1, l: 1, a: 1, e: 1, v: 2}. What is prob of sequence vl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -37572408.461 take away -2?\nAnswer: -37572406.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = -q, -2*v + 2 + 6 = -2*q. Let d be -3 + 1*(-21)\/(-9). Is d equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -33 + 17. Suppose -g - y = x*y + 11, -3*g - 3*y = -15. Suppose -g*p = -11*p + 140. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*q - 1199*q + 41496 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + (-4)\/2. Let q = -1 + k. Let n(j) be the first derivative of 3*j**2 + 3*j + 1. Give n(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/2 of a century?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160276367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:29 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 12*i - 11)*(-i + 2 - 4*i + 3*i)*(315 - 122 + 85) in the form f*i**2 + h + b*i and give f.\nAnswer: 6672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1*7*(-20 + 38)\/(-18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-21 - -22 - -10)) + -3 + 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-176)\/14*(-1)\/(-2). Let l = y + 46\/7. What is the closest to 1 in 1\/3, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - d)*(-2 - 1 - 1) + 5*d - 4*d - 5*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*g - 183 = -2*d, -4*d - g + 359 = 0. Calculate the greatest common factor of d and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9168 by -2327.\nAnswer: -9168\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73, -1311, -3509, -6667, -10785?\n\"Answer: -480*y**2 + 202*y + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6. Let n(d) = -d - 12. Let b(a) = 7*h(a) - 3*n(a). Suppose 5*l = -153 + 123. Let r = 11 + l. What is b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(209)\/(sqrt(33)\/sqrt(3)))**2 + -5 + sqrt(19) + sqrt(171))*-5.\nAnswer: -355 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31552 and 157216?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 251219, 251278, 251331, 251378?\n\"Answer: -3*o**2 + 68*o + 251154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (231*q**3 + 326*q**3 - 1057*q**3)*(4 + 6 - 1)*(0*q + q - 4*q)*(5*q + 0*q - 4*q).\nAnswer: 13500*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 595998 and 130.\nAnswer: 2979990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/14 and -109\/181460.\nAnswer: 1270220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 l, and 1 a when three letters picked without replacement from llzlavhlluuu.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v + 12. Let o(k) = -4*k + 5. Let h(g) = 12*o(g) - 5*t(g). Let l(q) = 3*q**2. Calculate l(h(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*r = -123 + 119, 4*y - 2*r = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 78605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:02 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607 by 5.\nAnswer: -607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.351172 rounded to 3 dps?\nAnswer: -31.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 3*q**7\/70 - q**6\/120 + 39*q**4\/8 - 58*q**2. What is the second derivative of z(g) wrt g?\nAnswer: 108*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f + 0*i + 3*i - 2104 = 262*f, 5*i + 91 = -3*f + 27 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110*l**2 + 108*l**2 - 69*l**3 - 2 + l + 20*l**3 + (-3 - 1 + 5)*(2*l**2 - l**3 - 2*l**2).\nAnswer: -50*l**3 - 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-425)\/(-20))\/(20\/16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 32*z.\nAnswer: 4*z*(z - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 97*l**2 - 420*l - 218. Determine o(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -15\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/5 and -62 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2056123 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*c + 13812 - 7612 = 33*c + 37*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000100000010 + 100001110?\nAnswer: -11111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**2\/i)\/i*i))**(6\/31))**(-11\/6) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 59 in 29, -3, -12?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-280)\/(-60)*(-4)\/(-42)*9. Suppose 5*h - 5*y = 0, 2*h - 4 = 4*h - k*y. Sort -3, -1, h, -2 in descending order.\nAnswer: h, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**3 + 3*q - 3. Let o be 5\/(15\/6) + 1. Calculate the remainder when z(o) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -20)\/(30\/(-36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/38856 and -107\/38856.\nAnswer: 38856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 7*j**2 - j - 7*j**2 - 66900589.\nAnswer: j**3 - j - 66900589","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -5*m**8\/336 + m**7\/21 + m**6\/8 - 2*m**5\/3 + 5*m**4\/6 + 68*m**2. Determine z, given that k(z) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 5 - 21 = 0. Put -3, o, 1, -6 in decreasing order.\nAnswer: 1, o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -19. Suppose 0 = 3*u + 3*d + 2*d - t, d - 18 = -4*u. Let l(n) = 2*n**3 + n**2 - 2*n + 1. Let k be l(1). Solve -5*x = -u*x - k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/10 and 59\/1526916.\nAnswer: 7634580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 46 in descending order.\nAnswer: 46, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) - (5 + -1 + sqrt(2299) + sqrt(2299)).\nAnswer: -11*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000879636748 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a*y**4 - 988*a*y**3 - a*y - 144*a + 15*y**2 - 2*y - 3 wrt y.\nAnswer: -96*a*y**2 - 5928*a*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, -1, 29865591?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -254311, -252391, -250471, -248551, -246631?\n\"Answer: 1920*r - 256231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 - 124. Solve -19 = -2*k - 3*v, -2*k = -u*k - 3*v + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 69. Suppose -49 = -u*g + 15. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 32. Let m(v) = v**2 - 7*v. Let x be m(3). Let p be (-1)\/(2\/(-12) - 8\/x). Which is the nearest to p? (a) 2\/7 (b) 6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**35)**(-4\/5)*(((m\/(m**(-2\/7)*m))\/m*m)\/m**(1\/4))**(8\/11) assuming m is positive.\nAnswer: m**(-2154\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/312216 and -65\/48?\nAnswer: 624432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*s + 2, p + 16*s + 3 = 13*s. Let f = -0.5 - -1. What is the closest to p in 3\/2, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3997\/77076 or 0?\nAnswer: -3997\/77076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00357303507 to five decimal places.\nAnswer: 0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*a - 4, h - 4*a = -3*a. Is 17 a factor of -102*h*(-4)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5218 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56431 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**8\/168 + 199*j**5\/20 - 655*j**4\/24 + 575*j**2. Find the second derivative of m(v) wrt v.\nAnswer: -40*v**3 + 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*k + 21, 5*p + 3*k + 3 = -2. Suppose -2*x + p = 0, 2*x + 174 = -4*i + 6*i. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*b + 37 - 41 + 62*b)*(19 + 6 + 0) as j + l*b and give l.\nAnswer: 3525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 3*t**2 + 2*t + 1. Let j be -1 - ((0 - 2 - -1) + 3). What is q(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1095549, -1095571, -1095593, -1095615, -1095637?\nAnswer: -1095659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from kjhkkjjhjkhkkkjkkhj?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlllinwlii. What is prob of picking 1 l and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*d + 4 = 0, -216*d + 215*d + 5 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 3. Let p(v) = 2*v + 3. Let w(a) = -a**3 - 5*a**2 + a + 2. Let o be w(-5). Let h be p(o). Let k(q) = -2*q + 4. Determine h*u(f) + 2*k(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + 1712\/(-40). Let r = 45 + v. What is h in 2*h**5 + 8*h + h**2 + 4*h**4 - 9*h**2 - 6*h**3 + 0*h**r = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (67\/670)\/((-93)\/55 + 1). Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i**2 + 2*i + 39. Let l be v(6). Let m = l - 551. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1161612 and 1936020?\nAnswer: 5808060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(((-96)\/(-80))\/(3\/5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*a - 16784 = -17094. Solve -7*y = 4*p - 6*y - 11, a*y - 7 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19194 is divided by 4791.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1231?\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 6387344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j + 258. Let u be t(41). Solve 2*a + u = 4*z, -1 = -4*a + z + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*i + 28 = -7, -5*t = 4*i + 137. Let x be 7\/(2*(-2)\/(-12)). Is t\/(x\/(-5) + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/(-2)*(-9)\/90 and ((-12)\/(-50))\/(20*8\/1520).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 15. Let z = 11 + g. Let i(h) = h**2 - 125*h + 1556. What is the least common multiple of z and i(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 5*a + 6. Let w be m(-3). Suppose -7*t + 3*t + 432 = 0. Calculate the greatest common factor of t and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -83*k**3\/3 - 2. Let s(y) be the second derivative of -y**3\/3 + 803*y - 4. Give n(s(d)).\nAnswer: -332*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/((-72)\/(-6))*1*2*(-4)\/12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 23 = 2*b - 0*o, -3*b = 2*o - 27. Let v(g) = g**3 - 9*g**2 + 9*g + 10. Let y be v(b). Let z be (-2 - -1)*(y - 0). Solve z = -s - 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 - 315. Does 7 divide y\/(-4)*(-14)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 = -4*y, m - 5*y + 9 = -0. Let w(d) = -d - 6. What is the remainder when 9 is divided by w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -39. Calculate the least common multiple of v and 5\/20 + 79\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25743 + -25743.2. Which is the closest to s? (a) -8 (b) -3 (c) -0.091\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69\/49, -0.3, -2\/9, 5, 1 in increasing order.\nAnswer: -0.3, -2\/9, 1, 69\/49, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/94 - 167\/658. Suppose -13 = -5*l + 2. Let f = -5.05664 + 0.05664. Which is the nearest to -2? (a) f (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6950, 7001, 7052, 7103, 7154, 7205?\nAnswer: 7256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -97\/4 less than or equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31777602 and 7482?\nAnswer: 921550458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13731 + -151144\/11. Which is bigger: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(2\/19)*(p\/(p*p*(p*p\/((p\/p**(14\/9)*p*p)\/p))\/p))\/p assuming p is positive.\nAnswer: p**(-248\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 + 180. Put m, 8, 5 in decreasing order.\nAnswer: 8, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/120 - l**3\/3 + 3*l. Let m(q) be the second derivative of i(q). Let f(c) = -c**2 + 2*c**2 + 4*c**2. Give m(f(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb + 31a2a?\nAnswer: 3182b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -174*z - 5. List the prime factors of q(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -74. Suppose 7*c - 43 + s = 0. Let l = -17 - -22. What is the greatest common factor of c and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460292.8 millennia to years.\nAnswer: 460292800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -4*t + u, -4*u + 5*u = 3*t - 356. What is the remainder when t is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-3.7344\nAnswer: -3.8344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8)**24\/(v\/((v\/v**(-8)*v*v)\/v))**(33\/4) assuming v is positive.\nAnswer: v**(1065\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -341489, -341490, -341491?\n\"Answer: -r - 341488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j + 240. Calculate the remainder when j is divided by (-37)\/(-3) - (-8)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 4*v**4 - 3*v - 4*v**3 - v**4 + 2*v**4 - 2*v**4 + (0 - 2*v**3 + 0)*(v + 5*v - 4*v).\nAnswer: -v**4 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -32*y + 3. Let g(k) = 2400*k - 224. Suppose 475*f - 19 = 490*f + 26. Determine f*g(o) - 224*z(o).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887368383?\nAnswer: 3631, 519793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9193 - -10522. Calculate the remainder when w is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16511 - -36954. What are the prime factors of t?\nAnswer: 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -183374?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2043152727 - 0.3\nAnswer: 2043152726.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 30 - 43. Suppose -70 = 19*d + 6. Is 11 a factor of w - d*((-10)\/(-4) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -523*b - 116*b + 95*b + 39023 - 9103 for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13920 = 510*r + 1150*r + 4340 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c + 46. Let m(p) = 2*p + 2. Let i(s) = f(s) - 8*m(s). What is i(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + w**2 + (2*w + 2 - 2)*(-4 - 2*w + 4) + 0*w**2 - w**2 - w**2 + (14*w + 4*w - 5*w)*(-5 + 5 + 3*w))*(-2*w + 3 - 3).\nAnswer: -68*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 81, 111, 177, 291, 465, 711, 1041, 1467?\n\"Answer: 2*f**3 + 6*f**2 - 2*f + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8 - 0.2. Let y = -3747.2 - -3747. Which is the fourth smallest value? (a) 2\/15 (b) 0.5 (c) z (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 + -139.00114. Round j to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -188480 (b) -4 (c) -2 (d) -0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 3 + 3 + 2098*a**3 + 489*a**3 + 1022*a**3 + (-4*a - a**2 + 4*a)*(0 - a + 0).\nAnswer: 3609*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -227, -454, -815, -1352, -2107, -3122, -4439?\nAnswer: -6100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8771522 divided by 4385761\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510145 (base 6) to base 8.\nAnswer: 116461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120*y - 6 - 6 + 9)*(y - 6*y + 3*y).\nAnswer: 240*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.67 + 0.22. Let t = -0.473 - p. Round t to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j**2 + 142*j - 913. Let l(m) = 34*m**2 - 236*m + 1524. Let x(v) = -7*l(v) - 12*o(v). Factor x(r).\nAnswer: 2*(r - 18)*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -21*k**5\/4 - 156*k**4 - 249*k**3 + 84*k**2 = 0.\nAnswer: -28, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8882243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 591 - 353. Solve 6 = -f*y + 237*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6684 and -1.\nAnswer: -0.6684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -811.81 and 532174.3644.\nAnswer: 531362.5544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c - 40. What is z(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 27*t = 29*t - 24, -2*t - 8 = -3*q. What is the smallest common multiple of q and 34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -15. Let t(x) = 0*x**2 + 0*x**c + 5 - x**2 - 7. Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13730 - 3?\nAnswer: 13726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48743352 and 3808.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-99))\/(4\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 1810, 2711, 3612, 4513, 5414?\nAnswer: 6315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 149*n**3 + 2*n**2 - 168. Let x(m) = -296*m**3 - 3*m**2 + 337. Let a(t) = -7*p(t) - 4*x(t). Differentiate a(w) wrt w.\nAnswer: 423*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-56))\/((-21)\/(-98))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/35*-8 + 2\/(-5) and 16\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86081 and 36698.\nAnswer: 53542382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = o - 4, -n - o + 5*o + 18 = 0. Let r(x) = 0*x**3 + x**3 - n*x - 11*x - 3*x**2 + 3. Does 11 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + 2 + (66 - 60) + 1 + 13.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 + (-6)\/10. Let q = -3377 + 3372. Put s, -0.24, q in decreasing order.\nAnswer: s, -0.24, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 - 5*a - 2. Let z(y) be the third derivative of y**6\/120 + y**5\/20 - y**4\/8 - y**3\/6 + 6*y**2. Give 3*p(s) - 5*z(s).\nAnswer: -2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 2, g: 4}. Give prob of picking 1 v and 1 g.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 49*c**2 - 8)*(-3 + 3 + c)*(c + 0*c - 2*c) in the form n*c**3 + j*c**4 + s + b*c**2 + m*c and give j.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i - 2. Let a(l) = l**2 + 7*l + 8. Let w be a(-6). Let z be k(w). What is the third derivative of -24*g - g**5 + 24*g - 4*g**z wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Let a(r) = r**2 + 14*r + 27. Let j = 4 + -16. Let t be a(j). Is t < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 1\/4 (d) -13\/22 (e) 2\/19 (f) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11662977*o + 24148626 wrt o.\nAnswer: -11662977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -4, 39, 3686, 12.\nAnswer: -4, -1, 5, 12, 39, 3686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - (1 + 3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 3*k**2 + 4*k**2)*(1 + 27*k**2 + 48*k**2 - 34*k**2).\nAnswer: -82*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 64.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**(-6\/7) assuming t is positive.\nAnswer: t**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**4 - 57 - 14*n**3 + 20*n**3 + 24 wrt n?\nAnswer: -4*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*j + 118954 - 123610. Solve -2*i = -208 + j for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66328 divided by 8291\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 7\/11693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, 0.3, -1\/17, 13?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 0.5, 1.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 14*h - 1\/10*h**6 - 7\/10*h**5 + 2 + 0*h**3 + 1\/6*h**4 + 0*h**2. Find the third derivative of q(t) wrt t.\nAnswer: -72*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 32. Suppose o = -4*v + y + 23, -5*v - 4*y + 10 = y. Calculate the smallest common multiple of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13136?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*1 - 6. Let c be (2 - 1)\/(u - -6). Let d be c\/(3\/3) + 53. What is the highest common divisor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 6:15 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -2*w. Let i be (16\/20 - w)\/1. Is i smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y**3 + 1636*y**2 - 7886*y + 1410. Calculate r(-141).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1585*f**6 + 840*f**2?\nAnswer: -190200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5494 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3901 and 44227.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -43*j - 9 - 13*j**2 - 16 + 37*j - j**3. Is s(-13) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*n + 1100, 4*n - 201 = 2*r - 1277. Let y be r\/208 + 6\/16. Solve -2\/15*g**5 - 8\/15*g**2 + 0 - 4\/5*g**y - 2\/15*g - 8\/15*g**4 = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/4*(-357)\/(-6). Suppose -1740 = -g*t + 116*t. What are the prime factors of t?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*b - 59*b + 8 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/((-84)\/112). Solve 10 - 16 = d*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9404*f**3 - 10*f**2 - f - 1676984 wrt f.\nAnswer: -28212*f**2 - 20*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 22 + 54*l - 10*l - 24.\nAnswer: 58*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2115 + 2115 + 117130*t**3.\nAnswer: 117130*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -450595608*f**2 - 187*f - 163943 wrt f.\nAnswer: -901191216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15332097 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 3107*i + 113148.\nAnswer: -(i - 3143)*(i + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1143 and 391266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z + 1. Let r(w) = 2*w. Let s(d) = d. Let y(n) = 4*r(n) - 7*s(n). Determine 2*x(t) - 6*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 1a?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -159*b + 4111. Determine t(26).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 166 and 10.361?\nAnswer: 1719.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*d**3 + 6*d**2 + 11*d - 10048 wrt d.\nAnswer: 93*d**2 + 12*d + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let d(k) = 15*k**2. Let y(i) = -195 + 216 + 7*i**2 - 21. Calculate q*d(a) - 5*y(a).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -3386?\nAnswer: 338a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 1456 - 4 = 84*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 793 = -293. Let y = x + -86. Suppose -k - 2*k = -y. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7726*i + 3874*i + 3852*i + 46 + i**2.\nAnswer: i**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 349.29 and -2.9.\nAnswer: 346.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05604 and -0.1?\nAnswer: 0.005604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.14 - -9.44. What is the nearest to 0.08 in -0.3, -0.4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x + 1. Suppose -4*a + 27 = -17. Calculate the remainder when i(-1) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 138*s**2 + 152*s. Determine h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202002010 (base 3) in base 16?\nAnswer: -392d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -545 - -542.928. Round x to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-2)*g))**(-3\/19)*(g**4)**(10\/3) assuming g is positive.\nAnswer: g**(742\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37620)\/(-780) - (69 - 21)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 391907\/8 - 50385. Let z = 1385 + v. Let y = 9\/2276 + 128531\/15932. Calculate the common denominator of y and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020304 (base 5) in base 14?\nAnswer: bc31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12487 + 2031 = 14*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4 + 592*m**3 - 8681*m**2 + 15002*m = 0.\nAnswer: 0, 2, 13, 577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1. Let f(s) = -2*s - 7. Let r be f(-6). Let u be z(r). Solve u*j = 5*n + 28, 4*n - j + 22 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 12 - (3 + 7 + (-2 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 6 (c) -1022 (d) -9 (e) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s - 4*s + (-5 + 5 - 1)*(s - 6*s + s))*(0*s - s + 3*s + (5*s + s - 4*s)*(1 - 4 + 5))*(-3*s - s - 3*s).\nAnswer: -84*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 3 = -6*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2 + 5*o - 6. Let f be j(4). Let a = f - -246. Let b = a + -55. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-559824)\/4578 - (-1 - (-120)\/21).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 5 (c) -0.8 (d) 0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1. Suppose 0 = -4*u - 4*g - 20, 0 = -34*u + 37*u - g + 19. Let o(b) = b**2 + b - 2. What is u*l(q) + 2*o(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947451?\nAnswer: 13, 19, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 11 - 26. Suppose l*x - 15 = 0, 4*o + 3*x - 59 = 4*x. Solve 3*s + 2*f + o = -0*s, 30 = -5*s - 4*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 4756*q - 23880.\nAnswer: 4*(q - 1194)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 2*b**3 + 17 - 4 - 3*b**2 in the form c + g*b + z*b**3 + s*b**2 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39328 divided by -16?\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - -7 - (-7 + 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1157 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -41\/3 (c) -2 (d) 1\/3 (e) 0 (f) -11 (g) -17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from zqwopqlow?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:55 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -2.1. Let v = 2.88 + -4.87. Let u = -0.01 + v. Sort b, u, 3 in increasing order.\nAnswer: u, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 1 + 11*y**3 + 5*y - 10*y**3 in the form g + x*y + m*y**3 + v*y**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1955*o - 1122. Give s(1).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 2. Let t(w) = -w - 1. Let r(h) = q(h) - 3*t(h). Give r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 divided by 242?\nAnswer: -403\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 8}. What is prob of picking 4 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 5*h**2 - 11*h - 8. Let p be q(-5). Suppose 26*j + 42 = p*j. Solve -2*d - j*t = -0*t + 12, 13 = -3*d + 2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((((sqrt(144) - (sqrt(144) - 2*sqrt(144)*4)) + sqrt(144) - sqrt(144)) + sqrt(144))\/(1*sqrt(12)*3))\/(-4*(sqrt(486)*-2 - sqrt(486))*-3))**2 + -5.\nAnswer: -29159\/5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 68, 117, 186, 275, 384, 513?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 9. Let j = 17 - 16. Let m = c + j. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 24560?\nAnswer: 24551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887 = 8645*a - 8861*a + 21407 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(129\/(-172)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 minutes before 11:00 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 + 2*f + 1. Let k be g(-2). Let s be (-2 + -1)\/(k\/2). Let o(n) = -3*n - 8. Let v be o(s). Solve -2*j + 4*j = v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = a - 33. Suppose 5*l - 2*i - 16 = -i, -a = -4*l + i. Solve 0 = -3*q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 14\/11 (c) -9 (d) 5 (e) 2\/9 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 25 = -5*p, -3*w + 10 = 2*p. Suppose h = 2*h - p. Suppose h*f - 69 = 156. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 2, -8 in increasing order.\nAnswer: -8, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5513*i + 14. Let d(r) = r + 6. What is -2*d(x) + k(x)?\nAnswer: -5515*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 - 11*f**2\/2 - 5*f. Let n be p(0). Let w = n - -11. Solve 0*h = 3*h + 3, 2*o + 4*h = w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 1 + (-6 - (-10 + -5)). Solve 5*s + 4 = q*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(2\/7)))\/(q\/(q*q\/q**5*q)*q)*q**(-1\/3)*q**(-2\/3))**(-43))**(29\/3) assuming q is positive.\nAnswer: q**(13717\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376265 to the nearest one thousand.\nAnswer: -1376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 323061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202469.\nAnswer: 23, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-63)\/(-56)) - (29 + -65).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-170) - (-9)\/5. Solve k*q - 20 = 5*j, 12 = -3*j + 3*q - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4469*s + 20 = -4479*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 9.48, 0.1, 17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70420 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 96 = -5*l. Let h = l + 29. Let j(c) = -10*c + 50. Let a be j(h). Solve -2*f - 2*k = -12, 4*k + 0*k - 16 = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w + 44. Let s be t(6). Let f = s + 16. Suppose -407 = -3*p - 5*o, f*o = -5*p - 4*o + 661. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2361184*q**2. Let x(g) = 4*g**2. Give v(x(m)).\nAnswer: 37778944*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**4\/24 + s**3\/2 + 5*s**2 + 5. Suppose 0 = -5*w + 38 - 13. Determine d(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3495.631 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 + a**2. Let b(t) = t - 2 - 5 + 1 + 5. Let p be b(2). What is the units digit of q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/318409901 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 1251.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and -46.4.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2602923*h**4*k**3 + h**3*k**3 - 2512*h**2*k**3 + 36*h**2 - 4*k**2 wrt h.\nAnswer: 62470152*h*k**3 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 977, 938, 899, 860, 821?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 - 6*k + 31. Let u be w(-9). Suppose -9*o + 495 = -u*o. Suppose m = 10*m - o. Let s(r) = -r**3 + 12*r**2 - 12*r + 6. Give s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(63) - sqrt(7)) + sqrt(7) + sqrt(84)\/(sqrt(192) + sqrt(12)).\nAnswer: 16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 2\/3, 7.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joegoegegsg. Give prob of picking 2 o, 1 e, and 1 g.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/10 + (-8)\/20. Suppose 24 + 39 = n*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34587 - 15297. Suppose 95*t - j = 89*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*o + 3*o - s, -5*s = -2*o + 6. Suppose 0 = -o*q + 5*q + 9. Suppose -17 = -q*i - 5. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8)**(-44)\/(g**(1\/11)*g**8) assuming g is positive.\nAnswer: g**(-3961\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.6 + 51.4. Let a = -110 + g. Let p = a + 43.9916. Round p to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (38 - 39)*10\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 888 - 889. Let v = -10 - -7.1. Do w and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3)*n*n)**(-36)*n\/(n\/(n\/(((n*n**(-6)\/n)\/n)\/n))*n)*n**(-2)*n*n**6\/n**(2\/11)*(n\/(n*n**(-5)))\/n*n**(-2\/7) assuming n is positive.\nAnswer: n**(-8891\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 90355776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21528, 21457, 21400, 21357?\nAnswer: 21328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 3*u + u - 4*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 - 16 = 0. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(220\/(-8)) + 26\/22. Suppose 2*u + 2 = -4*p, -u + 4*u + g = -5*p. Suppose 99 = -2*r + u*r. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**3 - 3*h - 14*h**2 + 1\/70*h**5 + 0 + 1\/280*h**6 - 3\/56*h**4. Let w(a) be the first derivative of o(a). Factor w(y).\nAnswer: 3*y*(y - 1)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93933)\/3564 + 26 - 6\/(-22).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 15054.9 (d) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1228, -1066, -890, -694, -472?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.437\nAnswer: -0.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-369 - 591 + 319)*(0*o**3 + 4 + 3*o**3 - 1) to h*o**2 + p + m*o**3 + b*o and give m.\nAnswer: -1923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 44*k**2 - 24*k + 213. Does 29 divide l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5413702 to the power of 1\/2, to the nearest integer?\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321126008 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -379, -783, -1187?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:04 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -242046 (base 8) in base 2?\nAnswer: -10100010000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 3. Let n be x(-1). Suppose -n*q + 3*g = -51, 0 = -2*g + 7*g - 5. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 4) to base 12\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 + 0*m**3 + 0*m**3)*(2*m + 3 - 3) + (-3*m**2 - m**3 + 3*m**2)*(3*m + 0*m - 2*m) + 0*m**4 + 2*m**4 + 16*m**4.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -459 + -2073.\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20954.\nAnswer: 2, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 2. Let j be d(-2). Suppose 13 = 7*l - 22. Sort j, l, -0.4.\nAnswer: -0.4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2. Let x(f) be the first derivative of f**3 - f**2 - 2*f - 25. Determine -5*g(p) + x(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4*r**(-2\/17) assuming r is positive.\nAnswer: r**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*p**2 - 33 + 33 - 1820*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 4*b + 7. Let h be q(-6). Let z = -3 - h. Solve 4*x = -0*k - 2*k + 20, k - z = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*j + 13666 - 9618 = 0 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/8 + 19317*f**3\/8 - 57915*f**2\/4 + 57903*f\/2 - 19299.\nAnswer: -3*(f - 6433)*(f - 2)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17450391238 and 3171.\nAnswer: 17450394409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 80 + 8. What is the remainder when w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 57\/2 of a day?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99421826 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.26 + -0.06. Let d = -0.01 + 2.01. Let w = -32.6 - -33.1. Which is the closest to 0.2? (a) k (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/8)\/(11*42\/616).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 170790.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12118, -12124, -12132, -12142, -12154, -12168?\nAnswer: -12184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3275706*k*o - 5051860*k wrt o?\nAnswer: 3275706*k","meta":{"dup_signals":{},"source":"calculus__differentiate_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: How many tonnes are there in 281611.9 grams?\nAnswer: 0.2816119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 15) in base 13?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3658306877 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -10352 + 10370. Solve -5*j = v*w - 1, 2*j + 2*w + 25 - 23 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 1:39 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*o + 8, -3*o - 2 = 5*f - 0*o. Let h(i) = -i**3 + 21*i**2 - 16*i - 77. Calculate the least common multiple of (0 + f - 0) + 4 and h(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -3138?\nAnswer: -5\/3138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let x(k) = 2*k**2 - 5*k - 4. Let u be x(p). Let g be 4\/(-14) + 90\/u. Solve -2*a = 2*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 190*(-13)\/(-312) + (-1)\/6 and 2\/(-3)*(-121)\/48?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137237 divided by 7223?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b + 25 = -2*j, 4*b - 38 = 5*j. What is the highest common factor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k. Let q be t(5). Let i = -8244 - -8250. Let g(h) = h**2 - h - 2. Let b(o) = o**2 - o - 2. What is i*b(u) + q*g(u)?\nAnswer: u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Let p(x) = 64666*x. Determine j(p(l)).\nAnswer: -8363383112*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, -1115, -3182, -6071, -9782?\nAnswer: -14315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -73. Let k = -58.9 + j. Which is smaller: -2\/11 or k?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.9, -0.084, -0.2.\nAnswer: -0.2, -0.084, 1\/9, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 + -252.6. Let l = 63 - 36. Let o = l - s. Round o to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 128.9, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 31 - 13. Let g = -4 + o. Suppose 0 = g*k - 53 - 41. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 1. Let o(a) = -a**2 - a - 1. Let k(r) = 9*r + 9 + 13 - 3*r + 5*r**2 - 16. Let i(u) = k(u) + 6*o(u). Give i(n(l)).\nAnswer: -9*l**4 + 6*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931288?\nAnswer: 2, 116411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570 - 564. Let p(n) = 12*n**3 - 22*n**2 + 3*n - 14. Does 44 divide p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - n = -18, 3*m + 3*n - 14 = 4. Suppose -m*j - 3 - 6 = 0. Let h(y) = -y**2 - 5*y + 1. What is the units digit of h(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.95 and -12.831.\nAnswer: -12.18945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000060134 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*s + 5*s - 10*s)*(-s + s + s - s + 0*s + 0*s + (3 - 2*s - 3)*(4 - 6 + 0)).\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 211, -1, -1\/12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vceuvvccvc. Give prob of picking 2 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 644468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 + 12*n - 43. Let b be l(3). Calculate the least common multiple of 382\/b - 35\/((-7)\/(-1)) and 18.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqcf when four letters picked without replacement from qfqqqqcqqccqccccqff?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 1, -15013, 2\/7, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 3085*o + 414810.\nAnswer: 5*(o - 419)*(o - 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 408.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -3\/10 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 5*f - 35 = 76, 66 = 19*p - 7*f + 2*f + 21 - 154 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760339 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 - 4*r + 4*r)*(-6 + 10*r + 14 - 9*r) to the form o*r + m*r**2 + i + w*r**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54817392?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v, -2*q + 3*v = 5*v - 6708. Suppose 0 = -3*z + 8*z + g - q, 0 = 5*z - 3*g - 3352. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371675 at least 371675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1687*w**4 + 139*w**3 - 12*w**2 - 4*w - 27724428.\nAnswer: -20244*w**2 + 834*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5*26*(-6 - -16). What is the smallest common multiple of 2 and (-119)\/(-3) - m\/156?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 + 79547*r**2 - 6 - 5*r**3 + 6*r**4 - 79545*r**2 to b*r**4 + o*r**2 + j*r**3 + x*r + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12. Which is bigger: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145880 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**5\/60 - n**4\/6 - 2*n**3\/3 + 9*n**2\/2 + 5*n. Let p(w) be the first derivative of s(w). Let c = -4 + 9. Determine p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 5. Let z(h) = h**2 - 384. What is z(o(l))?\nAnswer: 4*l**2 - 20*l - 359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*y = -3*p - 10, 16 = 2*p + 3*y. Let x(j) = 5*j**2 - 3*j**p + 0*j**2. What is the units digit of x(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c - 2*c**2 - 4*c)*(43 + 11 + 8) to the form l*c + d*c**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 15 + 9. Suppose 9*t = 7*t - d. Is -5\/7 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - p - 1. Let m(h) = -8*h**2 - 6*h + 25. Give m(y) - 6*q(y).\nAnswer: -2*y**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -137?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310111030 (base 5) in base 9?\nAnswer: 6027170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 21*b**2 + 19*b + 27. Give h(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6905074545.\nAnswer: 3, 5, 5527, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*p + 61*p. Suppose 6*a - a - 210 = p. Calculate the lowest common multiple of 12 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) + 1641585\/160 + -6. Let t = b + -10257. Calculate the common denominator of 9\/8 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*x + 384 + 597 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -0.12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 1, n: 1, f: 2, s: 1, v: 5}. Give prob of sequence hvs.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4\/(z*z*z**20\/z*z*z) assuming z is positive.\nAnswer: z**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6517 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 6*l + 26*l. Let i(v) = 2*v**2. Give o(i(r)).\nAnswer: 58*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -269300.2.\nAnswer: 1077200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35040 - -56?\nAnswer: -34984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 32 - -9 - (36 + -33)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 172.558 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -4.03. Let w = 3.95 + 0.05. What is the nearest to -0.1 in p, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -24\/17, -0.02, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/24 + 5*p**2. Let r be k(-1). Let z be r - (-3 - (126 - 2)). What is the highest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.44409 rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1054\/11 - 96. Let t be (-1472)\/(-3220) + (-4)\/70. Sort t, 0.06, m.\nAnswer: m, 0.06, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -49779.\nAnswer: 29867.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 30*v**2 + 51*v + 1570. Let n be p(-30). What is the highest common divisor of n and 8570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -117905\nAnswer: -3\/117905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(1265\/22))\/(8\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19373, 27, 5 in ascending order.\nAnswer: -4, 5, 27, 19373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 795061 (base 10) to base 16\nAnswer: c21b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66463 is divided by 16548?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 949567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303503 (base 7) in base 10?\nAnswer: 51698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*c - 9*c. Sort c, -1, 262.\nAnswer: -1, c, 262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54 - -55) + (-18 - -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1210718 + 479818. Round h to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9244208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 171*d**3 + 27*d**2 - 29631*d + 140238.\nAnswer: 3*(d - 7)**2*(d + 18)*(d + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 540537 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 1200.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**7\/840 + k**6\/180 + k**5\/30 + k**4\/24 + 8*k**3\/3 + 17. Let o(q) be the third derivative of u(q). Calculate o(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let z(v) be the third derivative of -13*v**7\/2520 + 3*v**4\/8 - 7*v**2. Let i(a) be the second derivative of z(a). Give i(q(c)).\nAnswer: -13*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/(sqrt(3) + sqrt(15)\/sqrt(5)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(72)*2)\/sqrt(2))\/(6*1*sqrt(108)) + 5.\nAnswer: -sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 71.91702mm?\nAnswer: 71917020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 + 3*o**2 - 6*o - 4. Let c(b) = -4*b**3 - 2*b**2 + 5*b + 3. Give -3*c(q) - 2*n(q).\nAnswer: 2*q**3 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcq when three letters picked without replacement from qcqwcqqccqcqqqcqcwqq.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -388*r**2 - 394*r**2 + 784*r**2. Let m(y) = -53*y**2. Calculate f(m(o)).\nAnswer: 5618*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 243 - 651?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/19894 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 14*k**2 + 22*k + 18. Is w(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -409, -0.4?\nAnswer: -409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (4\/(-6))\/(1\/(-24)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6991793*l**3 + 578800*l**2?\nAnswer: 41950758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20639537 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -g - 0*g. Suppose -2*r = l - 3, 0*r + 2*l - 2 = -2*r. Suppose 0 = r*c - 21 + 7. Calculate the highest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.69373 hours in milliseconds?\nAnswer: 204097428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 8.209121.\nAnswer: -101.790879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 14) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 120 - 150 = 0. Let z = b + 110. Factor -6*i**2 - z + 48*i + 1\/4*i**3.\nAnswer: (i - 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**1\/p)*p)**(-29)\/(p\/(p\/((p\/(p\/p**(2\/11))*p)\/p*p))*p**(-6)) assuming p is positive.\nAnswer: p**(-266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 + 4*j**3 - 3*j**3)*(-3*j + 2*j + 3*j)*(5487 - 2683 - 2710) in the form h*j**2 + c + b*j + x*j**3 + d*j**4 and give d.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30339.\nAnswer: 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 22*p - 18*p + 10, -p = -4*j - 2. Which is the nearest to -0.2? (a) 0.3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3011372 is divided by 75284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.68 + -19. Let v = 1.86 - m. Round v to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*h - 19. Is -3*-5*(-15)\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3*o + 8)*(1 - 1 - 2*o) - 3*o**2 + o**2 + 0*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*o**3*p*y**3 - 127*o**3*y**3 - 25*o**2*p*y**2 + 3*o**2*y**2 - o*y - 5*p*y**3 wrt o?\nAnswer: 276*p*y**3 - 762*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 16802 + 6480. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382892, 3063082, 10337882, 24504596, 47860528, 82702982?\nAnswer: 131329262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1351 - 1349. Suppose 32*u = 36*u - 84. What is the closest to u in g, -2\/3, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svww. Give prob of sequence sv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49896571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/72472 and -39\/11.\nAnswer: 797192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*u - 44 = 0, -4*w = -2*u - 8 - 36. Suppose 0 = -s + 2*s + 3*v - 31, v = s - w. What are the prime factors of (4 - 0)*(s - (-3)\/(-1))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllpllzsllll. Give prob of sequence lsz.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 298*c**2 + 2*c + 2. What is the hundreds digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-13 - (11 + -18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*x**4 - 5*x**2 - 1539574*x + 332287283.\nAnswer: -16*x**3 - 10*x - 1539574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -5)\/((-129)\/(-44) - (-6886)\/(-2504)). Let o = -3.05 - -0.05. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**3\/27 + z**2\/9 + 4*z\/9 + 4. Determine r, given that s(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y + 6603 = -121*y + 2463 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - -1)*(-13)\/(-39). Let v(u) = -4*u**2 + 25*u - 1. Let n be v(6). Let s = 0 + 1. Sort n, -5, p, s in decreasing order.\nAnswer: n, p, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.467362 centuries?\nAnswer: 0.5467362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/3)*h*h**(1\/11) assuming h is positive.\nAnswer: h**(47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3*f - 6)*(-5 + 1 - 6)*(-f**3 - 2*f**3 + 2*f**3) to k*f**4 + j*f**2 + s*f + d*f**3 + a and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.46 - 0.03. Let n = 0.430124 - b. What is n rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/120 + m**5\/30 - 2*m**2. Let r be p(-1). Let h = 1 + 2. Which is the closest to r? (a) 0.2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(-5*(-6)\/(-120)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3947 = 30*c + 3887. Factor 0*v**c + 0*v + 3\/2*v**5 + 3\/2*v**3 + 0 + 3*v**4.\nAnswer: 3*v**3*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 10 = -2*c, 5*o - 15 = -2*c + 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -371860414*a**5*l**2 - a**2*l**2 - 7*a**2*l + a**2 + 2*a - 2*l**2 - 23031 wrt a.\nAnswer: -22311624840*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9278 (base 11) in base 15?\nAnswer: -39a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570849 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3491*v**3 - 326*v**2 + 2*v wrt v.\nAnswer: 20946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + 7*g + 4. Suppose 5*h + 27 = -5*r - 13, 2*h - 3*r = 9. Let w be k(h). Solve 0 = d + 2*m + m + w, -4 = -4*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qojsseesjjdsdjoojoq. What is prob of picking 2 d?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d - 7 - 4*d**2 + 2*d - d wrt d?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 4 = -4*u. Suppose -2*j - u = -16. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/42)\/(2\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**5\/3 + 3914*g**4\/9 - 1378*g**3 - 51602*g**2\/9 + 20020*g\/3 = 0.\nAnswer: -2002\/15, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 737\/26?\nAnswer: 737\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902196581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -906*f + 31*f**2 - 913*f - 907*f + 2726*f. Let v(k) be the first derivative of -k**3\/3 + 1. What is w(v(c))?\nAnswer: 31*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11710 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 + 2*4. Let x = 14 - t. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w**2 - 4*w + 7. Let h(r) = -13*r**2 + 3*r - 6. Suppose 48*c = 45*c + 2*o + 18, -5*c + 2*o + 26 = 0. Calculate c*y(j) + 5*h(j).\nAnswer: -9*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 10, u + 2*u + v = 923. Which is smaller: 308 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7854 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6260*t**5 + 9*t**2 - 2*t - 90?\nAnswer: 375600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 94*w + 350. List the prime factors of p(18).\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**3\/2 + g**2 + 25*g - 6. Let l(u) be the first derivative of k(u). Give l(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 143\/(-2)*-1*2. Let u = 176 + t. What is the lowest common multiple of 3 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-90)*-5*4\/(-16). Sort d, -0.04, -2\/9, -1 in descending order.\nAnswer: -0.04, d, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 - 3 - 2 + 4 + (-1 - 1 + 0)*(1 + 1 + 0) + 0 + 1 + 0 + 5 + 0 - 3)*(-20 - 10 + 6)*(-3*g**4 + 6*g**4 - g**4).\nAnswer: 192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 2258991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -108*a**2 + 114*a - 1. Let v be c(1). Let p = -1.5 + -0.3. Let q = p + 2. What is the closest to 6 in v, q, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 28268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 48891*k + 830569.\nAnswer: (k - 17)*(2*k - 48857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**8)\/c)\/(c**8\/c)*c**(2\/11)\/(c\/c**17*c))**(-14\/3) assuming c is positive.\nAnswer: c**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*g + 2, -3*g = -n - 14 + 3. Suppose 0 = -3*q + 5*w + 26, 4*w + 5 + 1 = -5*q. Which is the closest to -2\/3? (a) 3 (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 + 418*f - 2541. Calculate s(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 7*s - 68, 4*l - 3*s + 2*s + 27 + 27 = s for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 8*n**2 - n - 4. Let l be -10 + (-2 - 16\/(-4)). Let j be p(l). Factor 4\/3*y**3 - 2*y**j + 0 + 0*y + 0*y**2.\nAnswer: -2*y**3*(3*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 595 (c) 7 (d) 23870\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -83736010 to the nearest 1000000.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 2*u + 652, 2*x = -4*u - 670. Let t = 489 + x. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j**2 - 290*j + 43. Let m be b(18). Let q be 7\/(3*2\/258). What is the greatest common factor of m and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19134 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2659 + 201*g**3 + 5309 - 2650.\nAnswer: 201*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(sqrt(64)\/sqrt(8) + sqrt(6)\/sqrt(3)*2 + 3).\nAnswer: -24*sqrt(2) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 72.966. Let w = y - -0.334. Let l = -4.11 - -0.11. What is the smallest value in 8, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -5. Let t = o - -9. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 215 = 70. Calculate the remainder when 2\/(-4) - (331\/(-2) + 3) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2471 - 2472. What is the second smallest value in -2\/9, -5\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*b**3*o**2 + 32680245*b**3 + 2*b**2*o**2 - 61*b**2*o + 11*b*o**2 + 56*b + 2*o + 197 wrt b?\nAnswer: 102*o**2 + 196081470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13507253 divided by 1.\nAnswer: -13507253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, -2764, -4145, -5526?\nAnswer: -6907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12990?\nAnswer: 2, 3, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1610.7532529 to one decimal place.\nAnswer: -1610.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -50. What are the prime factors of -261*(u\/9)\/((-2)\/(-4))?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77812927*r**3*y - 5*r**3 + 2*r**2 + 749*r - 7 wrt y.\nAnswer: 77812927*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*l = 109*l + 4. Solve -3*k - l = 3*h - 7*h, 3*h - 5*k = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 34. Let l be 17 + (-3 - -18)\/u. What is the common denominator of 139\/6 and -28*l\/(-104) - 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 369372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 168 = 0. Suppose -25*c = -22*c + m. Let l be ((-4)\/3)\/(c\/(-12) - 3). Solve l = 4*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 304 - -5?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2583 + 2373 + 5632)*(z**2 - 2*z**2 + 0*z**2) as c*z + h*z**2 + o and give h.\nAnswer: -10588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 466237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.565211 days?\nAnswer: 5133.90384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*x + 92 - 1404 = 1204 + 6424 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from eevlveeveeaa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 6*o**2 + 0*o + 0*o**7 + 0*o**6 + 1\/168*o**8 + 0*o**3 + 0*o**4 - 1\/20*o**5 + 0. What is the third derivative of d(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 49*i - 7. Does 14 divide m(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + o**2 - 3*o**2)*(-2 - 4 + 3) + o**2 - 2*o**2 - o**2 + (0*o + 3*o - 5*o)*(3*o - 2*o - 3*o) + 4*o**2 + 5 - 5*o**2 - 4.\nAnswer: -5*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8078 + -2222. What is the lowest common multiple of w and 24?\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 247 + 509. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.43 - 40.43. Let o(g) = -g**2 - 5*g - 3. Suppose 9 = -5*x - 16. Let s be o(x). What is the closest to 5 in s, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 - 137.85. Let w = v - 19. Let d = -0.25 - w. Is -0.2 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 0.3. Let g = 13 - -4. Let h = 14 - g. Which is the nearest to n? (a) h (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2423 and -12.6.\nAnswer: 30529.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 - 3*o + 1. Let r be n(2). Factor g**2 + 5*g**2 + 2*g**r + 3*g**2 - 11*g**2.\nAnswer: 2*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 - (50 + -1 + (-2 - -10) + -3)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82387 or -82548?\nAnswer: -82387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -102. Let h = 3038.728 + -3107.9. Let w = h + q. What is w rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69986879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1. Let z(b) = b**5 - b**4 - b**3 - b**2. Let x(g) = 4*g**5 - 4*g**4 - 4*g**3 - 3*g**2. Let k(d) = i*x(d) + 14*z(d). Factor k(h).\nAnswer: -2*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l - 11*l**2 + 2*l**2 + 10*l**2.\nAnswer: l*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -8, -6845, -2, -3 in increasing order.\nAnswer: -6845, -8, -3, -2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z**13\/z)\/z)\/z**(-18))**(-3\/13))**(-2\/91))**14 assuming z is positive.\nAnswer: z**(360\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 608*h**2 - 211*h - 38. Does 3 divide a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 54. Let f be t(19). Suppose -5*a + 38*j + 717 = 36*j, -f*a - 4*j + 425 = 0. Calculate the remainder when a is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 - 2556\nAnswer: -2559.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = h + 5*m, 247 = 4*h + m - 373. Calculate the greatest common factor of h and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + a**3 + a - 9*a**3 + 18*a**3.\nAnswer: 13*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -44.\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15622*n + 7454*n + 7217*n)*(-3 + n + 3) + n - n + 2*n**2 + (-1 + 1 + 2)*(2*n + 2*n**2 - 2*n) + 2 - 2*n**2 - 2.\nAnswer: -947*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -40.26. Let w = -0.260001 + n. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {b: 3, u: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*v + 75127 + 7709 = 0 for v.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.82 * -0.5.\nAnswer: 1.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 251, 246, 239?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 6*o + 2 + 18*o - 2.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfqt when four letters picked without replacement from tqftq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5043025 divided by 1008605.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.1 (b) -71\/19 (c) 3\/8 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/6 + 277*w**3 - 4999*w**2\/6 - 1110*w = 0?\nAnswer: -1665, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k - 4. Let q(w) = 5*w**2. Calculate g(q(t)).\nAnswer: 10*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 107054 (base 9) to base 16\nAnswer: fac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + -2 - (121 + -129)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-1836))\/(2\/96*-4)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - q - 1. Let y be z(3). Solve -y*v + 5 = 4*s, 8 = -2*v + v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657100 by 691.\nAnswer: 657100\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 406280 divided by -75\nAnswer: -81256\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (5 + (sqrt(847) - (sqrt(847) + 3)))) + (6*(sqrt(847) + 1) - sqrt(847)) - -5*(-5 + sqrt(847) + 1 + 6*(2*sqrt(847) + sqrt(847))))*6)**2.\nAnswer: -1279872*sqrt(7) + 311058108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 and 51\/61678.\nAnswer: 185034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.73 - 5.71. Let f be (-22)\/21 - (-4)\/(-14). Let j = -1.4 - -1.1. Put z, f, j in increasing order.\nAnswer: f, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1601*o = -1046*o - 527*o - 117438 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222000021020 - 0?\nAnswer: 21222000021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2. Suppose 0*b = b + 1, -4*b = -4*c + 48. What is the tens digit of d + c - (3 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 - 35\/3*d**3 + 2*d**2 + 1\/12*d**5 - 65\/24*d**4 + 28*d. What is p in l(p) = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40553 + 3?\nAnswer: -40550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 589329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, -1\/17, 0.02 in decreasing order.\nAnswer: 0.02, -1\/17, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157788336 rounded to the nearest one million?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89856 at most 89857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 21. Calculate n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18063\/8 + -2253. Let s = 1\/445 - 463\/89. What is the common denominator of s and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -226576\/12459 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19046 - -571241\/30. Let u be (-10)\/50 - 74\/20*4. Calculate the common denominator of (-83)\/u - 3 - (-1)\/3 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*l + 15 - 15 + 84*l.\nAnswer: -246*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 30 = 0, 4*b - 812*j = -813*j + 82. Solve 0 = 4*t + 5*x + 25, 0 = 4*t - 33*x + 35*x + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + c**3 - c**3)*((4 - 1 - 2)*(-3 + 0 + 1) + (0 - 3 + 2)*(3 + 2 - 7) - 2 - 2 + 3 - 5 - 1 + 24).\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 556544383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21770)\/1035)\/(-7) - 3. Let d = -379\/7245 - y. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18095282089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 26048\/960 - 6\/(-45) - 78?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163796.714 times 0.5?\nAnswer: 81898.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 6*o**2 + 7*o + 3. Suppose -2*d + 19 = d - 2*r, 0 = d + 3*r - 10. What are the prime factors of h(d)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-107)\/(-642) + ((-2)\/12)\/1. Solve 4*p - 2*a + 18 = t, -p - 2*p = -3*a + 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 11*y - 33. Let g be s(3). Let z = -38\/2553 - 8\/111. Which is greater: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**7\/35 + q**5\/5 + 5*q**2. What is the third derivative of k(x) wrt x?\nAnswer: -144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j**2 + 5*j**3 - 14*j**2 - 25*j - 17*j**2 + 28*j as t*j + y*j**3 + o*j**2 + c and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3186 - -0.0186. Let i = 0.08 - -6.92. Let x = 2 - i. Which is the third smallest value? (a) x (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 18*d**2 + 32*d + 1. Let c be o(-16). Suppose 9*m = 12*m + 3. What is the third biggest value in m, c, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44188215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 23*r + 160. Let t be (-3)\/(117\/(-501)) - 10\/(-65). Calculate the least common multiple of 65 and h(t).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - t - 8, -5*a + 5*t - 33 = 7. Calculate the common denominator of 59\/4 and 104\/96 - (-2)\/a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.3. Let b = 16.8 - 17. Let u be 1290\/(-3311) + (-8)\/(-14). What is the second biggest value in u, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2245009.\nAnswer: 13, 59, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - -184) + (-2 - 67).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 3*t**8\/196 + 71*t**7\/735 + 26*t**6\/105 + 11*t**5\/35 + t**4\/6 - t**3\/21 - 250*t**2. Factor y(g).\nAnswer: 2*(g + 1)**4*(18*g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -2. Let o(d) = d**2 + 5*d - 2. Let w be o(-6). Suppose -3*x + 0*g - 5*g - w = 0, -3*g = -2*x + 10. Solve -5*m + 15 = -3*f, h*f = m - 5 + x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(567))\/sqrt(9) - sqrt(49)\/(sqrt(35)\/sqrt(5)) - ((5*sqrt(175)*4)**2 - sqrt(175)).\nAnswer: -70000 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324494 is divided by 6358?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*-2*5 + sqrt(242).\nAnswer: -99*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1383 + -1373. Calculate the remainder when 558 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 58 = 2*l - 34, -4 = 2*l. Which is the nearest to -8? (a) 0.4 (b) 3 (c) z (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 14144142?\nAnswer: 14144151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1306437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6926 is divided by 314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -4\/7 (c) 4\/3 (d) 2\/13 (e) 0.4 (f) -3.2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w + 1221*w**3 + 108*w.\nAnswer: 1221*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (205\/50)\/((-1271)\/(-124)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 28 = -7. Suppose z*h - 60 = 2*h. Calculate the least common multiple of (-8)\/h - (-10)\/6 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 138594003?\nAnswer: 138594002.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**2*r**3 - 306*j**2*r - 5311*j**2 + 6*j*r**3 - 11387112*r**2 wrt j.\nAnswer: 16*r**3 - 612*r - 10622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/16 and 87\/304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 604*k**3 - 2 - 1231*k**3 + 596*k**3 to the form n*k**3 + s + y*k + h*k**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 2)*(-3 + 1 + 0) + 0 + 4 - 3)*(6 - 5 + 3)*(22*h**2 + 10*h**3 - 22*h**2)*(-65 + 65 - 45*h**2).\nAnswer: -5400*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*t - 7 = 2, -10 = -5*t. Let q = s - -4. What is the remainder when q is divided by (-6)\/(-2) - (1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*sqrt(209)\/(sqrt(11) - (sqrt(11) + sqrt(275)*-1)) + (sqrt(152)*-2*5)\/((sqrt(72) - (sqrt(72)*1 - sqrt(72)))\/sqrt(9))) + -1)**2.\nAnswer: -176*sqrt(19)\/5 + 147161\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 11\/(2\/(8\/4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {u: 2, m: 1, p: 3, t: 1, i: 5, h: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6803.3 + -6803. What is the nearest to 18.29 in 4\/7, r, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23783 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6968372 - -116.24.\nAnswer: -6968255.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5*j - 10 = 0, -14 = -0*v + 4*v - 2*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 511122942 to the nearest integer?\nAnswer: 22608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232528687624\/1629 - -142743202. Let b = d + -2\/181. What is the common denominator of b and -56\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-435040)\/(-38066))\/(1*10\/35).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475956.42 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.2 + 2.05. Round l to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25019 - 7774 = 656*s - 8339 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 = -2*o + 6, 0 = 3*f - o - 3. Let t(j) = -2*j + 3 + 2*j**2 + 0*j**2 - 4. Calculate t(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {a: 7, c: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = 21. Let k be 2\/w*6 + 7. Factor p**k + 2*p + 0*p**3 - 1 + 2*p**3 - 4*p**3.\nAnswer: (p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -10849?\nAnswer: -10849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 603 = -6*w. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -0.1, -2\/5 in increasing order.\nAnswer: -2\/5, -0.1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 + 39 + 559*y**2 - 80 to the form w + a*y**2 + x*y and give a.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -32*s - 27. Let b be d(-1). Let f(k) = 59*k - 210. Calculate the smallest common multiple of f(b) and 17.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 1. Let x(d) = -d + 1. Suppose -2*k + 10 = 0, 9*m = 6*m + 4*k - 5. Give m*o(s) - x(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-29*(-29)\/(-60552))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*s + 20 = 0, -19 + 7 = -4*f + 4*s. Suppose -6 = 2*o - f*m, 6*m - 15 = -o + 2*m. Suppose o*w - 34 = w. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*i - i + 4, -k + 2*i - 8 = 0. Let x be 4 + ((k\/5)\/(-1))\/5. Solve -p + x*r - 20 = 3*p, 4 = 4*p + 2*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272) + 3 - (2 + sqrt(272) + 0))**2 - (4*(sqrt(119) - sqrt(119)*1)\/sqrt(7) - 6*(((1*sqrt(119))\/sqrt(7))**2 - sqrt(17))).\nAnswer: -6*sqrt(17) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 85. Suppose -1431 = g*b + 2321. Is (b\/12)\/(2\/(-69)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 62\/(-217) + 14341\/(-56). Let h = t + 267. What is the common denominator of h and -85\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*t + 105*t + 460*t + 65160 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 49637, 49636, 49635, 49634?\n\"Answer: -g + 49638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 - -602?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8957615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/(-21)*(-13)\/3. Let v = -2666\/119 + s. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 5 + 2 + 2*r. Let b be u(9). Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7.3. Let q = -5.05 + 0.05. Let h = -3 - q. Which is the third smallest value? (a) j (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990618 is divided by 495265.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, -2\/2177, 2\/15?\nAnswer: -2\/2177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393.1672 milliseconds to microseconds.\nAnswer: 393167.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*z - 104601 = -138*z. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -65. Let n(b) = 2. Let l(t) = -18*t + 2. Let u(o) = m*l(o) + 2*n(o). Let y(c) = 3*c**2. What is y(u(z))?\nAnswer: 3888*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2958 and -167\/402798.\nAnswer: 11681142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1300) - (sqrt(91) + (sqrt(91) - sqrt(91)*1))\/sqrt(7).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33024 (base 5) to base 9\nAnswer: -3085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)\/l)\/l**(-7\/6)*(l\/l**(-11))\/(l*l*l**(1\/18)*l*l))**45 assuming l is positive.\nAnswer: l**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -125.57. Let m = -1.669 + p. What is m rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7519550 divided by 12745?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(-8)))\/m)**(-2\/3)\/((m**(14\/9)\/m*m)\/m*m**(-4\/5)) assuming m is positive.\nAnswer: m**(311\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtbil. What is prob of sequence bij?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -19. Let n = j + 2.8. Which is the nearest to n? (a) 1 (b) -4\/3 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(5\/2)*r)\/(r**(-8)\/r))\/(r*r**(-1))**(34\/3) assuming r is positive.\nAnswer: r**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 42. Let z be q(-14). Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2, 0.69?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let c(f) = 39*f + 14. Let y(x) = c(x) - 3*i(x). Let s(n) = -7*n - 2. Let m(l) = -11*s(l) - 2*y(l). Let v(r) = 6*r. Calculate m(v(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7762380258 - 7762380210.99999803. Let h = -47 + r. Round h to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**3 + 3*o**3 + 10*o**3 + 3*o**3 + 3*o in the form z*o**3 + q + l*o + w*o**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let y(z) = 9*z**2. Give j(y(d)).\nAnswer: 81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/(-33))\/(2\/(-3)). Suppose 0 = -i + 3*r - 3 + 20, r - 1 = -i. Solve 3*o - p - j = o, -2*o = i*p + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {n: 2, x: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -13. Let h(n) = -5*n**3 - n**2 - 2*n. Let m(j) = -j**3. Suppose -2*o - 8 = -0*o. Determine o*m(t) + q*h(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**2 - 5*t - 1. What is the remainder when (1*-1)\/(1\/(-25)) is divided by w(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4428 - 138?\nAnswer: 4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/5 (c) -6\/11 (d) -9847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -12941*r**4\/12 - 4*r**3 - 58*r**2 - 1725*r. Find the second derivative of g(k) wrt k.\nAnswer: -25882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -2\/27*i**3 + 1\/36*i**4 + 0 + 2*i**2 + 9*i - 1\/270*i**5. Let z(y) be the first derivative of w(y). Factor z(g).\nAnswer: -2*(g - 2)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70435446*k*z**3 + 3*k*z**2 + 457*k + 3187*z**2 wrt z.\nAnswer: -422612676*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, -2, -38, -110, -230, -410?\n\"Answer: -2*b**3 + 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 356, 466, 532, 554, 532, 466?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -0.1749, 1\/4 in descending order.\nAnswer: 1\/4, -0.1749, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2684, -5352, -7996, -10604, -13164?\nAnswer: -15664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x - 6*x)*(85 - 85 + 84*x) as k + f*x + i*x**2 and give i.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 0.2, -0.03987817?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -18*g + 6. Let b(c) = 3*c - 1. Determine -34*b(s) - 6*k(s).\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -35*d. Let z(n) = -6*n. Calculate l(z(r)).\nAnswer: 210*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370 and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d - 0*d. Suppose 4*m - 61 = -5*v, v - 28 = -3*v + d*m. Is 23 a factor of (-6)\/v - (-462)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/56)\/((-2)\/(-2)). Which is the nearest to -1? (a) 1\/3 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Let s = 9 - b. Sort -0.1, 1\/9, s in decreasing order.\nAnswer: s, 1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -446 - -633. Let p = -35 + 52. What is the greatest common factor of d and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/1*(2*(-7)\/6)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = 5*i + 12*y, 13*i - 18*i + 202 = 9*i + 3*y for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(2 + r - 3*r - 3).\nAnswer: -4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 7*m**2 - 20*m - 138. Let r be q(-6). What is the highest common factor of 1517 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-300*p + 4 - 6 + 1271*p)*(-33 + 31 + 26)*(2*p + 2*p - 3*p).\nAnswer: 23304*p**2 - 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299, -2432, -8255, -19610, -38339?\nAnswer: -66284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83298.1 centuries to millennia.\nAnswer: 8329.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7506 = -2*s + 5*s. Suppose 4*a - 2*b - 2496 = -0*a, 4*a - 5*b - s = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.07291 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 5)*(-13)\/(1755\/9). Let l(v) = v**3 - v**2 - 2*v - 1. Let u be l(2). Which is the closest to -1? (a) 4 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*-2*sqrt(637) - sqrt(637) - sqrt(637))**2 - ((sqrt(1872) - (1*sqrt(1872))**2)*-6 + (2*sqrt(1872))**2*3).\nAnswer: 72*sqrt(13) + 7071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700) + -1 + sqrt(1700) + 2 + sqrt(1700))*6)**2.\nAnswer: 2880*sqrt(17) + 979236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 461*k**3 + 6*k**2 - 22 + 460*k**3 + 6*k**2. Let l be m(12). Sort 3, -2, l.\nAnswer: l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:56 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 135893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*w + 41, -2*w - 2*w + 2*l + 68 = 0. Let r(n) = n**3 - n**2 + n + 3. Let g be r(0). 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 g be 2 + 0 + 28 + 1. Suppose 3*w - 109 = -g. Suppose 0 = 4*t + 2*p + w, 5*t - 5 = -0*t + 5*p. Let y(k) = k**2 + 4*k - 1. Determine y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 188, 320, 466, 620?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(sqrt(171) + 1 - sqrt(171)))**2 + -6*((sqrt(114) - sqrt(114)*1)\/sqrt(6) + sqrt(171)*-6)**2.\nAnswer: -36911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 6. Let n(w) = 2*w - 10. Let t(l) = 3*l - 12. Let k(z) = -6*n(z) + 5*t(z). What is o(k(g))?\nAnswer: -3*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -23*y**3 + 17*y + 18. Let z be u(-1). Solve -5*i + 5*n - 35 = 0, -28*i + 5*n = -z*i + 32 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36690 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 12. Let c(z) = z**3 + 4*z**2 - 9*z + 4. Let d be c(p). Calculate the common denominator of -11\/7 and 558\/d + 18\/30.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - 4)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164537 is divided by 1723.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - -72) + -5 + -1 + -74 + (-33 - -28)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-2\/5))\/d)\/d*d**(-6) assuming d is positive.\nAnswer: d**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 23, 5, 2\/3, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzzhl. What is prob of picking 1 l and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -6, 6, 20, 36, 54?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -26, -83, -192, -371, -638?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1 + (-4)\/8). Suppose 5*g - i = 2*a - 0*a, -2*g = a - 3. Solve -3 = -l - a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/241 - 428\/2169. Which is the biggest value? (a) -3 (b) m (c) 21 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0668 and 65930912.\nAnswer: 65930911.9332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (5*sqrt(170)*-1 + sqrt(170)))\/sqrt(10) + -3.\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -3. Let o = 14 + g. Let t(p) = 8*p - o*p**2 - 1 - 7*p + 3*p**2 - 2*p**3. Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1320 and 58094960?\nAnswer: 174284880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + c + 2. Let w be h(-1). Suppose -w*g - 24 = -5*g. Suppose -k + 3*k = -4*v + 152, -4*k = g. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let g(i) = 6*i**2 - i - 6. Let c = -80 - -90. Suppose -c*h + 8 = -8*h. Let x(b) = h*k(b) - g(b). Give x(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 4. Suppose -2*g = -5*n - 49, 48 = -3*n - 0*g - 5*g. Let s(m) = 3*m - 11. What is n*o(w) + 4*s(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l - l - 5*l + (-1 + 2*l + 1)*(3 - 1 - 1) + 4*l - 2*l - l + 3*l - 3*l + 3*l + (-1 - 1 + 3)*(4*l + l - 2*l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.016, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**21*g*g*g*((g\/g**(12\/7)*g)\/g)\/g)\/(g**4\/g**17) assuming g is positive.\nAnswer: g**(247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5857020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i**3 - i**2 + 2*i + 5. Is b(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108183 (base 9) to base 14\nAnswer: -199b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b6b11 (base 16) in base 5?\nAnswer: 1212023312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 2*w**2 + 8*w + 2. Let g(p) = -10*p**3 - 6*p**2 + 25*p + 6. Give 7*c(z) - 2*g(z).\nAnswer: -z**3 - 2*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 - 12*n**2 + n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -7 (c) 1.4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 26) + -4 + -940 + 1065?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {c: 4, n: 8, z: 1, e: 1, d: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.9 - 69.8. Is s greater than or equal to -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1012 - 0.1493. Let h = o - -0.05. Round h to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 594 - 76)*(-6*s**2 + 3*s**2 + 2*s**2).\nAnswer: 616*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 154960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 824*y + 835*y - 8*y**2)*(2 + 2 - 6)*(-y + 3*y - y) in the form q + w*y + o*y**2 + p*y**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*k**2 + 10*k - 79*k**3 + 1925*k**2 - 3862*k**2 - 10*k.\nAnswer: -79*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-1)\/(3\/3). Let s(n) = t - 7*n + 0*n + 2*n + 4*n. Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20720 and -31\/2590.\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*p**2 + 2998*p**2 - 745*p**2 - 731*p**2 - 757*p**2.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271951*u**2 - 6*u + 28314?\nAnswer: -543902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/52 and 89\/40?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 135. Let l(v) be the second derivative of 0*v**2 + b - v + 1\/6*v**3. Let p(y) = 3*y**2. What is p(l(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 351 (c) -24 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2547, -20381, -68799, -163095, -318563, -550497, -874191, -1304939?\nAnswer: -1858035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 48898989.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24337*d**3*n**3 - d**3*n - 109*d**2*n**4 + 2*d**2 + 15*d + n - 18494 wrt n.\nAnswer: 146022*d**3*n - 1308*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2990 = 2*v - 1050, -4*y + 2005 = v. List the prime factors of v.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/8 + 256517*i**2\/8 - 16450114563*i\/8 - 16450371081\/8.\nAnswer: -(i - 128259)**2*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let f(m) = -184*m + 38. Let s be (-12)\/3 - (-11 - -5). Let o(b) = s*n(b) - f(b). What is the derivative of o(k) wrt k?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10487271000 rounded to the nearest 1000000?\nAnswer: 10487000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:22 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-42) + -11 + (-510)\/42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 352.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-179)\/(-1074) + 116\/(-552).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0277942315 rounded to four dps?\nAnswer: 2.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 42*p + 9*p + 2*p. Let t(k) be the second derivative of 0*k**2 + 16 + 1\/6*k**3 - k. What is a(t(s))?\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 7\/3329807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4066 - -4062. Which is the closest to 0? (a) q (b) 0.011 (c) -0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**43*g**3\/g**(-6) assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3773 divided by -1711\nAnswer: 3773\/1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14) - 760000\/(-33250).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*j - j + 222, -4*r + 46 = j. Suppose -159*w + 158*w = -j. Calculate the remainder when w is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*g - 17034 = -627*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*s + 6*s - 3, -2*s + 2 = 4*v. Suppose v*g = -g + 24. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*z + 86*z + 147 = 166*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 4*x - 13, x = 2*p + 7. Let i(f) = -f**3 + f**2 + 2*f - 1. What are the prime factors of i(p)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34146*u**3 + u**2 + 8817788*u - 2 wrt u?\nAnswer: 204876*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -15. Solve -p*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545781918?\nAnswer: 2, 19, 857, 78173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 - 7*j**3 + j**2 - 8*j**3 + 14*j**3 - j in the form y*j**2 + w*j + t*j**3 + m + i*j**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1005 and 15?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - 25002?\nAnswer: -24430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -109. Suppose -5*x + 15*x - 8390 = z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.76 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 16 + 10)*(-2*m**2 + 3*m**2 - 3*m**2).\nAnswer: -102*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.98736t to grams.\nAnswer: 7987360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (10 - 12) + 2*3. Suppose -p - 2*g - 20 = -5*g, -4*p - u*g = 0. Let l(m) = -m**2 + 1. What is l(p)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(-2)\/2 - (7 + -126) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149885 rounded to four dps?\nAnswer: 0.1499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:42 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 - 141. Let g = b - -50. Let y(i) = 146 - 276 - i**2 + 136. Determine y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/45, 4058, -2\/3?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59694 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 9*m**2 + 16. Suppose -100 + 325 = 25*w. Determine b(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - m + 18 = m, -3*u - 5*m = 33. Let x = 13 - u. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2878\/5 - 575. Let d be 8\/(-18) + 4\/18. Which is the second biggest value? (a) 0.2 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77045, 77057, 77069, 77081?\n\"Answer: 12*y + 77033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.88 - -0.42. Let g = a + 9.7. Let p = -12.4 + g. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27554 (base 15) to base 8.\nAnswer: -366177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 11*r + 5. Give c(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15)\/(-9) + -1)\/((-98)\/(-1643313)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2700084634 - 0.119.\nAnswer: 0.1510084634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 11*p - 525. Suppose 7*d - p = 2*d. Let u be (9\/(-1) + 3)*d\/(-9). Solve 12*q - 6 = u*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2780 + 2781. Calculate the highest common factor of t and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193731.2 and -0.5?\nAnswer: -96865.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 52584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u + 29 - 51 + 24 to the form x + b*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1286569 and -0.4.\nAnswer: -514627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*i - 3*r - 183, 2*i - 5*r = 77. Suppose -d = -4*s + 17 + 4, 5*d + 3*s = -i. Are -11 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*d + 127, 4*r + 8 = -d + 43. Suppose 2*n - 59 = d. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2614977 divided by 104?\nAnswer: -2614977\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let r(t) = -33*t**2 - 438*t - 404. What is r(i(h))?\nAnswer: -33*h**2 - 438*h - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 10241300?\nAnswer: -10241303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (64\/6 + 2)*(-3)\/(-2). What is the greatest common divisor of c and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*n**2*t**2 - n**2 - 2*n + 13*t**2 wrt n?\nAnswer: 36*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 5*x**2 - x - 5. Let h be b(-5). Solve -2*l = h, 5 - 20 = 3*p - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -101.058 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1. Let t(s) = 10*s + 37. Suppose -60*y + 58*y - 2 = 0. Let o(w) = y*t(w) - 5*i(w). What is the units digit of o(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 54 + 33*t - 28)*(-5*t + t + 2*t) - 3*t + 3*t - t**2.\nAnswer: -67*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 103456?\nAnswer: -31036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 + 69554*j**4 - 382650*j**3 + 313120*j**2 + 487016*j - 278304 = 0.\nAnswer: -17394, -1, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22210*c - 22380*c - 4518 - 8742 for c.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/9))**(-5\/6)\/(y**(-13)\/(y\/(y*y\/(y*y**(-9\/4))))))**32 assuming y is positive.\nAnswer: y**(8968\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7441003 nanometers to kilometers.\nAnswer: 0.0000000000007441003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4090, 4087, 4084?\n\"Answer: -3*b + 4093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*p**3 + 57*p**3 - 2*p**2 + 1480079 - 1490098 wrt p.\nAnswer: 354*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -49. Let b = 0 + r. Which is greater: b or -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -2*b + 15, 2*t - 10502 = -4*b - 10480 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722020548 to the power of 1\/2, to the nearest integer?\nAnswer: 41497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14329.557ns to hours.\nAnswer: 0.0000000039804325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13662417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -79 + 4. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 12*u**3 + 12*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 30. What is the smallest common multiple of r and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmgmmgg. What is prob of picking 3 m and 1 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:16 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -674 - -740. Let l be (x - 8\/1) + 0 + -5. Solve -l - 12 = 13*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -53) + (0 - -5) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l + 13. Let p be i(4). Solve 2*x - 7 + p = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4053528 divided by -8\nAnswer: 506691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**5\/x))**(-7\/5)*(x**(-12))**(-3\/16) assuming x is positive.\nAnswer: x**(129\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 72 = 10*v. Let o be (-9)\/(-6)*-1 - (1 - v). Let n = 2 - 1.9. Which is the nearest to 2\/3? (a) -3\/2 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/32)\/(-22*(-39)\/(-3432)))\/(37 - 14)?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = l - 5*x, 709 = 2*l - x + 715. Let a(c) be the third derivative of l*c + 0*c**3 - 5\/6*c**4 - 8*c**2 + 0. Let r(k) = k. What is r(a(n))?\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 5971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.2 - -8. Let c = 3 + -3.4. Let i = l - c. What is the second biggest value in i, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 2. Suppose -4*r + 5*f - 130 - 27 = 0, -5*f - 15 = 0. Let u = -40 - r. Which is the smallest value? (a) -2 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49785 = -g + h, -23*g + 99572 = -21*g - 3*h. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -31. Let b(r) = -528*r + 553. What is the remainder when b(1) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/((-2)\/4). Let f = 1161170 + -1161173. What is the closest to m in -0.4, 16, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/3465*135\/(-63)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -114, -5, -1\/2, -0.01 in ascending order.\nAnswer: -114, -5, -2, -1\/2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867146804 to the nearest integer?\nAnswer: 29447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 + 7*l - 5. Let s be n(5). Suppose 0 = -3*d + s*d + 2*k - 116, 3*k = 9. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*t - 252443*t**2 + 7*t**4 + 3 + 252442*t**2 + 32*t + (4*t**3 - 5*t**3 - t**3)*(-2*t + 2 - 2) to p*t**4 + a + s*t**2 + q*t + k*t**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 + -556 + 566 + 23.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/4)*f\/(f*f**(3\/8))*((f**(2\/5)\/f)\/f)\/(f\/f**(1\/3)))\/((f\/(f\/f**0)*f)**(9\/7)\/(f**(1\/2)*f\/((f*f\/(f*f\/(f**(-1\/2)\/f)))\/f)*f)) assuming f is positive.\nAnswer: f**(1951\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 8?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5.\nAnswer: -o**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 722995141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f + 4. Let s = f + 3. Suppose -80 = -3*u - s*u. What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 102025004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8871095 to the power of 1\/2, to the nearest integer?\nAnswer: 2978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -646132533420 and 0.02.\nAnswer: -646132533419.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2926 - 2929. Let r = 4.09 + -0.09. Which is the nearest to -0.1? (a) r (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-35)\/(-10))*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 15*z**2 + z + 20. Let x be s(-15). Suppose 3*l - 77 = -x*c - l, 3*c - 2*l = 33. Differentiate -10 - 2*v + c*v - 2*v wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34686181 times -0.03?\nAnswer: -1040585.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2638150 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4012, 32015, 108028, 256057, 500108, 864187, 1372300?\nAnswer: 2048453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 + 3. Let f = -20 - -12. Let y be b(f). Solve 6*v - 6 = -c + 3*v, -3 = -y*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 490*p + 488*p - 45, -7*m - 10*m + 4*p = -14*m - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -66*x - 129. Calculate k(-6).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1204, -1213, -1228, -1249, -1276, -1309?\n\"Answer: -3*t**2 - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = 0. Suppose -5*k + t + 95 = p, t = -k - k + 45. Is -3*(0 + k\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(3*sqrt(9)))\/sqrt(2).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8.959 times 0.6742\nAnswer: 6.0401578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.1 - 23.1. Which is the second smallest value? (a) 2\/27 (b) 2\/3 (c) -0.1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2745\/18 - (-2)\/4. Let r(n) = -k*n - 3*n**2 - 21*n**2 + 153*n. Let j(g) = -4*g. Calculate j(r(s)).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -315.\nAnswer: -315, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 - 4110*v**4 + 981946*v**3 + 1984422*v**2 - 981944*v - 1980312 = 0. What is v?\nAnswer: -2271, -2, -1, 1, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.8716 + 0.1284. What is the nearest to k in -1, 7, -2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 - 84*r**4 + 412*r**3 + 84*r**2 - 416*r = 0. What is r?\nAnswer: -1, 0, 1, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*112\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6, x: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + (-43)\/(-3). Suppose 265*u - 18 = 259*u. Solve -3*q + 1 = -u*w - q, 0 = 4*w + 5*q - a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -19*n + 42 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 8*k**2 + k + 1. Suppose 9 = -4*d - 15. Let y be a(d). Let j = y - 38. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/10070 and -21\/2120?\nAnswer: 40280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 33. What is the remainder when 75 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7859 + -7860.7808. What is d rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/18 and -43\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4719613?\nAnswer: 173, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-396)\/(-77))\/(-2))\/(99\/462)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**8\/672 + r**7\/420 + 15*r**2. Factor z(c).\nAnswer: c**4*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 407*a**2 + 143*a - 143. Let z(q) = -17*q**2 - 6*q + 6. Calculate 6*g(f) + 143*z(f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, k: 4, m: 6, j: 3, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + 278. What is the second derivative of -368*n**2 + t*n**2 - 109*n + 3*n wrt n?\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -133*t**3\/6 - 7*t**2 + 9*t. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1. Let d(q) = -2*q**3 - 9*q - 10. Determine d(z) + 6*v(z).\nAnswer: -2*z**3 - 9*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-176))\/((-189)\/(-462)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01023482641 and -17341.\nAnswer: -17340.98976517359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**3 + 0*z**3 - 8*z**2 + 3*z + 5*z**3 - z**3 + z**3 + 16. Give y(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263919 to the power of 1\/2, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (-1 + 11 + -5 + -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12901*v - 163745 = -335798 - 318185 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.328 - -1.672. Put n, 1, 11, 2\/11 in descending order.\nAnswer: 11, n, 1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 120 - 218 + 96. Let g(y) = y. Determine -2*g(s) + p(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-30)*(-6)\/4)\/(979\/(-29370)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2*(sqrt(85) + (-2*sqrt(85) - sqrt(85))) - (4*sqrt(85)*2 + sqrt(85))))\/(5*sqrt(80)*2*-6)*-2)**2.\nAnswer: 17\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715687 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 20, 2*o + 5*m = -4 - 20. Let y = -1 - o. Let n be -3 + 7200006\/3 + y. What is n rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -3, 5938, -35, 5 in increasing order.\nAnswer: -35, -4, -3, -1, 5, 5938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5 - 3*q**2 - 1 + 2*q + 3. Calculate the remainder when 20 is divided by u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -9*i + 28. Let w(s) = -2*s - 1. What is the least common multiple of i and w(-5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + x = -1 + 14, 0 = -5*p + 5*x - 5. Find the first derivative of 1 - p - 94*f**3 - 4 + 36*f**3 wrt f.\nAnswer: -174*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(3 - 1)\/(-2). Is -3 + x + (46 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-378)\/(-420) + (-2)\/(-20). Solve 59*r - 3*f = 57*r - 3, -y = -2*r - f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1636, -3274, -4912, -6550, -8188?\n\"Answer: -1638*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-245) - (-6)\/(-105)) + (-19)\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-18))\/2*6\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2190 and 18.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4886?\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {i: 1, x: 1, n: 5, e: 3, p: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 16 = l, 2*n + 1 = 2*l - 7 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14285523, -28571049, -42856575, -57142101?\nAnswer: -71427627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 944 = -19. Let x = y - 321. Sort -6, -3, x, 1.\nAnswer: -6, -3, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 11*l**2 - 22*l - 6. Let f(q) = 2*q**2 - 3*q - 470. Let s be f(16). Give a(s).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -586 <= -583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441780123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 216*t**3 - 2692*t**2 - 6048*t - 3136.\nAnswer: -4*(t - 28)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2896 + 2894.5. What is the second biggest value in n, 2, 0.22, -3?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a - 34. Let l be (-4)\/a + (-22)\/99. Suppose g - 6 - 4 = l. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 182 - -7?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/1064)\/((-3)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601178 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 2*g**4 + 8*g - 8*g - 10 - 9*g - g to the form m*g**2 + h*g**3 + c + t*g + o*g**4 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3631 (b) -0.06 (c) 0 (d) -0.5 (e) 0.4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4 - ((-26)\/(-8) - 2). Let m be -5*(d - (1 + -3)\/2). Let s = m - -11. What is the highest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298197224.4 rounded to the nearest 1000000?\nAnswer: 298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (53950\/(-286))\/25 - (1\/5)\/((-23)\/805)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 - 80*n**2\/3 - 154*n\/3 - 76\/3 = 0. What is n?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 237843045*k**2\/4 + 172425*k\/2 + 125\/4.\nAnswer: 5*(6897*k + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, b: 1, h: 1, z: 7, t: 1}. What is prob of sequence hzz?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 401 - 281. Let t = 119 - n. Which is the third smallest value? (a) t (b) -0.1 (c) 2 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -15 - 9. Suppose -t = -3*v - v. Let d be v - -1*1*-2. Solve 3*k - d - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**3 + 20*d + 78. Calculate the least common multiple of x(-3) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.5226 and -2.3?\nAnswer: 17.30198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/50)\/(9\/15). Let y(j) be the second derivative of j + v*j**4 + 0*j**2 + 0*j**3 + 0. Let r(x) = -2*x. Determine r(y(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-40)\/(340\/17))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20682*m + 20686*m = -76, -5*u + m + 462 - 101 = 0 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfnmgmmnmmnmmnnmm. Give prob of picking 1 m and 1 f.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 5*w**2 + 0*w**2)*(-w + 0*w + 0*w) + 3*w**3 - w**3 + 0*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 3*n + 6855 - 6800 to the form y*n + q and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 12*x - 10. Calculate y(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6212187\/11 + -564741. Let f be (0 - -1) + (4 - 2). Determine k, given that -16\/11 - z*k**4 - 118\/11*k**f + 8*k - 4*k**2 = 0.\nAnswer: -2, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.760361 litres in millilitres?\nAnswer: 4760.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043529?\nAnswer: 89, 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 14. Let l = y + -18. Suppose 9 = -5*t + l. What is the highest common factor of 44 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0)*210\/84 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 313 in 1\/3, -2, 1\/17, -799?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**3 - 37*k + 37*k.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -14.7. Let v = s - 14.599716. Round v to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5555*i**2*r**3 - 2*i**2*r**2 + 185*i**2 + 2*i*r**2 wrt r?\nAnswer: 33330*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 25. Suppose 0 = -5*m - 2*h + 23, 0 = 3*m - v*m + 3*h - 15. Let j(l) be the first derivative of l**3\/3 - l**2\/2 - l + 1. Calculate j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4561298 * 35\nAnswer: -159645430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37 - 179?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336783, -673558, -1010333?\nAnswer: -1347108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -175 - -162 - (-2 - -9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 1}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127871998 is divided by 397118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14\/5 (b) -1.73731 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12894.86 rounded to the nearest 100?\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 3. Suppose -o = -u*o + 4. Solve -16 = -2*b - o*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 8\/2027?\nAnswer: 8\/2027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y)**(2\/3)\/((y**(2\/7)\/y*y)\/y)**(-16\/3))**(2\/13) assuming y is positive.\nAnswer: y**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-177 + 88 - 29)*(10 - 46*n - 16 + 6 - 306*n) in the form o*n + z and give o.\nAnswer: 41536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117) - sqrt(117))*-6 - sqrt(117))\/(sqrt(9) - sqrt(324)*-1 - sqrt(9)).\nAnswer: 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5899205 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325112.\nAnswer: 2, 3, 55213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 40. Calculate f(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let s(h) = h - 1. Let b(r) = 4*l(r) - 7*s(r). Calculate b(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -114.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 1, r: 4}. What is prob of picking 1 n and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3 - 836*x**2 - 47200*x - 360000 = 0.\nAnswer: -100, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - 8. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l\/((l*l**(1\/9))\/l)*l))**(5\/6)\/(l**20\/(l\/(l*l**(-18)))))**(2\/23) assuming l is positive.\nAnswer: l**(-238\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 - 236. Calculate the common denominator of 5\/20 - (7774\/(-264))\/d and -85\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -518*p*u**3 - 14402*p*u**2 - 17*u**3 wrt u.\nAnswer: -3108*p - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - c**2 + 0*c**2 - 4*c**2 + 0*c**2 + 3*c**2 + (65*c - 6*c - 7*c)*(3*c - 7*c + 3*c).\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4080\/432 + (-266)\/28)*4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 2. Let o(r) = r + r**2 + 6*r**2 - 13153*r**3 + 3 + 13154*r**3. Let w = 5 - 12. Let p be o(w). Determine m(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -64, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 44 = -4*x + 264, -3*j - 100*x = -113*x + 1026 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1202748 and 876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 13, 40, 77?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125918 and 8352?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*g - 10*g + 9*g)*(-71*g + 40*g + 235 + 33*g) to r*g**2 + c*g + y and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -0.05, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnynnnnynnynnnnnn. What is prob of sequence nyyn?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*z - 72275 - 16994 - 111659. List the prime factors of z.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**36 assuming w is positive.\nAnswer: w**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 50, 67, 108, 179?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + p)*(1 - 1 - 5)*(-p + p + 2*p**2).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - 0) + 13 + ((-812)\/(-2842) - 130\/14).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 173593 and 1215151.\nAnswer: 1215151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/3*(-1)\/(-2). Suppose j*o + 18 = o. Suppose g - 7 - o = 0. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iia when three letters picked without replacement from {a: 4, i: 2, u: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 793 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 13*l + 7. Determine t(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -930530*z**3 - 835064*z wrt z.\nAnswer: -5583180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*g = 9, i - 5*g + 13 = 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4536 and 462909384?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 4, -163 = -3*k + 4*a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 719 - 376. Suppose -k = -4*t - 3*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*j + 88, -3*v + 110 + 18 = 5*j. What is the greatest common factor of v and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + -2 - (-2 - (1 + 0)). Let a(g) = -g**3 - 4*g**2 + 13*g + 13. Is a(o) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.36273 litres in millilitres?\nAnswer: 89362.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 4*d**2 - 4*d + 1. Calculate j(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -104, -208, -350, -542, -796, -1124, -1538?\n\"Answer: -2*b**3 - b**2 - 61*b + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from ssssbsbswwsss.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7941 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68187582 divided by -32751.\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - 2*r + j, 3*r - 6 = -j. Suppose 4*c - 23 = -r. Solve c*t - 4*k + 10 = 0, 2*k + 0 = -t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110793665993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m = 30. Suppose 0 = -3*x + m. Sort x, 0, 4 in ascending order.\nAnswer: 0, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-1) - (0 + 2). Let n = -1 + x. Let c(w) be the third derivative of -7*w**5\/60 + w**4\/24 - w**3\/6 - 5*w**2. Determine c(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - o + 74, -6*x - 11*x + o = -30*x - 32*x - 3422 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 8) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003 is divided by 519.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -101368 divided by -616\nAnswer: 12671\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (300\/(-24) + 13)*1\/(-4). Let v be 15\/(-35) - (164\/(-252))\/1. Which is the third smallest value? (a) v (b) -2 (c) o (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -11.1.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 365. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 55, 120, 211?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61617319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 - 3*u. Let h(f) = -8*f**2 - 4*f - 609. What is 2*d(j) - h(j)?\nAnswer: 2*j**2 - 2*j + 609","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*v**2 + 2*s**2*v*w - 1804*s**2 + 5*s*v**2 + 6*s*v*w - 21*v**2 wrt s.\nAnswer: -4*v**2 + 4*v*w - 3608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2\/c**(-2\/23)*(c**(-4)\/c)\/(c\/c**3)*(c*c**(3\/2)\/c)\/(c*c**(1\/3))*c\/c**1*c**0 assuming c is positive.\nAnswer: c**(-103\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/565705 - -15193259\/22062495. Let h = 7828\/91 - 86. Let x = h - l. Is 1\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = 115. Solve z + r = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/735955 - -6623599\/1471910. Solve 12 - t*s + 3\/8*s**2 = 0.\nAnswer: 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from zscuccbezcsseec.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*8*((-195)\/10)\/(-13). Let z be (6\/5)\/(-2 - o\/15). Let d be (-2)\/1 + (0 - -2). Solve b = 3*g - 4, d = -3*b + 2*g + z*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(2\/15*615\/574).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22\/3 - 41\/6. Solve -2*o**2 + 0 - s*o = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(45\/(-10)) - (0 - 0). Suppose 5*u - 4*j = -3, -2*j = -2 - c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 3*l + 2. Let g(z) = -3*z**2 + 4*z + 1. Let j(y) = 4*y**2 - 5*y - 2. Let q(p) = 3*g(p) + 2*j(p). Calculate 7*q(i) + 4*s(i).\nAnswer: 5*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 8*b + 4. Let l(z) = -z**2 - 24*z - 40. What is the least common multiple of g(8) and l(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 0, -0.127, -20?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 355936 by 454.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let b(h) be the first derivative of 0*h**2 + 11 + 0*h - 13\/3*h**3. What is m(b(x))?\nAnswer: 169*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 + 15 = 0, 0 = t + 5*q - 20. Let z = -24 - -29. Solve -2*x = -0*x + 3*w, z*w = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1133.307 - -1133. Sort 0.2, -4, c in increasing order.\nAnswer: -4, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 + -55. Suppose -c - 7 = -4*r. Suppose -r*h - g = -27, -4*h + 30 + 0 = 2*g. Solve h - 3 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3\/8, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*c + 5570 - 1286 = 239*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-48)\/20)\/3*5. Sort t, 4, 5.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1886)\/104 + -27*20\/(-30))*2\/14.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 17 + 9 + 45*j)*(-1 - 5 + 2)*(-6 + 5 + 3)*(3 - 4*j - 3).\nAnswer: 1440*j**2 - 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 + 0.24.\nAnswer: 128.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -1761359 in decreasing order.\nAnswer: 5, 1, -1761359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose m = 3*u + 2*u - 110. Calculate the remainder when (-1)\/4 - 2570\/(-40) is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9367620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + 3. Suppose 0 = h - 15 + k. Suppose 0*s = -b - 4*s + h, 15 = 3*s. Let g(w) = 13*w - 15. Let x(z) = -7*z + 8. Determine b*g(l) - 11*x(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -10*i + 1\/3*i**3 + 0*i**2 + 0. Let h(s) = s + 3 - 3. Determine q(h(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*18\/3. Let u = r + 1. Let x = 422 - 420. Solve -2*j + u - x = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70430628?\nAnswer: 2, 3, 47, 151, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1064*l**4 - 162*l*r**2 - 31049*r**2 + 2*r - 7 wrt l.\nAnswer: 4256*l**3 - 162*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*o = d, 3*d - 4 = o. Suppose i + 2*i - 4*r - 21 = 0, -d*i = -4*r - 18. Solve -i*x = 3*u, -6*x + 3*x = u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a factor of 416738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77173297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(20) - sqrt(20)))*6 + 3*(sqrt(5) - 2*sqrt(5)) + (sqrt(320) + 1)**2.\nAnswer: -23*sqrt(5) + 333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*z - 29, 5*z + 24 = 4*t - 8. Suppose -4*l - t + 45 = 0. Let n be (0 - (-4)\/l)*8. Solve -m + n = 2*c + 2*m, 3*m = 2*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*l**2 + 639*l**2 - 163*l**2.\nAnswer: 1128*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 479 + 130*s**3 + 231*s**3 - 123*s**3 + 128*s**3 wrt s?\nAnswer: 1098*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 2*j**4 - 3*j**2)*(-2*j + 2 - 2) + 7*j**2 - 7*j**2 - 4*j**5 - 5*j**5 + 4*j**5 + 0*j**5 + (3*j**3 - 6*j**3 + j**3)*(-2*j**2 - j**2 + 2*j**2).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.72 - 6.848. Let x = 0.128 + j. Put -7\/5, x, 4, 2\/9 in increasing order.\nAnswer: x, -7\/5, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - -12) + 1*257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181513329.9873 less than 1?\nAnswer: 181513330.9873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-1)\/(-2) + 2. Suppose -i + 9 = 2*n. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)*(f*f\/f**(-4\/3)*f)\/f*f*(f\/((f**(-3\/20)*f)\/f))\/f*f\/(f\/f**(-27)) assuming f is positive.\nAnswer: f**(-9577\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07 and -8754?\nAnswer: 8753.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/52*(-24)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41901874823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2749 and 0.4.\nAnswer: -1099.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*f - 108 = 25, 4*w + f - 113 = 0. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2148 - -2150. What is the closest to v in -0.5, 2\/3, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66887540 a multiple of 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217260183 to the power of 1\/4, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 a factor of 134468824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216693 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6470088 and 6816?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33416, -33390, -33364, -33338?\nAnswer: -33312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59329, 118693, 178101, 237553, 297049, 356589?\n\"Answer: 22*s**2 + 59298*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 5*d**2 + 8*d - 9. Let n be z(6). Suppose -n*w - 2*w = 5. Let h be w*3 - 10\/(-2). 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 m = -9 - -11. Let z be m*((-15)\/(-2))\/3. Solve -o - z = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-2))\/(o*(((o\/o**8)\/o)\/o)\/o))\/((o*((o\/(o**(-2\/3)\/o))\/o)\/o*o)\/o**(5\/6)) assuming o is positive.\nAnswer: o**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -662003706.\nAnswer: -662003705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + 19 + -172 - -17?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/3 + 10*t**4\/3 + 6*t**3 + 14*t**2\/3 + 4*t\/3.\nAnswer: 2*t*(t + 1)**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -25*(4\/(-10) - 0). Suppose -5*j + 10 = -k. Suppose 3*f = j*i - 34, -i - 3*f = -6*i + 44. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let l = -291.97 + 163.84. Let g = l - -128. Is g bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15))\/((-12)\/30). Let g(d) = 5*d - 2. Let j(r) = -r + 5 - 5. Give y*g(c) + 4*j(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28e8 (base 16) in base 14?\nAnswer: -3b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v + 2. Suppose -2*d - d = 3. Let b(t) = -t + 1. Let x(y) = d*n(y) + 2*b(y). Let i(r) = -14*r. Determine i(x(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88282 is divided by 238.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bb - 0?\nAnswer: 1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 7*v**2 + 4*v - 10. Let w be l(-5). Let b = w + -13. Suppose -b*i = -2*i - 370. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-360)*6\/2*8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - 1 - (19 + -1661)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**6 - 615*f**5 + 2*f**4 + 2*f**2 - 1143*f + 88 wrt f?\nAnswer: 600*f**3 - 36900*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 2896*a\/3 + 297366.\nAnswer: -2*(a - 261)*(a + 1709)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 517793 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 3210*k + 557182. Calculate v(198).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 659014 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, z: 4, e: 3}. Give prob of picking 3 z and 1 e.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4, -13 = l - 3*a + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 - 16*t - 13. Calculate the remainder when 607 is divided by l(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 5*n - 14.\nAnswer: (n - 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*a + 94, -2*j = 2*a - 4*a + 28. Calculate the smallest common multiple of a and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19639.6 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.604702 years in millennia?\nAnswer: 0.007604702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -22 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11347, -11150, -10953, -10756, -10559, -10362?\n\"Answer: 197*z - 11544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhuuddh. Give prob of picking 3 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 12:06 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1445, -1022, -599, -176, 247?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -721 (b) -4 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1 + 9*a + 2*a - 12*a**3 + 0*a**2 - 12*a - a**2. What is i(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -5*l - 10, -35318*l - w - 10 = -35315*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111.3 - -111. Which is the closest to 3\/5? (a) p (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 22. Let n be u(-7). Let r = 27 - n. Let d be 104\/(-18) + r\/72. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 4*z + 2. Let y be x(4). Suppose 123 = y*o - 231. Let c = 254 - o. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250863456 divided by -29116\nAnswer: 8616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (0 - -6))*33\/(-55)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21595, 60, -26 in decreasing order.\nAnswer: 60, -5, -26, -21595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40.057542 - 0.057542. Suppose -2*t = -7*t. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/42*(4 + (12 - 18)). Which is the closest to t? (a) 7 (b) 3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141901289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (62 - 0) + (-44)\/22. Calculate the least common multiple of i*(0 + (-6)\/(-15) + 0) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -195, -251, -295, -321, -323, -295, -231?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*((-2205)\/42)\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 99*u - 104*u - 100, 3*u = -h + 10. Let b be (h\/(-3) - -7)*(-3)\/4. Solve b = -3*w + t + 17, 24 = 3*w - 3*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*m + 2 + 25335589*m**2 - 48*m - 25335588*m**2.\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13048?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5896 = 2964*j - 5061 - 899 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 51. Let a = q + 2. Calculate the greatest common divisor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*h + h - 2*f, -3*h + 5*f = -65. Let m = h - 18. Which is the closest to -0.1? (a) 5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117171 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 578, 1148, 1714, 2276, 2834, 3388?\n\"Answer: -2*s**2 + 576*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:27 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, q: 4, u: 2, f: 9}. What is prob of sequence qfqq?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1011120121110?\nAnswer: -1011120121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 146 = -2*v. Let n = 71 - v. Suppose n*y + 3*y = 14166. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 54*h**5 + 46*h**2 - 14186*h. Let i(z) = -376*z**5 - 323*z**2 + 99300*z. Let f(q) = 4*i(q) + 27*j(q). What is the second derivative of f(l) wrt l?\nAnswer: -920*l**3 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w + 0*w + 2*w - w - 3*w + 3*w - 4*w + 3*w - 3*w + 5*w - w + (-2 + 0 + 3)*(3 - 3 + w) - 1 + 3*w + 1)*(3 - w**2 - 3).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 11:02 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(75) + sqrt(75) + 3)*-6 + sqrt(75) - sqrt(75)) + -5*sqrt(75)*4)**2.\nAnswer: 5120*sqrt(3) + 77056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710.66 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(6\/7)*h*h*h**(-5\/7)\/h*h**(1\/2)\/(h*h*h\/(h**12\/h)) assuming h is positive.\nAnswer: h**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}