diff --git "a/data/dm_maths/full_data_1/1648_11255.jsonl" "b/data/dm_maths/full_data_1/1648_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1648_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 13447306461372 minus 0.5?\nAnswer: 13447306461371.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4131 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 5:33 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 0.4, 0.7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/3 + 13*v**2\/2 - 76*v. Let m(h) = h**2 + 0*h**2 - h**2 + 2*h**2. What is z(m(d))?\nAnswer: -4*d**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*t + 4*b, 0*t - 3*t + 2*b = 7. Let w = -230\/31 + 1517\/217. What is the fourth smallest value in -2, w, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*o + 20, -2*o - 26 = x + 3*x. Let a = x + 20. What is the remainder when 6\/27 - 374\/(-18) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**3\/6 + 17*m + 2. Let d(g) = -10*g + 4. Calculate d(u(b)).\nAnswer: 10*b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -77, -156, -235, -314, -393?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {x: 1, i: 1, t: 6, g: 5, l: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 1836?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3)*(a - 3 + 3)*(-20*a**3 - 39130 - 355*a**3 + 39130).\nAnswer: 1875*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -143, -445, -1035, -2009, -3463?\nAnswer: -5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -5*t**4\/12 + 7*t**3\/2 - 439*t**2. Calculate x(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/480 + 19*w**5\/240 + 21*w**4\/16 - 6*w**3 + 16*w**2 + 4. Find t, given that x(t) = 0.\nAnswer: -6, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203002333 (base 4) in base 6?\nAnswer: 3024331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - z - 3. Let b be n(-2). What is the units digit of 20*(b\/(-2) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-4))\/(0 - (-4 - -2)). What are the prime factors of (-315)\/g + (5\/2)\/(-5)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 6*b**2 - 4*b - 2. Calculate f(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80473 > 80473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3 = -23. Solve -u*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5526 or -5522?\nAnswer: -5526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1668\/7 + -238. Find t, given that 0 + 2\/7*t**5 + 4\/7*t**4 - 4\/7*t**2 + 0*t**3 - r*t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 323, 635, 947, 1259, 1571, 1883?\n\"Answer: 312*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 2, 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 42*i + 238. Which is smaller: i or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**3)**(-19\/3) assuming f is positive.\nAnswer: f**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -17671 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**5\/5 + 15*o**4\/4 - 21*o**3 + 49*o**2\/2 - 82. Suppose q(a) = 0. What is a?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = 4*p, -3*r + 2*r = -p + 4. Let a be 2\/p*4*1. What is the smallest common multiple of 165\/(-10)*a\/6 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 7 + -12 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 1655.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1504 and 447816.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5940)\/(-372) - 11) + (37 - 42).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -251.30709?\nAnswer: -251.30709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -54, -5.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**4 + 12*t**4 - 20*t**4 + (2 - t - 2)*(3*t**3 - 2*t**3 + t**3) to the form j*t**4 + a*t**3 + m + i*t**2 + b*t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*f + (0*f - 3*f + 6*f)*(-6 + 3 + 2) + 4*f - 3*f - 4*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -608 - 4?\nAnswer: -60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:01 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) -1\/3 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858970*-0.2.\nAnswer: 171794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2835488)\/512 - (-2)\/32. Which is greater: -5537 or f?\nAnswer: -5537","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6569 + -2\nAnswer: 6567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 + 33 = 3*c, -5*f - 3*c + 73 = 0. Suppose -f = -5*m + 18. Suppose -2*i - 105 = -m*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013907905 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5038065 divided by -1.\nAnswer: -5038065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46393740 and 1382.\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*d - 37, -2*w + d = -49 - 0. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, p: 5}. Give prob of sequence phph.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.037 + 0.163. Let x be 4\/14 - (-6)\/28. Suppose 5*t + 14 = -5*m + m, -4*m = -3*t - 2. Which is the nearest to x? (a) t (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(95)*2 + -1*sqrt(95)*4)\/((sqrt(405) - (sqrt(405) - (sqrt(405)*2 + sqrt(405))) - sqrt(405)) + sqrt(40)\/(sqrt(8) - (sqrt(8) + sqrt(128)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82.3 and 2695941.42386.\nAnswer: 2695859.12386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and -1013885?\nAnswer: 1013907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyyyaqqnnnqnannaqq. Give prob of picking 2 n.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 71 - -25?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvveevev. What is prob of picking 1 e and 3 v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 6*b. Let a(f) = -f**2 + f. Let w = 55 - 57. Let u be -4 + ((-1)\/w)\/((-4)\/(-24)). Calculate u*k(d) + 6*a(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49164264 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-480 - 43 - 258)*(1 - 7*n**2 + 3*n**2 + 6*n**2).\nAnswer: -1562*n**2 - 781","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 61 = -121. What is the remainder when 205 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2985.6 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -3*d - 21*a - 390, 4*d + 5*a = -558. Let h be 6\/(-21) - (-2942)\/7. Let r = h + d. Does 36 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 5. Let c(i) be the first derivative of i**4\/24 + i**3 - i**2 - 10*i + 92. Let t(q) be the second derivative of c(q). Determine -5*t(o) + 6*z(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2\/29 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791284.9 months in centuries?\nAnswer: 2326.07075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 55 + 7 = 0. Let r = 225 - 151. Suppose 3*y = h - 40, -2*h + 6*y = 3*y - r. What is the remainder when h is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 474\/883 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 65*i + 224. Calculate x(9).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 64717. Let g(i) = -38*i. Calculate y(g(t)).\nAnswer: 2888*t**2 - 64717","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6073012?\nAnswer: -1\/3036506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117179, -117148, -117145, -117176, -117247, -117364, -117533, -117760?\nAnswer: -118051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 263515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 7.3. Let v = 1.47 + p. Let o = -1.77 + v. Which is the nearest to -4? (a) o (b) 1\/8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 5*b + 4, 0 = -f - b + 18. Suppose 0 = -10*k + f*k - 36. Let t(q) = -q + 1. Let m be t(-5). Calculate the highest common factor of m and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 68*m - 142. Let k be t(-2). Solve -8 = -2*o - k*i, -2*i + 5 + 3 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 37.6217646.\nAnswer: 37.6217646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6102347, 6102360, 6102369, 6102374, 6102375, 6102372, 6102365?\n\"Answer: -2*a**2 + 19*a + 6102330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 + 75*x - 165. Give j(10).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than 238\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6183*w - 4*w**3 + 2 - 6330*w to the form o + y*w**2 + f*w**3 + l*w and give l.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15113 and 1190?\nAnswer: 151130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**2 - 106*w**2 - 92*w**2 + 295*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/210 - ((-10)\/(-7))\/(-5))*(-2080)\/1872\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -950.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 50*w + 49.\nAnswer: (w - 49)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n**31*n*n*n)\/n)\/n)\/n**31 assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5)*108*3675\/222264.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38475 divided by -95?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.284 + 0.016. What is the second smallest value in v, 0.2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:48 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247280?\nAnswer: 2, 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.78 - 1.21. Let q = -4.99 + a. What is q rounded to 1 dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.0152, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17203860 and 2970.\nAnswer: 189242460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -1845, -4113, -7279, -11337, -16281, -22105, -28803?\nAnswer: -36369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1589282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/20 - 31\/180. Put -2\/3, b, -2 in ascending order.\nAnswer: -2, -2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -5, -2, 16, -4 in ascending order.\nAnswer: -238, -5, -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -638, -2723, -6500, -12221, -20138, -30503, -43568, -59585?\n\"Answer: -42*w**3 - 594*w**2 - 9*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8282 - 8281.5. Which is the closest to i? (a) 0.02 (b) -1\/10 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**4\/4 + 20*p**3\/3 - 15*p**2\/2 + 7. Determine w, given that b(w) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1755, 5367, 11339, 19671, 30363, 43415, 58827?\n\"Answer: 1180*q**2 + 72*q + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 13*z - 8*z - 829, -2*z = 4*d - 1082. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1096*l**2 - 17*l - 46. What are the prime factors of d(4)?\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9723 or -7311?\nAnswer: -9723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008144374897 rounded to 7 decimal places?\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/z**(-4))\/z)*z)\/z)\/(z*z**(-1\/3)))\/((z\/z**(-7))\/z**(2\/13)) assuming z is positive.\nAnswer: z**(-449\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -523 or -524?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4278976 and 81\/57824?\nAnswer: 4278976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -3 - -41)*(26 + -11). Let v = -5936\/9 + x. Solve 2*y**4 - v*y + 0 + 14\/9*y**5 - 2*y**2 - 10\/9*y**3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = -4. Let d(b) = 2 - v + 2*b. What is d(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*y**3 + 36*y**3 + 99*y**3 + 120*y**3.\nAnswer: -135*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five quarters of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 165 = 147 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.1611 + 0.2431. Let i = u + 2.9. Round i to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2247371*y**4 - 3780*y**2 - 50*y wrt y.\nAnswer: 53936904*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5687, -5676, -5651, -5606, -5535?\n\"Answer: a**3 + a**2 + a - 5690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.2 - 33. Which is the fourth biggest value? (a) x (b) -1 (c) 2 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12845)\/(-3670)*16\/(-7)*(-6)\/(-2)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007459928 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:20 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t - 2*t)*(5 + 6*t - 5) - 18*t**2 - 950*t**2 - 174*t**2.\nAnswer: -1136*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -105 (b) -131 (c) 28 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1359, -5\/21, -2 in ascending order.\nAnswer: -2, -5\/21, -2\/1359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 41 = 15*b - 126 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 0)*-2)**2*2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41219\/10 + -4128. What is the common denominator of q and 127\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 119, 254, 459, 716, 1007, 1314?\n\"Answer: -3*b**3 + 53*b**2 - 3*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = t - 6*t + 2*r, -24 = -4*t + 4*r. Suppose -t*n + 240 = 6*n. Let d = -7 + 19. Calculate the greatest common factor of n and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (176\/(-528))\/((-2)\/(-60))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 - 3*p + 2. Let r(j) = j**2 + 5*j + 2. Let b be r(-5). List the prime factors of v(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4686, -9512, -14338, -19164?\nAnswer: -23990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z*(z*z\/(z**(-21)\/z))\/z)\/z*z*z)\/z)*z**(2\/9))\/(z**0*z)**37 assuming z is positive.\nAnswer: z**(-538\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g + 91 + 209 + 213 = 0 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18934\/24 - 20\/30. Let m = n - 792. Let q = m + 211\/20. What is the common denominator of q and -57\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 13, 55, 133, 259?\n\"Answer: 2*t**3 + 4*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 + (-18)\/(-16). Let o = -13 + 15. Which is the third smallest value? (a) 0.3 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*b = -4*b - 4, 0 = w + b - 2. Suppose -4*y - 2*f + w = -12, -3*y + 6 = 3*f. Let v = -1.9 + -1.1. Sort v, -0.4, y.\nAnswer: v, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.047 - -0.0470046. Round s to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 19124.\nAnswer: 3\/19124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -16235.\nAnswer: -22\/16235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 18 = -68*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4110 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186900 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (13 - 2)) + 11 + 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71478511*n - 71478511*n + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3\/(-9)*4\/((-40)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbmkvbmbyymmvbbyybvm. What is prob of picking 2 v and 2 m?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -974 less than 0.2?\nAnswer: 974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/15)\/6)\/((-52)\/(-130))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(402\/(-45)). Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-20\/9)\/l**(2\/19) assuming l is positive.\nAnswer: l**(-398\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33573 - 18406. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1040 + 2128. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -20*n + 27. Let h be t(7). Let m = h + 85. Suppose s - 84 = 4*s. Is m != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/14847, 0.4, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32332, -32333, -32334?\nAnswer: -32335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxnnguxn. Give prob of picking 2 n, 1 x, and 1 g.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p - 93. Let z be t(-8). Suppose 4*g + 5 = 3*v - 6*v, 5*v + 4*g = -z. Sort -22, v, 4 in decreasing order.\nAnswer: 4, v, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -5*m + 32, -2*m = -5*m - u + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-118)\/(-38) + 1. What is the closest to 3\/7 in 1, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = -14. Let x = 1 - m. Let c(w) = -w**3 + 7*w**2 - 3*w + 2. Let u be c(x). Solve 0 = 4*p + u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20226, 20226, 20224, 20220, 20214, 20206, 20196?\nAnswer: 20184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 3930*o + o**3 + 3*o**3 + 3930*o.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011430424 - -2?\nAnswer: 1011430431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20039130*d + 40078229*d - 20039128*d.\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1\/3, 3\/10, 2 in decreasing order.\nAnswer: 2, 4\/5, 3\/10, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519661, 519686, 519711, 519736, 519761?\nAnswer: 519786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-38)\/7)\/2. Let c be (-10)\/3*(-3)\/2. Is c less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4319 + -4320. Which is the third smallest value? (a) -76 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68298 divided by -22766.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3991 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626366 divided by 7?\nAnswer: 1232338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2866.9 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 7:24 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148726709.\nAnswer: 148726709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*y + 18 - 11 - 17 - 44*y - 12 as u + k*y and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 10 = 15*j - 4*u, j + 3*u = 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Let t = -124 + 126. Which is the nearest to t? (a) 0.2 (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35156, -35147, -35136, -35123?\n\"Answer: j**2 + 6*j - 35163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28735 and 11494.\nAnswer: 57470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1990597 + 5.\nAnswer: 4.8009403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3178*m**2 + 2971*m - 7324. Find the first derivative of c(k) wrt k.\nAnswer: -6356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16029.676 and 10.213679.\nAnswer: 16039.889679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3368, 6743, 10174, 13691, 17324, 21103, 25058, 29219?\n\"Answer: 5*z**3 - 2*z**2 + 3346*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -755 + 1030. Calculate the remainder when s is divided by 129.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 - 0.233. Let u = 0.11 + j. Let a = -1 - -1. What is the third smallest value in a, u, -2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2163*z**2 + 15*z + 23. Let t = 285 + -288. Is r(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.187444274 to 3 decimal places.\nAnswer: 3.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 8*i**2 + 10*i - 13. Let o be l(9). Suppose -3*t + 1 = -17. Let m = o + t. Let r(x) = 2*x**3 - 3*x**2 + 3*x - 1. What is r(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(99*w - 206*w + 98*w) + 2*w + 0*w + w - 4*w + 6*w - 4*w + 2*w - 2*w + 2*w + (2 - 2 - 1)*(-w - w + 4*w) - w - 5 + 5.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*s + 2*l, -5*s - l = -21 - 135. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842546536 a multiple of 2776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-143)*(-3)\/(-12)*11)\/((-70)\/(-84))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/175 - (8189\/(-45) + 1). Let a = 181 - z. Let y = -9\/26 + -2\/13. What is the closest to 2\/11 in -0.1, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4162920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/53934 and 87\/41924696.\nAnswer: 125774088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*r + r + 2 = 0, -4*q - 23 = -3*r. Let c(d) = -d**3 - 5*d**2 + 2. Is c(q) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145, 35, -149, -407, -739, -1145?\n\"Answer: -37*u**2 + u + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5\/15 - -4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -5*m**4\/6 - m**2. Let i(q) be the third derivative of 0 - 33*q**2 + 1\/24*q**4 + 0*q**3 + 0*q. Determine n(i(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 32 = 7. Suppose 5*w - 3*k = k + 105, -4*w = u*k - 43. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4759.9 + 4760. Is -19.132 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -220*f + 2. Let o(s) be the third derivative of -s**4\/3 + 4*s**2 + 1060. Give z(o(y)).\nAnswer: 1760*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/16)\/(103\/17922)*(-16)\/(-6). Solve -57*h + u*h = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-17))\/((j\/((j**(-13\/5)\/j)\/j*j*j*j))\/j) assuming j is positive.\nAnswer: j**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.8. Let f = -2.04 - -1.54. Which is the nearest to o? (a) 1\/11 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + 14. Let u be n(0). Suppose u = k + 5*x, 5*k = 4*x + 17 + 24. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/116)\/((-1)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let n(x) = -554*x. Give n(u(d)).\nAnswer: 1108*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 95 = 131. Suppose 0 = 3*y - d - 0*d + 12, 4*y - 4*d + 24 = 0. What is the closest to -0.1 in -0.5, n, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 242313?\nAnswer: 242311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 1, y: 6}. What is prob of picking 1 z, 1 u, and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33.10523 litres?\nAnswer: 33105.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11157827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orgogza. Give prob of sequence zoa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10*o = -20. Suppose -o*v - 5*f = -3, 2*v + 4*f = -2*v + 4. Suppose v*w - 5*w + 6 = 0. Solve -w*r + 16 = 3*b, 0*b - 10 = -4*b + 3*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/12*9\/4. Put -3, u, 1\/5 in ascending order.\nAnswer: u, -3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*m - 2*m + 5*m)*(12*m**2 + 0 + 0 - 9*m**2) to p*m**2 + f*m + r + u*m**3 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 92*s\/3 - 1058\/3.\nAnswer: -2*(s + 23)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**3\/6 - 3*l**2 + l - 2. Let u(z) be the first derivative of g(z). List the prime factors of u(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173 - -885. Suppose -i*j + 703*j = 63000. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdoccood. What is prob of sequence cdd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2626 (base 12) to base 11\nAnswer: 32a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*y**2 + 218*y**2 - 356*y**2 + 86*y)*(4*y**2 + 0*y**2 - 3*y**2).\nAnswer: 4*y**4 + 86*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 7. Let f be v(9). Let o(x) = x**3 + 2*x**2 - 3*x + 1. Let r be o(-3). Suppose 3*i + r = -5*d, -d - 17 - 4 = -f*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281194 is divided by 27363.\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34960 is divided by 328.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**5\/10 - 11*q**4\/4 - 13*q**3\/6 + 55*q**2\/2 - 1743*q. Calculate p(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1221 + 39 = 12*o. What is the least common multiple of 21 and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(2\/31)\/n))\/n)\/(n**(2\/71)*n))**(4\/21))**(8\/5) assuming n is positive.\nAnswer: n**(-15392\/46221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 2. Let x be n(-5). Let w = -75 - -79. Suppose -4*b = -0*b - 2*z - 10, 4*b - w = -4*z. Solve -x*s = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12704 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 826*h - 439*h - 389*h. Let m(x) = 26*x**2 + 7. What is u(m(r))?\nAnswer: -52*r**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(-160580)\/4340\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s + 4. Let m be a(-2). Let o = -22 + m. Calculate the highest common factor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953.2388 rounded to the nearest 10?\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3485836 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**3\/11 + 996*l**2\/11 - 29406*l\/11 + 28416\/11 = 0 for l.\nAnswer: 1, 37, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 5 + 2*j**3 - 6 - j**2 to c + n*j**2 + d*j + p*j**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(180))\/(sqrt(196) - sqrt(196)*2)*-4.\nAnswer: 12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127800 and 3240.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27018.\nAnswer: 2, 3, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/6 and -119\/119808.\nAnswer: 119808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j**(-2)*j)*j)*j)**2\/(j**3\/j**(-9)))**12 assuming j is positive.\nAnswer: j**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163128 (base 9) to base 12.\nAnswer: 4a345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109039 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2085*m + 5 - 8 - 1629*m + 226*m**2 + 11.\nAnswer: 2*(m + 2)*(113*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*t - 1332 = 852*t - 1972*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 7*k. Let m be c(7). Suppose 0 = 3*y - 2*y - 7. Suppose -3*u + y*u - 2*a - 184 = m, -5*u = -4*a - 227. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcwxcxcxcccnwcjcx. What is prob of sequence nw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 12 (b) -480 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57\/7*(-169)\/((-12168)\/(-672))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 12*u + 13. Let w be a(11). Let o(f) be the first derivative of -1\/12*f**3 + 0*f**w + 0*f - 2. Let o(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3657 - -1389. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 304 + a + 301.\nAnswer: 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 15*u**2 + u + 18. Give d(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 17, 281, 979, 2297, 4421?\nAnswer: 7537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4063 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 5*n**7\/7 - 14*n**3\/3 - 3. What is the third derivative of b(o) wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/30*20\/16\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 9*d + 118 = 5*g, g + 119 = 4*d. What is the remainder when 89 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86068349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96 - ((-8)\/28 - 4\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, -3, -44\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -136316700 divided by -450\nAnswer: 302926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 2. Let h(g) = -g**2 + 7*g - 6. Let m be h(6). Suppose -5*d = -m*d - 5, j + 3*d = -6. Let q(k) = -k**3 + 9*k - 9. What is j*r(w) - 2*q(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -29. Suppose -4*f + f - 75 = 0. Let o = f - -151\/6. Which is the closest to h? (a) 0.3 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 26 + 0 + (26 - 25)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 - (31 - 87) - (0 - 13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*u + 136 + 182 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/(r\/(r\/(r*r\/(r\/r**(2\/13))))))\/r*r**(2\/23)*(r*r**3)**(1\/17) assuming r is positive.\nAnswer: r**(856\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2405 - 659. Let z = i - 19222\/11. Find the common denominator of z and -1 + (-62)\/18 + 1.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(-27)*(-6)\/4*57?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbbabboaaabaa. What is prob of sequence oaa?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31525 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugzz when four letters picked without replacement from qnnnnnuuznwgnnnzgn.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.396464275 plus -0.3?\nAnswer: -0.696464275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 153 = -8*x + 3*x, 0 = 3*x + k + 83. Let p = -15 - x. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16\/9 of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k + 2*n - 1, 0 = 4*n - 4. Let o(u) = -4*u - 2. Let a be (1\/(-3))\/((-1)\/12). Let l(m) = 6*m + a*m + 5*m + 1 - 13*m. What is k*l(q) + 3*o(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 1231*f**4\/12 - 930*f**2. Let i(o) = -2*o. Determine i(h(u)).\nAnswer: -4924*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -8 - (1 + 2). Let f = -4 + l. Solve 2*i = -0*g - f*g - 8, g - 6 = i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4\/68935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:28 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*u + 144*u - 270 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -4*r - 20. Suppose 0 = -3*u + 4*q + 8, r*q - 3 = -4*u - 44. Which is smaller: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/((-189)\/18) - -16*3. Let y be (x + -49)\/(6\/(-10)). Solve 0 = k + y - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**3 + 3500270*t**2 + 119013515*t + 1011627160 = 0.\nAnswer: -17, 700088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1438.295 milliseconds to nanoseconds.\nAnswer: 1438295000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/22 and -43\/4649018.\nAnswer: 4649018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5 - 38*x**4 + 427*x**3 - 1254*x**2 + 864*x = 0. What is x?\nAnswer: 0, 1, 3, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-20)\/60*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5 - 29. Suppose 777 + 879 = -9*n. Let p = -175 - n. Solve -5*c + 15 = 5*x, 5*x - p - w = 3*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -18669?\nAnswer: 18656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 4*l - 3. Let c(w) = 11*w**2 - 12*w + 9. Let f(g) = 3*c(g) + 8*v(g). Let z be f(3). Suppose -4*i + 12 - 4 = z. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49883899, -99767797, -149651695, -199535593?\n\"Answer: -49883898*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 51*k - 52*k + x, -k + 3*k - 9*x + 20 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4 + 12*p**3 - 27*p**2 + 14*p = 0. Calculate p.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3922207583?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6850.9990674 - 6851. Round b to 5 dps.\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1125*l - 1121*l - 4*l**3 + 227 + 2236*l + 3*l**3 + 3*l**3 as q*l + v + r*l**2 + b*l**3 and give v.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 (base 7) in base 16?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44707248 + 2?\nAnswer: 44707251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6*-524025\nAnswer: 3144150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + 3*u + 5. Let n(a) = 12*a**3 + a. Let k be n(1). Suppose 10*d - k*d = 24. Let w(g) = -11*g**3 + 8*g + 14. Determine d*m(z) + 3*w(z).\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4776)\/(-16))\/((-5)\/(-10)).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.6 + -1.6. Let f = 8 - h. Let v = 4 + f. What is the third biggest value in -0.4, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 326566 or 2285968\/7?\nAnswer: 2285968\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 50*y + 819 = 0. Suppose -l - l - 4332 = 0. Does 16 divide l\/(-27) + 14\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2)*-5)\/(sqrt(200)*2) + 2.\nAnswer: -sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110672*h**2 + 110669*h**2 - 332105*h**2 - 26*h**3 + 110764*h**2.\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -248, -373?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f**2 + 5*f - 5. Let y(i) = 17*i**2 - 14*i + 14. Calculate -11*u(p) - 4*y(p).\nAnswer: -2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j + 19*j. Suppose j = -11*i + 19*i + 56. Sort 0, i, 2 in descending order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1423592*v**2 - 5441*v - 11 wrt v.\nAnswer: -2847184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-6)*18\/(-15). Let m(t) = t**3 - t**2 - 4*t. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyop. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 870 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 850 and 129207310?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + (6 + -3)*-1. Let m = 22 - g. Calculate the remainder when 77 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547943 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 11*w - 19 + 2 = -4*m - 6*m + 4*w, 4*m = 5*w + 23 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:35 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 1. Let y be s(-3). Let q be 80\/12*4\/((-80)\/(-15)). Suppose -q*k = -y + 2. Solve -6 = -k*n + 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f + 4. Let d be a(-6). Suppose 2*k + 99 = 5*k. What is the remainder when k is divided by (d\/4)\/(3\/6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 410 - 80*c**2 - 17*c**4 + 49*c**2 + 29*c**2 wrt c.\nAnswer: -68*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 42448?\nAnswer: 42444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 72229891.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 5. Calculate h(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 669?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140312 + -21?\nAnswer: -140333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -103*t + 13. Let n(g) = 11*g - 1. Give -f(w) - 4*n(w).\nAnswer: 59*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 4*w - w)*(-245*w - 307*w + 45*w).\nAnswer: 1014*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/80 - s**5\/40 - s**4\/8 + 4*s**2. Factor k(l).\nAnswer: 3*l*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - -1) + 1)*1. Suppose -5*j + 8 = -3*j. Solve -k - f - j = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194, 92, 380, 670, 962, 1256, 1552?\nAnswer: 1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -795675 divided by 159135?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*l + l - 6, 0 = 2*b - 2*l. Suppose 3*c = b*n - 467, 8*n - 931 = 4*n + 3*c. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 - 1854*s + 5563.\nAnswer: -(s - 3)*(s + 16689)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4865014.441 to the nearest one thousand.\nAnswer: -4865000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = -46. Let k = 33 + v. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:08 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.048? (a) 2 (b) 3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {v: 2, p: 3, b: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*k**2 - 29*k**2 + 3*k**2 in the form a + j*k**2 + i*k and give j.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -810207029*n**3 + 563237795*n**2.\nAnswer: -4861242174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Let u(w) = w**3 + w**2 - 4*w + 4. Calculate the remainder when u(n) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:08 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2510*y**2 - 865*y**3 - 66*y - 66*y - 1 - 59*y + 191*y wrt y?\nAnswer: -5190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, x: 1, w: 2, b: 2, e: 4, z: 7}. Give prob of sequence dwd.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 6*z + 7. Let m be x(-5). Suppose 5*k - k - 2*n - m = 0, 0 = -4*n. Sort 1, k, -2.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2233122 (base 4) to base 10\nAnswer: 11226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**3 + 2732*y**2 - 2744*y - 5472 = 0?\nAnswer: -684, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 7*k**2 - 7*k + 7. Let m be 715\/(-572) + 29\/4. Let b(c) = c**3 - 6*c**2 + 6*c - 6. What is m*t(g) + 7*b(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3227*f**3 + 6*f**2 - 6*f + 80. Let c(q) = 6453*q**3 - 13*q**2 + 13*q - 173. What is 6*c(h) + 13*m(h)?\nAnswer: -3233*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*n*q*u**3 + 2*n*q*u**2 - 13*n*u**3 - 176*q*u**3 + 3*q*u**2 - 23*q*u - q + u**2 + 86*u wrt u?\nAnswer: 198*n*q - 78*n - 1056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/342202 and 59\/10.\nAnswer: 1711010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -54985, -36 in descending order.\nAnswer: 5, -1, -2, -36, -54985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-4 - 1) + (3 - (7 + -31)) - 35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1335054?\nAnswer: -1335104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*4*2*sqrt(143)*-5)\/((sqrt(176)\/(sqrt(8) + sqrt(48)\/sqrt(6)))\/((sqrt(2) - (sqrt(2) + 2*sqrt(2) - sqrt(2))*2) + sqrt(2))))**2.\nAnswer: 8320000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.8757 times 23.1\nAnswer: -66.42867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - -6. Factor -59*o**2 + 27*o**4 + 26*o**2 - 6 - 34*o**3 + f*o - 11*o**3.\nAnswer: 3*(o - 2)*(o + 1)*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.811094mm in centimeters?\nAnswer: 0.7811094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/57)*s*s**(-4))\/(s**(1\/2)\/((s\/s**(-7))\/s*s)) assuming s is positive.\nAnswer: s**(517\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**5 + 23*b**4 - 23*b**4 + (2*b - b**5 - 2*b)*(2 - 6 + 3)*(142 + 221 - 54).\nAnswer: 297*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102400 + -41?\nAnswer: 102304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*n - 1405 + 522 = 0, n = 2*c - 877. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (215\/(-301))\/((-2)\/14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 10:41 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3142005800 to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -417*b**2 - 3*b - 51?\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 5*r + 3. Let c = 5011 - 5009. What is the remainder when z(-5) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -794 - -796. What is the closest to b in 0.1, -5, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400\/(-17400)*(3*-2)\/(24\/(-6))*-1.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v**3 + 11*v**2 - 11*v - 69. Let y(j) = 6*j**3 + 4*j**2 - 4*j - 23. Give 4*w(m) - 11*y(m).\nAnswer: 2*m**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42565 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -721967800 by 4.\nAnswer: -180491950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 1. Let s be k(-1). Let z(c) = 100004*c**2 - 18*c - 10. Let p be z(s). Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90851*d - 45460*d - 45500*d.\nAnswer: -109*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*l - 4, -l + 4*d - 10 = 9*d. What is the biggest value in 5, -2, 4, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -919 - -1897. List the prime factors of i.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2565\/55) - (-196)\/2646?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**2. Let k(s) = -8 - 28*s - 8 + 15 + 26*s. Determine k(a(y)).\nAnswer: 20*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (158\/8)\/((-1)\/(-4)). Find the common denominator of -83\/6 and t\/24 - 2\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -171*a**4 - 4*a**3 - 2*a - 70. Let m(l) = 2*l**3 + l. Let c(t) = -4*t - 58. Let y be c(-14). Let f(w) = y*m(w) - v(w). Differentiate f(z) wrt z.\nAnswer: 684*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74778 and 23078?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 107.6191?\nAnswer: -21.52382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9458 and 0.031.\nAnswer: -293.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t. Let n(z) = -z**3 + 3*z**2 + 12*z + 6. Let p(l) = 4*c(l) + n(l). Calculate p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 78. Let u be 13\/(-8 - 1650\/(-206)). Suppose -20*o = -u - 2081. Calculate the remainder when o is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 44 + 48. Suppose h*w = 51*w - 10. Solve -7*q + 10 = -w*q, -4*y + 2*q - 24 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13455958 is divided by 769?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5562 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*((0 + 0 - 5)*(5*v**3 + v**3 + 2*v**3) + (2*v**2 - v + v + (3 + 3*v - 3)*(-v + 6*v - 3*v))*(0*v + 2*v + v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2940, -5881, -8822?\nAnswer: -11763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + -4023a3?\nAnswer: -40238e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 10. Let t(p) = 25*p**2 - 6*p**2 - 2*p - 10*p**2 - p**3 + 22. Let r be t(9). Is 2 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5464982759 to the nearest integer?\nAnswer: 1761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 11826954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j + 3. Let i be n(0). Suppose i*y + 11 = -28. Let o = y - -19. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3687 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -3*d. Suppose l - 20 = -d*y, -3*y + 39 + 1 = -5*l. Let j(w) be the third derivative of -w**4\/24 + w**3\/2 - 419*w**2. Determine j(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14752 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from xdcoduoooroouxuod.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 80, 323, 728, 1295, 2024, 2915, 3968?\n\"Answer: 81*c**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12206 + -12065. Let x be (-1)\/2 - 279\/(-2). Is g > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.7177 and 27.679.\nAnswer: 24.9613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(160\/20)*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12683\/10140 + 2\/2535. Let u = 25 + -24. What is the nearest to u in 5, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 2*v + 18. Suppose 3*r + v*g - 1517 = 0, 4*r = 2*g - 3*g + 2016. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -978 at least -1072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, c: 1}. Give prob of sequence xc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 52*o - 1214. Is 17 a factor of f(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 2 + 2 + (4*l - 4*l + 2*l)*(-2*l - 4*l + 5*l) - l + 3*l**2 + l + 5 - 6*l**2 - 5 + 28*l - 28*l + l**2 to y*l**2 + z + u*l and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - -6) - (-3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-15) - (1041\/(-45) + -1). Let o = w + -24. Suppose 5 = 3*h + 2*k + 4, -k + 2 = 2*h. Solve o = 4*y + h*l + 12 - 1, -5*y = -l + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*n - 27*n - 7*n)*(6 + 3 - 2*n - 5) - 13 + 13 + 71*n**2 + 28*n**2 in the form f + c*n + y*n**2 and give c.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 4*p + 3*l, -12 = 4*p + 4*l. Let k be (p - 1*-2) + -1. Let o(t) = -t**2 + 3. What is o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 124*o**2 + 16*o + 22. Let x be p(-2). Calculate the highest common divisor of 216 and x.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20111413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -120, -268, -474, -738, -1060?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 75*l = 74*l + 86, -4*w + 106 = -3*l. Solve -4*x = -8*t + 9*t - 23, -5*x - t + w = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 65 = 5*u, -4*y - 6*u - 194 + 18 = -2 - 82 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289003 is divided by 144231.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -111\/5, -3, 2\/5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 6. Let f be l(-5). Let n = 244 - 241. Differentiate f + n + 3 - 1 - 7*r**4 wrt r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-804)\/(-2010)*30\/(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**3))**29)**(1\/6) assuming t is positive.\nAnswer: t**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1262918498535 - 8704890*b**2 + 5414441580*b - 5\/3*b**4 + 6220*b**3.\nAnswer: -5*(b - 933)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(-7 + 7 + 4*c)*(45*c**2 + 42*c**2 - 84*c**2) as j*c + y + t*c**3 + h*c**2 and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -546 + 115*q + 1102 - 548 to y*q + v and give y.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 + 8*x**2 - 2*x - 4. Let h be w(2). Solve -12*f + 11*f + 5 = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5378730 divided by -490?\nAnswer: 10977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 12 = -8*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 28.4. What is the second biggest value in a, 3, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 1261?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -1100?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139, 581, 1317, 2347, 3671?\n\"Answer: 147*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 0, -q + 42 = -k - 43. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 <= 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 121, 129, 141, 157, 177?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s. Suppose s = -3*k + 8 + 7. Let o = -0.4 - -0.2. What is the closest to -1\/4 in k, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 - 20*w + 5. Let b(v) = v**2 - v. Let o(n) = -6*b(n) + k(n). Let j be o(-17). List the prime factors of (2\/(4 - 8))\/((-2)\/j).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30229452?\nAnswer: 2, 3, 11, 23, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(3) - (sqrt(3) - (-4 + 0 + sqrt(3)) - sqrt(3)))**2 - (-2 + sqrt(1728))**2.\nAnswer: -1564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:18 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -2, -5 in increasing order.\nAnswer: -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*i**4*q**3 - 2*i**4*q**2 + 5*q**3 + 10*q wrt i.\nAnswer: 160*i**3*q**3 - 8*i**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10099 (base 12) in base 9?\nAnswer: 31540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/(-6))\/(19\/((-57)\/6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/23 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6 + 3*t**2 - 2*t**2 + 7*t + 15 + 2*t. Determine s(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1350 - -1632. Calculate the remainder when w is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331202735 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3177.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k = -5. Suppose -2*o + 42 = 3*b, 2*o - 50 = k*b + 8. What is the highest common factor of 36 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**3*k*k*k**7*k*k*k)\/(k**(-12)*k*k**8) assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -161, 66, 291, 514, 735?\n\"Answer: -j**2 + 230*j - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 1, n: 1, u: 1, f: 1, s: 2}. Give prob of sequence xgs.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 0*m**2 - 4*m**2)*(-2 + 2*m + 2 + (8 + 20 + 8)*(1 - 1 - 2*m) + 5*m + m - 4*m).\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2 + 11*a + 9. Let k be v(-11). Let n be -4 + 4 + (k - -1). Let h = 61 + -33. Calculate the greatest common divisor of h and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -7.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 3 + 3)*(1094*t + 3727019 - 3727019).\nAnswer: 5470*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 646 = -5*v, -3*v - z - 128 = -4*v. Let k be (-6 + 148\/18)\/(((-90)\/81)\/(-5)). What is the highest common factor of v and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 8 - -75) + -39.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -22 (c) -4 (d) 179.2 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13846757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204714 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5366*u**3 + 15*u**2 + 16*u**2 + 3*u - 2 - 5371*u**3)*(-1 + 1 - 2*u) as v*u**3 + x + w*u + r*u**2 + y*u**4 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -13954519\nAnswer: 13954518.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3590448 and -7\/598408.\nAnswer: 3590448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/6 + 13*w**4\/6 - 19*w**3\/6 - 37*w**2\/6 + 20*w\/3 + 22\/3 = 0. What is w?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d. Let g be k(1). Let m be (-26)\/7 + (-5)\/((-175)\/(-10)). Let s = m - g. What is the highest common divisor of 96 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q + 968 = 71*q. Solve 0*k + q*k = 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -24.6. Let s = -4 - q. Let w = 21.3 - 21. Which is the third biggest value? (a) s (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 9) to base 5.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -674, -1358, -2044, -2732, -3422?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**8*w)\/w)\/w)\/(((((w*w\/(((((w*w**3)\/w)\/w)\/w*w)\/w)*w)\/w)\/w)\/w)\/w)*w\/(w\/((w\/(w**(2\/9)*w))\/w))*(w**8\/w)\/w assuming w is positive.\nAnswer: w**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, 52*p - 57*p + 5*u = -2035. What is the remainder when p is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 28*v**2 - 39*v. Give c(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15489*w + 15479*w - 11 - 144 in the form g*w + h and give h.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4 + 2*w + 3*w - 2*w. What are the prime factors of t(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkbb. Give prob of sequence kak.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*r**4 + 6*r**2 + 10859?\nAnswer: 448*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 31915*u + 191643. What is v(-6)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1079 + 1087 = 130*q - 824. Solve 2*c = -2*y - 4, 0 = 4*y + 28*c - q*c + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z = -13*z - 101096. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllajjlbjbjabll. What is prob of picking 1 b, 1 j, and 1 l?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*d)*(2*d**2 - 5*d**2 + 0*d**2) + 857*d**3 - 133*d**3 + 1145*d**3 in the form w*d**3 + h*d + s + m*d**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let d be 2 + 10*(-3)\/6. Let j(c) = 13*c**2 - 4*c - 4. Let y(k) = -12*k**2 + 3*k + 3. Let x(r) = d*j(r) - 4*y(r). Determine x(z(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**1)**(33\/7))**47 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**4\/12 - 1932*u**2 + 2*u. Let o(z) = -2*z**2 - 1482. Determine r(o(f)).\nAnswer: -4*f**2 - 2964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2137\/4 - -530. Find the common denominator of s and 97\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/5 + 1)*4\/264. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -69870, -2282 in descending order.\nAnswer: -3, -2282, -69870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = 2*f + 5, -3*f - 4*o = 4. Suppose -3*m + 4*n - 20 = f, 4*m + 3*n - 2*n + 14 = 0. Do -3 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from lvxmfmxfmvmvvmmm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-27)\/(-8)*(-280)\/210).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 21. Let l be 198\/10 - 2\/m. Solve l = -0*r + 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683654 is divided by 776.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12) - 18\/8. Let s be (o\/(-6))\/((-5)\/(-165)). Suppose 3*k + 10 = 8*k. Solve s = 3*a + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 - 3)*(-5 - k + 5) - 2*k - 1 + 1 + (4*k + k - 4*k)*(0 + 1 - 2) to a + j*k and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 7\/10*w**5 + 0*w**7 + 0*w**3 - 36*w**2 + 0*w**4 + 0*w + 31\/336*w**8 + 0*w**6. Find the third derivative of c(u) wrt u.\nAnswer: 1860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1005 + 1005.3. Which is the second biggest value? (a) m (b) -2\/21 (c) 12\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 1127*k**4 - 6730*k**3 + 4478*k**2 + 6731*k - 5605 = 0.\nAnswer: -1, 1, 5, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + 0.02. Which is smaller: m or 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q = x - 32, 0*x + 19*q + 85 = -4*x + 14*q for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.01 (c) -1 (d) -106234 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36284 < -36285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + j + j**2 + 4972*j**3 - 4974*j**3. Let b(a) = a**3 - 3*a**2 - a. Determine 7*b(m) + 5*w(m).\nAnswer: -3*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j. Let p(t) be the first derivative of 3*t**2\/2 + 99. Determine n(p(f)).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812372195 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 4*n - 15, -18*n - 42 = -4*l - 16*n. Let z(v) = 4*v - 5. Give z(l).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**3 - 158231 + 6*l + 158231 - 3*l**2 - 2*l**4 in the form u + x*l**4 + h*l + k*l**3 + j*l**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5, 297.1, -2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/9)*p**(-6))\/((p\/(p*p*p*p**(-1\/4))*p)\/p**(2\/5))*p**(-1)\/p**(-8)*p**(2\/9)\/(p*p*p**9*p) assuming p is positive.\nAnswer: p**(-1513\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/7)\/(((-300)\/(-42))\/(-5)). Are 1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*t - t. Find the second derivative of b**3 + b + 0*b**3 - b**3 - t*b**3 wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.75 times -5\nAnswer: -23.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 2*g**2 + 3*g - 36. Let c be i(0). Let l = c + 194. Is l a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 122 + (-1 - 0 - -3). Suppose 2*o - u - 33 = 0, u = 5*o - j + 43. Suppose -o = 2*y - 6*y. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 + 133. Let q = 42 - d. Let k(c) be the second derivative of -5*c**3\/6 + 2*c**2 - 2*c. What is k(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/321 - -265\/8988. Which is the closest to 2? (a) f (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122458508*p**2 + 55145981*p.\nAnswer: 244917016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10708498 - -3.\nAnswer: -10708495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*n**2 - 18*n**2 + 28*n**2)*(-33423 + 33423 - 227*n).\nAnswer: 6356*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 10*c**2 + 3*c - 4. What are the prime factors of g(-5)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 greater than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1041, 2095, 3161, 4239?\nAnswer: 5329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 1077\/27 - (-8 + (-213)\/(-81)*3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 36 + 0 + -8 + 4 + -67 + 8?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 16. Let q = 7 - s. Let x(o) = 2*o**2 - 14 - 6*o**q + o**3 + 11 - 4*o. Give x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a**2 + 3*a - 9. Let d(z) = -20*z**2 + 5*z - 15. Let c(s) = 3*d(s) - 5*p(s). Let q(u) = 467*u. What is c(q(h))?\nAnswer: -1090445*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 8*z**2 + 18*z + 6. What is the remainder when 76 is divided by p(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1148 + 1147. Sort 3\/4, o, -0.2, -2\/5 in increasing order.\nAnswer: o, -2\/5, -0.2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -14. Let t be (0 - 1)\/(5\/l). Find the second derivative of -2*w**2 + 2*w**2 + t*w - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17665976 is divided by 197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 2. Let m be i(-2). Suppose 3*p - 18 = -y, y + p = -m*y + 8. Solve 0 = 5*l + 2*r + 21, l + 5*r = 5*l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.638491us in milliseconds?\nAnswer: 0.001638491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let w(v) = 2*v - 3. Let m be 12\/(-8) - (-2)\/(-4). Let b(a) = m*w(a) + 5*n(a). List the prime factors of b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17*t**2. Let z = 7 - 13. Let x = -10 + 10. Suppose x = -o + 6 + 7. Let a(y) = -8*y**2. Calculate o*a(b) + z*m(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7984 - 7988. Let i = 1 + -1. Which is the nearest to 1? (a) -5 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*h + 17 + 16, v = -5*h + 11. Calculate the remainder when 156\/4 + 5\/5 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 166698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - f - 4. Let p be t(3). Solve 5*a = 5*u - p, 2*a + u + 8 = 2*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*r = -45, -5*u = -3*u + r - 33. Suppose 5*h + 5 = u. Suppose a - 84 = -h*a + 3*b, 4*b = -12. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 977071+7\nAnswer: 977078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose -2*j + 6 + b = c, -6 = c - j. Let o(p) = 8*p**2 - p - 1. Let g be o(c). What is the greatest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 93. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*s - 2*z + z, -4 = -2*s + 2*z. Suppose -s*j + 20 = j. Suppose -j*m + 28 = -m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 21 - 19. Let n be 1\/4 - (-105)\/(-84). Calculate the remainder when -1 - (n + (-16 - -1)) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1*1)\/((-3)\/33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*b - 102 = 0. Suppose q + 19 = -4*j, -q + 4 + b = -4*j. Let g(n) = 5*n**2 - n. What is g(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.55 - -1.32. Let z = 0.87 - o. Which is the third biggest value? (a) -1\/5 (b) z (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 803166, 803243, 803322, 803403, 803486, 803571, 803658?\nAnswer: 803747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -o + 3, p - 4*o + 12 = -p. Let m = -3120 + 3204. Suppose 0 = -x - p + m. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-9 - (-524 + 482)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-106358)\/14 - (3 - -8). What is f rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 44*m**2 - 22*m + 2. Let a(v) = 2*v**2 - 4*v + 1. What is 5*a(f) - b(f)?\nAnswer: -34*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(320) + 1) - sqrt(320))**2 + sqrt(320) - (-3 + sqrt(320) + -3)) + ((sqrt(320)*1*-6 - sqrt(320))*-3*-6)**2.\nAnswer: 480*sqrt(5) + 5091871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19402852 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -45\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 6696960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1077426*c**3 - 7*c**2 + 99107.\nAnswer: 6464556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(8 - 7). Suppose -5*n = -w*n - 55. Calculate the remainder when 31 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 5)*((-1197)\/190 - -6). What is the nearest to 1 in 13\/18, -3, t?\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/(-27) - (-4)\/(-36)*-24.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367257 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(3025\/132)*(-10)\/28.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 75985*p + 80. Give b(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9121*i - 1530*i + 6680*i.\nAnswer: 14271*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * 571.\nAnswer: 56529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -512, -763, -1014, -1265, -1516?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 6}. Give prob of sequence bd.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4464096 and 9828.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -29ab?\nAnswer: 29a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1073764 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g**3\/4 - 12513*g**2\/8 - 2455*g\/2 + 2679\/8 = 0 for g.\nAnswer: -893, -1, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 6845 = -2*o, 3*o + g - 10265 = 0. What is the highest common factor of 58 and o?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2030*k + 8 = -2020*k - 42. Let j(x) = -x - 1. Let h(c) = -2*c**2 + 2*c - 12. Let y(z) = -h(z) + 5*j(z). Determine y(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8 - 65)*4\/(-6) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586\/6 + 34\/(-51) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 6*u + 2. Let z(j) = j**2 - 11*j + 24. What is the remainder when z(13) is divided by y(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, -0.02, 3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 10010101101101010010101100?\nAnswer: -10010101101101010010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 + 2*v**3 - 7000*v + 11515*v + 11009*v - 17*v**2.\nAnswer: 2*v**3 - v**2 + 15524*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*r - 15 + 34, 44 = 4*r + 4*j. Which is the third biggest value? (a) -2 (b) r (c) -5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3\/11 (c) 1\/22 (d) -13 (e) 3\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((sqrt(114)*3*-3)\/((sqrt(66) - sqrt(66)*-1)\/sqrt(11)) + -1) + 3.\nAnswer: -18*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 44, 5, 0, -34 in descending order.\nAnswer: 44, 5, 1, 0, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35436 is divided by 5869?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/(-8)*(-12)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -2. Which is bigger: 6 or u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86599 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 = 36289*m - 36311*m - 1395 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g - 5. Let a(i) = 8*i + 2. Let k(d) = 5*a(d) + 2*n(d). Let s(z) be the second derivative of z**3\/3 - 9*z. Give s(k(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434, -436, -440, -446, -454?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.28155 litres in millilitres?\nAnswer: 3281.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t - 31. Let k be x(6). Let r = k - -464. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let s(o) = 3*o + 10. Calculate n(s(h)).\nAnswer: -6*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3496 - 509009.\nAnswer: -512505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 121 = 4*x + r, 2*x - 62 = -4*r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 55*s + 438. Let w be z(-8). Calculate the greatest common divisor of w and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32111031320 (base 4) to base 16.\nAnswer: 395378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2. Let z(g) = -62*g + 14 - 62*g + 183*g - 62*g. Give 14*k(u) - 2*z(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 20171\/6, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) -5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -473*i**5\/20 - 155*i**4\/8 - 1149*i**2. What is the second derivative of s(n) wrt n?\nAnswer: -2838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4 - 3) + 3 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 480 - 104)*(2*o**3 + 2*o**2 - 2*o**2) + (0*o**2 + 10*o**2 + 0*o**2)*(-2*o - 2*o + 6*o).\nAnswer: -1024*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 62509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1075.025 + -1099. Let u = -0.025 + x. Put 3, -0.4, u, 5 in decreasing order.\nAnswer: 5, 3, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 474 + 524 - 109 + 18)*(-37*m + 450 - 450)*(-5 + 4 - 1).\nAnswer: 74888*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p + (1 - 1 + p)*(-4 + 0 + 3))*(-20 + 20 - 8*p)*(0*p - 4*p + 5*p)*(p + 3*p - p).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/1 + -4. Let m = 8 - x. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/6 - 9344786*k\/3 + 43662512692898\/3.\nAnswer: (k - 9344786)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 - 35*m**2 - 102*m - 10. Let t be y(-6). Sort t, -4, -89 in increasing order.\nAnswer: -89, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33864 and 21216.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2753 and 39\/1943618?\nAnswer: 1943618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16357.35 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-15))\/((-16)\/(-91128)). Suppose u + 3337 = 6*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18157 is divided by 428.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = -12. Let p = v + 5. Let w be p*-1 - (4 + -10). Sort -4, -5, w in descending order.\nAnswer: w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 748 divide 246049383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - w + 6, 0 = -2701*x + 2704*x - 4*w + 99 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 11*r + 18. Let m be (-56)\/(-12) - (-2)\/r*-6. Solve 0 = 5*l + 2*a + 25, m*l - 3*a - a = 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q**2 + 95*q - 15. Calculate d(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 16. Let r be v(8). What is the tens digit of (-590 - 1)*(-7 - r)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-7) - (2 - -947). Let g = -846 - t. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*m + 25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3220)\/(-8))\/7*(-58)\/(-145)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31116137 is divided by 167.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13176 + 15748. Are 0 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2810 = 3*f + 2*h + 182, 2*h - 1752 = -2*f. List the prime factors of f.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/15)\/(-2)*695\/139?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372*h + 462 wrt h.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**2 + 43*z**2 + 44*z**2 - 122*z**2 - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15021369*u**3 + 14024180*u**2 wrt u?\nAnswer: -90128214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35712848209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 19\/28 + 6\/(-14). Let d = -0.13 - 2.87. Let s = d + 2.6. What is the nearest to f in -1\/4, -1, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 3818.\nAnswer: -1909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 + 2100*i + 220500 = 0.\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20883a - -963?\nAnswer: 2095a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let w(v) = 2*v**2 - 333*v. Give l(w(t)).\nAnswer: 4*t**2 - 666*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 67.2. Let k = y - -14.19787. What is k rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q. Let m(c) = -3*c**3 - c**2 - 5*c - 7. Let x be m(-2). Suppose 0 = -24*t - 1 - x. Let n(s) = -s + 1. Calculate t*z(f) - 2*n(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18003 - -24\nAnswer: 18027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2644 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 17. Let x = 27 - n. Suppose -6*l - 7 = -x. Solve 2*j - l - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 439, 2007, 4657, 8389, 13203, 19099?\n\"Answer: 541*v**2 - 55*v - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 5*d**4\/12 - 4*d**3\/3 - 3*d**2\/2 - d. Let j be i(-5). What is j rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 3, o: 1, w: 1, e: 2}. Give prob of sequence so.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 278 - 286. Let s = 3 - -1. Calculate the highest common divisor of o and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f*f\/(f*f**(-20)))**(1\/3))**(-9\/14) assuming f is positive.\nAnswer: f**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*z**2 - 1478*z**2 + 511*z**2 + 38*z**2 + 12.\nAnswer: -472*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99554863 to the nearest integer?\nAnswer: 9978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10*(2\/(-4))\/(40\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015267 is divided by 1960.\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 10*p**2 - 2*p - 222. Let r = -1 - -7. Calculate the remainder when c(r) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0 - 1\/12*o**5 + 0*o**3 + 0*o - 1\/8*o**4 + 3*o**2. Find the second derivative of j(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(136)*1)\/(-1*sqrt(8)*1*2).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 10) + -8 + (7 - (-1 + 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 29 = -4*c - 10, -c - 4 = -y. Let r(l) = 28*l - 1. Give r(c).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 6:43 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.393769 rounded to 3 dps?\nAnswer: 4.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -80*w**2 + 1. Let k be z(1). Let v = 84 + k. Suppose 2*a - 2*x = 360, 5*a + v*x - 409 = 481. Is 23 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.258 - 14.278078. Let y = -64.02 + 64. Let g = y - n. What is g rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134222 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406\/2 - (-1 + 50\/5) is divided by 174?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -4*2\/(-4). Let w = -1 + 1.5. Which is the nearest to 1? (a) y (b) -0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 42, 78, 148, 264, 438, 682, 1008?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2\/7 - 66*n - 1359\/7 = 0. What is n?\nAnswer: -151, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2*m + 4464*f**2 + 203*f*m + 2*f - 124 wrt f?\nAnswer: 10*m + 8928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 672*b - 36. Let r(z) = 269*z - 15. Let o(p) = 5*q(p) - 12*r(p). Let c(a) = 7*a**2. Determine c(o(u)).\nAnswer: 121968*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6692 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3 - q + 6*q + 7*q**2 - 2*q. Let j(p) be the second derivative of -p**4\/2 - p**3\/3 + p**2 - 41*p - 40. Calculate 2*a(h) + 3*j(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*i - 4*z = -81*i - 18, 19 = i + 5*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846653701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(-12)*j*j**(-2\/11)*j**(-1\/2)*j*j)\/((j*j\/j**(-1\/4))**(-11\/5)*j**(-1\/2)*j*j**(2\/5)) assuming j is positive.\nAnswer: j**(1401\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 852\/54 + (-4)\/(-18). Let a be (-4)\/c + 6\/40. Let k = 0.1 - -0.1. What is the second biggest value in -0.5, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**8\/21 + k**7\/105 + 5*k**4\/24 + 3*k**3\/2 - 28*k**2. Find the second derivative of m(j) wrt j.\nAnswer: 320*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321588 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 228.01 - 227. Let w = 1.67 + -1.66. Let l = w - i. Sort 0.3, -0.1, l in decreasing order.\nAnswer: 0.3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - 5 - (-49 - (-52 + -7 + 47)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13273\/2086 - 6\/1043. Calculate the common denominator of c and 83\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1766*l**2 + 1766*l**2 - 1393 + 1765*l**2 - 5298*l**2 as p*l + u + r*l**2 and give u.\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r = 0. Suppose -4*d + u = -r*u - 375, -4 = -4*u. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:09 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 143152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5543.9 - 5550.90008. Let b = 7 + v. Round b to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2064 and 89\/1032.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 76554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 871*u**3 - 4*u**2 + 4*u**2 + 2.\nAnswer: -871*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/2147 + -74713\/103056. What is the common denominator of 79\/18 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2326302056 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.0795. What is j rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009471488 rounded to 7 decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7702094 and 4.\nAnswer: -7.0808376","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {l: 1, g: 2, d: 2, h: 1, b: 1, k: 7}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*j + 6*c, -21*c = -4*j - 24*c + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1210.3 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -24\/6883, 0, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z = -48*z + 4. Let y(p) = -9*p + 1. What is y(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 3*d + 1 + 3*d**2 + 3*d**2 - 2*d**3. Is 21 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 5*r**2 - 5*r + 3. Let y be k(3). Let s be (-4)\/2 + 1 + y. Let v(m) = 60*m - 116. Let t be v(2). Sort s, t, 0 in increasing order.\nAnswer: 0, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 3 + 0*g + 0*g**3 - 1\/30*g**4 - 1\/150*g**5 - g**2. Let h(l) be the second derivative of y(l). Factor h(f).\nAnswer: -2*f*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-7))*y\/((y**19\/y)\/y))\/(y**(-1))**18 assuming y is positive.\nAnswer: y**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2152754 = -3292246. What is q rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3431*1231.\nAnswer: 4223561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*l + 30 = 0, 3*f - 24 = -11*l + 14*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -996385272481*i**2\/7 - 7985528*i\/7 - 16\/7.\nAnswer: -(998191*i + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, -8, 1.\nAnswer: -8, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109.6 - 110. Which is the smallest value? (a) -2\/7 (b) -1\/6 (c) z (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaqaqqqqq. What is prob of sequence aqq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1230.016 - -1225.916035. Let n = t + 4.1. Round n to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 3, y: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1005387 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 5*x - x)*(-6 + 3 + 4).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 1. Let t be ((-6)\/i)\/((-1)\/5). Solve -t*o + 5 = 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(102) - sqrt(102))*-1 + sqrt(102))\/(sqrt(42)\/(sqrt(14)\/sqrt(2))) + 3*sqrt(17)*2 + sqrt(102)\/(sqrt(24) + sqrt(6)) + sqrt(17)).\nAnswer: 136*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10432 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5200260 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - -4 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -5. Let d = 19 + f. Solve 0 = -a - 2*a + 5*i + 22, -5*i - d = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*m*s**2 - 4*j*s**2 - 3*j*s + 698*m*s**2 - 10*s wrt m?\nAnswer: -2*j*s**2 + 698*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 - 115 = -9*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8333*171.\nAnswer: 655.4943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 3*m**2 - 13*m - 22. Let f be o(-2). Solve -f = -u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9431761 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740104 (base 8) in base 13?\nAnswer: -14a29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 7*c**2 - 3 + 26*c**2 to j + s*c**2 + l*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 7*a**2 + 8. Let w = 9 - 2. Let g be m(w). Suppose -n = 3*n - g. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 + 4*c**2 - 20*c - 4. Let m(s) = s**2 - 1. Let y(j) = -4*m(j) + v(j). What is the second derivative of y(i) wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4 + 0*n**3 - 3*n + 8*n**3 - 2*n + 4*n. Let j(h) = -7*h**3 + h + 3. Let v be (70\/(-4))\/(-7)*2. Give v*f(p) + 6*j(p).\nAnswer: -2*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2. Let p be ((-2)\/6)\/(3\/(-18)). Let m(l) = -25*l**2 + 44*l**p - 23*l**2. Give y(m(q)).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 27*l = -30. Suppose -5*a - 3540 = -5*n, n + l*a - 897 + 183 = 0. Let d = n + -488. List the prime factors of d.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142 + 148. Suppose 2*s - v - 30 = -3*i, 5*i + 5*s - 65 = 0. Solve 10 = -5*z - i, 4*z = 3*q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/110700 and -31\/51660.\nAnswer: 774900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129409, -1035215, -3493831, -8281663, -16175117, -27950599, -44384515?\n\"Answer: -129401*q**3 + q**2 - 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 304753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 237199811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/172 or -1?\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 - 28161.1.\nAnswer: -28092.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1093503.24ns?\nAnswer: 0.0000000126562875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*r + r + 22, 8 = 4*r. Let c(m) = m + 6. What is the smallest common multiple of 17 and c(o)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 12*b - 62. Is 2 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l**(2\/3)*l)\/l))\/l**(1\/2)*l**(1\/2)\/(l\/(l*l**(-1\/5)))*((l\/((l**1\/l)\/l))**38)**4 assuming l is positive.\nAnswer: l**(4577\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -465 and -464 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**3\/6 + i**2\/2 + 2*i - 35. What is d(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16522, -33083, -49680, -66331, -83054, -99867, -116788?\nAnswer: -133835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1683)\/5*48790\/(-107338)?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -115*z**2 + z - 2. Let p(i) = -59*i**2 - 1. What is 7*p(h) - 4*r(h)?\nAnswer: 47*h**2 - 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(5*(-4)\/20). Solve -4 = -3*g - 5*v + 3, v + 17 = w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*v + 2, -12 = -5*g + v + 11. Let q be 6\/(-9) + 116\/12. Solve g*u + 0*u = 5*j - 35, -3*u = 3*j - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 + 254*o - 166. Determine k(84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Let y be (-2)\/(1*4\/2). Let q be c(y). Suppose 5*t = q*t - 2*b + 31, 4*b = 2*t - 26. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/(-4)*(-84)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -354. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445131 equal to 84457505\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 49?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 11090 (c) -13.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + 2*l**2)*(-l**2 + 0*l**2 + 3*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8090358 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - -9706871.\nAnswer: 9706859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*u = 0. Suppose u = 2*h - 22 - 2. Let r be 2\/12 - (-10)\/h. Sort r, -3, -5 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 75149025\/8?\nAnswer: 75149025\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 24*s**4 - 42*s**3 + 124*s**2 + 144*s = 0. What is s?\nAnswer: -9, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Suppose 6 = s - 3*s. Let l(z) = 4*z**2 - 3*z - 3. Let x(a) = -7*a**2 + 5*a + 5. Let r(v) = s*x(v) - 5*l(v). Determine r(d(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.66 - -0.66. Let a = 1 - 1.2. Let d = 5.01 + -0.01. What is the second biggest value in a, d, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 + 5*y**4 + y**3 - 6*y**4 + 0*y**3 + y**2 - y.\nAnswer: -y*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 10710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 207002611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 421635 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 409666?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s + 1. Let m(h) = -h**2 + h + 31. Let w(d) = -5*d - 39. Let n be w(-9). Let y be m(n). Determine p(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 4*n**2 - 5*n**2)*(8 + 0 - 9)*(2 - 2 - n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14393437*u**5 + 51102*u**2 - 2*u + 2?\nAnswer: -863606220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 219 + 0*z + 11\/2*z**2. Let q(c) be the third derivative of c**4\/12 + c**2. What is o(q(a))?\nAnswer: 22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18737 - 18619 = -22*b. Suppose 569 = v + 2*o, -10*o = 3*v - 7*o - b. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*r. Let w be ((3 + -2)*-5)\/(-1). Suppose 4*b = t - 3*t - 18, -3*b - 11 = -t. Sort b, w, r in ascending order.\nAnswer: b, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 22*u**2 - 8*u - 457*u**3 + 28*u**2 + 425*u**3.\nAnswer: -32*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -2 (c) -0.3 (d) -18\/8519 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393458293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -94*d. Let s(t) = 12*t + 21. Let m(k) = 2*k + 3. Let q(l) = -7*m(l) + s(l). What is x(q(i))?\nAnswer: 188*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + 89. Let r be o(-8). Suppose -1 = 14*g - r. What is the fourth smallest value in -4, -21, g, -2\/21?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 10, -4, 0.\nAnswer: -128, -4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + u. Let y be c(0). Suppose 0 = 5*d - y*d - 90. Suppose 0 = -2*z + z + d. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 2*g = -783. Let l = g + -88. Let p be -3 + -52296 + l\/1. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382413736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1671 + 2065. Calculate the remainder when z is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/18*(77\/28)\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4734944889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*m = 107*m + 10. Let h = -3\/77 + -19\/77. Which is the nearest to m? (a) 3\/2 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102)\/sqrt(54) + sqrt(17)) + -1)**2.\nAnswer: 16*sqrt(17)\/3 + 1097\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*s - 14, -3*v + 3*s = -2*v. Let j(r) = r**2 - r - 1. Let a be j(v). Suppose 0 = -8*k + a*k - 99. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.0211 (c) -1\/4 (d) 0.24 (e) 29 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/76?\nAnswer: -15\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-20) - 0)\/((-29)\/(-58)). Which is the fourth smallest value? (a) 0.5 (b) -2.5 (c) 2\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 4*z)*(-2 + 3 - 4)*(0 - 7 + 3)*(9*z - 3*z**2 - 20*z + 9*z).\nAnswer: -144*z**3 - 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + n**2 - 8*n + 5. Let m(h) = -3*h**3 - 3*h**2 + 13*h - 9. Let t(i) = -5*f(i) - 3*m(i). Calculate t(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/20 - n**4\/2 + n**2\/2 + n. Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4708 + 4708 - 54*k**2)*(-109 - 19*k + 109).\nAnswer: 1026*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by (0 + -1)*(-9 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 - 3*f**2 - 15*f - 11. Give g(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 3*q + 2*q)*(-q**2 + 1 - 1) + 2*q**3 - 3*q**3 + 2*q**3 + 10*q**3 - 25*q + 27*q**3 - 35*q**3 in the form t*q**2 + z*q + r*q**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 157*o**2. Let m(r) be the first derivative of r**2\/2 - 61. Calculate m(y(t)).\nAnswer: 157*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-154)\/(-21))*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 15*k + 7*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 19320?\nAnswer: 3\/3220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 45*d**2 - 42*d + 224. What is q(6)?\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -5, -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s**3\/5 + 54*s**2\/5 - 16*s\/5 = 0 for s.\nAnswer: -8, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w + 6. Let z be f(-9). Suppose 5*s = z + 12. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.39 + -1.59. What is the third biggest value in 15, 2, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4. Let r(j) be the first derivative of 1\/2*j**2 + j - 5. Let n(a) = i(a) + r(a). Give n(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5990 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 78.24. Let w = -406.6 + 407. What is the closest to t in -5, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - -2) + -11 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15203*h**2*q + h*q + 151*h + 2*q + 20 wrt h.\nAnswer: 30406*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1574 + 4b326?\nAnswer: 49a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231 + -168. Sort 3, l, 0 in decreasing order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 + 184. Suppose -6 = -b + 13. Calculate the remainder when m\/(0 - 2*-1) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1836)\/24)\/((-3)\/8). Suppose 6*o + 0*o = w. What is the remainder when 99 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**4\/12 + 8*i**3\/3 - 4*i**2 + 16*i + 4. Calculate the remainder when 87 is divided by v(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-15) - (-4)\/(-10). Suppose -d + 8 = 4*c, -8*c + 4*c - 3*d = -8. Suppose 0*l + 9*l**3 - o + 9*l**c = 0. What is l?\nAnswer: -2\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7605, 7598, 7601, 7620, 7661?\nAnswer: 7730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -30*u**2 - 397*u - 103. What is y(-13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*4\/72)\/(1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15115 - -8224. Which is smaller: -6892 or z?\nAnswer: -6892","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*15\/35. Let f(x) = 4*x**3 + 232*x**2 + 21*x + 1220. Let u be f(-58). Let z = 0.2 - 0. Which is the closest to 1? (a) u (b) z (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41073?\nAnswer: 3, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*g + 280*g + 129 - 143*g as t*g + u and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - b + 6 = 0, 0*y - 2*b - 6 = 5*y. What is the common denominator of 3\/(-6) - (1 + y) and (-1)\/(-1) + (-106)\/(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*z + 54 = 95*z. Let j(g) = -2*g**2 - 7*g + 1. Let v be j(5). Let f be (-1)\/z + (-238)\/v. Solve 0 = -f*i + i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218621 - 218621 - 5*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028637 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 8 + 6 + 34*k.\nAnswer: 34*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -k*g = -5*g - 3. Let z = 1202\/39 + -92\/3. Is z < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:03 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 9*i**2 + 2*i + 9. What is g(9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-168)\/(-20))\/(-1))\/(20\/(-8850)).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 162, 291, 430, 579, 738?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1622*h - 63 = -1613*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -5.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 10 - (-210)\/(-57). Sort i, 3, -3, 4\/5.\nAnswer: -3, i, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 445\/208 + -21\/104. Find the common denominator of y and -31\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 + ((-1836)\/(-1140))\/17. Which is the nearest to 2\/7? (a) -0.5 (b) w (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m - 2*m - 4*m. Let b(q) = -2 - 39*q + 2. What is k(b(t))?\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 517120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 150 = -87. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -212, -1658, -5578, -13208, -25784, -44542, -70718, -105548?\n\"Answer: -206*s**3 - s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 1763 - 1763. Let o(y) be the first derivative of 1 + f*y**3 - 1\/2*y**2 + 3*y**4 + 0*y. What is the second derivative of o(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1848 divided by 6\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 6*f + 1. Let c be ((-240)\/f)\/3 - 4\/(-14). Suppose 51 + 783 = c*w. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r**(7\/5)\/r)\/r)\/(r\/r**(-12)) assuming r is positive.\nAnswer: r**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 0.7, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**3*l**3*y + j**3 - 9934*j*l**3*y - 5*l**3 + 16 with respect to y.\nAnswer: -2*j**3*l**3 - 9934*j*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4914 = 9*j. Let z be (j\/4)\/((-5)\/(-20)). What is z rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 4, n: 1, j: 4, y: 3, r: 1}. Give prob of sequence uu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from {w: 4, r: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17854 minus 408?\nAnswer: -18262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 4. Let d be y(4). Let l = -4 - d. List the prime factors of 2\/3 + l\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 942 and 215774520?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20200051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*p + 2. Which is smaller: p or -2\/97?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/4 - 21*w**4 - 5947*w**3 - 529345*w**2\/2 - 9109557*w\/4 - 4037285\/2 = 0.\nAnswer: -61, -10, -1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/6)\/((-1215)\/1458).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -8 + -4 + -3 - -47 - -18\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5)*2 + -1 - (sqrt(80) - sqrt(5))*1).\nAnswer: 5 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 19*v - 187. Calculate l(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124.0587 - -0.0587. Do -1\/5 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 + 5)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16179*k**4 - 14*k**3 - 4385*k**2 - 2*k?\nAnswer: -388296*k - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 - 24*y**3 + 17*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n - 4*k = -91*n + 24 + 1, -10*n + 2*k + 364 = 0 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 414 = 4*i + 364, 0 = 2*i + 3*n - 5 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1568858.\nAnswer: 2\/784429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910105 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19682 and 1692?\nAnswer: 16650972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 372940 = -0*t + 282256. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -8. Let w = v + -35. Sort 5, 1, w in decreasing order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 8:52 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:24 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 3 - 5 - z)*(-4*z + 4*z + 2*z**2).\nAnswer: 4*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibiizbzbzbbobibbiz. Give prob of sequence zz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k - 14. What is the units digit of b(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.68 + -20. Let l = t - 1.67967. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t**4 + 15*t**2 + 11*t - 11. Let w(c) = 5*c**4 - 8*c**2 - 6*c + 6. Let r(q) = -11*w(q) - 6*x(q). Find the third derivative of r(z) wrt z.\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-8 - (4 + -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 7*j - 2*j - 7 - 2*j. Let h be c(-5). Let o = h - -17. Solve 5*l - 5*a = 2*l + 10, 0 = l - 2*a - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -6 + 25 + (16 - 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*c**2*v**2 - c*v**2 - 709*c - 43*v**2 - 1051*v wrt c?\nAnswer: 50*c*v**2 - v**2 - 709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 240*r. Let w(n) = -580*n**2. Calculate w(u(a)).\nAnswer: -33408000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 6*k - 260 = 0. Let x be (k\/8 + -4)*-6. Let f(y) = -y + 33. What are the prime factors of f(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -45*c + 17. Let w(t) = -21*t + 8. Let u(k) = -4*i(k) + 9*w(k). Let l(p) = -9*p + 5. What is 4*l(y) - 5*u(y)?\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13286805 (base 9) in base 2?\nAnswer: -11000111111110101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.9, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2748 = -132*r + 819*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*m**3 - 4401*m**2 + 1239*m**2 - 4.\nAnswer: 2*m**3 - 3162*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6984849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 17*h**3 + 8*h - 11*h - 4*h**2 + h**2. Is p(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -828, -5, 5, -84 in descending order.\nAnswer: 5, -5, -84, -828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m - 8. Suppose -17 = -3*n + 4*f, n - 17 = -n - 3*f. Let i(p) = 4*p + 5. Let q(h) = n*i(h) + 4*v(h). Give q(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219095 or 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/114 and 626\/144 + (105\/24 - 4).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(0 + 0 + 2*s) + 3*s - s + 0*s + 0*s + 2*s - 16*s + 0*s + 0*s - s + (2 + 4 - 5)*(-2*s + 4 - 4) + s - 3*s + s)*(-4 + 2*s + 4).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*c**4 - 25*c**4 - 61 - 45 wrt c.\nAnswer: -472*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 41 = r - 3*r, -3*l = 3*r - 93. Let k(w) = -w**2 + 16*w + 300. What is the remainder when r is divided by k(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 9*d - 3. Let y(c) = -5*c**2 + 10*c + 4. Calculate -6*w(k) - 5*y(k).\nAnswer: k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + c**2 - 13*c - 176. Let f be i(-6). Let w be -3*(1 - 2 - 0). Suppose -w*g + f = -44. What are the prime factors of g?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in -7, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-10) + ((-39)\/(-15) - 2). Solve -a - 2*s + 6 = a, 2*a = 4*s + n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18 - 12)\/((-2)\/(-2)). Suppose v = -i*v + 973. Calculate the remainder when v is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 86\/(-6) + ((-60)\/(-18) - 4). Let h be 3 - z\/(-6) - (-15)\/6. Let i = -76.01 + 76. Which is the biggest value? (a) -1\/12 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 75?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 6*s - 4. Let q be l(4). Let u = -2 + 2. Solve 0*o + q*o + 4 = u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -517777 - 12?\nAnswer: -517800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.2, -248.29?\nAnswer: -248.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and 2\/2359 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67.896 - -0.104. Let s = c - 67.95. Are -6 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 15 + 57 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - b - 12, -9*h + 5*h = 4*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316797, 316800, 316805, 316812, 316821, 316832?\nAnswer: 316845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + 0.11. Let m = -0.19 - r. Let b = 0.11001 + m. What is b rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 22*w**2 - 6*w**3 + 17*w**2 + 4*w**3 - 8*w in the form f*w**2 + z*w**3 + l + y*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nfnfnffffnnffnffff?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3239743 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.0261 - 11.08. Let l = -42.9461 + v. What is the second biggest value in 0.2, -5, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 3325?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3 + t + 1 - 4. Let s(l) = 5*l. Let v(o) = -51*o + 6. Let n(k) = -153*k + 17. Let c(i) = 6*n(i) - 17*v(i). Let m(w) = 2*c(w) + 21*s(w). Give g(m(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0.1822, 5, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-177)\/(3304\/(-56)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 208\/56 + 4\/14. Suppose -2*l = -o*h + 12, 0*l = 2*l + 5*h + 3. List the prime factors of (7\/l)\/((-3)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*m - 0. Suppose 32 = -m*i + 6*i - u, 5*i - 5*u = 25. Solve 0 = -5*n - 0*h - 4*h - 12, 4*n - 3*h - i = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-1))\/((-19)\/(-1463)*11*7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, h: 1, z: 2, c: 2, n: 6, r: 5}. What is prob of picking 1 r and 1 c?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**5\/60 - o**4\/6 - 7*o**3\/3 - 19*o**2 + 1. Let a be h(7). What is the highest common divisor of a and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1284209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18853 - 18958. What is the nearest to k in -1\/3, -4, 1, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22084 - -22084. What is the fourth biggest value in -39, m, 1\/9, -1\/27?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, i: 3}. Give prob of sequence xxxx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w. Let n(f) = 3*f**4 - 2*f**2 - 14*f. Let p(m) = 2*l(m) - n(m). What is the second derivative of p(c) wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2377, -2370, -2343, -2290, -2205, -2082, -1915?\n\"Answer: k**3 + 4*k**2 - 12*k - 2370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52705999708.5 plus -2.94?\nAnswer: -52705999711.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*((-3)\/9)\/(1\/9). Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 11*s - 17. Suppose -k = -3*m - 26, m + s*k + 6 = 12*k. Let f(o) = -o**3 - 8*o**2 + 9*o - 8. Calculate f(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 24 = 5*h - 27 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-25 - 5) - (4 - 2 - 7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 2 (c) -8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1904 and 9296.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 10 - 2 - 3) + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3181 = 5*d - 9128, 4*y + 9836 = 4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29824 and 10.\nAnswer: 149120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49263, 98522, 147781, 197040?\n\"Answer: 49259*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t + 54. Suppose -4 = -2*w + 4*w - 3*y, 2*y + 4 = 3*w. Suppose -w = 2*j - t. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3499, -435, 4671, 11819?\nAnswer: 21009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {u: 2, a: 4, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2363*z**2 - 2357*z**2 + 7015*z**2 - 2338*z**2.\nAnswer: -43*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 - g - 9. Let y be 5\/((-5)\/7) - 1 - -4. Let r(x) be the third derivative of x**5\/20 + x**4\/24 + 5*x**3\/6 - 2*x**2. What is y*a(u) - 7*r(u)?\nAnswer: -u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by -12*(1\/1 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y**2 + 4*y - 7. Let j(l) = -l**2 - l. Let i(s) = -4*j(s) - w(s). What is the first derivative of i(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -7. What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 733084 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7699301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 19. Solve d = -2*l + t, d + 2*d = -3*l + 21 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 3812.\nAnswer: -58\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*f + 0*f + 2*f)*(-6*f + 7 - 7) in the form v*f + l*f**2 + i and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64268573713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -87424 in decreasing order.\nAnswer: -5, -7, -87424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/17)*x**1)\/(x**(-1\/6)\/(x\/(x**(-5\/2)\/x))))**(8\/3) assuming x is positive.\nAnswer: x**(2264\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.23 + 17.230027054. What is u rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/(-9) - ((-30)\/(-9) - 4). Let q be (-30)\/(-50) + (-3)\/f. Let d be (-5 + (-1 - -1))*(-32)\/40. Solve -d*t - t = q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1230 + 2477. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 3. Let s(m) = -2. Let u(c) = 2*n(c) - 3*s(c). Let g be u(-1). Suppose 0 = -9*w + 3*w. Put w, g, -4 in decreasing order.\nAnswer: g, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -1, -5\/7, 0.2, 11.\nAnswer: -1, -5\/7, -0.5, 0.2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z**3 - 3*z - 2. Let x be o(-1). Suppose -x = 2*g - 19. Is g at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-334)\/(-3) - (-4)\/(-3). Let b = l - 71. Suppose -b*m = -34*m - 25. Solve -4*x + x + 8 = -4*s, -m*x = -4*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1756*k - 13608 + 13608 as c + i*k and give i.\nAnswer: 1756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - 3*h**2\/2 + h - 5. Calculate the least common multiple of l(-5) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, o: 1, q: 3, j: 2, d: 1, r: 3}. Give prob of picking 1 j, 1 r, and 1 q.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 767, 1735, 3091, 4835, 6967, 9487?\nAnswer: 12395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504478621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1656 + 51*g + 1656 + 49*g - 98*g - 167*g**2 + 148*g**2.\nAnswer: -19*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4694603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-870)\/25)\/((21\/(-5))\/(-3)*(-4682)\/16387).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102433 (base 6) to base 10.\nAnswer: 8373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1522243561 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67629 is divided by 2113?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1671 + -2?\nAnswer: -1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 21 - 13 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83024096 is divided by 900.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 2206185.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -3, 288 in ascending order.\nAnswer: -3, 3\/5, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -11 + 56 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 + 442. Calculate the highest common factor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111354*h**3 - 4*h**2 + 3*h + 79910.\nAnswer: 668124*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/481 or 0.1?\nAnswer: -4\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12674\/1 - (36\/9 - (1 - -1))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4 - 2*m**3\/3 - 3*m**2\/2 - m + 9. Suppose 5*l = 10 + 5. Let p be h(l). What is the highest common divisor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134618124 to the power of 1\/2, to the nearest integer?\nAnswer: 11603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78592917 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -786770 smaller than -786770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 223 + 391 = -23*b + 118 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 29\/(-5) + 2\/(-10). Let s be (-3)\/(-9) - 58\/w. Let c(g) = -g**3 + 9*g**2 + 12*g + 1. What is the units digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/(-93))\/((-1)\/3). Solve 0 = 5*a + 9 + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-20))\/1)\/(197\/(-788)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -1 - (-39 - -42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79\/83 - 16441\/1577. Is s less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 227806533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 6*z**5\/7 + 342*z**4 + 149034*z**3\/7 + 2540358*z**2\/7 - 149040*z\/7 - 2542752\/7 = 0.\nAnswer: -327, -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11306, 22794, 34282, 45770?\nAnswer: 57258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211211 + -1011202?\nAnswer: 101200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -112*j**2 + 8*j - 45. Let u(b) = 75*b**2 - 5*b + 29. What is -5*l(q) - 8*u(q)?\nAnswer: -40*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 51 = 4*i, -3*i - 2955*y = -2952*y - 33. Suppose -8 = a + 3*a. Put 2\/7, i, 5, a in descending order.\nAnswer: 5, i, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24337.75 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let p be r(2). Suppose x - 3*i = -2*i + 4, -p*x - 5*i + 28 = 0. Solve -2*j + x*k - 12 = 2*k, -5*k + 37 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30121 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011012 (base 3) in base 15?\nAnswer: a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 559157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.1 - -1.9. Which is the second smallest value? (a) -1.3 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 1025*p**2 - 76*p - 77900. Determine u(-1025).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Suppose u*q + q = 93. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279 is divided by 2097?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4711530, 4711533, 4711536, 4711539, 4711542?\nAnswer: 4711545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Let g(s) = -s - 1. Let z be g(-5). What is the smallest value in z, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-15))\/(231\/(-891)*9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 80*r - 701. Let z be u(-10). Is z less than 1\/543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592 not equal to 4076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 2*x)*(3 + 4 - 4) + (-x + 2*x + x)*(1 + 2 - 4) - 4*x + 4*x - 2*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -2*n + 1\/2*n**3 + 0 - 1\/2*n**2. List the prime factors of o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/27 (b) 5 (c) -0.1 (d) 0.28 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49352, -101548, -153744, -205940, -258136?\nAnswer: -310332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j = 9*j + 765. Suppose -11*l + j = -3. Solve l*o + 5 = 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 23\nAnswer: 196\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 2210454336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 213?\nAnswer: -106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mppefzezemzeefzff. What is prob of picking 1 z and 1 e?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 2*m**6\/15 - 8*m**5\/5 - m**4 + 52*m**3\/3 - 32*m**2 + 28*m + 2. Suppose i(t) = 0. What is t?\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 1:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 5*i - 9*i**2 + i**2 + 0*i**2 + 2*i**2 + i**2 - 5*i**2 + 3*i**2 + 5*i**2 - i**2 - 3*i**2 + (-2 - 1 + 4)*(1 - 1 + i**2).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/(-57)*(-6)\/4. Let h = 0 + -5. Calculate the common denominator of h and 1635\/(-180) - t\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let t(m) = -42*m + 27280. Calculate t(h(n)).\nAnswer: 42*n**2 + 27280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 + -112.1. Let x be (-1)\/(-3)*(-18)\/15. What is the biggest value in 4, z, x, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d + 36. Suppose j - 2*y = 4*j - 3, -j = -3*y - d. Let q(m) = 2*m + 0*m**2 - 2*m + j*m**2. Let u(b) = 5*b. Give q(u(i)).\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Suppose 0 = 7*n - 14*n. Let c(x) be the first derivative of 5 + 5\/2*x**2 + n*x. Determine c(w(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 13. Let t be o(-4). Put 0, -6, t in decreasing order.\nAnswer: t, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flffflffflfffflflf. Give prob of sequence ffl.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*m**2*u + m*u - 7*m - 2*u wrt m.\nAnswer: 294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 445548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a. Let r = -38 + 34. Let t(i) = -i. Determine r*f(o) + 14*t(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5 = -5. Find the common denominator of q\/(-15) + (-53)\/(-66) and 1 + 0 + (-126)\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(-j**3 - 3*j**3 + 20*j**3).\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3 - 18559794*s**2 + 37119597*s - 18559800 = 0.\nAnswer: -6186600, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66294 - 34914. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*b - 9 + 6, -b - 1 = 0. Let z(f) = -9*f**3 - 15*f - 15. Let c(p) = p + 1. What is m*z(v) - 15*c(v)?\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 5*r - 1. Suppose 0 = -2*q - 7 + 19. Let o be q\/(-9) + (-5)\/15. Let t(p) = p**2 + p. What is o*l(k) - 4*t(k)?\nAnswer: -2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y + 4*y + 5*y + 3*y + 0*y + 290 - y.\nAnswer: -3*y + 290","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/47 and -163\/2820.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**3 + 21*k**3 + 16*k**3 + 8*k**3 - 64*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzv when three letters picked without replacement from zrzfzrzv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54519851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 7*b - 237 = 3*q, -q = -2*b + 84. Let v = q + 159. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715419 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -46*v + 126. Let m be u(2). Which is smaller: m or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.883305 micrometers to kilometers.\nAnswer: 0.000000000883305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*r**3*z**4 + 684003*r**3*z**3 - r**3*z + 175*r**2*z + r*z + 2*r + 2*z + 10 wrt z.\nAnswer: 96*r**3*z**2 + 4104018*r**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59.6? (a) -0.3 (b) -1 (c) 2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 57 = -19. Let m = 0 - -3. Suppose -z + 100 = m*z + 4*t, 4*t + 60 = 4*z. Calculate the remainder when r is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -61*d**4 + 41*d. Let j(p) = -11*p + 7*p - 4*p + 7*p. Let s(x) = -2*j(x) + r(x). Find the second derivative of s(g) wrt g.\nAnswer: -732*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5 + 132*j**4 - 2178*j**3 = 0?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46264, 184817, 415658, 738793, 1154228?\n\"Answer: x**3 + 46138*x**2 + 132*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, p: 7, u: 2, g: 1, y: 7}. Give prob of sequence pup.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 28503225954.\nAnswer: 28503225954.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 7*g + 4. Let v(j) = j**2 + j - 1. Let x(o) = d(o) - 2*v(o). What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -b - 76. Suppose 1 + 4 = u, 3*f = -b*u + 32. Find the second derivative of -6*t**f - 25*t - 6*t**4 - 2*t**4 + 12*t**4 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19024*r = 19036*r - 288 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**2 - 446 - 40*t**2 + 452.\nAnswer: -80*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:30 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 21*i**2 + 2*i + 26. Let o be v(-21). Let y be (-8)\/o*(4 + 0). Suppose y*r - 3*t - 1874 = 0, t - 3776 = -2*r - 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98.71057 times -1.01\nAnswer: 99.6976757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1595 (base 10) to base 9.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 708951284 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 324 + -324. Let k(g) = -6*g + 2*g**2 - 11 - g**2 + 0*g. Let j be k(9). Solve b + 5*p = j, p - 2 + w = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -4, 3, 103, 24?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -49*b + 271*b - 44*b - 8*b - 66*b. Let a(o) = -11*o. Let x = -3 - -8. Give x*y(w) + 48*a(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 5. Suppose -5*k - 6 = -3*v - 0, -5*v = -k + 12. Let s = v + h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose 0 = 3*a, -h + 3*a + 1890 = 2*h. Differentiate -23 + h*q - 630*q + 13*q**c with respect to q.\nAnswer: 26*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18255090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 5*c**2 + 5*c**2. Let t(j) = -301*j - 63. Let p(h) = -201*h - 45. Let r(n) = 7*p(n) - 5*t(n). Determine z(r(w)).\nAnswer: 9604*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 608*l - 636*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.79 + -3.09. Let z be (2 + 0)*(-13)\/(260\/(-25)). Which is the closest to 1? (a) x (b) -2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 79. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(30)*2)\/(sqrt(1440)*-1) - ((5 + sqrt(27))**2 + (sqrt(27)\/(sqrt(9)*3) - sqrt(3)) + sqrt(3)).\nAnswer: -52 - 88*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30492950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -300120 (base 4) to base 11\nAnswer: -2365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 2*t + 28, 6*v = -5*t + 2*v - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110718085 by 1.\nAnswer: 110718085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131356 - 50?\nAnswer: -131436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1204401.31 to the nearest one thousand.\nAnswer: 1204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 24*x**2 + 29*x + 136. Give z(-12).\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -793*a**3 - 494*a**2 - 499*a + 6. Let b(n) = -1719*n**3 - 987*n**2 - 997*n + 13. Let v(t) = -6*b(t) + 13*f(t). Factor v(o).\nAnswer: 5*o*(o - 101)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 4*s**2 - 1. Let b be w(4). Suppose -z = 3*z + 4*c - 12, -11 = -z + 3*c. What is the third biggest value in b, z, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 96 = -105. Let a(v) = v**2 - v + 1. Let f(i) = 3*i**2 - 6*i + 6. What is p*f(r) - 6*a(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312*y - 29515 = -16 - 3119 + 15604 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -686*n + 1560 + 38914 for n.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 + 26343572?\nAnswer: 26344038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**2*o**2*v*z**2 - 3*a**2*v*z**2 - a*v*z + 3*o**2*v - 3*v*z**2 + 3*z**2 wrt a.\nAnswer: -6*o**2*v*z**2 - 6*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40218155 and 169803.\nAnswer: 6289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 minutes after 1:33 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84.4 or 3\/5?\nAnswer: -84.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-211*t**4 - 26*t**4 - 101*t**4)*(3 - 1 + 2 + (-3 + 1 - 1)*(1 - 3 + 0)).\nAnswer: -3380*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:53 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5807481643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 620 and 110067236.\nAnswer: 550336180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04106375*0.4.\nAnswer: -0.0164255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11543 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86928670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = -3*g - 7*v, -13 = -2*g + 5*v. Let f = -233 + 233.1045. Let z = f + -0.9045. Which is the nearest to g? (a) 0.2 (b) 2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)\/(o**(2\/3)\/o))\/(o**3*o**(-4)) assuming o is positive.\nAnswer: o**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r**2\/7 + 4264948*r\/7 + 1827768 = 0.\nAnswer: -1066198\/13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*b + 47, 5*b - 25 = -0*b. Suppose -2*h + 12 = -14. What is the remainder when s is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.03 (b) 1.49 (c) -10 (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(-4 - (-45)\/10). What is the second biggest value in k, 0.3, -0.03, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760 = -3257*m + 2545*m + 27432 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 2. Let d(w) = 30*w**2 - 3*w + 3. Let o be d(2). Suppose -4*q + o = -43. Let n(x) = -19*x + q*x + 7 + 3. Determine 11*m(p) + 2*n(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeqqeqeqeeq.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -6. Suppose 6*o + 18 = a*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790314 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/3*s**5 + 11\/9*s**3 - 5\/3*s**2 - 1\/9*s**4 + 7\/45*s**6 + 28*s - 1\/63*s**7 + 2. Solve i(c) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - 2*u**2 + 4*u**2)*(-4 + 2 + 0) + (-3*u**2 + 5*u**2 + 0*u**2)*(2 + 0 - 1).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 140*l - 264.\nAnswer: -4*(l - 33)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*c**4 - 258*c**3 + 313*c**2 + c - 25965471 wrt c?\nAnswer: 24*c**3 - 774*c**2 + 626*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 20. Suppose 2*j + 4*h = -26, -h - 19 = -3*j + 6*j. Let u = -8 - j. Put u, x, 2 in ascending order.\nAnswer: x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -90. Let d = q + -71. Let u(h) = -14*h - 23. Let f(s) = -5*s - 8. What is d*u(g) + 17*f(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243858*t**2 - 71593*t?\nAnswer: 487716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 50823*v - 2896910. Give o(57).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.8 - -10. Let c = d - 4. What is the closest to -1\/4 in 2\/11, -2\/3, c?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**2*c*c**(-4\/5))**(-9\/10))**(-2\/15))**(20\/7) assuming c is positive.\nAnswer: c**(192\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (116\/(-290))\/(2\/(-185)). What is the highest common factor of 481 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l + 39. What is the highest common factor of l and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -92a49?\nAnswer: -92a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -54.35584.\nAnswer: -27.17792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 39, 85, 149?\n\"Answer: 9*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4 - 1160*g**3 + 108672*g**2 - 3210104*g - 3319940 = 0.\nAnswer: -1, 65, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6048 is divided by 274.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 777\/8. Let w = -0.3 - -0.3. Which is the closest to 0? (a) k (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w**3 - 2*w**2 - 10*w. Let m(u) = -8*u**3 - 2*u**2 - 9*u. Let h be -14*(42\/(-7) + (-13)\/(-2)). Give h*m(t) + 6*c(t).\nAnswer: 2*t**3 + 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 237*q**3 + 3*q**2 + 6*q - 457. Let j(h) = -474*h**3 - 7*h**2 - 14*h + 913. Let y(w) = 3*j(w) + 7*v(w). Find the first derivative of y(c) wrt c.\nAnswer: 711*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*d - 46187 = -441*d - 13213 + 95561 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbl when three letters picked without replacement from lrrrb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2714360, 2714371, 2714382?\n\"Answer: 11*t + 2714349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 830 - 504. Let s be 2 - (-1)\/((-4)\/(-2200)). Let j = s - r. List the prime factors of j.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31513.3506 - -31513. Round d to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11. Solve -k = -2*w - x*w + 6, 0 = 4*k + w - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3203 + 3b?\nAnswer: -31a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = -22. What is the common denominator of (h\/8)\/(6\/(-60)) and -93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*h + 15, -747*a + 751*a + 30 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.182 + -0.118. Which is the second smallest value? (a) -0.5 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -93, 96, -1, 32\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(45) - sqrt(2880)) + (sqrt(70)\/sqrt(2))\/sqrt(7)) - ((-1 + sqrt(245) - sqrt(245) - sqrt(245) - sqrt(15)\/sqrt(12)) + -3*sqrt(720))**2.\nAnswer: -37849\/4 - 207*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*d + 8 = -0*l, -d + 2 = -2*l. Suppose -4*x - 3*x = -112. Let t = 65\/4 - x. What is the closest to l in 4, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1026*z. Let m(b) = 6*b. Determine t(m(w)).\nAnswer: -6156*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + l**2 + 70*l**4 - 67 + 70 + l**2 in the form i + t*l + q*l**4 + a*l**3 + h*l**2 and give q.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -33. Let p be (-20 + 0)*6\/(-15). Suppose 0 = p*g - 3*g - j. Solve -2*n - 4 = -2*z, 3 - 1 = g*n + z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 110020 = -q, 5*q - 4*c = q + 440016. Round q to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 134, 378, 856, 1646, 2826?\nAnswer: 4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122877 (base 10) in base 8?\nAnswer: 357775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3809415960 from 22003.\nAnswer: -3809393957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-26)\/(-32) - (119 - (-142575)\/(-1200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 + 7. Let b(z) = -5*z**2 + 4. Suppose -4*a = 3*g - 55 + 99, -32 = 4*g. Determine a*b(q) + 3*r(q).\nAnswer: -8*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0. Suppose -2*j - 21 + 17 = 0. Sort 1, y, j in descending order.\nAnswer: 1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -480 + 889. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 522, 782, 1042, 1302?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 6 = -7*f. Let m be (-2)\/(-2)*f\/6. Find the first derivative of -m + 2*a**3 - 4*a**3 + 4*a**3 wrt a.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6240550*v**2 + 124931*v + 3.\nAnswer: 12481100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 169665.253 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1110101001001 (base 2) to base 11\nAnswer: 56a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160\/(-11664)*(-12)\/10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60 - (0\/(-2) + -3). Suppose -u - 16 + b = 0. Calculate the remainder when u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*m**2 - 58*m + 58*m)*(-3*m + 0*m + 5*m + (-2 + 0 - 2)*(-m - 3*m + 5*m)).\nAnswer: 340*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 + -276. Which is bigger: s or -10\/47?\nAnswer: -10\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 30*p - 160. Calculate c(31).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -163.5737 and -38.\nAnswer: 6215.8006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**2*q**5 + 6*h**2 - 1618*q**3 + 40*q**2 wrt q?\nAnswer: -60*h**2*q**2 - 9708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 465 + 263*d + 19 + 251*d wrt d?\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i, 2*i = 2*v - 0*v - 1380. Is 23 a factor of (1\/(-2))\/(-4 + 2755\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 71*z**2 + 17*z - 1. Let u(f) = 71*f**2 + 18*f - 1. Let t(a) = 5*b(a) - 6*u(a). What is the second derivative of t(o) wrt o?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**3 + 682*n - 3*n**2 + 2*n**4 - 3 - 686*n + 4*n**2 as h*n**2 + y + f*n + t*n**3 + a*n**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3223540 to the nearest integer?\nAnswer: 1795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/3 of a century?\nAnswer: 23600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -10*z + 5*z. Let y = -218 - -148. Let p be (-10)\/(y\/63) - (4 + 0). Solve -4*w + 2*r - 3 = 7, 2*w + z = p*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117124 - -188923.\nAnswer: 306047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = 7. Suppose 2*v = -2*o - 3*o + 13, 2*o = 4*v + 34. Calculate the remainder when ((-10)\/q*v)\/1 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 2, k: 1, w: 1, h: 2}. Give prob of sequence kwhc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13462 is divided by 4365?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 465 = 6*s. What are the prime factors of (-1)\/(276\/s - 3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 92?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/3)*(c\/(c*(c\/((c**(-19)\/c*c)\/c))\/c))\/c*c*c**(-9)\/(c\/(c*c*c\/(((c\/c**(6\/11))\/c)\/c)*c)) assuming c is positive.\nAnswer: c**(-796\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169441.9us in hours?\nAnswer: 0.00060262275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14670027 to the power of 1\/2, to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.79*129\nAnswer: -101.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9395152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 12. Suppose -15 = 2*v + 1. What are the prime factors of ((-68)\/v)\/(2\/l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j. Let y(x) = -4*x - 11. Let n(s) = s + 4. Let i(o) = 11*n(o) + 4*y(o). Let c(b) = 2*b + 4. Let v be c(4). Let d = -21 + v. Give d*t(m) - 4*i(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 + 1105*n**2 + 1156*n + 12371. Determine d(-220).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - -3*sqrt(171) - (sqrt(2736) + 0)**2 - (2 + sqrt(152)\/(1*sqrt(8))).\nAnswer: -2738 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**2 - 4*a*j**3 + 3*a*j**2 - 3*j**3 - 52*j wrt a?\nAnswer: 6*a - 4*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 3*y - 3*y)*(-2 + 0 + 4) + 41*y - 3*y - 18*y + 3*y - y + 0*y in the form m*y + x and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m + 41. Give i(-16).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16852 = 8*j. What are the prime factors of 6\/(-15) - (-4 - j\/5)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*g - 293*g + 35280 = 0. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 7*h**2 + 4*h - 12. Let x be n(-6). Suppose 3*v - 7*v = x. Suppose 0 = -2*s + 8, v = -5*d - 2*s + 305 + 3. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-3 + -309))*3\/12. Let r(a) = -n - a + 79. Let x(y) be the first derivative of 2*y**2 + 13. Determine x(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120547 and 3451.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) 0.1 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*d**3 + 21*d**2 - 194 with respect to d.\nAnswer: 156*d**2 + 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.075 + 0.075. Let r be 2 + 10\/(-4) + 1. Which is the nearest to r? (a) g (b) -0.6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6024 - 4856. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 4*m, 147*m - 2 = z + 151*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + (sqrt(55)\/(1*(sqrt(11) - -1*sqrt(11))))**2 + -3)*2 + -4 + 5.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 974\/9 + -108. What is the nearest to 0.026 in -3\/5, 2, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 9. Calculate m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 9176*g - 9177*g - 4)*(-2 - 1 + 4).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 + -198. Solve 5*m - 11 = -3*p + 4, 3*p + k*m - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169498 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 - 7268*s + 7294*s + 61 + (3*s + 4*s - 5*s)*(-3 + 1 + 4) as j + w*s and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)*(-8)\/(-2). Let c = -51 + 57. Put c, j, 0 in increasing order.\nAnswer: 0, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*o + 3*o**2 - 3*o**2 + 11*o + 21 + o**3 + 6*o**4 - 2*o**4 in the form t + v*o**4 + q*o**2 + a*o + w*o**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:31 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:42 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117 + -119. Let j = -37\/24 + 5\/3. Let v = 1\/136 - 279\/952. Which is the closest to z? (a) v (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 + 57228015*v + 57228020 = 0. What is v?\nAnswer: -1, 11445604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 41. Let v be (-14)\/91 + q\/(-13). Differentiate -v + 5 + 2 + 2*j**2 wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166183, 166150, 166073, 165934, 165715?\nAnswer: 165398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 245758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000001000110000 (base 2) in base 5?\nAnswer: -4103341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 25 = -3*w + 11, 12 = w + 5*b. What is the smallest common multiple of 48 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 42. Let c = 19 - a. Let q = -1382\/7 + 198. What is the nearest to c in -1, -2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:46 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*b**3 - 97*b**3 + 4 + 1 + 46*b**3 - b + 5*b to the form i*b**3 + y + x*b + t*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21994652*y**3 + 49257711?\nAnswer: -65983956*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 353 + 22 = 0. Let d = f - -45. Let g = 42 + d. Solve -3*v = -2*l - g, v - 5*l - 6 = 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -3, -47, -129, -261?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 54*u**2 - 161*u + 205. What is v(-51)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m - 1. Let q(i) = 9*i**2 - 22*i + 34. Let b(l) = q(l) + z(l). Calculate the remainder when b(-11) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(0*t + 3*t - t)*(4 + 6 - 4).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 120 - 62 - 56 - 419*l**2 + (l + 2*l - l)*(0*l - 2*l + 3*l) + 4*l - 4*l + 2*l**2.\nAnswer: -415*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + 0 + 0 + sqrt(99)))**2 - 4*(-1*(sqrt(1331) + 0) - (sqrt(1331) + (1 + sqrt(1331))*-2)).\nAnswer: 1080*sqrt(11) + 4456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693303 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 16*n - 1. Let h be d(-8). Let p = -28 - h. Suppose 3*f + 13 = 4*f. Calculate the remainder when p is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-335)\/(-268))\/((-15)\/1044)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -22. Let q = f - 20. Solve -2*a = 5*d + 7, -4*d - 4 - q = 3*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -2. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.424594 rounded to 3 decimal places?\nAnswer: -0.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -48. Suppose 4*h = -c + 3 + u, 3*c + 3*h - 18 = 0. Solve -5*o + 5*t = -30, -t = -2*o - c*t - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-25)*q)**(-41) assuming q is positive.\nAnswer: q**943","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3920156 + 7839960 - 3919804 + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 25*x**2 - 2*x - 51. Let s be h(-25). Does 7 divide s\/2 - 2151\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17847 is divided by 113.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100824 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 29 + 23 = 3*p, 0 = 5*p - 20. Let k = -16 - u. What is the units digit of (1140\/k)\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 - 0.1077.\nAnswer: -116.1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.666 + 0.134. Let w = -0.2 - -15.2. Let t = m - w. Round t to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 540*d**3 + 543*d**2.\nAnswer: -3*d**2*(d - 1)*(d + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s**5 - 25*s**4 + 25*s**3 + 30*s**2 - 2*s - 13*s - 5*s**2 = 0. What is s?\nAnswer: -3, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjj when four letters picked without replacement from {x: 2, j: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*h - 124, 0 = 4*h - 0*h - l - 109. Let y = 30 - h. Suppose 0 = -y*o + 11*o - 42. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1895.99 and -3?\nAnswer: 5687.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -21. Suppose -4*d + 2*d + 8 = 0. Let g be (2\/d)\/(10\/b). Sort 0.05, g, -1.\nAnswer: -1, g, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14455, -14451, -14447, -14443, -14439?\n\"Answer: 4*g - 14459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50473 rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2924 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1671645 - -1522?\nAnswer: 1673367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*3 - 9*(-6)\/18. Solve t = -3*n, -2*c + 4*c = -3*n - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 665, 660, 657, 662, 681, 720, 785, 882?\n\"Answer: o**3 - 5*o**2 + 3*o + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006973 rounded to 4 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 5*c**3 - 67 + c**2.\nAnswer: -5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*3*(2\/12)\/(14\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93626\/3135635 + 400646143499\/444118798860. Let m = o - 1\/6438. Find the common denominator of m and -7\/68.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2094*k + 4294*k - 793 = 2139*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8678 (base 9) in base 8?\nAnswer: -14365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.78 - 2.84. Let o = n + 0.06. Let r(v) = -v**2 + v - 3. Let u be r(2). Which is the biggest value? (a) o (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + f + 39. Give l(-25).\nAnswer: -1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q + 1. Let z = -40 - -35. Let w(d) = 16*d**2 - 38*d - 5. Let p(y) = z*c(y) - w(y). What is the second derivative of p(h) wrt h?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - i = -780. Let m = 46 + -20. Let a be (m + 2 - 1) + -1. What is the highest common divisor of i and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.193 + 0.037. Let v(x) be the first derivative of 2*x**3\/3 - 17*x**2\/2 + 28*x + 14. Let u be v(6). Is u > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + d**2 - 6*d + 4. Let h be 11\/2 - (-1)\/(-2). Let c be l(h). Calculate the common denominator of 67\/14 and c\/(-20) - 1\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b**2 + 25*b + 233. Is n(-46) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(65) - sqrt(65)*2))\/sqrt(5)*-5.\nAnswer: 1 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35829907 - 35829907 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 391*w**3 - 3454*w**2 wrt w?\nAnswer: 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-10)\/90*(1 - -8). Let b be (((-16)\/6)\/(-4))\/((-10)\/(-60)). What is the nearest to 0 in k, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 10*t + 78, -m - 10*t + 12*t + 24 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/23)*o)\/o*o\/(o*o**(-34)))**32 assuming o is positive.\nAnswer: o**(25824\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + (7 - -16) + -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(-1)*(12750\/(-2601))\/125?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 16*a - 59. Let c(f) = a*f + 42262 - 42262. Let d(t) be the third derivative of -t**5\/60 + t**2. Calculate c(d(z)).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 9:04 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + p**2 - 1. Let q(a) = -3 - 86*a + 10*a**2 + 85*a + 7*a**3 - 4*a**2 - 2*a**2. What is 3*h(o) - q(o)?\nAnswer: -4*o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36478507 and 442.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 2}. What is prob of sequence cr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*z + 13747*z**3 + 30*z + 27*z + 12*z**2.\nAnswer: 13747*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-9 - -4)*-2. Suppose -2*c = 0, -4*c + 4 = 4*b - c. Solve -b - k = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 6*x**2 - 6*x - 5. Let c(a) = a. Let z be c(7). Let r be l(z). Suppose w = -r*w. Solve -m + 0 = -2*q + 2, m - 4*q = w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 302 + -213. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 - o + 3. Let q be a(5). Let g(h) = h**2 - 11*h - 195. Let v be g(22). Let y = q - v. Solve -4*w = -i - 2, i + 1 + y = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1421 divide 2346071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16177 take away -0.4?\nAnswer: -16176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 33*f = -2*t - 386, 3*t = -f - 117. Sort 0.4, f, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10747092 or 10747091?\nAnswer: 10747091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eaoaoaeoaoaaaoaooea.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {j: 1, f: 2, y: 6, z: 3, u: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 - 18. Let d = 14 + q. Put 0.5, -1\/5, d in decreasing order.\nAnswer: 0.5, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3 + 2) - 6. Let k(j) = j + 6. Let f be k(r). Is 15 a factor of (f\/(-6))\/(2\/174)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 226105 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:01 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a**2*o**2*r - 2*a**2*o**2 - 2*a**2 + 1713*a*o**2*r - 128*a*o + 29*o**2 wrt r?\nAnswer: -6*a**2*o**2 + 1713*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2. Suppose 0 = -3*n, 0 = -2*v + 6*n - 2*n + 6. Suppose 3*b + 3*x = 9, v*x + 7 = b - 0. Let k(g) = b - 1 - 3 + 4*g. Calculate k(p(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116421 and 3775?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**33\/p)\/p)\/p**(3\/40) assuming p is positive.\nAnswer: p**(1317\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -11, 4, -4, -203 in descending order.\nAnswer: 4, -1, -3, -4, -11, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-28))\/(18\/(-231)). Let p(o) = -o**2 + 15*o - 30. Let f be p(13). Let b be 84\/(-60)*f\/(-14). Is b at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/13 - -10\/117. Let o = -10 + 12. Suppose 0 = i + o*i. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 r when three letters picked without replacement from {d: 1, b: 2, i: 1, x: 2, r: 2, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 19. Let j be (-1*2)\/((-2)\/4). Let a = j - 2. What is the remainder when x is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 1 = 2*p. Let g = -98 + 79. Let b = g - p. Solve 4*a + 5 = 3*y, b*a - y = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3412 = 3*n + 2*y, -y - 1963 = -4*n - 6527. Let b = -1137 - n. Suppose x - 3*r + 36 = 4*x, 3*x - 44 = -r. What is the remainder when x is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79750375.59798591 + 79750373. Let s = -2.598 - i. What is s rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2. Let c(i) = -i + 16. Let d be c(11). Let b(q) = -5 + q + d. Give b(u(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -18621143*y. Let v(b) = b. Calculate v(n(l)).\nAnswer: -18621143*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1*4\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d**3 + 109*d**3 - 199*d**3 - 2*d + 236.\nAnswer: -2*d**3 - 2*d + 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 - 4*f + 7. Calculate r(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20611335 is divided by 10415.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210594392 divided by -172.\nAnswer: 1224386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -295*q - 12. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*u**3 + 809*u**2 - 809*u**2 + (0*u**2 + 0*u**2 + 2*u**2)*(-2*u + 0*u + 3*u) to the form w*u**3 + j*u + c*u**2 + z and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53881098 times -0.5\nAnswer: -26940549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6152 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -6*b**5\/17 - 2950*b**4\/17 - 103664*b**3\/17 + 649752*b**2\/17 + 478368*b\/17 = 0.\nAnswer: -453, -44, -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1*sqrt(30))\/sqrt(10) - (sqrt(21)*-3 + sqrt(21))\/sqrt(7) - ((sqrt(3) + 3)*-1 + sqrt(3) - sqrt(6)\/(sqrt(2)*3))**2).\nAnswer: -22\/3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*x**5 + 874*x**4 + 2*x**3 + 7999*x**2 + x wrt x?\nAnswer: 600*x**2 + 20976*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - -0.4. Let p = 27 + -136\/5. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 13 - 4)*(0 + 0 - d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {o: 1, k: 1, b: 2, f: 1, g: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-870)\/(-232)*8\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-495)\/(-825))\/(7215\/(-2400) + 3).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -76*x + 119. Let w be n(10). Let g = -638 - w. Solve g*s - 8*s = 4*z + 20, -4*s = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476737 is divided by 164?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {w: 1, n: 4, h: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2. Suppose 0 = -2*n + j + 2, -n - 19 = -2*n - 4*j. Let k(v) = -1 - 4*v**2 - v**2 - v**n + 2. Give -3*c(a) - 2*k(a).\nAnswer: 2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641550401 to the power of 1\/2, to the nearest integer?\nAnswer: 40516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 - 2*q + 1. Let r be d(1). Let i be (-15)\/18 - r\/(-8). Let f = -1.1 + 0.8. Sort f, -5, i in increasing order.\nAnswer: -5, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 16776?\nAnswer: 16771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-130)\/3)\/((-11)\/(-33)). Let h = r + 62. Let k = 106 + h. What is the remainder when k is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694838 less than 1164089?\nAnswer: 469251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(-2 + (-4)\/6). Let b = -32 - a. Solve 1\/3*f**3 + 2\/3*f + b + f**2 = 0 for f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-516)\/(-1677))\/(7 + 558\/(-78)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {r: 1, s: 1, i: 1, w: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 264229096 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1607*u**2. Let j(z) = -318*z + 7. Give j(h(l)).\nAnswer: -511026*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -620305415 + -20?\nAnswer: -620305435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -93705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1056263*t**5 - t**4 - 3*t**3 + 4992598*t**2.\nAnswer: 63375780*t**2 - 24*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*y + 3*r - 36, 3*y = -5*r + 72. Let o = y - 21. Solve 11 = -o*t + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32650 divided by 2?\nAnswer: 16325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**6\/360 + 8*m**4\/3 + 20*m. Let h(x) be the third derivative of r(x). Let w = 2 + 1. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -20 + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/12 - 4*s**3\/3 + 6*s**2 + s. Let d be p(8). Let u = -4 + d. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*b - 200 = -4*l, -5*b = -2*l + 92. Solve -4*z - 16 = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**4\/4 - 4*y**3\/3 + y**2 - y + 25. What is h(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36620 (base 13) to base 10.\nAnswer: -99905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931) + -1))*1 + (1 + sqrt(171))*-6.\nAnswer: -18*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, c: 1, q: 11}. Give prob of picking 1 d and 3 q.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400487307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -394 or -894?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-687))\/(1060\/(-636))*10.\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**3\/3 - 3*j. Let w(d) = -814*d + 88. Let h(s) = -28*s + 3. Let a(k) = 88*h(k) - 3*w(k). Give b(a(v)).\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 5*g - 8, 4*g + 8 = 0. Which is smaller: -50 or j?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 4. Let c(h) = -6 - 7*h - x*h + h - h**2 - h. Let v be c(-10). Solve -3*t - t = v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5892871.\nAnswer: 1493, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12512 by -184.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -4 (c) -0.11659 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5427*c - 48806. Calculate t(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:43 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3 + 24046*i**2 + 3*i - 141972.\nAnswer: -3*i**2 + 48092*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 1. Suppose -11*g + 9 + 46 = 0. Let u(o) = o**3 + 10*o**2 - 5*o - 12. Let j(k) = g*p(k) - u(k). What is the tens digit of j(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30848852?\nAnswer: 2, 7712213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 2. Sort g, -1\/6, -1 in increasing order.\nAnswer: -1, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*w - 355 + 355)*(10*w - 4*w + 7*w)*(1 + 0 + 1).\nAnswer: 1898*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n + 13. Let q(d) = -3*d + 7. Let a(v) = v**3 - 16*v**2 - 34*v - 41. Let r be a(18). Give r*q(z) + 3*i(z).\nAnswer: 3*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.06 - 0.04. Let i = y + 0.8. Let s(n) = n**3 + 6*n**2 + 6*n. Let z be s(-5). Sort -0.5, z, i in descending order.\nAnswer: i, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20600 + -12817. List the prime factors of b.\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 11}. What is prob of sequence ewew?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 4*b - 5. Let f(w) = w**2 - 5*w - 7*w + 14 - 7*w**2 + w. Determine 4*f(n) + 11*r(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 9*r - 12*r - r.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = 14*f. Let g be (f - (0 + 0)) + (-30)\/(-10). Suppose 5*u - 44 = -j, -2*j = -g*u - 22 - 105. List the prime factors of j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6300444 (base 7) in base 6?\nAnswer: -24114303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053567 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 224 + 3*t**2 - 225 + 2*t**2 + t**3 - 3*t**2 - 19*t**4 to c + i*t**2 + o*t + b*t**4 + r*t**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1548 and 17714968.\nAnswer: 159434712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-53))\/((-822)\/(-21783)). Solve 1\/2*t**3 + 0 + 0*t + t**w = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -560762915\/918 - -610853. What is the common denominator of k and 43\/1428?\nAnswer: 12852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 158. Which is greater: i or -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 - 600*d + 20702. Give k(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6*y = 21. Sort -1, 31, y.\nAnswer: -1, y, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12403 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1464780 and 23\/390608?\nAnswer: 5859120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 7. Let d be s\/(-6)*(-3)\/(-12). Let n be 1*(3 + 141\/(-45)). Which is the second smallest value? (a) d (b) -1\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.233846 rounded to 3 dps?\nAnswer: -7.234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(18) + (sqrt(18) - (sqrt(162)\/(sqrt(36)\/sqrt(4)) + sqrt(18))))\/sqrt(9) + (sqrt(22) - 5*sqrt(198))\/(sqrt(891) - (sqrt(891) + -1*sqrt(891))).\nAnswer: -14*sqrt(2)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 + 1?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7330.99ng to milligrams.\nAnswer: 0.00733099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c9 - 17bc?\nAnswer: -16e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 58*o + 292. Let j(q) = 28*q + 146. Let l(b) = -5*j(b) + 2*x(b). Let m be l(-6). Sort m, -5.7, 4 in ascending order.\nAnswer: -5.7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 - 5727498*g - 8201058335001 = 0 for g.\nAnswer: -2863749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2381*o**2 - 886 + 379 - 1533*o**2 - 837 wrt o.\nAnswer: -7828*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.999603 rounded to 3 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -333112311 (base 4) to base 16\nAnswer: -3f5b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16.5, 41.8, 0.5 in decreasing order.\nAnswer: 41.8, 16.5, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -775, -475, -175, 125?\n\"Answer: 300*q - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8786.285 millimeters?\nAnswer: 8786285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368*312.\nAnswer: 114816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1347*d + 1125 + 127 + 1339 wrt d?\nAnswer: -1347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/5 + 55634*o**3\/5 - 88994*o**2 + 723046*o\/5 - 333708\/5 = 0.\nAnswer: 1, 6, 27809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 7 + 13. Suppose -3*c - 2*c = -s. Solve -2*a - c = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/(-44) - (-2039)\/(-36). Let q = n + 58. What is the third biggest value in 4\/7, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20\/19 + 206\/57. Put -4\/3, 2\/3, 3\/5, c, -1\/7 in decreasing order.\nAnswer: c, 2\/3, 3\/5, -1\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeoeekeiuee. What is prob of picking 2 e and 1 u?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10320*b*h**4 + 5*b*h**2 - 4232*b wrt h.\nAnswer: 247680*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*k - 26 - 86, 3*n + k - 128 = 0. Let q = n - -29. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 2 = -14*h. Find the first derivative of 0*a**4 - a**4 - 3*a**4 - h wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1015 - 2?\nAnswer: -1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = x - 0, 5*y - 1506 = -3*x. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -454685 divided by -5?\nAnswer: 90937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 26. Suppose 4*m + v - 56 = 0, 2*v - 13 = -4*m + s. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z + 6*z + 3*z - 2 + 2 + 2*z + 6*z - z - 4*z + (3 - 3 + z)*(-1 - 5 + 4) - 5*z + 2*z + z as w*z + l and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + (-20664)\/5535.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 156510?\nAnswer: -3\/17390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -38. Let r(d) = -d - 6. Let i be r(-4). Sort -3, i, a, 2 in ascending order.\nAnswer: a, -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 + 124*r**2 - 167*r - 286 = 0.\nAnswer: -26, -1, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x + 0*x + 3*x - 1 + 1 - 2*x + x + 3*x + 1 - 1 + x + (-3 + 1 + 1)*(0*x + 3*x - 4*x) - 4 + 4 + x - x + 4*x - 2*x - 5*x - 24 + 24.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10816 by -2704.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 z, and 1 d when four letters picked without replacement from dgrzgzgggrggrr?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (11 - -28 - 23).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2284114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:33 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q. Suppose 4*b - 2*b - 16 = q. Suppose -3*g - d + 25 = 0, -2*g = 5*d - 3 + b. Calculate the lowest common multiple of g and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.98 to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232326 - -35?\nAnswer: -232261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 2*p**2 + 3*p**3 + 3*p**3 + 16 + 0*p**3 as h*p**2 + x + l*p + m*p**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91216 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84748 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {h: 1, a: 1, x: 2, l: 1, t: 2, d: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqqaqa. What is prob of sequence aaaq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-13 - 2) - 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*w + 42 = 960*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/3, 26, 4\/13, 2, -0.1104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - 27?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2393 is divided by 617?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - -1322. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 433566562 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-14))\/((-40)\/(-560))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v - 4*v - 5*v - 5*v - 1 + 22*v. Let b(k) = -k + 7. Let y be b(0). Determine n(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -30*h - 194. Let y(b) = -7*b + 3. What is -r(z) + 4*y(z)?\nAnswer: 2*z + 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*o**2*z**4 - 4*o**2*z + o**2 - 2*z**4 + 23*z**3 + 22*z**2 wrt z?\nAnswer: -288*o**2*z - 48*z + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -12333?\nAnswer: -12342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*c - 8*c. Let o = -11 - c. Suppose -o*t + 7 + 18 = 5*i, 4*t = -4*i + 20. Sort 4, i, -6.\nAnswer: -6, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-15)*3)\/(-3). Let d = -10 + 8.96. Let t = d + 0.04. Sort 1, r, t in ascending order.\nAnswer: t, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 10*y**3\/3 - 2*y**2 + y + 1. Suppose 6*k - 4*k = 6. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + q + 76 = -0*q, q = 3. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 12:19 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1)\/(-1) - -6. Suppose -w*c + 24 = j - 31, 20 = 4*j. Suppose 3*x + 630 = c*x. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afajddoajooddo. What is prob of sequence jfj?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1346 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2 + 3. Which is the biggest value? (a) 3\/7 (b) -0.06 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*j + 1923 = 1911, 2*j - 4 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-12) - 0) + (-7250)\/2900)*14\/24\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from wwggwwwwwwwgwwwlwwgg?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.4394386 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:36 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-5))\/(-3))\/(4\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3394019\/354156 + 2\/29513. Let c be (-6)\/(-4)*(-721094)\/(-54). Let q = c + -20025. Find the common denominator of i and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166996729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 22*p + 102. Let t = 30 + -77. Is a(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 1\/20*n**5 - 33*n + 5\/6*n**3 - 1\/2*n**4 - 1 - 6*n**2. Calculate u(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**3 + 45*b**3 + 7*b**3 + 117*b**3.\nAnswer: 145*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoyzz. Give prob of picking 1 o and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -4*q - 28, -4*q + 35 = 5*h. Let p be (-1)\/(6 - (-2331)\/(-387)). Suppose 6 = h*x - p. Sort 0, x, 5 in descending order.\nAnswer: x, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14257 * -0.4\nAnswer: 5702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 9. Let o be 51\/12 + -4 - 161\/(-28). Suppose -5*l + 16 = 6. Solve -l*v + o*v = -p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/7, -0.5, -5, -19, 3\/17 in descending order.\nAnswer: 3\/17, -0.5, -5, -58\/7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Let m = 63 - i. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1736244 and 31824?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/(-8)*(-24)\/(-64).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/2)\/((-24)\/(-16)). Let p = 8 - d. Suppose -12\/5*c**3 + p - 7\/5*c**4 + 2\/5*c - 3\/5*c**2 = 0. What is c?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(432)*-2*-4)**2*-4 - 1*(-4 + (sqrt(432) - sqrt(432)*3*3 - sqrt(432)))**2.\nAnswer: -145601 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 5563845.\nAnswer: 72329985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7469, 14931, 22393, 29855, 37317, 44779?\nAnswer: 52241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23848908.\nAnswer: 2, 3, 211, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/48*(-4)\/4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.62286l to millilitres.\nAnswer: 44622.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/52? (a) 0.064 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-540)\/14 - (-60)\/(-140). Let o be 12*h*3\/(-27). Suppose 5*s - 43 = o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k - 4*k - 2*k + k + 2*k + 1 - 2*k - 1 + (5 - 2 - 5)*(-3 + 3 + k) + 4*k - 4*k + 2*k)*(-2*k**3 - 4*k + 4*k) + 6*k**4 + 3 - 3.\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006577 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 9 = 55*o - 50*o, 5*o - 1 = 3*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2994 in -1, -0.5, -1634, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7054*k**2*w**2 - 12324*k**2*w + k*w**2 - 23*k*w - 525*k - 77*w + 9 wrt k.\nAnswer: 14108*w**2 - 24648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2102 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 388, 395, 412, 445, 500, 583?\n\"Answer: u**3 - u**2 + 3*u + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -66, -71, -54, -9?\n\"Answer: s**3 + 2*s**2 - 34*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*189\/420)\/(15\/560*7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*s + m = 109*s - 7, 5*s + 2*m - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 12*k**3 - 4*k + 7*k - k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.106 and 0.08211?\nAnswer: 2.02389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/1362141 + 2202859\/74766406. Find the common denominator of -6\/7 and u.\nAnswer: 31122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 100 - 32)*((-5*g + 3*g + 4*g)*(-13*g**3 + 30*g**2 - 30*g**2) + g - g - 3*g**4) to the form y*g**2 + s + p*g + r*g**4 + v*g**3 and give r.\nAnswer: 4611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 4*i**2 + 61 + 4*i**3 - 2.\nAnswer: 4*i**3 + 8*i**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2236237461 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 4*i**2 - 1\/3*i**3 - 9 - 8*i. Let a be u(6). Solve h + a*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -858 (base 13) to base 15\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 770.3521 to the nearest integer.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 316631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = -25*c - 40 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 66. Let q = p + -43. Let c = -30 + q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -aac?\nAnswer: ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 315, 660, 1141, 1758?\nAnswer: 2511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19849, 79361, 178503, 317239, 495533, 713349, 970651?\n\"Answer: -6*h**3 + 19851*h**2 + h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7664 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 740*l - 739*l + 1479*l - 11.\nAnswer: -3*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by (75\/30)\/(5\/12) + 26.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l - 24. Let c be (l\/8)\/((-1)\/(-4)). Let p = -12 + 13. What is the closest to p in -0.5, 4, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 22*h**2 - 5*h + 28. Let p(w) = -27 + 34 - 4*w + 30. Let j be p(8). Is u(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 8*a + 196 = 0. Suppose -a*i = -31*i. Solve i = 5*x - 0*x + 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:07 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.14 - -2.86. What is the third biggest value in 8, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2. Let a(v) = v + 1. Let h(w) = w + 1. Let k(y) = 3*a(y) - 2*h(y). Suppose 31*g - 909 = -1157. Determine g*k(b) + 4*u(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 + -6 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t - 6. Calculate k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3 - 2*o + 4*o + (1 - 1 + 2)*(3*o - 2*o + o) - o + 3*o + 3*o to a + p*o and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00053857052 to 7 dps.\nAnswer: 0.0005386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 25*r**2 + 54*r - 38. Is k(-18) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 75787?\nAnswer: 21\/75787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3 - 12, -3*r + 5*p = -87. Suppose 4*q - 33 = 3*i, 3*i + 15 = 5*q - r. Let u(c) = -c + 1. Let b be u(0). Put b, 4, q in descending order.\nAnswer: q, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 + 35\/(-4). Let b = w - -29. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -203023 (base 4) to base 14\nAnswer: -b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**6\/30 - 7*q**5\/10 + 97*q**3\/6 - 4*q. Find the second derivative of l(s) wrt s.\nAnswer: 12*s**2 - 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209853?\nAnswer: 3, 7, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*r - 73*r = -234480. Solve r*b - 972*b + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + n**2 - 4*n**2 + 2*n**2 + 2 - 6*n**2 - n**3. Let w be a(-6). Factor -f**w + 2*f**3 - 6*f**3 - f**4 + 3*f + 2 + f**3.\nAnswer: -(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 121, 183, 245, 307, 369?\n\"Answer: 62*s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/15)\/(4\/10). List the prime factors of a\/7 + 12\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-4))\/(24\/480)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 16, 131, 396, 871?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:11 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 251 - 251 - 36*v + (2 - 6 + 7)*(v + 5*v - 4*v) as s + x*v and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10218*d + 6101*d + 14850 = 1469*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 149. Suppose -5*g + 13 = -2. Sort o, 2\/7, g.\nAnswer: 2\/7, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520827*u + 560 = -520855*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 661 = -112*k + 761, -k + 4*y + 13 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103d710 (base 14) to base 11.\nAnswer: -4377533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*z = -683*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6\/11)*r)\/r**(-1\/2))\/(r**(-2\/5)\/r**(4\/13)) assuming r is positive.\nAnswer: r**(2377\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*f + 209, 6*x + 4*f + 0*f = -254. Put x, -4, -3 in increasing order.\nAnswer: x, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16098207 is divided by 16098203.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*i + 78 - 78)*(-4 + 1 + 2 - 2*i**2).\nAnswer: -60*i**3 - 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -763*o**2 - 2 - 2*o**3 - 71*o**4 + 67*o - 69*o + 0*o**3 + 765*o**2 to the form a*o**4 + t*o**2 + u*o + h + s*o**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 6*i - 3. Suppose 9 = 3*l, l - 25 - 2 = -4*g. Determine b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, t: 2, d: 2, h: 10}. Give prob of sequence dht.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 20. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 16520651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -307383566 divided by -43911938\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36132, -72183, -108154, -144045, -179856, -215587?\nAnswer: -251238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((48\/(-210))\/((-4)\/56)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i + 2*t, 0*i - 2*t - 8 = -3*i. Suppose -l - y + 72 = 0, 5*y + 80 + 50 = 2*l. Let d = l - 71. What is the closest to d in i, -1\/6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 2, -23, -46, -61?\n\"Answer: l**3 - 8*l**2 - 4*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 1679?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -194 - -2?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsoystsotsisyyogioy. Give prob of picking 2 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 5:19 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477852069?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -104?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3536 rounded to 1 decimal place?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 5*c**7\/42 + c**6\/6 - 3*c**5\/2 + 5*c**4\/6 + 25*c**3\/6 - 15*c**2\/2 - 129*c - 5. Factor r(d).\nAnswer: 5*(d - 1)**3*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 0*k**2 - k**3 - 2*k**2. Let w be s(0). What are the prime factors of w + 0 - (-6 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7258, -28977, -65148, -115771, -180846, -260373, -354352?\nAnswer: -462783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 21. Let y be r(-10). Let z(g) = -g + 19. Let x be z(y). Let d be 7\/x + (-5)\/25. What is the smallest value in d, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1397 + -1401. Which is the nearest to 19? (a) -0.3 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 335*a**2\/2 + 2296*a.\nAnswer: a*(a - 656)*(a - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**3 + 8023*j**2 + 25*j + 37730. Let l(f) = f**3 + 1337*f**2 + 4*f + 6288. Let c(q) = -25*l(q) + 4*o(q). What is the derivative of c(r) wrt r?\nAnswer: -3*r**2 - 2666*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3353.999543 - -3354. What is b rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8517961 to the power of 1\/2, to the nearest integer?\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 42*d**3 + 5795*d + 2 - 5795*d + 17*d**3 to t*d + r + y*d**3 + f*d**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.93 + 0.07. Let y = -2\/11 - 7\/22. What is the nearest to -1\/4 in -0.1, j, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604 divided by 1339?\nAnswer: -604\/1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 31. Put -4, -3, -5, i in increasing order.\nAnswer: -5, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2 + -11 - 4. Let k = o + 21. Let p = k - -6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416144170 - -0.7.\nAnswer: -416144169.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5919 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - 86 + 258 + 7*o**2 - 106.\nAnswer: 7*o**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 34*p + 141. Let j be c(5). Solve 13*q - 34 = -j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q + 2 = 0. Suppose 2*b - 14 = -2*k - 2*b, 4*k - 78 = q*b. Suppose 2*m - k = -1. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7. Suppose 0 = -r + g + 9. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8*l = -16, -4*i = -6*l + 5*l + 2. Which is the nearest to 5? (a) i (b) -4 (c) 2\/5 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/((-132)\/275)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = -10. What is the tens digit of (-6)\/10*45*l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:15 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4363 - 545366\/125. Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93.72 - -94. Let i = 0.01 + -0.49. Let z = u + i. What is the nearest to z in 0.3, 0.4, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15) + 860\/100?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64\/11, -0.03, -2\/3 in descending order.\nAnswer: -0.03, -2\/3, -64\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w - 4. Let v be k(-7). Let q = 31 + -44. Let x = q + v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -12, -1\/6 in descending order.\nAnswer: 4\/9, -1\/6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047043 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/24 and 143\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16091, 8, -0.1, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(432) + -2 + (2*sqrt(432) - sqrt(432)))**2 + -4 + -5)*6*-2.\nAnswer: -21216 + 4032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 3 = 4*u - 3*k, 3*k + 3 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**13\/(n**20*n) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -801, -1315, -1777?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*(2 + sqrt(325))**2.\nAnswer: 40*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 13. Let w(c) = c**3 - 9*c**2 - 3*c + 9. Let b be w(f). Let j = 142 + b. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (29 - 27 - 4 - 5) - 114.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(-5\/4) assuming b is positive.\nAnswer: 1\/sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:13 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5953329 to 4 dps.\nAnswer: 0.5953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 102 = -3*t - 78, 4*t = 16. Let p be (6\/2)\/3*13 + 3. Solve 3*s + 4*f - b = s, p = -s + 4*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25726 - 2.\nAnswer: 25724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 1:06 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = 30. Let a(w) = -w**3 + 5*w**2 + 5*w. Let p be a(g). Let n = p - -12. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f + 125 = 0. Suppose -5*w - 5*j = -35, w + 4*w - f = 5*j. Suppose 0 = 5*i - 4*i - w. Solve 3*q = -0*q - i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(12627\/(-168360))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25465, 29320, 33175?\n\"Answer: 3855*b + 21610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4*i - 2*i)*(18*i - 35*i + 49*i) + (-150 + 12*i + 150)*(i + 3*i - i).\nAnswer: 100*i**2 - 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.2 in 2\/13, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25576889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2. Let k be w(2). Suppose 9*o - 4*o - 6 = k*d, 0 = d + 4. Let c = o + 5. Solve -3*i + 6 = 3*h, 3*i + 12 = -c*h + 6*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 26 = 5*s, 0 = -3*r - 0*s - 2*s + 2. Let p be -1 - (2 - (-10)\/r). Suppose 3*n - 42 + 15 = 0. Solve -z - n = p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*s - 20 = -2*y + 96*s, 0 = -5*y + 3*s + 58 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-1)*((-5)\/30)\/((-26)\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2. Suppose -2*t + t = 5, -5*d = -t - 155. Let r = d - 25. Let f(v) = -r*v - 123 + 123. Calculate j(f(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*x - 761 = 0, -31*s = -36*s + 3*x + 3784. What are the prime factors of s?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 66\/1443185 and 59\/5365.\nAnswer: 1443185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4764223*a - 126 + 126.\nAnswer: -4764223*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224485 is divided by 1795.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2 + 52*b**3 + 9774 - 3*b**2 - 9893 wrt b?\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1451 - -1471. What is the second biggest value in i, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in -4.469, -1, -9, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(3\/(-18)). Let a be -7 - (-2)\/(b\/6). What are the prime factors of ((-147)\/14)\/(3\/a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 - (5 - 65\/9). Let g(x) be the third derivative of -1\/12*x**4 + 0*x**5 + 0 + x**u + 1\/6*x**3 + 0*x + 1\/60*x**6. Calculate g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t + 15. Let x be w(-15). Suppose x = 5*q - 0*q. Suppose -5*j = -2*r + 84, r = 2*r + 2*j - q. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 - -58. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2981 - -3065. Calculate the least common multiple of t and (-32)\/(-2 - 15\/(-9)).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(25\/6 + -4). Is (h + -5)*9\/6 - -256 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 32. What is the remainder when 170 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3*y)\/y)\/y**10)**(-2\/7)*(y**1*y\/(y\/y**4))\/(y**(-5)*y*y*y**(-7)) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33303335203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 6 in decreasing order.\nAnswer: 8, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0502 + -0.2431. What is t rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/7*14\/(-3). Suppose l + z = 5*l. Let j = 13 + -8. Solve 3*x - 16 = j*v, l*x + 0*v - v = -10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 6\/7*c**5 + 0 + 22\/7*c**4 + 16\/7*c**3 + 0*c - 8\/7*c**2 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -307*v - 4291. What is the remainder when 618 is divided by r(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 4. Suppose 1192*q - 84 = 1185*q. Determine z(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(4*(sqrt(16) - sqrt(4))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 2, -13 in descending order.\nAnswer: 4, 2, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*s = -2*g + 7, -2*g = -s - 5. Suppose 4 = g*w - h, 4*w - 5 = w + 2*h. Let n(y) = 5*y + 95. Let j be n(-20). Sort 2, w, j in descending order.\nAnswer: w, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from {g: 2, f: 6, o: 9}?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = 0. Suppose i = 2*p - 18 + 2. Let c(o) = o**2 - 8*o + 6. What is the units digit of c(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -323, -466, -609?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8223319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r = 15*w + 58*r + 179, 2*r = 9*w + 149 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-104)\/(-28) + -1. Let y = -7 + 3. Which is the nearest to 1? (a) n (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, -0.3, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 4 = 0. Suppose -x*c + 5*c = 12. Let d(j) = j - 6 + 2*j + j. What is d(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1516, -1469, -1422?\nAnswer: -1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 171\/203 + -12\/29. What is the second biggest value in 4, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -14*t. Let h be o(0). Let x(a) = a**3 + a**2 + a + 14. Let d be x(0). Suppose h*c = -3*g + c + d, -3 = -g + 2*c. Solve -g*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -3, 3 in decreasing order.\nAnswer: 42, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:02 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 3?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 11:45 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2. Let b(i) be the second derivative of 43*i**4\/12 - 35*i + 4. Give b(t(x)).\nAnswer: 688*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*x - 3 - 5, 3*q = -4*x + 10. Solve 7 + q = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -23. Let p = t + 44. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2152359*c**2*t**2 + 173003*c**2*t + c**2 + c*t - 7 wrt t?\nAnswer: 4304718*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 + 100*r**2 - 430*r + 102. Determine x(-54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/((-18)\/(-1440)). Let n(x) = 65*x + 54. Let o be n(10). Calculate the greatest common divisor of t and o.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkhqqqhhqokhqqqh. Give prob of sequence qq.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4\/3 - 180*k**3 - 4985*k**2\/3 - 2730*k + 13720\/3 = 0. Calculate k.\nAnswer: -98, -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3288126735 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2132 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/19)*j**19 assuming j is positive.\nAnswer: j**(358\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33 = 4*b, -5*y + 28 = -2*b + 1. Let x be 1*(-1 - (5 + b)*3). Solve -5 = -x*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 95.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/269 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -14 + 2. Let g be 1 + (-1 - l\/4). Is g\/7 + (-155)\/(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52325 and 1150.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 519*d + d**2 + 527*d + 5*d**2 + 515*d - 1529*d.\nAnswer: 6*d**2 + 32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22354343 (base 6) to base 15\nAnswer: d79e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 1\/4, 3 in descending order.\nAnswer: 3, 1\/4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69621 by -24.\nAnswer: -23207\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -130.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {v: 2, b: 3, h: 1, y: 1, z: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o - 1 + 6*o**3 - 5*o**3 + 2*o + 4 - o**2. Let g(x) = -x**3 + x**2 + 4*x - 3. Let j(c) = -2*g(c) - 3*i(c). What is j(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d. Let k(l) = -l. Let q(i) = 12*k(i) - 4*o(i). Let h(w) = 3*w**2 - 2*w + 2. Let p(v) = -v**2 + v - 1. Let m(t) = -h(t) - 2*p(t). What is q(m(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j + 4*y + y, 24 = 2*j - 5*y. Suppose -5*h = -j*h. Determine r so that 10*r**3 + h - 17*r - 5*r**5 + 0 + 12*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -13*t + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2490, -4940, -7390, -9840, -12290?\n\"Answer: -2450*q - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 25 = -3*h, b = 3*h - 111 + 88 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-36)\/25)*(4\/10)\/1?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-48)\/(-18))\/(1\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 224842002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -175*o - 21. Let v be 8\/(-3)*15\/20. What is the hundreds digit of l(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 40 + (-50160)\/(-825)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 3279 = 8348. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 186497, 373517, 560527, 747527, 934517, 1121497, 1308467?\n\"Answer: -5*q**2 + 187035*q - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j + 13\/2*j**2 - 123. Let z(l) = -3*l. Give z(w(i)).\nAnswer: -39*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - 0.3. Let o = -958 + 953. What is the nearest to f in -2\/17, -0.5, o?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*m - 24 = -z, -3*m = -12. List the prime factors of 39\/4 - (-1)\/z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/4)*x)**(-36)*x**(-3\/11)\/x*x*x*x*x*x*(x*x\/(x\/(x*x**(7\/4))))\/x*x assuming x is positive.\nAnswer: x**(-2443\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 137*c**2 + 18*c - 46. Suppose 3*d - 4*s - 9 = 0, -3*s - 12 = d - 15. What is the units digit of m(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/7740 and -79\/2955648.\nAnswer: 44334720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3818927 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 32146589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7029 - -7020. Let f(b) = b + 21. Determine f(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than or equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/12 + 3)*0. Let x be 12 + (l - 3) + 1. Let p(g) = 2*g**2 - 21*g + 12. Let b be p(x). Solve 0 = -5*k + b*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 2. Let x(z) = z**2 + 1. Let r(v) = -b(v) + 2*x(v). Let j(w) = -2*w - 60. Calculate j(r(a)).\nAnswer: -2*a**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24458798 rounded to three decimal places?\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-1058)\/115)\/(6\/(-20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 + 1124 + (-1 + -13 - 0) - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Let j = 152.7 + -154. Which is the smallest value? (a) j (b) -2\/21 (c) i (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 34*w - 13*w - 33*w + (6*w - 5*w + w)*(3*w**3 - 3*w**3 - 2*w**3) + 6 + 16*w**4 - 7*w**4 + w**2 - 5.\nAnswer: 2*w**4 + w**2 - 12*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/((13\/364)\/(12\/16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/49080 and 1\/1008594.\nAnswer: 20171880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 4, v: 2}. Give prob of sequence gvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - 1 - 44*k - 2*k**2 - 27751*k**4 + 17*k + 27752*k**4 to the form d*k**3 + c*k + b*k**4 + z*k**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420732 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 75? (a) 1\/2 (b) 12 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46 and 0.032358.\nAnswer: 46.032358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -16*s + 310. Let q be i(18). What is the greatest common factor of q and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 74698247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 41*t + 20. Let r be l(20). Suppose 0 = 3*a - 6, r*a - 13 = -j + 2*a. Suppose j = -o + 146. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 557*i - 3423. What is the least common multiple of 697 and h(7)?\nAnswer: 19516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-5) - (90\/(-25) - -4). Which is smaller: r or -5\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/93 in 4, -7.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3 = -i. Suppose i*j = -3 - 0. Let l(t) = -5*t. Is 3 a factor of l(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**2 - 5*o + 6. Let j(i) = i - 12. Let f be j(10). Let d(a) = 2*a**2 - a. Let b(x) = f*d(x) - s(x). Calculate b(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 51 = -5*c - x, -2*c + 28 = 5*x. Suppose 4*f = 5*i + 17 + 36, 2*f = -i + c. Which is bigger: 9 or f?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2676*j + 5095*j - 2841*j.\nAnswer: -422*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392272883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 552 and -2.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1373985 and 8835.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 321*h + 337. Is d(36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000072588476 rounded to 7 decimal places?\nAnswer: -0.0000726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3217551?\nAnswer: 3, 1072517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3175 (base 14) to base 12.\nAnswer: -4b2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1141.9999898 + 1142. Round x to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -3*c + 27, 3*r = -5*c + 18. Suppose -135 = -c*w + 3*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*z - 4*k, 2*z - z + 2*k - 14 = 0. Let q be (-1)\/(2*(-4)\/z). What is the tens digit of q\/3 + (-96)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 9}. What is prob of picking 3 t and 1 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2335 and -0.1.\nAnswer: -0.12335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 + 35*y**2 - 6 + 12 - 9 wrt y.\nAnswer: 70*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(48)\/(-1*sqrt(12))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337799685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1 - (-12)\/3. Suppose 10 = c*d, 4*k + d + 4*d - 33 = 0. Solve -2*a = -0*a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.029 to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00080481 to five decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 172*v**3 - 3253*v**2 - 7026*v - 3600.\nAnswer: -(v - 150)*(v - 24)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(2\/(-6) + 1). What is the units digit of -2 + t + 0 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3685 - -6558. Let a = v + -1986. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z + 2*z**2 + 3 - z**2 + 0. Let g be k(-5). Suppose 1\/4*v**g + 3\/4*v + 3\/4*v**2 + 1\/4 = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/((-60)\/(-7140)). Let h(k) = k**3 - 35*k**2 + 37*k - 101. Let m be h(v). Which is the second biggest value? (a) 10 (b) m (c) 4\/7 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-21) + 2\/7. Let h be 1\/u - 94\/(-8). Let y = 13 + h. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22552.59ml in litres?\nAnswer: 22.55259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1) - (10 - 12). Let o(m) = 2*m**2 + 2*m - 3. Let n = -3 - -5. Let h(a) = -a**n + 2 + 3 - 3*a - 2*a**2. Determine g*h(v) + 5*o(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08790824124 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9 + (-4203)\/(-432))*122\/427 and 2\/(-5) + 1587\/1080?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 + n**4 - n**4)*(2*n + 0*n - 6*n) + 4*n**5 - n**5 - 5*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.3. Let g = 33.7 + -34. What is the third biggest value in -0.4, 1, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -382*z**2 - 392*z - 10.\nAnswer: -2*(z + 1)*(191*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14297324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y - 11. Let q(n) = -n - 1. Let j be 2 - (13\/26 + 10\/(-4)). Suppose 0 = -j*m + 4*g - 6 + 30, -4*m + 5*g = -24. Determine m*q(x) - a(x).\nAnswer: 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.162512ms in seconds?\nAnswer: 0.008162512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -36.7. Let n = m + -4.3. Sort 1, -13, n in descending order.\nAnswer: 1, n, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4133742.\nAnswer: 2, 3, 688957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 4\/7, -5\/3, -0.21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36856425 to the nearest integer?\nAnswer: 6071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/15)\/(8\/(-60)). Let g = r + 15. Find the third derivative of g*x**2 - 68 + 8*x**4 + 68 wrt x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-7)*p**(-1\/35)\/p*p*p*p)\/(p**10*(p*p**(-12)\/p)\/p) assuming p is positive.\nAnswer: p**(489\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-8596)\/98. What is the first derivative of -n - 26*o**3 + 33 + 26 + 35 wrt o?\nAnswer: -78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1199 times -306\nAnswer: -366894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -15*u + 18*u - 11, -2*y = -u + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.1 (c) -0.8 (d) -1580\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -20 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 88*n**2 + 484*n = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - (-34)\/3. Suppose -h - h - c = 0. Let i be 2\/h - 26\/(-6). Solve i*t - 8 = -0*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640 (base 16) in base 8?\nAnswer: 33100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p**3 - 4*p**2 + 5. Let c(o) = 11*o**3 + 3*o**2 - 4. Calculate -6*c(v) - 5*t(v).\nAnswer: -16*v**3 + 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = 2. Let z = -861 - -861. Suppose d*o + z*x = -3*x + 37, -2*o + 33 = -x. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693806385 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 11*g**6\/40 - g**4\/24 + g**3\/6 - 9*g**2. Let l be b(1). Suppose 14*k = 40 + 436. Is l at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30375\/7 or -4338?\nAnswer: -4338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 36 = 20*f. Let q = f + 11. Let d(r) = -4*r**2 - 2*r. Let x be d(q). Sort 5, x, -3 in increasing order.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {b: 4, i: 2, g: 1, q: 1, e: 1, r: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-90)*18*-200. Let j be (-6)\/15 - 22\/(-5). Solve j*y = -4*m, 3*y = -y + 4*m - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -3 - 6\/5. Let d be -3 - 1 - 1*-4. Suppose 13*c - 9*c - 20 = d. Sort r, c, -0.4 in increasing order.\nAnswer: -0.4, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3\/3 - 2*d**2 + 4*d - 3. Let w be n(-3). Let k(u) = u**2 - 6*u - 2. List the prime factors of k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 4 = 3*u + 3*f, 0 = 3*f - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/884 and 125\/7176?\nAnswer: 121992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13581.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(144) + sqrt(144))\/sqrt(192) + (2*6*(sqrt(5808) + (sqrt(5808) - -1*sqrt(5808))))**2.\nAnswer: -7*sqrt(3)\/2 + 7527168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 0.4, -6, 6\/7, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r - 44 = -y - 56*r, 0 = 3*y - 3*r - 42. Sort -3, 4, 2, y, -86 in decreasing order.\nAnswer: y, 4, 2, -3, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 600746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 36*b**2 - 62*b + 557. Calculate the remainder when h(7) is divided by 375.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.89 - -3.99. Let d = -6.3 + 1.3. What is the third smallest value in x, -0.16, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471a68 (base 11) to base 4.\nAnswer: -2312323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(637) + 2.\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 469*u**2 + 419*u wrt u?\nAnswer: 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27121 (base 11) to base 14.\nAnswer: 10195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -5*b, 0 = -2*y - 2158*b + 2162*b + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38075 + -0.2?\nAnswer: 38074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 2:35 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*o - 22 - 19 - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:05 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 6*z - 11. Let r = 129 + -121. Suppose 19 = -3*q - 5*p, -2*p + r = -4*q - 0*q. Let u be (q\/3)\/1 + -7. Give o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 + 15 - (6 - 6)) + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -120. Let b = -530\/7 + i. Let 0 - 2\/7*m**2 + 2\/7*m**4 - b*m + 2\/7*m**3 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (255\/(-60))\/((-19)\/76)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) 2\/13 (b) -0.5 (c) -0.1 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*b + 28, 3*m = 5*b + 4 + 4. Let u(r) = -8*r**3 - 3*r**2 - 2*r + 16. What are the prime factors of u(m)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 - 16168780*f\/13 + 97012752\/13.\nAnswer: -2*(f - 6)*(f + 8084396)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1 - 175\/(-70).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*a + 12 = 0, -16*a + 3 = 2*w - 13*a. Solve -13*j = -9*j - w*g - 9, -3*j + 3*g = -9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/4 - (-1 + 0). Suppose 3*h - 24 = -4*q - 8, -16 = c*h - 4*q. Suppose -4*f + 13 + 15 = h. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*-2*sqrt(1539) + 5 + sqrt(1539)*3 + sqrt(1539))*-5.\nAnswer: -45 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242) + (sqrt(20)\/(-2*sqrt(10)))**2.\nAnswer: -11*sqrt(2) + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247970169 by -1.\nAnswer: 247970169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.211 - 0.089. Let m = -15.7 - v. Round m to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by -73494?\nAnswer: -79\/73494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 135344 + 6*w**2 + 0*w**2 + 13*w**2 + 135344.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*r = 11, 3*g - 5*g = -5*r - 19. Let p = 46645\/61964 - 43\/15491. Factor 0 + 1\/4*c**5 + 3\/4*c**4 - 7\/4*c**g - p*c**3 + 3\/2*c.\nAnswer: c*(c - 1)**2*(c + 2)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(135) + sqrt(135))*-3 - sqrt(135))\/sqrt(5))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7990008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 871291 greater than 871290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 32620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13341 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*((-2*b + b - 6*b)*(-2 - 1 + 6) + 1 - 1 + 2*b).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106156, -220600, -335044, -449488, -563932?\nAnswer: -678376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 13*r**2 + 4*r - 50. Suppose 52 = 80*u - 76*u. Let n be j(u). Solve 9*x - 7 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 3*v**2 + 2*v + 2. Let o be n(4). Let r = o - -34. Let a(c) = -9*c - 26. Calculate the remainder when r is divided by a(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-44)\/(-8))\/((-58)\/232).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4925220607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0933 plus 32?\nAnswer: 31.9067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 99 = 2*a. Suppose -a = -5*d + 2*d. Let u(n) = -24*n - 331. Let v be u(-14). Solve v*j - 36 = -d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (771\/9)\/((-8)\/(-24)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 24202?\nAnswer: -24177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 68*l - 421. What is p(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*d + 24*d + 150 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 0*n**3 + 17\/20*n**5 - 11*n + 0*n**4 - 7\/2*n**2 + 0. What is the first derivative of w(l) wrt l?\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57251, 229196, 515797, 917060, 1432991?\nAnswer: 2063596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -1, -12, -4, 4, 31 in descending order.\nAnswer: 31, 4, -1, -4, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(2*y - 2*y - y)*(13 + 17 + 0).\nAnswer: -120*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 14*v**3\/3 - 3*v + 17. What is the first derivative of i(k) wrt k?\nAnswer: 28*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 24. What is the units digit of m\/(-10) - 1242\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -2*p - 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/9)\/b)*b)\/b**(4\/5)*b*b\/b**(-8)*b**2\/b assuming b is positive.\nAnswer: b**(584\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13325219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -2?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11132 (base 10) in base 5?\nAnswer: 324012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let g be 29\/(783\/60) - (-2)\/(-9). Let z(q) = -6*q + 14. Let d(a) = -2*a + 4. Let n(u) = -7*d(u) + 2*z(u). Let m = -6 - -5. Give g*l(x) + m*n(x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/418681899 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68796443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - a + 908 = -6*y, -y - 4*a + 212 = 0. Let x = 241 - y. Let g(d) = -d**3 + 12*d**2 + 14*d - 5. Give g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 15*i - 58 + 12 + 15 + 14 to m*i + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1750 or -1747?\nAnswer: -1750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 3. Let x be z(0). Let j = 8 + x. Suppose j*t = -5*s + 75, s - t = -s + 18. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.5824 litres in millilitres?\nAnswer: 139582.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9784 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 841*c - o = 845*c - 21197, -5*c = 3*o - 26505. What is the remainder when c is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101862275 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-115)\/(-3) - (-14)\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4378 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 5*z + 16*z**3 - 14*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(3 + -2)*-4. Let j be -9 - (q\/(-2))\/(-2). Is 8 a factor of 3\/(j\/(-8) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424*k**6 - 11*k**5 - 2*k**2 - 409*k + 1.\nAnswer: -50880*k**3 - 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618374431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 2*z**2 - 4*z**3 - 3 + 5*z**3 - z - 3*z**3 as t*z**2 + g*z**3 + f + c*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 190*u\/7 + 1212\/7.\nAnswer: -2*(u - 101)*(u + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38111 is divided by 9473?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -2db78536?\nAnswer: 2db78537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6398, -50688, -170894, -404972, -790878?\n\"Answer: -6326*z**3 - 2*z**2 - 2*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 take away -0.28994507?\nAnswer: -539.71005493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/8 and 7\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*p**2 - b*p - 1758*b + 388*p - 1 wrt p?\nAnswer: -4*b*p - b + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/30 - 21*i**4\/8 - 97*i**3\/6 + 2*i**2 - i - 154. Determine b(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 28*z + 201. Let j be n(-7). Let y(l) be the third derivative of 0*l**3 + 0*l + 3\/8*l**4 + j*l**2 + 0. Let d(s) = 2*s. What is y(d(o))?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25 - (3 + (-8)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:35 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z**3 - 840439 + 840439)*(1 - 3 + 4)*(-3 + 2 + 2)*(0*z - z + 2*z).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 + 736. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 42*p**2 - 157*p - 38. List the prime factors of w(-39).\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k**3 + 25*k**3 + 22*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9009.33 nanometers to centimeters.\nAnswer: 0.000900933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345d (base 15) to base 14.\nAnswer: 409b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5398 (base 13) in base 8?\nAnswer: -26541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 991 - 366. Suppose -5*o + p = 35. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -20. Sort -2\/7, -2, b in decreasing order.\nAnswer: b, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3616*c + 151281 - 3025 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90 + 90.000051. Round f to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 740.43.\nAnswer: -3702.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**3 + 15*p**2 + 21*p + 21. Let o(k) = 5*k**3 - 8*k**2 - 11*k - 12. Determine 7*o(w) + 4*s(w).\nAnswer: -w**3 + 4*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -655.649652 and 77572.\nAnswer: 76916.350348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 451 and 6644.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - 6. Let z(l) be the first derivative of -1\/2*l**2 - 1 - b*l. Give z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 700\/(-875)*(-15)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*5 + (8 - 6). Let w = 19 - q. Solve i - w*i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -755 - -755. Let o(v) be the first derivative of -11\/2*v**2 + z*v + 8. Let h(r) = -r. Calculate h(o(k)).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 166\/6 + (-4 - 10\/(-3)). Is (1212 - -1)\/(9\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 3022 - 908. Suppose -15 = 7*o - s. Calculate the remainder when 268 is divided by o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-596 - 3098 + 3538 + 10671 + 10121)*(-2*z + z + 2*z)*(1 - 2*z**2 - 1).\nAnswer: -41272*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58171 divided by -58171.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*o + 117*o = -132*o - 11258 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -1.33?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 1622 = 1582 + 1733 + 6562 for x.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 14 = -3*u, 6 = u - v - 0*v. Let t = 8 - 6. What is the smallest common multiple of t and (3\/1)\/(3\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 725*v - 721*v - m, 0 = 5*m + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 22457380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 2, s: 1, g: 2, j: 1}. Give prob of picking 1 j, 1 g, and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/91 > 919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -168*(10\/(-20) + (-734)\/(-28)). Let n = h + 10769. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5 + 24*u**4 - 70*u**3 + 40*u**2 + 72*u - 64 = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 654429685 by -845.\nAnswer: -774473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -35. Let u be 20\/30*(z - -2). Suppose -5*w - 3*y = -3155, -w - u*w + 2*y = -1893. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -948547668*b**3*n**5 + b**3*n + 95*b**3 + 290479 wrt n?\nAnswer: -18970953360*b**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 7*u + u + 0 + 0 + 8. Suppose -25 = 5*v, -2*v = 2*d + 3*v + 33. Determine z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -281*o - 24 = -275*o - 3*i, -5*o = 2*i - 43 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/355 and 2\/(-71)*((-48)\/(-10))\/((-1869)\/356).\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**5\/3 + 68*n**4\/3 + 424*n**3\/3 + 1160*n**2\/3 + 1300*n\/3 + 500\/3 = 0. Calculate n.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose 2*u - j + 13 = 0. Let p = -2 - u. Solve 6 = -3*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-768*d - 1108*d + 426*d)*(-1 + 1 - 1 + (1 - 2 + 3)*(-1 + 0 + 2) + 5 - 3 + 2 - 3 + 1 + 0).\nAnswer: -4350*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, b: 2, c: 3, j: 1, z: 1, m: 1}. What is prob of sequence cb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 5*v**8\/336 - v**5\/12 - 2*v**2. Find the third derivative of w(c) wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -3030?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = 15. Let g be 5\/((-35)\/2)*q. Find the third derivative of 3*a**5 - 3*a**5 - 4*a**2 - a**6 + 2*a**g wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057226 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/96)\/(2\/24). Let y = -11 - -20. Suppose z*m + 186 = y*m. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 3*c + 3. Let x(k) = k**2 - k - 1. Let j(g) = -o(g) - 4*x(g). What is j(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {o: 1, t: 1, j: 2, m: 1, y: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 10 = 14*o. Let d = 159 + -95. Suppose d = m + o*m. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 9. Determine j(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 - 170. Suppose -4*k + 2*t = -766, 956 = 9*k - c*k - 2*t. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h - 3*f, -4*f - 100 = -3*h + 20. Suppose -80 = -2*a + h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030494056 rounded to 4 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7457.6 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2627\/29 + (-41328)\/(-99876).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 2816625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2214, -2211, -2206, -2199, -2190, -2179?\n\"Answer: b**2 - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q + q**3 + 1384 - 3*q + 4*q**3 + 3*q - 1381 to the form n*q**2 + t*q + i*q**3 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 7.3\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2221?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -25.94. Let m = -0.18 - -0.14. Let v = m - t. Is -0.03 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -38, -39, -38, -35, -30?\n\"Answer: x**2 - 6*x - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 23\/18006845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996158691.\nAnswer: 2996158691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from wmmwww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 25*x**2 + 23*x + 59. Let r be f(-26). Let t(z) = 304 - 8*z - 152 + z**2 - r. Calculate t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) + 111\/21. Suppose -4*r + 16 - 4 = 0. Suppose 0 = m - r*b + n + 1, 5*m - 3*b = 18. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 33*k**2 + k + 37. Let v be d(-33). What is the greatest common divisor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7907 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 59. What is i(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Suppose -l*a - 12 + 36 = 0. Let y(k) = -k - 2. Let s be y(-4). Solve v + s*v + a = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**8\/210 + d**6\/72 + 2*d**3\/3 - 7. Let i(v) be the third derivative of l(v). Find the third derivative of i(q) wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 69\/2 of a second?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150.68 + -152.68. What is the third smallest value in 1\/7, 2\/3, -4, j, 3.04?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, q: 1}. What is prob of sequence aqy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -245 (c) 0.5 (d) -0.23 (e) 3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 193060237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.51, -5, 0.046, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 359 + m - 471 + 582 - 437 - 573 to i*m**2 + n + g*m and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121641 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513150?\nAnswer: 2, 3, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.592 - 3.\nAnswer: -10.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**4 + 5*q**2 + 4*q - 4. Let d(v) = 3*v**4 + 14*v**2 + 11*v - 11. Let a(k) = 4*d(k) - 11*y(k). What is the third derivative of a(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 62007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:46 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x + 5. Let m = 2 + 2. Is (50\/m)\/(x\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {f: 4, u: 1, x: 4, d: 4, i: 3}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 1\/23, 0.07, 18, -5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 100*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-12)\/(-6))\/(-1). Which is the closest to p? (a) 0 (b) 2\/5 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292339179 to the nearest integer?\nAnswer: 35949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 3*v - 2 + 3. Let j be z(-7). Calculate the remainder when j - -4 - (1 - 2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1351 - -1353. Solve o = -2*c + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/360 - j**5\/120 - j**4\/6 + j**3\/3 + 5. Let b(i) be the third derivative of w(i). What is the units digit of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882\/21 + (-4)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -16. Let n(z) be the first derivative of z**4\/4 - 4*z**3\/3 - z - 851. What is n(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1125 - -17.8875. What is the nearest to 0.1 in l, -2, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 6*f - 2. Let d be b(-7). Let s = -30 - d. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 19.638208\nAnswer: -117.829248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 89*g + 78 = -3*i, 199 = 8*g + i for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*q**2 - 7\/5*q - 8\/5.\nAnswer: (q - 8)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 10:33 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*g + 7*u - 15 = -155*g + 2*u + 3 - 6, 0 = -26*g + 4*u - 34 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 2*u - u. Let f(d) be the first derivative of -d**5\/40 + 2*d**3\/3 - 4. Let p(y) be the third derivative of f(y). Determine r(p(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from {x: 2, d: 3, k: 4, t: 1, r: 3, p: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -4*g**4\/3 + g**3\/3 + 16*g - 16. Let t(n) be the first derivative of v(n). Find the second derivative of t(k) wrt k.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1515 and 357909155?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 55 = -3*i - 9*z, 116 = -3*i + 8*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.0537 times -24\nAnswer: -25.2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + (3 - (-4 - (0 + -6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 347*a + 394. Let j be (-1)\/(-12)*(-591190)\/15. Let k = -3283 - j. Calculate the common denominator of k and w(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -3070562898.\nAnswer: -3070562903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 - (-1 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139976565 is divided by 126.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13118.47 millennia in centuries?\nAnswer: 131184.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 6:24 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116550 and 8190.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**8\/2880 - j**5\/10 - 3*j**2. Let n(h) be the third derivative of w(h). Let i(y) = -y**2. What is i(n(t))?\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 23a?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 3\/64, 3, 10, -3, 4\/5 in decreasing order.\nAnswer: 10, 3, 1.7, 4\/5, 3\/64, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4))**(1\/40))**(-47))**(-30) assuming r is positive.\nAnswer: r**(141\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 - -65241?\nAnswer: 65335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 3 - (3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 14 = -3*l, 0*l = 5*x - 4*l + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4160332 is divided by 1386715?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 116*b - 5*b**2 + 4*b**4 - 123*b + 240*b - 7*b**2 - 3*b**2 in the form f*b + y*b**4 + s*b**3 + o*b**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59a (base 13) in base 2?\nAnswer: 1111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddpppdggddgp. What is prob of sequence pgd?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w + 4*n - 16 = 0, 5*n = -w + 14. Calculate the greatest common divisor of w and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*4.4\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 38336793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 6*q**2 - 4*q - 12. Let k be c(5). Let n = k - -90. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(24\/9 + -3). Suppose -h*s + 2*q = -s - 302, 4*q = -4*s + 436. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 6 + 244*f + 177*f - 3.\nAnswer: 421*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 192476.3 years in months?\nAnswer: 2309715.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**3*y**4 - 3334*w**3*y**3 + 489*w**3*y**2 + 3*w*y**2 + 8 wrt y?\nAnswer: -96*w**3*y - 20004*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, d: 2, z: 2}. What is prob of picking 1 d and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 8338*q - 25015\/3.\nAnswer: (q - 25015)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 947056889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29278\/13 + 2249. Let q = 1091\/78 + k. Find the common denominator of q and ((-67)\/(-35))\/(8\/(-20)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359900 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(-2*sqrt(12)) - sqrt(21)\/(sqrt(3) + (-1*sqrt(3) - sqrt(3))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.4 - 43.6. Which is smaller: j or 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2 (c) 1 (d) -328 (e) -4 (f) -1\/8 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -767332 (base 8) to base 13.\nAnswer: -90423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220770 and 9766160.\nAnswer: 9766160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16065.18113 - -16065. Let n = -0.181137923 - c. What is n rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -306, -620, -934, -1248, -1562, -1876?\n\"Answer: -314*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = -k, n + 8 = -n + 4*k. Suppose -2*r + 5*w = 25, n = 7*r - 3*r - 2*w + 10. Solve -7*u + 3*u = r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7618 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-132)\/(-36))*66\/(-4). Solve -z - 1 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 1704331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/v)\/(v**(-1)\/v)*(v**7)**(-5\/6) assuming v is positive.\nAnswer: v**(-71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.057 - 4.943. What is the closest to -1\/3 in 2, k, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -9*h - 16. Suppose 0*a - 2*a + 42 = 0. Is h\/(-28) - (-4005)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 134665.\nAnswer: -26\/134665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 - 2*p + 1. Let t be s(1). Suppose 106 = t*o - 18. Let d = 91\/3 - o. What is the nearest to -1 in d, -2, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q - 1. Let f = -12 + 12. Suppose f*p + 4 = p. Determine s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 1. Let q = 19 - 26. Suppose -4*f = 5*o - 26, 4*f + 4 - 10 = 5*o. What is the least common multiple of o and v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -63, 14, -1\/3 in descending order.\nAnswer: 44, 14, -1\/3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9998 - -15601. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 99*o - 98*o. Which is the second smallest value? (a) o (b) -0.1 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1474 + -1414. What is the greatest common factor of z and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -29. Which is the nearest to 1? (a) f (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69951544 - -69951406.999857. Let g = 0.0715 - -136.9285. Let n = g + a. Round n to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -j**7\/840 - j**6\/45 - 7*j**5\/120 - j**4\/6 - 8*j**3 - 48*j. Let s(u) be the second derivative of h(u). Give s(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"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: Calculate prob of picking 4 r when four letters picked without replacement from {r: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1500 and -13\/1796325.\nAnswer: 35926500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4, -4.6, -1\/4?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - p - 223 = 0, 3*p = -r + 71. Suppose -4*h + 8 = 0, 4*f + h - r = 4*h. Suppose -1 = -3*i + f. What is the remainder when 17 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.176220867 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15785 and 6860?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 104795, 104798, 104805, 104816?\n\"Answer: 2*a**2 - 3*a + 104796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3724 by 39727.\nAnswer: 3724\/39727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 30 + 4 + ((-84)\/30)\/((-3)\/(-30))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 18 - 6\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2182 + 529 = -87*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226433 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -6. Let l be 2\/4*(-6)\/j. Suppose -h = -l*h + 16. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16337.949 months in years?\nAnswer: 1361.49575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112459762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128.718 - 0.282. Let y = w + 128.99. Which is the nearest to -3? (a) y (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -4 in increasing order.\nAnswer: -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5292 = g + 48*g. Is g > 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-990) - 4\/(-18). Let w = -0.3 + -0.7. What is the third biggest value in -3, w, l, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*n + 1999*i**2 + 28*i*n - 2*i wrt i?\nAnswer: 4*n + 3998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1 + 1)*70\/(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12229, 66957, 206671, 473863, 911025, 1560649?\nAnswer: 2465227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 2*f**2 + f + 8. Let o be a(3). Solve 4*r = -o*y + 7*y - 17, -4*y = -5*r - 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 28*m = -5*h + 20, 3*h + m = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -2*q**5\/35 + q**4\/14 + 2*q**3\/21 - q**2\/7 - 8. Factor b(t).\nAnswer: -2*t*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from hhqhhqhhqqhhhqqqhqhq.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-15)\/(-10))*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, -1 in increasing order.\nAnswer: -1, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2547*r**5 - r**2 + 1420*r?\nAnswer: 152820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0.4 in descending order.\nAnswer: 4, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = 18*l - 45 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 23 - (-2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11574*h = -1350*h + 30990 - 677190 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 118) + (1101 - 1078)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 491*z**5\/30 - z**4\/8 - 4051*z**3\/6 - 2*z**2 - 21*z - 3. Differentiate k(c) wrt c.\nAnswer: 1964*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -2\/17 (c) -3\/7 (d) -1 (e) 7.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -189736 times -2?\nAnswer: 379472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 17*g**2 + 9*g + 13. Let s(y) = 33*y**2 + 17*y + 25. Let u(v) = -11*c(v) + 6*s(v). Let d be u(4). Round d to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*s = 1452, 0*s - 366 = -f - s. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 3*v + 1287 - 1347. Let a(g) = -2 + g**3 + 14*g**2 - 27*g**2 + 7*g**2 + 4*g. What is a(v)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01103 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 137*g - 874. What is x(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 12849 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 - -2)) + (6 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*m + 45, y - 5*m + 12 = -9. Let l be 3 + -60*(-5)\/10. Let r be l\/9 + -3 - 240\/(-18). Solve -2*h - r = -y*s + h, -s - 4*h = 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49598?\nAnswer: 2, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9986\/35 - -2000\/7. Factor -i*k**3 - 8\/5*k**2 + 0 - 8\/5*k.\nAnswer: -2*k*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(6\/5)*t*t\/(t*(t\/t**(-3\/4))\/t))\/(t**9*t**(7\/4)\/t) assuming t is positive.\nAnswer: t**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*b**3 + 1559*b - 1559*b + (5*b**2 - 4*b**2 + 0*b**2)*(-1 + 1 + 2*b).\nAnswer: 131*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 14*o + o**2 + 52 + 4*o - 4*o. Let n be k(4). Let s(q) = q**3 - 4*q**2 - 4*q + 1. Give s(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/53 in -2\/9, 1\/5, 0.43?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39026160 a multiple of 3015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:41 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u**2)*(7 - 7 - 157*u).\nAnswer: -314*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = -2. Let j(u) = 0*u + 5*u - u. Let n be j(1). Sort p, n, -2 in decreasing order.\nAnswer: n, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3532*a + 1 - 3532*a + 0 + 12*a**3. Let f(r) = 18*r**3 + 2. Determine -5*f(g) + 8*n(g).\nAnswer: 6*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.057.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-18)*(-30)\/4 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g. Let p(t) be the second derivative of -31*t**4\/12 - 112*t. Determine q(p(z)).\nAnswer: 124*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, 3, 448, 0.05, -3, -134?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -1424, -1784, -2166, -2576, -3020, -3504, -4034?\nAnswer: -4616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (-1 + -1) - (-3970 + 3979).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 486*y**5 + 117*y**4 - 456*y**3 - 147*y**2 = 0.\nAnswer: -49\/54, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7702 in 1\/3, -7, 5, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (46 - -10) + (5 - 12) + -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2 + 6. Suppose -f + 0 = -3*k - 5, m*k + 28 = -4*f. Let w = -4 + 8. Sort w, -5, f in decreasing order.\nAnswer: w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.6913242m?\nAnswer: 691.3242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -297, -1147, -2843, -5667, -9901, -15827?\nAnswer: -23727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 376, 476, 576, 676, 776?\n\"Answer: 100*t + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105654 is divided by 6663.\nAnswer: 5709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = q + 86, -5*q = -3*b + 378. Let l = 81 + q. Does 6 divide (2\/l)\/(3\/297)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 8, 3766 in ascending order.\nAnswer: -16, 8, 3766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 244941913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -32087530 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 12 - 16 + 4 + 0*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 + 3*r**2 - 10. Let j(g) = -g**3 + g**2 + 1. Determine 3*j(n) - x(n).\nAnswer: 2*n**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1063080 + -14889171\/14. Suppose -1548 = -11*u - 6311. Let h = l - u. What is the common denominator of -57\/10 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = x + 5, 17*g - 29*g - 70 = x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -47, -50, -55, -62, -71, -82?\n\"Answer: -x**2 + 2*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 324187*o**4 + 219947*o**2 wrt o.\nAnswer: -60*o**2 - 7780488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1550, 1556, 1572, 1604, 1658, 1740?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 + 382 = -3*v, -2*f + 5*v = -371. What are the prime factors of f?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 544\/(2*(-3)\/63750). Round l to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*n + 62*n - 61*n + 47*n)*(0*n + 5*n - 2*n).\nAnswer: 333*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -153853*y**2. Let q(v) = 766*v**2. What is t(q(c))?\nAnswer: -90274170868*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 5*c - 2 - 3*c + c. Calculate the lowest common multiple of g(8) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**7\/105 - f**3 - 5*f**2\/2 - 3*f. Let h(v) be the first derivative of y(v). What is the first derivative of h(w) wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9077545 micrometers?\nAnswer: 0.0009077545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2737*f + 267619 = 18552 for f.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1056653 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {q: 2, w: 4, i: 1, u: 4, f: 3, c: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2478 + 0.0478. Sort -78, r, -3, 1\/7.\nAnswer: -78, -3, r, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -23. Calculate the smallest common multiple of w\/(-18)*9*1\/(-4) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 - 5*y**4\/12 - 7*y**3\/2 - 25*y**2\/2 + 156*y + 4. Give w(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 - 268 = -7*x. Which is smaller: 431\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27294 by 6.\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - h + 1. Let t(o) = -o**2 + 8*o + 4. Suppose -32 = -4*j + 4*v, -3*j + 2*j = v. Let p be t(j). Let a = -18 + p. Determine g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-1710)\/(-25)*(21 + -2 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x - 90. Let a be ((-12)\/x)\/((-2)\/(-50)). Let n = 13 + -2. Solve -y - 5*r - a = -3*y, y = 4*r + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2184401 and 31289.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-18)\/(-135) - (-223)\/15) + -3 and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 - 2 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043001 to five decimal places.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v. Let j(r) = -26*r - 24*r - 19*r + 76*r. Calculate j(n(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6064 = -1471. List the prime factors of h.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 28 - j**2 + 44.\nAnswer: -j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92.95 - 95. Let n = -4 + 4.05. Let w = s + n. Are w and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let r(k) = 1. Let j(a) = 2*q(a) - 5*r(a). Give j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -84661 in decreasing order.\nAnswer: 1, -3, -84661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/31 in 31, -5, -4, 5, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5206 + -0.5?\nAnswer: -2.0206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*s + 69 + 33. Let b = -18 - -15. Let l be (3 + 8\/b)*3. Sort s, 0, 5, l in descending order.\nAnswer: 5, s, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -414 in decreasing order.\nAnswer: -1, -2, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 + 2. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 4*k**3 - 6 - k**3.\nAnswer: -5*k**3 - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220315997.\nAnswer: 11, 20028727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21997)\/(4\/(-3 + -17)). Suppose 3*o + 3*x + 0*x = -164991, -2*o - v = 5*x. Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, h: 11}. What is prob of picking 1 h and 3 s?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/3 + 3817*d\/3 - 537608\/3 = 0?\nAnswer: -3953, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000498984943 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 6 + 3)*(-3 + 1 + 3)*(-5*z**3 - 3*z**3 + 13*z**3) to the form x*z**3 + v + d*z + q*z**2 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 806, 882, 1016, 1214, 1482?\n\"Answer: w**3 + 23*w**2 + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688200 - 552?\nAnswer: 2687648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -79\/2. Let q = -6 + 3. Let y = q + 6. Put -3, y, l in decreasing order.\nAnswer: y, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmyymymyym.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let g(s) = -3*s + 17. Let t be g(6). Are k and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.773552 micrograms?\nAnswer: 0.006773552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (0 + 5 - (-17 + 24))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.052714 litres?\nAnswer: 8052.714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -17827 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyz when three letters picked without replacement from {f: 1, z: 2, y: 1, b: 1, t: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/8)\/(11*(-3)\/132).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 6*k**3 + 205 - 104.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -172 - -169. Let y = 0 - -0.2. Let j = 2.1 - 2. What is the nearest to j in y, 2\/9, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -4*a - 27, 38*a = 36*a - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87373541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-3 + 2))\/2. Suppose -3*t + 3*v - 4*v = -18, 0 = 2*t + 5*v - 25. Let x = -2 + 1.7. Sort t, j, x in descending order.\nAnswer: t, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 256*q**2 - 45*q + 1. Let j(x) = 517*x**2 - 102*x + 2. Let a(p) = 9*b(p) - 4*j(p). Let o(f) = 2*f. Give o(a(z)).\nAnswer: 472*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -1 - 8104\/(-64). Let o = -131 + z. Which is the third smallest value? (a) 5 (b) o (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)\/(-4 + -1). Solve -3*n + 2*i + 13 = j, -4*n + 8 = -i - 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9719747 millilitres?\nAnswer: 0.0009719747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 5*j**2 + 3. Let a be (-1)\/(3 - 33\/12). Suppose 3*n - 4*m = 23, -2*m + 39 + 34 = 5*n. What is the remainder when g(a) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 3\/8*g**3 - 9\/80*g**6 + 39\/80*g**5 - 5\/8*g**4 + 0 + g**2 + 0*g. Suppose q(l) = 0. Calculate l.\nAnswer: 1\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(14\/(-21) + (-1 - -1)). Suppose 2*t - 7*t + 1001 = b*a, -2*t = 2*a - 1004. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbx when three letters picked without replacement from {q: 6, e: 3, m: 5, x: 2, b: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1680420 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15956 - 283?\nAnswer: 15683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 3. Suppose 5*k + 2*q - 41 = q, 5*q - 29 = -3*k. Suppose k*h + 30 - 14 = 0. Calculate x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -14 - -2) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-120)\/(-50))\/6)\/((4\/10)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k + k + 6*k**2 + 7*k**6 - 11*k**2 wrt k?\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 4512*d - 35840.\nAnswer: -4*(d + 8)*(d + 1120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 10?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/12 + ((-28)\/(-24) - 1). Suppose -l + 34 = 4*b, 4*b - 103 = -y*l - 9. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u. Let s = -22 + 40. Let v = s - 21. Let w(f) = f**2 + f. Let l(y) = -5*y**2 - 3*y. Let b(z) = v*w(z) - l(z). Calculate g(b(r)).\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 6:53 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 z when three letters picked without replacement from hhzhhhhhhhzhhz?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1b3476 (base 15) to base 12\nAnswer: -5401b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 209 = -40. Let j(l) = -111*l + 798. What is the remainder when c is divided by j(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 3*v. Suppose -v*p - 11 = -77. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)\/(2\/(-36)). Let w = q - 298. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j + 3. Let n be s(2). Suppose -2 - 2 = -5*y + 4*q, q = -3*y - n. Let l be (2 - y)\/(8\/12). Solve 2*x + l*x = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 782 divided by -34\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 60937 (base 12) to base 8\nAnswer: 365473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5, 7, -6, -63 in decreasing order.\nAnswer: 7, -1, -3, -5, -6, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 354 times -2\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*n**3 + n + 3*n**2 - 58*n**3 - 3*n**2.\nAnswer: -9*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2 + 618*v = 0.\nAnswer: 0, 618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.94 + 3. Let k = v + -3.06. Let c = 4 - 3.9. What is the second smallest value in -1\/3, k, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) -5 (c) -232 (d) 593\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -40 (b) 9 (c) -1.6 (d) -5 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) -5 (c) 1\/36 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 142710216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*v**3 - 329*v**4 + 4*v + 0*v + 35*v**2 - 35*v**2 + 324*v**4 to the form q*v**2 + n*v**3 + w + u*v**4 + x*v and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45500 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and -56.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 37*g**2 - 72*g + 69. Let j be m(35). Let b be (78\/6)\/(3\/(j + 4)). Sort 4, b, -1 in increasing order.\nAnswer: -1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*h + 570*h + 163*h = -29484 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 195447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0723*0.06.\nAnswer: -0.004338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 2064, 7152, 17102, 33534?\nAnswer: 58068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833805837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 66, 142, 252?\n\"Answer: 17*s**2 - 9*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -10. Solve -2*v = 3*g - y, 4*v - g - 2*g = 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26310390 divided by -49?\nAnswer: 26310390\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26166 + 470857\/18. Let a = -3544 + 21179\/6. Find the common denominator of a and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36, 71, 102, 129, 152, 171, 186?\n\"Answer: -2*k**2 + 41*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*h - 28681, 0 = 1760*x - 1764*x - h + 114829. What are the prime factors of x?\nAnswer: 2, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 481\/198981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/15)\/p)\/(p\/p**6))**(-41))**(-13) assuming p is positive.\nAnswer: p**(30914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 - 0 - 0) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/10 + 36\/90?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.232 + 0.727. Let j = -0.005 - o. Which is the fourth biggest value? (a) -3 (b) j (c) -0.37 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358478 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22835 is divided by 22835.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 223330?\nAnswer: 223330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 take away -0.8?\nAnswer: 1342.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/16)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -624*i + 40. Let f(u) = u + 1. Let p(w) = -32*f(w) - v(w). Let t be p(21). Round t to the nearest 100.\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -1436515 - 41413733. Suppose -2*g + k = -28287438. Suppose -c - g = -6*c. What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Suppose -3*n - z = -6*n. Let h(f) = -5*f**2 - 2*f - 1. Let g(v) = 9*v**2 + 3*v + 2. Let u(i) = -4*g(i) - 7*h(i). What is u(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581346 divided by 1?\nAnswer: 581346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17357871 is divided by 1735787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*1591.7.\nAnswer: 1432.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 17 + 51. Suppose -2*m + 105 = -29. What is the remainder when m is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 634, 641, 648?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.03869 + 0.03869. Which is the smallest value? (a) 4 (b) -4 (c) u (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 722\/13 in 2\/11, 1, -2\/269, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5b3 (base 12) to base 14\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-2) + ((-32634)\/360)\/7 + 18\/15.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(-12 - 13 + 31) + (37 + 4 - 13)*(-6 + 6 - 2))*(-2*a**2 + 0*a**2 + a**2).\nAnswer: 62*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pytpoohtpohpthothb. Give prob of sequence hhop.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 609*q\/4 - 37449\/2.\nAnswer: -(q + 171)*(q + 438)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/3 + 17*p**2\/2 + 3*p. Let z be r(-7). Let a(m) = 5*m**2 - 3*m - 3. What are the prime factors of a(z)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21790950*b*n**4 + 5*b*n**2 - 3*b*n + 124*b - 3*n**2 - 408*n wrt n?\nAnswer: 522982800*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*z - 8 = u, 2*u = -4*z + 26. Let j = 0 + u. Suppose -b + 5*r = -26, -b + j*r + 30 = -0*b. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o - 87. Give f(-11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -11\/1083 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28, -5, -82, -227, -464, -817, -1310?\n\"Answer: -4*u**3 + 2*u**2 - 11*u + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)\/(sqrt(28)*-3)*3 + -3)**2 + 2.\nAnswer: 15*sqrt(11) + 319\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + 0*b)*((-2 + 1 + 2)*(-1 + 1 + 4*b) - 3 + 2*b + 3 + 4*b + b - 4*b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 21*v - 127. Let p be g(-8). Let x be (2\/(-2))\/((-1)\/(-5)). Is (p\/x)\/((-5)\/(-25)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 829.1 + -829. What is the second biggest value in 3\/4, c, 0.439?\nAnswer: 0.439","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**3)*x**(-22))**33 assuming x is positive.\nAnswer: x**(-825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9595983 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 = -w + 2*a, -3*w + 5*a + 26 = 0. Suppose 5*q = -3*x + 211, 3*x = -0*q - w*q + 205. Suppose -x*t + 68*t = 6085. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 237\/62? (a) 4 (b) 1 (c) -2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312 by -6.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1. Let f(q) = 3*q**2 - 16*q + 25. Let w(j) = 2*b(j) + f(j). What is the units digit of w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13079 and 5945?\nAnswer: 65395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0184 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13089549 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3922?\nAnswer: -1\/3922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w + 3. Let q be i(3). Let f be q\/(-5)*(-120)\/18. Let p = f - -15. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3\/(-3) + -1. Suppose -w + t + 2 = 0. Is 5 a factor of w\/5 + (-136)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 149*t + 10101.\nAnswer: (t - 518)*(t - 78)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2180, -4386, -6610, -8858, -11136, -13450, -15806?\n\"Answer: -x**3 - 3*x**2 - 2190*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 - 3*t - 2. Let a(p) = p**2 + 12*p - 3. Let o be a(-12). Let l be j(o). Does 21 divide (l - (-428)\/(-12))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*w**3 - 15295*w**2 + 15920*w - 455 = 0. Calculate w.\nAnswer: -91, 1\/34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101\/2 - 49. Is c at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 1)*4 - (sqrt(448) + 2)*-6)**2 + (sqrt(224) - (sqrt(224) + (sqrt(224) - sqrt(224)*1)))\/(-2*sqrt(968)).\nAnswer: 2560*sqrt(7) + 45056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/11 and -11\/97.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19004074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121916 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 10. Solve -5*b - r*s + 29 = 0, 0 = -3*b - 4*s + 18 + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168197 divided by 3151.\nAnswer: -168197\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:01 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 23 = 5. Let z(j) = -j**3 + 7*j**2 - 6*j + 1. Let l be z(6). What is the least common multiple of (-42)\/(-3) + 1 + l and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -1)\/((-1)\/(-2)). Suppose 2*z - 6 = 0, 3*p + 5*z = 9 + 12. Let x = -32\/21 + 6\/7. Put q, x, p in descending order.\nAnswer: q, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 a when three letters picked without replacement from {i: 7, c: 5, a: 1, p: 2, v: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 18*k**2 - 12*k - 72.\nAnswer: 3*(k - 2)*(k + 2)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + i**2 - 2*i**2. Let x(c) = -155*c - 85. Suppose t + 2*t - 255 = 0. Let p(s) = 11*s + 6. Let g(d) = t*p(d) + 6*x(d). What is k(g(y))?\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - b**2 + b + 1. Let n be v(1). Which is smaller: n or 14\/53?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 5, n: 2}. Give prob of sequence knuk.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.80735709 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(32 - 32 - 8*q**2) - q**2 - q**2 + 3*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 116 = 47*a - 379 - 1890 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12879 + 33915. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -2*f + 4\/9*f**3 - 10\/9*f**4 + 7\/9*f**7 - 1\/10*f**5 + 0 + 14\/9*f**6 + 0*f**2. Factor z(a).\nAnswer: 2*a*(a + 1)**2*(7*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1736 and 1081000?\nAnswer: 234577000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60)\/(-2 - 44\/(-16)). Let q be ((-1128)\/v - 14) + 8226\/140. Suppose q*p**3 + 24*p**4 + 16\/7 + 356\/7*p**2 + 128\/7*p = 0. What is p?\nAnswer: -1, -2\/3, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242522 or 242501?\nAnswer: 242501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-24))\/((-2)\/((-28)\/(-35)*10))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7 - 2 = 0. Suppose 0 = -5*o - l*t + 150, 4*o = -o + 2*t + 129. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -34*o. Suppose -2*t + 4*t = m + 52, 0 = 2*t - 2*m - 50. Let k = 29 - t. Let c(i) = 9*i**k + 4*i**2 - 12*i**2. Give c(f(h)).\nAnswer: 1156*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 21)*(-1 - 15\/(-20)). Let x be 4 + 1 + (-1 - 3). Suppose -4 - x = -v*j, f - 10 = j. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**4 - 4*w**3 - 4*w**2 - 28. Let m(f) = -14*f**4 + 5*f**3 + 5*f**2 + 27. Let c(h) = 4*m(h) + 5*p(h). Differentiate c(s) with respect to s.\nAnswer: 76*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 87*b + 4747. Let j be w(-54). Solve 30*o + j*o - 79 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -112*u - 360. What is the remainder when y(-4) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 18*h - 4 = 19*h, 5 = -5*d - 2*h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 20959*d + 223. What are the prime factors of t(1)?\nAnswer: 2, 7, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52277508 divided by 54.\nAnswer: 968102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 160, -2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128234 is divided by 194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 55. Calculate the highest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53656 divided by -13414.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -75, -96, -135, -198, -291, -420?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2) - 72\/216.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 29?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r - 5. Let h be w(4). Let n(i) = i**3 + i**2 - 4*i + 3. Let q be n(h). Suppose -2*u + q = 1. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -79, -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 30, 36, 42, 48, 54?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n - 2*n + 4*n)*(14274 - 979*n - 14274) in the form l*n**2 + d*n + v and give l.\nAnswer: -7832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 7. Let j be a(-5). Suppose j*f - 1 = g - 0, -5*g + 5*f + 5 = 0. Let x(y) = -y**3 + 3*y**2 - 2*y + 4. Calculate x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14386 - 6843 = -13*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (1 + 2 + sqrt(405) + sqrt(405) - sqrt(405))) + -1 + ((sqrt(405) + -2 - sqrt(405)) + -2)*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365809 is divided by 98?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11773 - 7374?\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 2 (c) -1\/343 (d) -5 (e) -2324 (f) -3\/2 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:23 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 1 - 10*j**2 + 0*j**3 - 17*j**2 - j**3 in the form k*j**2 + t*j + l + n*j**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-6) - (0 - (-3 - -2)). Let c(p) = -2*p**3 - 5*p**2 - 13*p - 24. What is the tens digit of c(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2172 and 20791108.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -8. Suppose -h = -4*j + i, -h - 7*j = -4*j - 12. Suppose -2*w - 19 + 47 = 0. Solve 3*l + 4*v = w, 5*l + 25 = 3*v - h*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 51.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/767 and 23\/6.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 6870 - 78442 = 0. What is the units digit of r\/(-26) - 40\/260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80212, -160439, -240664, -320887, -401108, -481327?\n\"Answer: k**2 - 80230*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/7863838 and 83\/414.\nAnswer: 70774542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(1288\/3)*8\/6\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/6)\/((-29)\/(-87)) + 40. Suppose 3*m + 2*m - 3*c = v, 0 = 2*m - 3*c - 14. Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(5 + 2*m - 5) + 2*m - 7*m + 3*m + 1 + 2*m - 1 + (-2 + 2 + 2*m)*(2 - 3 - 1) + 2*m + 4*m - 5*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 0*w**2 + 0*w**4 + 0*w + 4 + 0*w**5 - w**3 - 1\/3*w**6. Find the third derivative of n(a) wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 25*p + 104. What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 10, b: 4, v: 1, z: 4}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318121 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 555 = -5*l + 639 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 669.\nAnswer: -6.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19825 and -95.\nAnswer: -19920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 56*n + 132.\nAnswer: 4*(n - 11)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -166*z**3\/11 - 124*z**2\/11 + 1494*z\/11 + 1116\/11 = 0?\nAnswer: -3, -62\/83, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*g = -l + 297*g - 13 - 5, 14*l - 8*g = -252 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)\/sqrt(16))**2 - (5*sqrt(88))\/sqrt(8).\nAnswer: -5*sqrt(11) + 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.71848 millennia?\nAnswer: 17.1848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188 and -514?\nAnswer: -96632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 787217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262558284 - 12*k + 262558284.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 404642*r**2. Let t(z) = -24*z. Determine v(t(k)).\nAnswer: 233073792*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48290619119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuzzez. Give prob of sequence zu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/46 or -84210\/29?\nAnswer: -84210\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 + w - w)*(4*w + w - 3*w) + (4 - 4 + w)*(2*w**2 - 3 + 3) as d + o*w**3 + j*w + f*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 78. What is the closest to w in 42, 5, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 11*u**2 - 12*u - 10. Suppose -2*s = -2*m + 10, 3*s + 5*m + 8 = -47. Let r be v(s). What is the highest common factor of 4 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least -211547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -30\/131, -2 in decreasing order.\nAnswer: 3, -30\/131, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1*sqrt(242))*5 - sqrt(242).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12907, -13061, -13223, -13393, -13571, -13757, -13951?\nAnswer: -14153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 take away 92?\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 17*l**2 + 31*l - 39. Calculate v(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 12*k = 69, 28*s = 27*s + 2*k + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442141 (base 5) to base 13.\nAnswer: -6c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 478 = -2245. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*p + 33*p - 131*p.\nAnswer: -226*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2 - 5*h**4 - 6*h**4 + 0*h**2 wrt h.\nAnswer: -264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -262, -1021, -2278, -4033, -6286, -9037, -12286?\n\"Answer: -249*p**2 - 12*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3633?\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 93 - 24 = 0. Suppose 2*m = -m + p. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2. Let k(q) be the first derivative of -2*q**2 + 5. Determine k(b(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -407 + 418. Let v be l\/15 + -8 + 342\/45. Determine y so that 1\/3 - 2\/3*y**2 + 1\/3*y + v*y**4 - 2\/3*y**3 + 1\/3*y**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -38, 3, 8, 15 in increasing order.\nAnswer: -38, -2, 3, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - c + 87 + 63 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8498563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 94\/(-30) + 4 + -1. Let o = 2.9 - 8. Let j = o + 4.5. What is the closest to j in 1, z, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {n: 2, f: 1, s: 2, y: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -d + 2*s, -2*s - s = 9. Let r be 0\/3 + d - -1. Suppose 0 = b - 4*k - 131, 3*b + r*b = k + 579. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*v**3 + 3334*v**2 - 3334*v**2.\nAnswer: -158*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4 + 466*v**3 + 442*v**3 - 891*v**3.\nAnswer: 17*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(3\/11))\/((r\/r**13)\/r*r*r))\/((r**1\/r)\/(r\/r**17)))**(-5) assuming r is positive.\nAnswer: r**(235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.480896 rounded to 2 decimal places?\nAnswer: -6.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -72, -101, -130?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-63) - 159\/108. Which is the second biggest value? (a) 9 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -13*c**5\/60 - 2895*c**2. Let q(x) be the third derivative of -x**5\/30 - 2*x**2. Calculate u(q(n)).\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 129*d**2 - 586*d - 7518. Calculate s(-68).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 33050*v + 721. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 7*p**2 + 1. Let t be m(-7). Let o = 2 + t. What is the third derivative of 3*v - o*v + v**2 - 2*v**3 wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scbk when four letters picked without replacement from {v: 1, k: 1, s: 1, c: 2, b: 2, x: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10295 - 16358. Let z = -6063.08814 - p. Let y = -0.089 - z. What is y rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 + 1225*j**2 + 23703*j + 75. Calculate a(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 5. Let s be (-4)\/((6\/21)\/2*1). Let h be 24\/(-10) + -1 + s\/(-20). Let p(t) = -2*t - 11. What is h*p(c) - 5*k(c)?\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - 0. Let d = r + 1. Suppose -q = 3*q - 4. Which is the third biggest value? (a) -1\/3 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -216, -175, -136, -99, -64, -31?\n\"Answer: -j**2 + 44*j - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615100 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d, -6*x + 9 = -3*x - 5*d. Let q(i) = 4*i + x*i + 3*i - 5*i + 0*i. Let j(u) be the third derivative of -19*u**4\/24 - u**2. Calculate j(q(b)).\nAnswer: -95*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -50.05. Let m = 0.75 + x. Round m to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*114\/(-1520))\/((-8)\/224).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268483615, -268483612, -268483607, -268483600?\nAnswer: -268483591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l + 4. Calculate u(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/9 + 8*a\/3 + 95\/9 = 0.\nAnswer: -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -189\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 3. Let u be (-1 - -2) + -2 - (-6)\/(-6). Put u, 3, s in descending order.\nAnswer: 3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6 + (-2020)\/120 + 19. Calculate the greatest common divisor of 802 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from swwkggwswgddgswwws?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2638, -2623, -2608?\n\"Answer: 15*y - 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*-2*(-1023)\/9. Suppose g + 41 - h = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1592 divided by 199\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(-2) + 1911\/2145?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114705 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**8\/23520 + x**7\/4410 + x**4\/12 + 4*x. Let s(g) be the third derivative of l(g). Let s(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190645468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 364 - 216. Let f = -1034\/7 + c. Suppose -5*t + p + 10 - 12 = 0, 0 = 2*p + 6. What is the closest to 2 in t, 5\/3, f?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*i - 1982 = -924 + 976 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/221119, 2, -7\/2, -0.1, 0.3?\nAnswer: -1\/221119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -2\/9 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8715 + 8.1285. What is the nearest to j in -4, -2, -2\/17, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let t(m) = -4*m**2 + 0*m**2 + 6*m**2. What is t(r(p))?\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3601 = -17*d + 4*d. Suppose d = 3*g - 8. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*b = 135, -54 = -2*t - 5*b + 2*b. Suppose -r = -10*r + t. What is the first derivative of -355*l + 9*l**r + 355*l + 26 wrt l?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -1)*90495\/30?\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2190168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(3\/5)*k*k\/((k*k\/(k\/k**1))\/k)*((((k**6*k)\/k)\/k)\/k)\/(k*k**(-2\/7)) assuming k is positive.\nAnswer: k**(241\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2550*s - 48. Let v(g) = 158101*g + 2960. Give -185*u(k) - 3*v(k).\nAnswer: -2553*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 95 = -n - 59, -4*n = y - 14. What is the tens digit of (y\/(-9))\/((-3)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3 + 2*j**3 - 1102*j**2 + 37*j - 25*j - 370*j**2 - 10*j + 84 wrt j?\nAnswer: 6*j - 2944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*g - 14, 0 = -4*g - 24 + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2567 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390191061 to the power of 1\/3, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/30 + 1\/10. What is the nearest to -1 in f, -0.4, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(750)*-1 + sqrt(30))\/(2*sqrt(1210)).\nAnswer: -2*sqrt(3)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -27. Suppose 19*g - 17*g - 8 = 0. Let j = g - z. Sort 3, -3, j in descending order.\nAnswer: 3, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*z - z. What is the least common multiple of z and (0 - 1 - 0)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/27))\/w**(-15)*(w\/w**1)\/w**(1\/2) assuming w is positive.\nAnswer: w**(835\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270707 divided by 3.\nAnswer: -270707\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286787398.\nAnswer: 2, 13, 49491823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -243, -320 in decreasing order.\nAnswer: -2, -4, -243, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*-2 + (1 + sqrt(3))**2*-5 - (sqrt(33)\/(sqrt(11) - sqrt(11)*2) + sqrt(9)\/sqrt(3)*5).\nAnswer: -24*sqrt(3) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 9. Let c(h) = h**3 + 16*h**2 + 37*h - 3. Let d be c(-15). Let f = d - -337. What is the nearest to v in f, -2\/19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 57939185?\nAnswer: -57939184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**2\/2 + 11. Let v(r) = -2*r - 33. What is v(h(p))?\nAnswer: -2*p - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 355 + 343. Sort 2156, z, -0.2 in descending order.\nAnswer: 2156, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1396 + -799. What are the prime factors of z?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.9888 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, 4, -7357 in increasing order.\nAnswer: -7357, -0.27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - k**2 + 3*k)*(3*k + 3*k - 5*k) + 46 - 46 - 4*k**3 - 2*k**3 + 4*k**3 - 3*k**3 in the form u*k + d + y*k**2 + p*k**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -411*t + 36575. Calculate m(89).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.33 - -35. Let l = -70.5 + 70.57. Let b = l - g. What is the second biggest value in 0.1, b, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 0.5, -5, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-7 - 113) - (-46)\/(-24). Let a(y) = -2*y**3 + 2*y + 4. Determine a(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2\/15, 0.1, -2\/3.\nAnswer: -56, -2\/3, 0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0.1, 4\/175 in increasing order.\nAnswer: -31, 4\/175, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 2*t**3 - 172 + 172.\nAnswer: -2*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08622 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m. Let g(c) = -22*c. Give x(g(d)).\nAnswer: 110*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/(f*f\/f**(-17)))\/f))**7\/((f**(-3\/2)*f)\/(f\/(f*(f**(-1\/40)\/f)\/f))) assuming f is positive.\nAnswer: f**(5701\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139170 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*v**3 + a**2*v**2 + 140*a*v**2 - 7*v**4 wrt v.\nAnswer: -6*a**2 - 168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 3*w + 18, 2*k = 4*w + 8108 - 8118 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 75, 60, 63, 90?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(6\/(-10)))\/((-8)\/(1856\/(-145))). Solve -23*p + 30 = -x*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -874aa2?\nAnswer: 874aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Determine b so that 2*b**2 - 4*b + p + 3 - 4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4202 != -12610\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = l, 2*u + 798 - 944 = 10*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrrrrrrrkr. Give prob of picking 1 r and 1 k.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*u = -c - 11, 5*c - 4*u + 38 = 0. Let g(r) = 26*r**2 + 10*r + 21. Is g(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/48*(-958)\/479.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/5))**(-34)*(a**(-10)*a*a)\/(a\/a**(1\/8)))**(-17\/4) assuming a is positive.\nAnswer: a**(19907\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 49*p**4\/12 - p**3\/6 - p**2\/2 - 9*p. Does 11 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/3 and -7\/309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2*s**3\/33 + 408*s**2\/11 - 83232*s\/11 - 1587. Find n, given that m(n) = 0.\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in -0.4, 0.2, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -58 - ((-4)\/(-16) + 17\/(-4)). Let l = v + 142. Let n be 4*(-1 - -1 - -2). What is the greatest common factor of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 120?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2042, -2044, -2056, -2084, -2134, -2212, -2324?\nAnswer: -2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91980328 + 157980325. Suppose -3*x + a = 39600003, -2*x = -7*x - a - v. Round x to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4416, -8757, -13008, -17127, -21072, -24801, -28272?\n\"Answer: 7*a**3 + 3*a**2 - 4399*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 - -220021101?\nAnswer: 220100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 115\/13?\nAnswer: 115\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24056234 divided by -12028117?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 465, 937, 1409?\n\"Answer: 472*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061347173 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 3*a + 15, -7*k - 3*a + 26 - 41 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k*k)**(7\/3))**(1\/7) assuming k is positive.\nAnswer: k**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8689767465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**5\/20 + t**4\/6 + t**2\/2 + 5*t. Give b(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 - 23*u - 19. Determine y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5*d + 36 = -2*d, 0 = -23*u + 25*u - 4*d for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 2\/9*a**3 - 1\/36*a**4 + 0*a - 2*a**2 - 1\/30*a**5 + 0. Suppose l(f) = 0. What is f?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -673 not equal to -663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(176) + sqrt(110)\/sqrt(160) - (1 + 2*sqrt(704) + -2 + sqrt(704)*2))**2.\nAnswer: -555*sqrt(11)\/2 + 135931\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25)**(-20)\/(o\/(o\/o**14))**26 assuming o is positive.\nAnswer: o**(-864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 34 - 7*t + 3*t - 2*t.\nAnswer: t + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 4. Calculate the highest common divisor of 8 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 26 = -y - 22, 0 = -5*y + 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 60, c - 3097*y + 3102*y = 60 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose u - j*u = 0. Suppose u*q + 580 = 4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/20? (a) 3 (b) 5 (c) 127 (d) 4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 13*u - 4. Let t be 4 - (1\/2 + 20\/8). Let o be 6 - (-2 - 0) - 3\/t. What is the lowest common multiple of c(o) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let n = 30 + -29.7. Which is the closest to -3? (a) f (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123 - -59) + 51 - -58?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*((sqrt(75) + -2)*-6 - (sqrt(75) + 1 + sqrt(75) + 0)))**2 + -2)*2.\nAnswer: -15840*sqrt(3) + 88577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 447 + 5 = 0. Solve -a*k = -20*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 675b0 (base 14) to base 2.\nAnswer: 111101001111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -134. Suppose v - 58 = b. Suppose 5*o + 5*q - v = 0, 0 = -o + 2*o - 4*q - 40. Solve 3*d - 22 = 4*p, 4*p + p = 4*d - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*c = 6*c + 2745. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 1. Let j be 3 - (2 + (-3 - -2)). Calculate the smallest common multiple of 5 and o(j).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 6 - 3 - 1. Suppose 35 = x*k - v, 4*k - 4*v = -6 + 26. Suppose 0 = 9*m - k*m. Let u(q) = q**3 + q**2 + q + 10. What is u(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.061668 * -172.9.\nAnswer: -10.6623972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -5)*4*(-3)\/6. Let g be ((-9)\/(-11) - d\/33)\/(-1). What is the second smallest value in -5, g, 2\/23?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d = 3859 + 2549. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32973 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 11*s**2 + 9*s + 2. Give j(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3fd8 (base 16) to base 4\nAnswer: -3333120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3694*j. Let k(q) = q. What is n(k(s))?\nAnswer: -3694*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 4*a - 2*a + 0*a**2)*((0 - 1 + 0)*(-6 + 4 + 1) + 6 + 15 - 1).\nAnswer: 42*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 5*j + 42, -17*j + 22*j = 4*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 149*i**3*t**3*v - 1899*i**3*t*v + 4*i**2*t**3 - 2*i**2*t*v - 30*i**2*v + 614*i*t**3 + i*t**2 - 1 wrt i?\nAnswer: 894*t**3*v - 11394*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31945.\nAnswer: 5, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (211 + -233)*(0 - (2 + 0)). What is the highest common divisor of 1353 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15842 is divided by 317.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -242 - 3888?\nAnswer: -3aca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t*t\/(t\/t**(-6)) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 57, 51, 43, 33, 21, 7?\n\"Answer: -w**2 - w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) 193 (d) 1\/152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -66. Suppose 0 = -2*d + t + 4. Put 2, d, -7 in decreasing order.\nAnswer: d, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49231955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 3320?\nAnswer: 3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -12 + 1\/16*m**2 + 0*m**3 - 1\/32*m**4 + 0*m. Factor b(h).\nAnswer: -h*(h - 1)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193082?\nAnswer: 2, 29, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -116. Suppose h - 1 = f. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 41*w - 330. Let u be c(-48). Solve 4*j = -u*p + 11*p - 13, -3 = -p + j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/104 and -1\/45266?\nAnswer: 181064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*p = -3*a + 22, a = p + 4. Let s = a - 5. Let h = 0 - -3. Solve 5*m = -k + 19, -2*k + h*m - 13 = s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -31*n**5\/30 + 47*n**4\/12 - 29*n**2. What is the second derivative of k(a) wrt a?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11042977*z**2 - z + 4. Let u be o(3). Suppose 3*l + 97300003 = -d, 4*d + 2*l - u = -488586796. Round d to the nearest 1000000.\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*k + 231, 98*k = 3*h + 97*k - 183. What is the least common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441040 divided by -5?\nAnswer: -88208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/9 + 4*17\/612\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436364 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 p(q) be the first derivative of 5*q**3\/3 + 115*q**2 + 2645*q - 2. Suppose p(m) = 0. What is m?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125.31 + -0.79. Let j = y - -126.1. Let z = -2\/63 + 23\/63. Which is the nearest to z? (a) -1\/4 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1768\/336 + (-3535)\/606. Let o be 8\/14 - 2\/7. Sort o, y, 0 in decreasing order.\nAnswer: o, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*u + 162 + 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10184 = -20313319*s + 20313453*s for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 43, 4, 3, -52, -4 in ascending order.\nAnswer: -52, -4, 3, 4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 + 13 = -4*b, -3*i + 31 = b. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36142.\nAnswer: 2, 17, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13223 - -139056. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 - 6082*x**2 - 24304*x - 24296 = 0?\nAnswer: -3037, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*b - 15 = 0, -3*z + 2*z + 2*b + 15 = 0. Suppose -574 = -z*x - 244. Calculate the highest common factor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283\/5 + -274\/5. Let w = 7\/368 - -7509\/1840. What is the common denominator of w and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6989, 13974, 20959?\n\"Answer: 6985*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 78*i - 168. Calculate d(41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/6 or 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 271107396 and 1764?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/32 and 67\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2911*r - 70151 - 47405 = 4706 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.2837.\nAnswer: -2.2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 451723777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/(-1 + 2 - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 775*s**2 - 2 + 23*s**2.\nAnswer: 798*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 10. What is the third derivative of -1 + d**i + 2*d**6 + 0 + 1 wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((-16)\/(-80)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31936.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**5\/20 - h**3 + 2. Let v(x) be the third derivative of t(x). Let s(f) = -f**2. Calculate s(v(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 12*l**2 - l + 15. Let r be u(12). Find the first derivative of -3 - 2 + 0 - 4 + 6*o**r wrt o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*(p\/(p\/(p\/p**(-33)))*p)\/p*p*p*p*p*p*p*p**(-44)*p*p assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/132 and -63\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 182. Calculate the remainder when z is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - -30?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48.705 and -0.07.\nAnswer: -3.40935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(119\/(-105)) - -2. Suppose -95*x + 94*x + z = 0. Solve x = 4*w + 33 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by 867408?\nAnswer: 199\/867408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2510630?\nAnswer: 2, 5, 251063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18*h**2 + 18*h - 48. List the prime factors of w(14).\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**2 + x + 1. Let v(g) = 9053*g**3 + 32920*g**2 - 4115*g - 4115. Calculate v(j) + 4115*w(j).\nAnswer: 9053*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 632 - 212. Suppose -d = -5*n + 136, -5*d - 5 - 31 = -2*n. What is the greatest common divisor of s and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 2*d**5 + d**5 + d**5 + 2*d - 2*d + (65*d - 18*d**4 - 65*d)*(d + 2 - 2) + 43*d**5 + 113*d**5 - 32*d**5.\nAnswer: 105*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x. Let p(j) = j**2 + j. Suppose 5*h - 33 + 13 = 0. Let u(y) = h*p(y) - n(y). Find the second derivative of u(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -31*y**2\/2 - 6*y + 514. Let s(x) = 6*x + 1. Calculate 2*m(a) + 11*s(a).\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let f(j) = -2608*j**2. What is f(c(u))?\nAnswer: -2608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284838.\nAnswer: 2, 3, 29, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*k + 36*k + 38*k + 25*k to the form n + x*k and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*q - 16 = 0, q = -2*r + 3*q + 14. Calculate the greatest common divisor of 80 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004754 to four dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 16146410.9?\nAnswer: 16146406.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24306344?\nAnswer: 2, 3038293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -791.4 - 62.6. Let y = -848 - f. Sort -2, 4\/3, -6, y in descending order.\nAnswer: y, 4\/3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {e: 3, x: 4, i: 1, a: 1, m: 2, n: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238206146?\nAnswer: 2, 41, 313, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/z**(-2\/3)*(z*z**(1\/2))**(20\/7))**(-3\/10) assuming z is positive.\nAnswer: z**(-43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -31144\nAnswer: -155720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*t**6 + 17*t**4*z**2 - 42*t**3 + t**2*z**2 + t**2 + 19*t*z + 25*z - 23 wrt t?\nAnswer: -960*t**3 + 408*t*z**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -0.0422931.\nAnswer: 0.2577069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*z**3 + 477*i**2*z - 2*i**2 - 2*i*z**3 - 8*i*z**2 wrt z.\nAnswer: 30*i**2*z - 12*i*z - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - p + 3*p**2 - 4 + 0. Let r be g(-3). Let w = -232 - -272. What is the greatest common divisor of w and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqqh when four letters picked without replacement from qqhqhqqqqqqhqqqq?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 6*d - 4. Let h(i) = i**2 + 6*i - 3. What is -5*g(n) + 6*h(n)?\nAnswer: n**2 + 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n - 10616*n**2 - 14*n + 5*n - 11621*n**2 to u*n + c + s*n**2 and give s.\nAnswer: -22237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - x)*(-9*x**2 + 15*x - 15*x) + x**3 - 2*x + 2*x**2 + 548 - 1091 + 545.\nAnswer: 10*x**3 + 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 2*h + 1. Suppose 0*n - 1 = n. Let a = -1 + n. What is the remainder when 50 is divided by u(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20281 * -5920.\nAnswer: 120063520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -73, 2\/3, 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 2*u**3\/3 - 12. Let w(m) = -11*m**2. Calculate b(w(k)).\nAnswer: 242*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + a**2)*(1058 - 3742 - 39538 - 23028 - 6282).\nAnswer: -71532*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124572571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14494638557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-195)\/(-20) - (-2)\/8. Let b(w) = w**3 - 3*w**2 - 5*w - 5. Let g be b(5). Calculate the greatest common factor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -9. Let w = 27\/2 + -51\/4. Is w bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 2\/1007231285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -2\/3, 9538?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -982*w - 1081 + 1081 in the form f*w + j and give f.\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhh. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 39 = 4*b. Let f = 25 + b. What is the hundreds digit of (0 + 2 - f) + (-6 - -110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 3*y + 3. Let k = -33 - -33. Suppose 4*i + 5*s + 0*s - 18 = k, 4*i - 10 = -s. Let m be o(i). Solve 0 = -n - 4*q - 8, m*q + 6 = -n - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-45) + 6)\/((-6)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 6*u**2 - 5*u. Let w = 8 - 3. Let f be v(w). Suppose 2*l - 3*l + 40 = f. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107466300 rounded to the nearest one hundred thousand?\nAnswer: 107500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4740523 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 4*g. Let c be o(-2). Suppose c*q - q - 74 = -4*r, q + 3*r = 33. Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 3}. What is prob of sequence mmz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 12. Let v(f) = -4*f - 15. Suppose c - m = -4*m - 10, 3*m + 38 = -5*c. Let p(h) = c*o(h) - 6*v(h). Determine p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 75. Suppose 4*n + m*g = g + 26, -5*n + 14 = -3*g. Suppose -4*u + u - 6 = 0. Put n, -8, u in increasing order.\nAnswer: -8, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21203728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/13000*-15*(-50)\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/7 + (-1176)\/(-686) + -4 + 2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -334235 or -1671177\/5?\nAnswer: -334235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.98 + -3.78. Which is the third smallest value? (a) 0.5 (b) x (c) 1 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-84000)\/(28\/(-15) + 2). What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5822.29 centuries to millennia.\nAnswer: 582.229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/45 and 2\/(3 + (-275)\/41 + 4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbabbasabaasbabbbbab. What is prob of picking 2 s?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -694.623 - -695. Let x = p - -0.227. Round x to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15609330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put together -773 and 493906464025.\nAnswer: 493906463252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*1*(-4 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6449 a factor of 643084562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -26. Let p = w + 14. Solve 3*f = -15, -2*j + f = -f - p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 greater than or equal to -14285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13948677 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 16 = -4*k + 76, 2*u = 4*k + 20. Calculate the highest common factor of u and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*j**2 - 22*j**4 - 16*j**2 - 8*j**4 - 35 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*y**2 + 52*y + 1713880 with respect to y.\nAnswer: 404*y + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -995 - -1040. Calculate the highest common factor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**8\/56 + g**4\/3 - 8*g**2 + 11. Let j(t) be the second derivative of l(t). What is the second derivative of j(x) wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let q(p) = -p + 9. Give 2*n(i) + q(i).\nAnswer: -3*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a. Let n(k) = -83*k. What is h(n(o))?\nAnswer: 249*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5950*a - 172865 = -8195*a for a.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -205*o**2 + 94*o - 468*o - 2*o**5 + 376*o**3 + 211 + 209 - 12*o**4 - 263*o**2 + 60*o**4 = 0.\nAnswer: -7, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241 + -238. Suppose -6*a - 3*x = -a - 52250, 0 = -c*a - 3*x + 31344. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 = -2*t - 0, n + t = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.59. Which is the second smallest value? (a) s (b) -1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 20. Calculate i(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738504 and 124136?\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 - 5*s**2 + 2*s - 4. Calculate n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/22)\/((-14)\/34321). Let s = x + 446. Is -0.06 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 2:18 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:39 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1158*x**4 - 571*x**4 - 461*x**4 + (-2*x - 1 + 1)*(1 - 1 + x**3) + 0*x**3 + 0*x**3 - x**4.\nAnswer: 123*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 76413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - 4*n = 24, 0 = -l - 4*n + 24. Is 12 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) -0.04 (b) -1\/386 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27928 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 9:21 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 23*g - 56. Put -3, g, -30 in ascending order.\nAnswer: -30, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**2 + 69*r + 12084 = 0?\nAnswer: -53, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619356 is divided by 154839.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-5)*-1*(-4)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Let g = 1335 + -1333. Solve q*n = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1948.674918 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/((-15741)\/(-2014)) - 8\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6804413 nanoseconds in days?\nAnswer: 0.00000000000012361621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -330 - -379 - (-3 + 43)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -68, -55, -26, 25, 104, 217, 370?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 17156*o**2 + 485 - 485 + 4*o - 17137*o**2.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*v**5 + 6395*v**4 - 5350*v**3.\nAnswer: 5*v**3*(v + 214)*(6*v - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -104?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3506 and -0.0020192263.\nAnswer: 3505.9979807737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -2412 = -2415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304238*x - 30 = -304232*x. Let b(n) = -44*n**3 - 4*n. Let d(v) = -22*v**3 - 2*v. Calculate x*d(i) + 2*b(i).\nAnswer: 22*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -57\/2*m**2 - 1313\/2*m - 23 = 0.\nAnswer: -23, -2\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -41\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6*z - 25. Suppose z = 4*a - 5*x, 2*a - x - 6 = a. Suppose 4*n = a*m + 28, 6*n - n - 4*m = 26. Solve 4 = 3*k - n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34640664178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97141 is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117)*4.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 996519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -307 + 295 - (-6 + (8 - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914320811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594036836.\nAnswer: 2, 13, 43, 229, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 814, 1626, 2440, 3256, 4074?\nAnswer: 4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -5, 10\/19, 0.185 in ascending order.\nAnswer: -5, -2\/9, 0.185, 10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-110))\/(2\/(-8))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64920221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssxszxzssszsxssstxt. Give prob of sequence ss.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -54\/7259?\nAnswer: -54\/7259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 20. Let x be i(-10). Are 10 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*548\nAnswer: 16.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 22*k + 5*u + 10, k = 4*u + 8. Let n be 8\/2 + (-27480)\/6860. Is n <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 13*u + 5. Let z be 4\/3 + (-4)\/(-6). Let a = z + u. Which is smaller: 2\/19 or a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -2 (b) 0.51 (c) 2\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110012382 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 + 15*g**3\/2 + 21*g**2.\nAnswer: -3*g**2*(g - 7)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -43*1978\/(-29584)*(-10)\/(-46)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 686 + 686 + 2*p**4 + 670 - 2043 + 6*p**3 to the form x*p**3 + i*p**2 + b*p**4 + t + n*p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 106 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 4*l - 4. Let j be v(-14). What is the common denominator of -23\/18 and (-5)\/15 - (-726)\/j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53822 in 1, -2\/17, -0.5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 262196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (sqrt(475) + (2*sqrt(475) + 5 - sqrt(475))) - (sqrt(475) - (sqrt(475) + -2))*2)**2 - (-2*sqrt(475) + 4 + 1*sqrt(475)*1)) + 2 + 3.\nAnswer: 95*sqrt(19) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739634 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(11))**2*2*-3.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 13, -10186, 0, -71.\nAnswer: -10186, -71, -1, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -59. Let q(s) = -2*s**2 + 8*s + 28. Let x be q(r). Suppose 5*z - 10 = 2*j - 3, -2*z + 4*j - 10 = 0. Solve z*d = x*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56934341?\nAnswer: 211, 239, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 5*k + 5*s + 10, -2*s = -7*s + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 17 = 2663*x - 2662*x, -2*x + 26 = 2*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 1\/2*v**2 + 0*v**3 + 0*v**4 + 6 - 1\/20*v**5 + 0*v. Let j(w) be the second derivative of r(w). Determine j(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3041 - -1103?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*i - 210 - 200 = 0, 3*z + 300 = 3*i. Let b = 356 + -181. Let s = b + z. What is the remainder when s is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(1\/28)\/(d\/d**(2\/3)*d*d**(-2\/7)*d*d))\/((d*d\/d**(-6)*d*d*d*d*d**2\/d)\/(d*d**(-2)*d**(-5))) assuming d is positive.\nAnswer: d**(-463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.09 * 443.\nAnswer: 2254.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103 - (66 - -211 - 98)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 23*m**4 - 190*m**3 + 658*m**2 - 833*m + 343.\nAnswer: -(m - 7)**3*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -39*f + 540. Suppose -347 = -f*l + 193. What is the remainder when 94 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -539530*d - 197636 with respect to d.\nAnswer: -539530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**3 + 117*c**2 + 10*c - 1. Let k(i) = 4*i**3 - 116*i**2 - 8*i. Let a(t) = 2*k(t) + 3*y(t). What is the second derivative of a(j) wrt j?\nAnswer: -6*j + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -17 - -7) + (-2 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/6775 in -0.3, 0.2, 9, 240, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*g**2 + 6*g - 6.\nAnswer: -3*(g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-33))\/((-2)\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11324595301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2655 divide 104524695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10302 + -10299. Suppose -7\/4*q**2 + 0 + 1\/2*q + 7\/4*q**u - 1\/2*q**4 = 0. Calculate q.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007302 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-2 + 94*3\/(-6)). Suppose 5*o + 200 = o. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/((-784)\/(-98)) + 2\/6 + (-164)\/(-3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653052109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1107 and 129321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4.516*1621\nAnswer: 7320.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10*r = 0. Let s(p) be the first derivative of -p**3\/3 + 10*p + 363. Calculate s(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, and 2 x when four letters picked without replacement from xxxrrxrrxxh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 2125*k**2 + 4248*k**2 + 14 - 2*k**3 - 2125*k**2 - k to t*k + z*k**2 + i*k**3 + v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0 + (1 + 2 - 5)*(0 - 1 + 3))*(-u + 4 - 4)*(53 + 40 - 19).\nAnswer: 222*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/15 - (-271 + 263)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3706.\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Let a = 0 + r. Suppose -h = l - 5 - 2, -l - 4*h + 13 = a. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1202, -2410, -3618?\nAnswer: -4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69, -284, -643, -1146, -1793, -2584, -3519?\n\"Answer: -72*l**2 + l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 11 = h + 13, 3*c - 5*h = 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) - (0 + sqrt(396)) - sqrt(396)))*5*-4.\nAnswer: 100 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3)*k*k)\/(k**(1\/21)\/k) assuming k is positive.\nAnswer: k**(76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w = 39*w - u, -2*u = 6. Let o(t) be the first derivative of 1\/20*t**4 - 1\/5*t**3 + 3\/10*t**2 + w - 1\/5*t. Factor o(g).\nAnswer: (g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.79 times 3.4?\nAnswer: 43.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/27 - (-80)\/(-6). Let i be 23\/2 + (-7)\/h. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43303, 86653, 130003, 173353, 216703, 260053?\n\"Answer: 43350*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*l + 4*b + 140, 4*l + 5*b = 75. Let u be (5*-3)\/(-3) + -1. Suppose v = l - u. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72740?\nAnswer: 2, 5, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -4.2. What is the third smallest value in 3\/16, 0.2, n, 4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.3 + -1.3. Let y = -1.2 + 0.8. Let u(k) = -2*k + 3. Let h be u(2). Which is the closest to h? (a) -2 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-3 + 1 + -1). Let d be (2 - -1)\/(18\/24). Suppose c = -i, 4*i = -3*m + d*m + 13299988. Round m to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29183592?\nAnswer: 2, 3, 67, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpp when three letters picked without replacement from {j: 2, g: 3, p: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g + 25. What is a(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -75643414?\nAnswer: -3\/75643414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2958a + 66?\nAnswer: 29645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 15961764.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k**2 + 28*k + 9. Let f = -9 + 1. Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h - 18. Let a(q) = -22*q + 54. Let k(x) = -59*x + 2848. Let m be k(48). Calculate m*p(t) + 5*a(t).\nAnswer: 2*t - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.1. Let a = -0.19 - -8.19. Let s = 9 - a. Sort s, 0.3, b in decreasing order.\nAnswer: s, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*x - 16, 5*c + 11 + 3 = 3*x. Let a(s) = 9*s**2 - 17*s + 20. Let q be a(x). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282338776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -13\/6 (b) 0.037 (c) -15 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 28 + 2871*c**3 - 2840*c**3 - 6*c**2 - 19 - 15 - 6*c. Let k(y) = 155*y**3 - 31*y**2 - 31*y - 31. What is -31*f(o) + 6*k(o)?\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (-11448)\/(-40))*120\/(-16). Which is bigger: 2093 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 2*x + 0*x)*(5*x - 3*x + 0*x) + 3*x**2 + 20*x - 49*x + 20*x to the form r + w*x**2 + z*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9)**(-1\/28)\/(((l\/(l\/(l**9*l)*l)*l)\/l*l)\/((l*l\/(l\/(l*l*((l\/((l**2*l)\/l))\/l*l)\/l*l))*l)\/l)) assuming l is positive.\nAnswer: l**(-233\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 79. Suppose -5*v + 23 = -z. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8720 and 6063670.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8 - 4. Let k(n) = 2*n - n**3 + 0*n - 3 + 2*n + 0*n. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 24*y = 120. Suppose 3*p - 710 = y*f, p - 5*p + f = -925. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 2 - 11 + 3*i + 2*i - i**4 + 3*i**3 to the form u*i**3 + h + s*i + x*i**4 + m*i**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2728514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 0.265473?\nAnswer: 0.265473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - 1) + (8 - (-31 - -8 - -24))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1018177987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1217273 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2546*v - 190*v + 2135*v - 372211 = 18506 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 + 46. Let b be 1\/h + 170\/30. Suppose -4*z - 212 = -b*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4434*z**2 - 873498*z + 20. Give n(-197).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5202789 != -5202789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 - -101111010011001?\nAnswer: 101111001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (222\/90 + (-8)\/10)\/((-15)\/(-45))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3 + 21*b + 13*b - 3 + 10*b. Let v(m) = 11*m. Determine y(v(q)).\nAnswer: 484*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d. Let s = 11.28 + -0.28. Let u = s + -6. Which is the closest to d? (a) 3 (b) u (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77164178*n - 29 = z - 77164184*n, 4*z = -n - 41 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 166 = 54. Suppose -2*w = 4*q - 4538, 5*q = -2*w + 1048 + 4624. Let z be -4 + q\/10 + (-3)\/(-5). Calculate the highest common factor of v and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4 - -6) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 74*q - 105. Let t(l) = -43*l + 53. Let u(j) = 4*g(j) + 7*t(j). What is u(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -3, -0.012, 0.2.\nAnswer: -3, -0.012, 0.2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + p - 2*p = 0, -5 = -f + 2*p. Which is the nearest to 1? (a) -1.2 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64992368.8189 - -64995427. Let u = c + -3058.01809919. Let f = u - 0.163. What is f rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let i(t) = -72016*t. Calculate i(c(q)).\nAnswer: -72016*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -9 + 0 + -1. Let n be (-28)\/(-98) + 9\/m. Let g be (-7)\/n*2\/14. Let t(q) = -q**3 - 1. What is t(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i - 17. Let g be q(7). Suppose -8*j + 2*j + g = 0. Suppose 0 = 6*k - 3*k. Solve k = -6*d + d + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 178209 and 1503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 385 - 541. Let q = 158 + w. Solve 0 = 5*z - 4*r - 13, -9 = -z - q*r + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -139*k + 1794 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3700*w**2 - 2*w + 11985 wrt w.\nAnswer: 7400*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 261?\nAnswer: -861.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1)\/((-2)\/4). Sort 1, i, -5.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 12) to base 5\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s. Suppose -a + 3 = -l, s = 2*a + 3*l - 33 + 2. Let m = 15 - a. Solve 13 = 4*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*c**2 + 12*c**2 + 7*c**2 - 18*c**2.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g + 5*g = -6*g + 15*g + 5*x + 45, -4*g - 8*x = x + 49 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 9\/20*x**5 + x**4 - 2*x + 0 + 1\/2*x**3 + 0*x**2. Solve b(h) = 0 for h.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**2 + 1372258*f + 457420.\nAnswer: -2*(f - 228710)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97 - 143 + 195 + 12*p**2)*((-4*p - p + 3*p)*(-5 + 2 + 1) + 0 + 0 - 2*p + 0*p + 6*p - 5*p).\nAnswer: 36*p**3 - 135*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let f(u) = 154349*u + 1. Determine f(o(h)).\nAnswer: -154349*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/1563 and -133\/24.\nAnswer: 12504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -69, -2\/5, -23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1853, -7620, -17221, -30656, -47925, -69028, -93965?\n\"Answer: -1917*p**2 - 16*p + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2540 - -2542. Let i = 9 + -10. What is the nearest to 4 in i, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18827.2 + 18827. Which is the closest to 5\/7? (a) f (b) 0.5 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 167*r + 21083. Calculate a(-131).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 1041, 2355, 4197, 6567, 9465?\nAnswer: 12891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -14 - (-1 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40622 (base 8) to base 16.\nAnswer: -4192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007836905575 rounded to 4 dps?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20166846109 + -0.05?\nAnswer: 0.15166846109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*j**2 + 807*j**2 + 805*j**2 - 2418*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 5*m**2 + 40*m - 238. Let p be u(-13). Calculate the highest common divisor of p and 432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 531947 and 4150.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -75. Suppose -h*b = -5097 - 3687. Calculate the lowest common multiple of b and 7.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by -4.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Let j(c) = -c**2 - 5*c + 2. Let r be j(-5). Let n = -11 - -13. Solve -x = n*d, -p + 5*d = 3*d - r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.012 and -5573619.\nAnswer: -5573619.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 840*b**3*i**2 - b**3 - 2*b*i + b - 21*i + 5471 with respect to i.\nAnswer: 1680*b**3*i - 2*b - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11332212 (base 4) in base 14?\nAnswer: 8cd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.036 - 0.336. What is the closest to 2 in 2\/9, -2\/9, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7001.241 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s + 578. Calculate m(51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, 0 in ascending order.\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2291 - 2291. Suppose -4*f + 40 = 3*h + 15, 2*h - f - 2 = 0. Sort 1, p, 2, h in increasing order.\nAnswer: p, 1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.93978 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 2. Let q(y) = y. Let c be (-688)\/3096 - 2711*1\/(-9). Let t = c + -298. What is t*q(r) + f(r)?\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-3 + 0 - -1). Let u(v) = -1. Suppose -3*r + k = 2*r + 32, -16 = 4*r + 4*k. Let x(h) = h + 1. Let a(s) = r*u(s) - 7*x(s). Give a(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 29. Let t = -5 - -9. Suppose -126 = t*m - 8*m + y, -y - p = -m. Calculate the remainder when m is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -21990, -43977, -65966, -87957, -109950, -131945?\n\"Answer: -l**2 - 21984*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u**3 + 494*u - 494*u - 3 + (2*u**2 + 0*u + 0*u)*(-3 + 3 + 2*u) + 2*u**2 + u**3 - 2*u**2 + 2*u + u**3 - 2*u - 3*u**3 + u**3 + 3*u**3.\nAnswer: 17*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 b when four letters picked without replacement from {n: 4, w: 6, e: 2, u: 3, b: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 529555251 and -4.\nAnswer: 529555247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 33, 2, 4 in descending order.\nAnswer: 33, 4, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -10. Let a = u - -3. Let d(k) = k**2 + 3*k - 7. Let q be d(a). Solve -4 - 2 = -q*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 6. Let m(j) = 5*j - 6. Determine 3*m(g) + 4*w(g).\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7179, 28383, 63733, 113235, 176895, 254719?\nAnswer: 346713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 11*t**2 + 12*t + 12. Let k = 0 - -20. Suppose -3*y = -4*x + 34, -4*y - y + k = x. Calculate the remainder when p(x) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lajl when four letters picked without replacement from {w: 3, l: 3, a: 1, v: 1, m: 3, j: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -121*b**5\/20 + b**4\/2 + 5*b**3\/3 + 5*b**2 + 315*b. Is 6 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**3 + 75*u**2 - 152*u - 26. Let t(b) = -2*b**3 - 30*b**2 + 61*b + 10. Determine -5*c(s) - 13*t(s).\nAnswer: s**3 + 15*s**2 - 33*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1580641 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 1, w: 1, n: 2, o: 1, v: 1}. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 739.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43757, 44043, 44337, 44645, 44973?\n\"Answer: k**3 - 2*k**2 + 285*k + 43473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 20. Let w be j(15). Solve 1 = -w*g + q, 0*q = -q - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0232 + 0.0032. Let b = 4 + 1. What is the closest to -1 in s, b, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601239 or -13828480\/23?\nAnswer: -13828480\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17514 + 385205\/22. Let t = 1815\/2297 + 128014333\/22970. Let f = -5582 + t. Find the common denominator of f and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5831357 is divided by 462.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (11 - 12765\/115)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2489914 and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3660 = 5*l + r, -2202 = -3*l - 5*r. Let b = l + -476. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 925 and 1043215?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 81*d**3 - 3*d**2 + 8*d + 13. Let a = 10 - 17. Let x(p) = 40*p**3 - p**2 + 4*p + 6. Let h(o) = a*x(o) + 3*c(o). Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814 + 13009 + 2314 = 489*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 2 q when four letters picked without replacement from sqssuukqalsl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 208\/10 - (-3)\/15 - 2. Suppose 5*y + 16 = -2*z - 3, -y + 4 = 3*z. Sort z, -1, m in descending order.\nAnswer: m, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 3*a + 25. Suppose -7*x - 73 = -115. Calculate t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740916.6 rounded to the nearest 1000?\nAnswer: 741000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, 0 in ascending order.\nAnswer: 0, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 + 45*h**4 + 165*h**3 - 1085*h**2 - 4080*h - 2880 = 0. Calculate h.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9*h + 8. Let y(g) = -8*g - 7. What is -5*x(l) - 6*y(l)?\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/217012 and -1\/5736.\nAnswer: 1302072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*q**3 + 21*q**3 + 548*q**3)*(-q + 2 - 2 - 2 + 2*q + 2 + (1 + 2*q - 1)*(-4 + 5 + 1) + 2*q - 1 + 1 + q + 3*q - 2*q - 1 + 1 - q).\nAnswer: 4400*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -229 - -3?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(sqrt(51)\/sqrt(3))**2.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, j: 2, o: 2}. What is prob of sequence vjov?\nAnswer: 28\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 9)*1\/(-5)*-1. Let o be q\/(-7) + 6\/((-84)\/(-58)). Solve o*a = 5*f + 7*a + 19, -5*f - 2*a = 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/300*-10 + (-2632)\/(-5). Suppose 5*s + t = m + 149, -3*s + t + 404 = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8046 and 10728?\nAnswer: 32184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k - 4. Let u(s) = 3 - s**3 - 4 + 5*s**2 - 4 - s. Determine u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -855?\nAnswer: -2\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:54 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 46.6 and -63?\nAnswer: 109.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9164 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6*o - 6 = 0. Solve 4*r = r - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnni when four letters picked without replacement from qnnqniqnqq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966405026?\nAnswer: 2, 557, 867509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*m**2*z**2 - 261*m**2*z - z**4 + 3*z wrt z.\nAnswer: 96*m**2 - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*u + 0*u**2 - u**3 - 46*u + u**2 to w + x*u + s*u**3 + d*u**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*j + 36, 3*i = 5*j - 9 + 96. Suppose -3*x = x - 4*t + 28, 2*x + 4 = -3*t. Let k = i + x. Solve -4*h + k = -h + 2*c, -3*c + 21 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 33 = 6*y - 36 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1974.2 + -1724. Let w = -250 + x. Let y = -4.5 + 4. Put 0.4, y, w, -0.3 in decreasing order.\nAnswer: 0.4, w, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from myymymymayammmmmmy.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3\/7*h**2 - 5 + 4\/7*h + 2\/21*h**3. Factor z(j).\nAnswer: 2*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/24, 7 in descending order.\nAnswer: 7, 1\/24, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 7:26 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146.702393 + 146.7. Round t to five dps.\nAnswer: -0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 12171280*i\/3 + 12171278\/3.\nAnswer: 2*(i - 6085639)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 11*k + 12. Let n(h) = h**3 + 18*h**2 + 3. Let v be n(-18). Let s be (-2 + 5)*(-8 + v + 2). Give t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33363*w**4 + 3*w**2 + 1863*w + 3?\nAnswer: 800712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 16*j - 60. Suppose 70 - 28 = -6*m. Calculate the least common multiple of 8 and a(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271040 is divided by 67758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - 11101001011?\nAnswer: -11100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k)**(-5\/6)*(k**(-1)\/k)\/(k**(3\/5)\/k)*((k*k**3)\/k*k*k*k**(-1\/5))\/(k**(-2\/5)*k*k**1*k) assuming k is positive.\nAnswer: k**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35353767 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:57 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Let t = l - 3. Solve t*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {i: 3, z: 1, q: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 16. Let w(r) = -748*r + 748*r - 6*r**2 + r**3 - 5. Determine w(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0313 - 92644473.\nAnswer: -92644473.0313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1019, -1016, -1013?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.96. Let y = -0.16 + t. Let f be -1 - (1 + 1 + 1). What is the closest to 1 in -2, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276365 is divided by 7272?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 154 + -466\/3. Let i = 16415\/2 - 8207. What is the closest to -1\/40 in 3\/2, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 s when three letters picked without replacement from {r: 2, s: 3, z: 2, j: 3, m: 6}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + g + 18 = 0, 32278*x = 32275*x - 18*g - 210 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.72893ml?\nAnswer: 0.00372893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:43 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210210991.\nAnswer: 210210991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 - -238.99. Let c = m + 0.21. Let u = 2.12 + c. What is u rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-4 + -7 - (8 - (9 + 1))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78*5\/10 + 1 - (-4 + -6)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/((a**(-2\/95)\/a)\/a)))*a**(-2\/17) assuming a is positive.\nAnswer: a**(4689\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471056 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.4 + -8.4. Let h be (2\/20)\/(2*(-3)\/84). Sort h, 1, k in descending order.\nAnswer: k, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:19 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g = -58. Let v(c) = c**3 + 8*c**2 + 7*c + 5. Let y be v(-7). Suppose 0 = 5*x + 2*w - g, 0 = 3*w + 4 + y. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 11, s: 2, i: 5, u: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 340 - 112433204?\nAnswer: -112432314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 2.6. Let i = g - -11.3. Let r = -9.9 + i. What is the smallest value in -6, -4, r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 221*a. Let k(f) = f + 20. Let i(r) = -2*r - 32. Let b(c) = -5*i(c) - 8*k(c). Calculate z(b(y)).\nAnswer: 442*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-2 + -6 + (-3 + 7 - 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, u: 2, e: 2, r: 2, a: 2, g: 1}. Give prob of sequence ae.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 2*y + 2. Let f be v(0). Suppose -8 = -f*l - 2, 2*l - 42 = -4*b. Suppose 5*c = b*c - 388. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-6) + (-24)\/(-16))\/(3\/3). Which is bigger: p or -78\/109?\nAnswer: -78\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -479838621.00000009 + 479838616. Let v = c - -5. Round v to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4893 (base 12) to base 5\nAnswer: -230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 9 + 9)*(i - 2*i + 3*i).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, d: 2, q: 2, f: 2, o: 7}. Give prob of sequence kqk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 4. Let d(h) = h + 2. Let z(n) = 5*d(n) + 2*f(n). Let q = -361 + 119. Let g = q - -244. Let u(c) = -c - 1. Determine g*u(r) + z(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 434 (c) -2\/9 (d) -0.5 (e) -5\/3 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278738?\nAnswer: 2, 139369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-2380)\/(-612)) - 22*-1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/42 + (1435\/42 - 75\/(-30)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 5. Let y(x) = x**3 + 5*x**2 + 2. Let m be y(-5). Suppose -3*h - 56 = -4*r, 1 = r + 2*h - m. Calculate the smallest common multiple of s(r) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8482, -8483, -8484, -8485, -8486, -8487?\n\"Answer: -a - 8481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1288391 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*b = 7, -2*m - b + 3 = 4*b. Solve -5*t = -m*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -978*q*s**3*y + q*y - 3*s**3*y - 23*s - y wrt q.\nAnswer: -978*s**3*y + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-1 - 1) + (-33 - -39)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m - 13. Let a(i) = 29*i - 20. Let j(s) = -5*a(s) + 8*v(s). What is the first derivative of j(p) wrt p?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5605938665.\nAnswer: 5, 167, 6713699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.3441168 to one decimal place.\nAnswer: 132.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 18*f - 13. Suppose -5*g - 35 = -d, 2*g = 3*d + 23 - 63. Let b be j(d). Solve -9 = -4*o - n + 15, -o + 3*n - b = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 3*s)*(s + 97*s + 19*s)*(-1 + 1 - 1 + (4 + 0 - 1)*(1 - 2 + 0)) + 3*s**2 - 2*s - 2*s**2 - 3*s**2.\nAnswer: 934*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 41 (b) 3 (c) -5\/4 (d) -8\/7 (e) 0.1 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21666 divided by -3611\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-1 - 0)*6. Suppose 4*a - 76 = 2*v - 4*v, 3*a = -3*v + 105. Let p = k + v. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x + q - 3, -4*x - 5*q = -12. List the prime factors of (-4 - (x - 6))*-42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 + 894 = 87*k - 944. Calculate the greatest common factor of k and 19250.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 5*c - 80. What is the highest common divisor of 80 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**3 - 11*s**2 + 6*s + 58. What is f(6)?\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*a - 192 = 0, -3*v - 12*a + 576 = -17*a. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (127999*a - 127999*a + 686*a**4)*(-6 + 9 - 2) in the form k*a**3 + p*a + g + r*a**4 + u*a**2 and give r.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:54 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1. Let v be (0\/2)\/(7\/28*8). What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2270 = -1274*w - 3753 - 2471 - 2972 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.99165 + 0.00835. Which is the second biggest value? (a) t (b) 0.01 (c) -0.3 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 17*o**2 - 19*o + 19. Let r be p(18). Let i(s) = 12*s + 5. Let q be i(r). Suppose -12*f - 105 = -q*f. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.9, -1, 244, -26 in decreasing order.\nAnswer: 244, 0.9, 0.3, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_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: Evaluate 8 - (-1 - 4 - (-37 - -31)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10251821, -10251822, -10251823, -10251824?\n\"Answer: -a - 10251820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14144?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8417 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + 390\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024 divided by -46.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8 - (-6)\/(-72))*3. Solve 3*h - i*h = 5*p + 21, 5*h + 35 = -3*p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13254 = -2482*a + 2200*a for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131938?\nAnswer: 2, 41, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846*m + 1026*m = 1596*m + 6900 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 + 130*j**3 + 5 - j**3 + 155*j**3.\nAnswer: 300*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*m**5 + 35767*m**2 + 4818*m + 31?\nAnswer: -3420*m**3 + 71534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34772 + 1010 = 635*r + 358*r for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*p**3 - 519*m**3*p + 4*m**2 + 29*m*p**3 + 6*m*p + 14*p**3 wrt m?\nAnswer: -18*m*p**3 - 3114*m*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.195811 years to decades.\nAnswer: 0.3195811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 8. Let a = 7 - c. Let i be 27\/a*(-520)\/(-3). What is i rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a hour in seconds?\nAnswer: 13800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*n = -41, 3*q = -0*q - 2*n + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t - 97. Let k = t - -673\/7. Let v be -11 - (4 + 8 + -23). Is v <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6464*d + 1428536. Give q(221).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and 0.028.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1991\/7 + -285. Let v = -4.27 - 0.23. Let w = -0.5 + v. What is the biggest value in w, i, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0\/j**(-1)*j**(2\/5)*j*(j**(-5)*j)\/j assuming j is positive.\nAnswer: j**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -167\/2. Suppose b - k*b**3 - 1\/2*b**2 + 0 = 0. Calculate b.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 234993, 469320, 703651, 937986, 1172325, 1406668, 1641015?\n\"Answer: 2*m**2 + 234321*m + 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*11\/((-1001)\/14)*-2)\/2.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + 2*l**3)*(l - l - 2 + 2*l).\nAnswer: 4*l**4 - 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*j**2 + j**5 - 55*j + 32*j**2 + 16 - 2*j + 2 - 24*j**3.\nAnswer: (j - 3)*(j - 1)**3*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96\/7 + 14. Let s(h) = -h**3 - 5*h**2 - 5*h - 5. Let x be s(-4). Let z be 2 + 0 - (-34)\/(-14). Which is the nearest to f? (a) 0.5 (b) x (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 84 + 174 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7806.\nAnswer: 2, 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 1.8. What is the third smallest value in k, -6\/5, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 41. Let i(g) = g**2 - 6*g - 2. Let k be i(h). Suppose -2*w + 20 = 3*w. Is w less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 - 4*c - 4. Let q be x(-8). Let n = 49 - q. What is the remainder when 61 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u. Let i(a) = -1. Let x(s) = -s + 2. Let g(z) = 6*i(z) + 3*x(z). Give g(k(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 38 = -4*g - p, -2*p = 4*g - 18. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6670048 divided by 1232?\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/4, 32\/11, -2\/187, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iieeuiaeiwat. Give prob of picking 1 u and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v - 255. What is p(30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*m - 286637 + 286641 - m**3 + 2*m**2 - 1252*m**4 + m**3 wrt m.\nAnswer: -30048*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 4, d: 4}. What is prob of sequence cd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {g: 1, n: 7, c: 9, v: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2298, -2313, -2328, -2343, -2358?\nAnswer: -2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1 - 19*h**2 + 11*h**2 + 7*h**2 + h. Let j(i) = 3*i**2 - 5*i - 5. Let r(a) = a + 2. Let x be r(3). Give x*m(p) + j(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -307 - -307.00578. Round s to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/6 (b) 3 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w - 5. Let v(k) = 5*k - 4. Let s(y) = 4*d(y) - 5*v(y). Let a(r) be the second derivative of 0*r**2 + 1 + 19\/6*r**3 + 14*r. Give a(s(q)).\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 10*y**2 - 9*y + 7*y.\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o - 53. Is 31 a factor of y(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**7\/q*q*q)\/q*q*(q*q\/(q*q\/((q*q**(2\/21))\/q))*q)\/q*q)\/(q**2\/(q**2*q)))**(-19\/4) assuming q is positive.\nAnswer: q**(-4427\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -0*a. Sort a, -1, 5 in ascending order.\nAnswer: a, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*w**4 + 850*w**3 + 253*w**2 + 27485446 wrt w?\nAnswer: -24*w**3 + 2550*w**2 + 506*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2219 times 0.867\nAnswer: 1923.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q)*(-25*q - 3*q - 2*q) + 0*q**2 - 2*q**2 - 3*q**2.\nAnswer: 55*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26975 + -10?\nAnswer: 26965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0343921ns to microseconds.\nAnswer: 0.0000343921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**2 + 0 + 0 + 293*a**2.\nAnswer: 261*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 448247831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/12 - 10\/2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 19*d**2 - 248*d + 5357. Give p(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7024 is divided by 761?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 296646330 to the power of 1\/2, to the nearest integer?\nAnswer: 17223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.29 + 40.71. Which is the closest to -0.1? (a) 0.3 (b) -2\/3 (c) 0 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 1, j: 1, o: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - -4679?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from lellllollooeoe.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (19 + -13 - (-14 - -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -28. Solve 5*a - l - 27 = 0, -5*a + f + 8 = 4*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36166 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k**2 + 24*k + k**2 + 17*k + 7*k**2 + 22*k**2 to w*k + j + v*k**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 113910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122780956 is divided by 123027?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803445*o = 1803366*o + 1501 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u + 119*u + 41*u - 1282 = 9302 for u.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 4. Let i(d) = -d**2 - 5. Let k(j) = -5*b(j) + 4*i(j). Let a(t) be the second derivative of t**4\/4 - 3*t. Give a(k(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 4*b - 4*b)*(-3*b**2 + 5*b**2 - b**2) + 6 - b**5 - 6 + (-5 - 1 + 5)*(-2*b**4 + 2*b**4 - 2*b**5).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 324061 + 264?\nAnswer: 324355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*sqrt(891)*-1 + sqrt(66)\/(sqrt(600)*-2)).\nAnswer: 543*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3236, 3\/35, -3?\nAnswer: 3236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ededdeedrrereedrdd.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*h = 34, -h - 3*h = -4*c + 32. Let v = 8 + c. What is the remainder when v is divided by 0 + 5 + (-3)\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 7. Let b be t(-4). Suppose -4*k + b = -3*k. Suppose 5*z - 20 + 5 = -k*g, 0 = -2*g - 3*z + 5. Calculate the least common multiple of g and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:27 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - h - 20, 0 = 4*p - 3*h + 7*h - 40. Suppose -p*x - 5*w + 35 = 0, -w + 0*w = -4*x + 23. Is 29\/4 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/((-3135)\/(-484)))\/(((-3)\/9)\/(1\/2))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2933595 divided by 12.\nAnswer: -977865\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*p + 11265 - 10505 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148067 - -45752915\/309. Let t = -2\/103 + i. Find y, given that -1\/3*y**5 + t - 2\/3*y**2 - y + 0*y**4 + 4\/3*y**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 13*g + 11*g + 12, h - 5*g = -24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, 1\/3, 1.2, -0.4, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.047 or 2\/175?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/14460892 or 1?\nAnswer: -11\/14460892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**3 - 3*p**2 - 2*p. Give n(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -42*j**3 + 6*j**2 - 2*j - 5. Let u(m) = 42*m**3 - 5*m**2 + 2*m + 4. Let p(q) = -5*k(q) - 6*u(q). Find the second derivative of p(v) wrt v.\nAnswer: -252*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m - 78*m = 36 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1458*z - 2663*z + 1339*z + 3752 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75949?\nAnswer: 53, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387944958.\nAnswer: 2, 3, 64657493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 8*k**2 + 9*k + 7. Let f be m(-9). Let n(u) be the third derivative of u**4\/12 - 13*u**3\/6 - u**2. Let x be n(f). Solve x = -0*w + w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*i**4 - 31*i**3 - 84668*i**2 wrt i?\nAnswer: -2256*i - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-525)\/(-1400)*160\/(-132).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*116164.\nAnswer: 58082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/1)\/(8\/(-32)). Suppose -2*t + 2 = 2. Suppose t = -s*h + h. Is h at least as big as -1\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25872 divided by -8624.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/3 - 168*p**3 - 1016*p**2\/3 = 0.\nAnswer: -2, 0, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 700*y + 19121. Determine o(-28).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197165*a**3 + 100507*a**3 + 96661*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 + 11 = 0. Let v be 2 + 3\/((-12)\/8) + 3. Calculate the least common multiple of t and 6\/(1 - v) - -7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*k + 16, -u + 4*k = -5*u + 16. Suppose -u*p - 4*p = -3012. Suppose 146 = 18*n - p. What is the greatest common factor of 90 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f**3 + 6*f**2 - 8*f + 1. Let k(i) = -i**3 - i. Calculate 6*k(j) - p(j).\nAnswer: -19*j**3 - 6*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 + 1)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + sqrt(832) + 2*sqrt(832))**2 - (1 + ((sqrt(13) + (1 + sqrt(13))*4)*4)**2).\nAnswer: -448*sqrt(13) + 2047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**4 - 47 + 19*q**2 + 2*q**4 - 21*q**2 - 10*q + 48 in the form j*q**2 + t*q + v*q**3 + p + b*q**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16138090 is divided by 358620?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12076 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(14\/49 + 22\/(-28)). Suppose k*z + 50 = -50. Let m = 30 - z. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713 and 938618?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-2\/145)*(j\/(j\/(j\/j**1)))**0)**47 assuming j is positive.\nAnswer: j**(94\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1464*v. Let h(m) = -9902*m. Calculate f(h(s)).\nAnswer: 14496528*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 3177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + u**3 + 3*u**4 - 2*u**4 + u - 1 + 2*u**2 to v*u**2 + c*u + h + m*u**4 + b*u**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(120)\/(sqrt(24)\/(sqrt(18)\/sqrt(3))))\/(sqrt(160)*-2))**2.\nAnswer: -sqrt(3)\/4 + 67\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**6\/15 - 18*b**5\/5 - 17*b**4\/3 + 12*b**3 + 35*b**2 + 121*b - 13. Factor d(i).\nAnswer: -2*(i - 1)*(i + 1)**2*(i + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.96 + -0.04. Let t = -5 - h. Let i = 0.37 - -0.03. What is the closest to t in 4, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -85 (b) -2 (c) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -10)*266\/28. Suppose -5*t + i = 4*m, 2*t - m - 25 = -0*t. Let b be 24\/(-9) - (-1)\/(-3). Put -4, t, b in decreasing order.\nAnswer: t, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062991889 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.091*3.64.\nAnswer: -0.33124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqu when four letters picked without replacement from wuwuuqwwwuquuu?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066 plus -3044?\nAnswer: -3044.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 21946701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 3*p - p**3 - 6 - 6*p**2 + 8*p**3 + 4. Let f be m(4). Suppose f*w - 21*w - 6 = 0. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24339637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15551906, -31103811, -46655716?\nAnswer: -62207621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2981*27\nAnswer: -80487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(1100) + 0 + -3) + 2 + -2*sqrt(1100) + 4)*6 + -5)*1)**2.\nAnswer: -21240*sqrt(11) + 359881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:38 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7705653572 to the nearest integer?\nAnswer: 87782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -206721 and 18797?\nAnswer: 225518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 = 29*j + 25*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -180470849?\nAnswer: -180470824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -5 - (-12 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:38 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1\/2, -0.05, -3\/2 in decreasing order.\nAnswer: -0.05, -1\/2, -3\/2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42854400 divided by 14880\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 156, 3, -1, -5 in decreasing order.\nAnswer: 156, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 3*j**3 - 49*j**2\/2 - 32*j + 2606. What is r(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 62 = -4*w. What is the common denominator of -55\/189 and w?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2 - -1)*-8. Suppose -2 = -2*x, 0 = 5*m + x - 30 - 31. Suppose -m*f = -8*f - 20. Is f greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-8 - -9) - (-3 - 32).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552804 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + g + 8. What is the least common multiple of p(0) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 64. Suppose f = -6 + h. Find the third derivative of -11*i**2 + 15*i**6 + 6*i**2 - f*i**2 wrt i.\nAnswer: 1800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2225370958 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 26 + 14. Let m be l\/36 - (0 + -2). Is m less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(18)\/(-1*sqrt(32)))\/((sqrt(360)\/(sqrt(72)\/sqrt(6)))\/sqrt(10)) + 3)**2.\nAnswer: -4*sqrt(3) + 1027\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {x: 4, w: 2, r: 7, h: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 5.4546\nAnswer: -0.54546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -90, -89, -86, -81, -74, -65?\n\"Answer: v**2 - 2*v - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 12:04 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 2\/(-4)*0. Let g be (-8)\/(-14)*n\/4. What is the nearest to g in -3, -4\/3, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 0 - 1\/2*u**2 - 3\/2*u**3 + 1\/2*u**4 + 3\/2*u = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 11:30 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 22 = -2*q, u + 33 = -3*q - 3*u. Let p = q + 13. Suppose 3*r + p*g - 3 = 5, r - g = 1. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3 - 4*q**2 + 6*q**2 + 0*q**3 - 3*q - 5*q**3 + 6*q**3. Let b be f(-3). Let h(i) = 4*i - 1 - i**2 - 2 + 0*i. What is h(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (-1 - -9)) + 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/36 + (-4)\/(-8). Which is the nearest to m? (a) -0.4 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Suppose 2*v + m - 2 + 7 = 0, v = -m - 5. Let k(o) = v*o**2 + 4*o**2 - 3*o**2. Give k(n(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -177, -1 in decreasing order.\nAnswer: -1, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:16 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 25105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*n + 16. What is the smallest common multiple of n and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-14) - 405\/(-462) and 3\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z**2 - 3*z**2 - 2*z**2)*(-3*z + 3*z + 2*z**2) + 0*z**4 - 17*z**4 + 0*z**4 to the form q*z + l*z**4 + y*z**3 + n + r*z**2 and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231766?\nAnswer: 2, 115883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -14*d**3 + d**2 - d - 1. Calculate the remainder when (2\/2 + 0 - -1)\/(393\/11004) is divided by j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from nntntrtttznhhtzrf.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:07 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208242287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t. Let p(c) = -2967*c**2 + 344*c + 344. Let q(o) = -43*o**2 + 5*o + 5. Let h(s) = -5*p(s) + 344*q(s). What is h(r(d))?\nAnswer: 6192*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 325749*y**2 - 2280292*y = 0?\nAnswer: -325756, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 654715253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h + 1. Let t be x(0). Let k be ((-54)\/(-3))\/(t\/2). Let n be 8\/((9 - 7) + ((-46)\/12 - -2)). Calculate the greatest common factor of k and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259390*z = -1259347*z + 3096 for z.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*j + 1, -4*j = -3*d + 367. Let f = 9025 - 9014. What is the greatest common divisor of d and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 - 5*d**3 + d**3 - 22*d + 22*d wrt d?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, 448, 6, 1\/2, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45488 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -330\/13 in -2, -2\/5, 1\/2, -4.36?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2756 - 516?\nAnswer: -3070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose -2*b + 3*b - 9 = f. Let w = 24 - b. Solve -x = -4*s - 1 - w, 2*x = 5*s + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from dwxww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 22131?\nAnswer: 22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let p = r - 4.3. Sort 0.5, 0.3, p in descending order.\nAnswer: 0.5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.54 * 2.9254.\nAnswer: -1.579716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 306*v - 55. Let p be m(2). Let r = p + -181. What are the prime factors of r?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 3*x**2 + 2*x - 4. Suppose -3*o = o - 12. Let v(b) = -2*b**3 - 2*b**2 - 2*b + 3. What is o*g(r) + 4*v(r)?\nAnswer: r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 29. Suppose -5*s + 14 = 3*h, 0*h + 5*h - v*s = 90. What is the remainder when 167 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 620 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255*k**2 - 70385*k - 1380.\nAnswer: -5*(k + 276)*(51*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 4*m**5\/15 + m**4\/12 - 5*m**3\/6 + 59*m**2. Calculate the remainder when o(3) is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-280)\/5 + 36 + -26)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -21.9. Let g = j + 0.1. Let q = -68.6 - -68.5. Which is the closest to 1? (a) 4 (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20163 and 9108?\nAnswer: 5564988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1. Let h = -37 + 36. Let g(l) = -4*l - 5. Give h*g(k) + 4*i(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 2, a: 1, h: 1, d: 3, x: 3}. What is prob of picking 1 v and 1 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 8*g = -9*g. Let n = -237 + 238. Let r = 1 + 0. Solve -p + n + r = g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53433?\nAnswer: 3, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/144776686 and -127\/12.\nAnswer: 868660116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = f, f - 47 = -5*w - 2*f. Let o = 60 - 54. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 1. Let u(f) = 18*f + 7. Let t(q) = 4*o(q) + u(q). What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 13. Suppose 0 = -q*s - 2*s + 2*c - 20, 4*s + 24 = 3*c. Let l(z) = z**3 + 5*z**2 + 2*z - 4. What is l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(153)\/(5*(sqrt(9) - sqrt(144))) + (-1*sqrt(85))\/sqrt(5) + -3*sqrt(612).\nAnswer: -286*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**3 + 2392*k**2 - 802*k - 1596 = 0. What is k?\nAnswer: -399, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 - 246154*l\/3 - 6895448\/3.\nAnswer: 2*(l + 28)*(2*l - 123133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/4 + 2949*o\/2 + 41433\/4.\nAnswer: -3*(o - 1973)*(o + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1215199902 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10981 - 0.39019. Which is the closest to 8? (a) p (b) -0.4 (c) 1 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 35 = -5*a, 5*a + 5 = -3*g + 2*g. Suppose -5 = 3*z - g. Let i be 280\/126 + (-2)\/9. Solve 19 = d + 5*v, -18 = -i*d - 5*v + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 37. Let n = 21 - k. Suppose 0 + 0*r**n + 0*r + 1\/2*r**4 + r**3 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15782 minus -16?\nAnswer: -15766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -9*n - 99*n**2 - 105*n**2 + 203*n**2 - 15. Give b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000127866439 to 7 dps.\nAnswer: 0.0001279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -111\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.353555842 rounded to four dps?\nAnswer: 0.3536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + 10\/14. Suppose -4*c = 5*b - 32, 5*b + 16*c - 17*c - 17 = 0. Let d(k) = 3*k**3 - k**2 + 2*k - 1. Let f be d(1). Sort s, b, f in decreasing order.\nAnswer: b, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 380, -3, -24 in descending order.\nAnswer: 380, -3\/7, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5 - (-6 - (-10 + -2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 46 + 134. What is the highest common factor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141.67266*54\nAnswer: -7650.32364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 11634?\nAnswer: 11634.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*n - 22. Suppose m - 38 = -n. What is the remainder when 88 is divided by m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1. Let b(n) = 2*n**3 - n**2 - 2*n - 9. Let d(z) = b(z) + 6*i(z). Let r be d(2). Solve 4*f = -4*m, -3*f - r*m = 2 + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 4 + 4*f - 2. Let d(p) = 1. Let h = -97 - -98. Determine h*n(s) - 4*d(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17537143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*r + 28784768 + 19718747. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873680 less than -5?\nAnswer: -1873685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15 - (-183)\/30)*6. What is the second derivative of -115*u**2 + 223*u**2 - a*u**4 + 35*u - 108*u**2 wrt u?\nAnswer: -468*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209 a factor of 67140346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 675 in descending order.\nAnswer: 675, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3575, 3324, 2701, 1520, -405?\nAnswer: -3260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -80591717296179\nAnswer: 80591717296179.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 28*s - 3*s**3 - 72*s - 24*s.\nAnswer: -3*s**3 - 124*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-4)*(-317)\/3. Let u(s) = 3*s**2 + 6*s - 7. Let p be u(-6). Suppose -z = -2*q + p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/(-4)*-7*48\/420. Let c(k) = k**3 - 11*k**2 + 12*k - 17. Let x be c(n). Solve -x*z = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3, 901*z = 454*z + 452*z + 2*w - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 11*p + 26. Let i be f(-2). Solve 52*z = 48*z - i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 22 = 2*m, 4*m - 2*y - 24 = -0*m. What is the greatest common divisor of m and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Let g be (-4)\/2*(2 - t). Does 11 divide 2\/g + (-74)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69354.78 to the nearest 100.\nAnswer: 69400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/17)*k*k*k*k)\/k**(-5\/9)*k**(-9\/5)*k*k*k**(-16)*k)**(-44) assuming k is positive.\nAnswer: k**(307208\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3.39 + -43\nAnswer: -46.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16390, 32782, 49174, 65566, 81958?\n\"Answer: 16392*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f - 40. Let d(r) = 3*r - 20. Let y(a) = -7*d(a) + 3*u(a). Let z be y(6). Solve -4*v = z + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 23*j**2 + 41*j - 17. Suppose 0 = 8*b - 3*b + 105. Let t be l(b). Solve -t*u - 4 = -5*r + 36, -35 = -5*r + 3*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0.28, -11991, 1?\nAnswer: -11991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:34 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 545*m.\nAnswer: 5*m*(m + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349345 is divided by 21708.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 2686\nAnswer: 2685.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:25 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*a + 19. Suppose 0*f - 192 = -a*f. Does 32 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 570*p - 10 + 0 - 1 as t + l*p and give l.\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1561 + 1551. Sort a, -3\/8, -0.1.\nAnswer: a, -3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-60))\/((-15)\/(-150))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7490 - 7490 + 1842*n**2 + (2 - 1 + 1)*(2*n - 2*n - n**2))*(2*n**2 - 4*n**2 - 1 - n**2) in the form d*n + j*n**2 + u + h*n**4 + p*n**3 and give h.\nAnswer: -5520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133355*s**3 + 133503*s**3 - 266849*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let i(r) = -3 + 7*r + 3 + r. Suppose 2*a - 5*q = 17, 11 = 3*a + 4*q - 3. Let k(v) = -v + 7. Let h be k(a). Determine h*i(u) - 6*g(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0360727 * 0.5.\nAnswer: 0.01803635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 233*s + 675. What is q(-49)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 35. Factor 3*n + 6*n**3 - 3*n**3 + h*n**2 - 32*n**2.\nAnswer: 3*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 - 2*x. Let t = 117 - 99. Let k(i) = -7*i**2 - 9*i. Let f(o) = t*j(o) - 4*k(o). Let s(z) = -z. Give f(s(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 16727*d = 16724*d - 65, p - d = 17 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - 7) + 8 + 19 - 15) + 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*o - 6 + 36 = 0, -5*b = -2*o - 58. Let f be (-4)\/(-6)*(-18)\/4 + 0. What is the smallest common multiple of b and (52\/182)\/((-1)\/105*f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.2168282 to one decimal place.\nAnswer: 20.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2373, -32 in increasing order.\nAnswer: -2373, -32, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429035 is divided by 340?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g**3 - 14*g - 14. Suppose 0 = 3*c + c. Let v = c - 5. Let w(m) = -3*m**3 + 5*m + 5 + 0*m**3 + 0*m. Calculate v*z(l) - 14*w(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -565*x - 243.\nAnswer: -565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28149 - -42590. What are the prime factors of f?\nAnswer: 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50809 divided by -81.\nAnswer: 50809\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + sqrt(200)*2)\/sqrt(10))\/((sqrt(216)\/sqrt(9))\/sqrt(6)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008)*1 - sqrt(1008))\/(sqrt(9)*-1*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-56) - (-30)\/(-70). Let x = 74 + -664\/9. Sort o, 2\/11, x in increasing order.\nAnswer: 2\/11, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)\/i)**(-29)*(i\/i**(-13)*i)\/i*i**(2\/35) assuming i is positive.\nAnswer: i**(3537\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-6)\/(-18))\/((-1)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/4*-3*(-18)\/(-81)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7694*b**3 - 1915*b**3 - 2819*b**3.\nAnswer: 2960*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 0.0556?\nAnswer: -45.9444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-32 + 2) - (40 + -15 - 18)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-57)\/(-12). Let v be (-81)\/(-15) - 2\/5. Suppose -19 = -5*s - h, -v*s - 5*h + 13 + 2 = 0. Solve 2*c - 15 = u*o - 1, -4 = s*o - 4*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -14. Suppose -284 = -4*t + 12. Suppose -v*z + 269 = t. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15735.513 months in millennia?\nAnswer: 1.31129275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -108, -5 in descending order.\nAnswer: -5, -52, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 4*k**2. Let s be d(4). Suppose -2*p + 0*p = s. Solve y + n + 3 = p, -4*n + 2*n = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**2 - r. Suppose -7 - 5 = 12*p. Let l be m(p). Solve -l - 12 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = -2*v + 190, 0 = 4*g + 4*v - 184. Suppose 4*s = -4*n - 37 + 1, -n = 5*s + g. Let l = 18 + s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*w**4 - 4*w**3 + 3*w**2 + 6092*w - 24014085.\nAnswer: 52*w**3 - 12*w**2 + 6*w + 6092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - l + 6 + 15, 0 = -4*k - 5*l. Solve 3*c + 0*d - d - 9 = 0, -3*d = k*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.14, -0.4, 2, -2, -0.0733?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49019953 to the power of 1\/2, to the nearest integer?\nAnswer: 7001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 - 301.73. Let h = q + 1.8. What is the third biggest value in -0.5, h, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 910*c + 26324. What is i(30)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*f = 4*b + 1374, b + 339 = -2*f. Is (8\/12)\/((-5)\/b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220322014103 + -10?\nAnswer: 220322014043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from hxfhhfhhhohhiifhhhf?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*1\/(-5 + 2). Suppose 3*s + u - 8 = a, 2*s + 3*u - 6*u - 20 = 0. Solve -s = -5*f + f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*o*v**3 - 49312*m**2*o*v**2 - 2*m**2*o - 292*m*o*v**2 - o*v**3 - 56*v wrt m?\nAnswer: -2*o*v**3 - 98624*o*v**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 36\/3 - -2. Sort g, -1, 1 in increasing order.\nAnswer: g, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 33 = 9*g + 133, 5*m + 5*g = -80 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37097 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(980)*-1 + sqrt(980))\/(2*(sqrt(36)*-2 + sqrt(4))).\nAnswer: 7*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 1, j: 2, h: 1, l: 1, i: 8}. Give prob of picking 2 j and 1 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {i: 1, f: 2, z: 1, g: 2, s: 1, u: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5395*r**3 + 2*r**2 + 7*r - 5*r + 1214*r**3.\nAnswer: 6609*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 7) to base 14.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1223884550 divided by 1\nAnswer: -1223884550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - 5*n - 7. Let t(w) = -4 - 8 - 6*w + 4 + 4*w**3. Suppose 5 + 10 = 3*q. Let a(g) = q*t(g) - 6*i(g). What is the derivative of a(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*s - 2 = 0, 2*s - 9 + 7 = 2*z. Let j(u) = u**3 + 8*u**2 + 8*u. Let w be j(-6). Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*d**3*f + 4*c*d**3 + 199870*c*f - 2*d**3*f + 507845*d**3 - 4*d**2*f - 2*d wrt c?\nAnswer: d**3*f + 4*d**3 + 199870*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58080 + -400.\nAnswer: -58480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-844)\/(-64))\/3*-2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 144?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, x: 5, s: 1, u: 3, q: 1}. Give prob of sequence ax.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.1 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.2, -3, -5 in ascending order.\nAnswer: -5, -3, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from {i: 10, g: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3407950 and 21507?\nAnswer: 684997950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 20 (c) 25 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five sixths of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4140000 (base 6) in base 8?\nAnswer: 605640","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*s - 42 - 25 = 0, -2 = -2*s. Let j(b) = -b**2 + 7*b + 6. Let k be j(6). Let x = c - k. Solve -x*i - 5 + 1 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4 = -3*l. Suppose -4*p = -d + 7 - 18, 0 = -3*d - 21. Calculate the remainder when l is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*w = -124*w - 42 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711422247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 16*d + 7. Let j(u) = -3*u**2 + 7*u + 3. What is -5*j(r) + 2*o(r)?\nAnswer: 3*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 127 - 127.1. Let z be -7 + (-1 - -2) + 0. Which is the third smallest value? (a) z (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 2.3584.\nAnswer: 77.8272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 57. Suppose z + 5 = 2*h - 5, s*z + 65 = 3*h. Let t be z\/((-5 - -2) + 63\/27). What is the highest common factor of t and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -53*z. Suppose 156*g + 12 = 159*g. Suppose -o + 0*o = 3*x - 41, g*o - 124 = -2*x. Let t(d) = o*d - 10*d - 18*d. Give p(t(c)).\nAnswer: -53*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98991866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m + 13. Let c(i) = -19*i - 19. Let q(s) = -5*c(s) - 7*x(s). Calculate q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 199. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1466 = 5*n - 1841. Suppose -3*m + 3*r - 4*r + 82 = 0, 86 = 3*m - r. Let h = -13 + m. Calculate the highest common factor of n and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adprprkvavkvkarpaa. What is prob of sequence avd?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u + 287*u**2 - 316*u + 269*u. Let x(k) = 24*k**2 - 3*k. Calculate -3*j(p) + 35*x(p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**14)\/b)**(-3\/11) assuming b is positive.\nAnswer: b**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-11 + 5999\/546) + 2268\/91?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425925 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 32*k - 34. Let b be t(-17). Is b less than or equal to 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -10, 91, -8, -2 in descending order.\nAnswer: 91, 3, 0, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = -5*t + 1387. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(704\/17523 - 12\/(-354)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 2)*(3 - 1 - 4)*(12 - 4*d - 12) + (-1 - 1 + 4)*(-2*d - 2*d + 2*d) - 17*d + 161 - 161.\nAnswer: -53*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 0.247\nAnswer: 25.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + 17*v - v**2 + 13 - 16*v as k + o*v**2 + z*v and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 10.18. Let q = -8 - o. What is the smallest value in -0.2, q, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 9*b - 26*b**2 + 7*b.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36208, 73108, 110008, 146908, 183808?\nAnswer: 220708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 - 2*c + 8. Let m be u(0). Suppose -m*q + 2 = -14. Find g such that -281*g**4 + 637*g**3 + 92*g - 8 - 62*g**4 - 74*g**q - 304*g**2 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**3 - 13*u - 12. Let m(x) = x**3 + x**2 - x - 1. Let q(f) = -6*m(f) + o(f). Determine q(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 minus -5.4?\nAnswer: 385.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1830826, 1830899, 1831020, 1831195, 1831430, 1831731?\nAnswer: 1832104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1725 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153092 + 106092. What is j rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/3 + 3819171\/(-760). Let y = -20117\/4 - f. Find the common denominator of y and (0 - 2)\/((-8)\/(-178)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -3) + (1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let w(s) be the second derivative of 0*s**2 - 3*s - 1\/6*s**3 + 0. Give w(a(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w. Suppose p - x = 4*p - 126, 3*x - 42 = -p. Let a(j) = 2 + 5*j**2 + 27*j**2 + p*j - 42*j. What is l(a(i))?\nAnswer: -64*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 189, 476, 779, 1104, 1457, 1844, 2271, 2744?\n\"Answer: g**3 + 2*g**2 + 274*g - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9*-0.14.\nAnswer: 0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -1 + (-193 - -218)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.59 less than 52258991?\nAnswer: 52258991.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -93*k - 2. Let r(g) = -g + 1. Let x(f) = -i(f) - 2*r(f). Let u(s) = -2*s. Give x(u(n)).\nAnswer: -190*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {h: 1, d: 7, w: 6}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2456546.\nAnswer: 2, 1228273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(125) + (-1 + sqrt(125) - sqrt(125))*-6 - (sqrt(125) + 2*(sqrt(125) + -3)))**2.\nAnswer: -1200*sqrt(5) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:39 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -1\/5 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/366 and -77\/10.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = a. Let s(r) = r**3 - 6*r**2 + 7*r - 3. Calculate s(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -114*g**3 - g**2 - 3*g - 1. Suppose 4*j + h - 4*h = 2, 5 = -j - 2*h. List the prime factors of r(j).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2878057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1433)\/35)\/(-12 + 11). Let c = -239\/5 + y. Calculate the common denominator of -46\/5 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, -1, 1, 18 in ascending order.\nAnswer: -155, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13849 take away -6?\nAnswer: -13843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 2.6. Which is smaller: j or 19?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 6:21 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -97, 1, 3, 99 in decreasing order.\nAnswer: 99, 3, 2, 1, -97","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 19*c - 7. Let m be k(20). Let i be 5*1 - m\/(-9). Solve -i*f - f = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:25 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3210, 3217, 3228, 3243, 3262, 3285, 3312?\nAnswer: 3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -327 + 340. What is the remainder when 675 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 5)*(3 + 4*c**2 - 3)*(-2*c + 2*c - 2*c).\nAnswer: -48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.14 - -0.54. Let m = -14 - q. Let h = m + 0.3. Put 1, 3, h in ascending order.\nAnswer: h, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2017109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -247, -263, -285, -313?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2688*k + 5376. What is r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103304, -413137, -929514, -1652435, -2581900, -3717909, -5060462?\nAnswer: -6609559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7\/3)*i)\/i)**42)**43 assuming i is positive.\nAnswer: i**(-4214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10401536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602278727 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.489 plus 1?\nAnswer: 1.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 610512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 4\/((-4)\/3). List the prime factors of (1 - -26)*a\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 - 0.29. What is the second biggest value in -0.5, k, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 1 + 2351*m**3 + 10 + m + 2353*m**3 - 4706*m**3 in the form g + h*m**3 + c*m + b*m**2 and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 24, 0, 0.04, -1\/6, -6, -3 in decreasing order.\nAnswer: 24, 2\/9, 0.04, 0, -1\/6, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335330949.999847 + 335331108. Let i = -158 + f. What is i rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 2. Let v(s) = -s**2 - 27*s - 112. Let n be v(-5). Let t(l) = 4*l + 1. Give n*h(i) - 3*t(i).\nAnswer: -6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -2*p + p. Suppose -4*m - 59 + p = 0. Suppose -3*q - 353 = -4*s - m, 3*s = -5*q + 198. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggugguggggg. Give prob of sequence gg.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 - 0.04124. What is k rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/21, -56, -4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/13)*c)\/c**(-7))\/(c\/c**(2\/7))**(24\/5) assuming c is positive.\nAnswer: c**(612\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 464 + -461. Which is the nearest to -4? (a) -0.3 (b) -0.5 (c) -4\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5823756 is divided by 5458?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1788 - 2697. Let g = v - -913. Suppose 12 = 4*j - 12. Solve g*t = -z - j, -2*z - 2*z = 2*t + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 1. Suppose h = 2*c - 3. Suppose -5*b - 5*u + c = -3, 5*u = -b - 7. Solve 0*q - 6 = b*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + sqrt(2430) + -2*(sqrt(2430) - sqrt(2430)*-1) - sqrt(2430) - sqrt(2430)*-1*6)\/(-6*sqrt(490) - sqrt(250)*-3).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5. Suppose -u = -j - 0. Let z be (-40)\/1 + (0 - j). What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27685 and 245720986.\nAnswer: 5537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0537 and -0.1027.\nAnswer: -0.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 8:46 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 3, u: 5, b: 1, m: 1, z: 1, c: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2 + 1 + 0). Suppose 4*f - 14 - 22 = c. Solve -x + 2*m - 1 = 0, f*x - 4*x - 7 = -2*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p. Let f(j) be the first derivative of j**3\/3 + 8. What is f(h(u))?\nAnswer: 225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21070.774495 from 82.\nAnswer: 21152.774495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/19 - 5748692*o**2\/19 - 114974440*o\/19 - 574873200\/19 = 0. Calculate o.\nAnswer: -10, 2874366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 + 3 - 3 + 5*f**3 + 0*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/20 - 7*h**4\/12 - 7*h**3\/6 + 5*h**2\/2 - 73*h. Let p be (-46)\/8 - (-5)\/(-20). Give i(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 3:27 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.96 + -32. Let g be ((-2)\/(-5))\/((-2)\/25). Which is the third smallest value? (a) x (b) 1\/2 (c) g (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.63980702 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519 + 518. Let v(m) = m. Let u(q) = -q - 1. Calculate j*u(y) - 6*v(y).\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -2*g + 2*r + 68, -4*r + 176 = 5*g. Suppose -4*z = -20, z = -4*m - 3*z + g. Suppose 2 = 2*o - 4. Calculate the remainder when m is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -8.3, -778, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + c**2. Let f be p(-2). Suppose -6*x = -2*x + 16. Let v be -3*f\/x - -7700003. Round v to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1438480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3621 - 3532. Calculate the greatest common divisor of z and 4361.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2104693 and 7974.\nAnswer: 37884474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(3*sqrt(90)).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 9\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -0.3. Let m(j) = -j**3 - 5*j**2 - 2*j - 8. Let h be m(-6). Let d be 1 + 4\/(h\/(-18)). What is the closest to 0.1 in d, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i = -43*i + 4*l - 40, 5*i = -l + 44. Let r be (-4)\/16 + 81\/4. Calculate the greatest common factor of i and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14961 - 44882\/3. What is the fourth biggest value in -0.01, 4, 16\/11, b, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**3 + 13*l**2 + l + 42. Let p(d) = d**3 + 7*d**2 + 21. Let k(b) = -2*i(b) + 5*p(b). Let q be k(9). Solve -r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -49. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -3*g**8\/280 + g**4\/8 + 9*g**3\/2 + 17*g. Let k(n) be the second derivative of t(n). What is the derivative of k(z) wrt z?\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2944 and 3296?\nAnswer: 303232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-30))\/(4\/(-10)). Suppose -c + 5*y + 60 = o*c, -y = 4*c - 60. Calculate the greatest common divisor of 120 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*z + 1999. Let s be (-144154)\/72 - (-1)\/4. Let r = z + s. What is the common denominator of 103\/6 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5922243 divided by -1974081?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -55262\/403 greater than -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 36, 134, 324, 636, 1100?\n\"Answer: 5*w**3 + w**2 - 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 1.6?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231842, -231469, -231096, -230723, -230350?\nAnswer: -229977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 12*v + 1552. Suppose 12*l - 11*l = -v. What is the common denominator of 41\/12 and 3\/((-270)\/l) - 5\/25?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11350 is divided by 3696.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(3) - -1*sqrt(3)))\/(sqrt(9) + sqrt(441)*-1 + sqrt(441) + sqrt(441)).\nAnswer: sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**4 + 41*y**2 + 0*y - 145\/6*y**3 + 0 - 1\/120*y**6 - 11\/60*y**5. What is the first derivative of b(d) wrt d?\nAnswer: -3*d**2 - 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 13 (b) -2 (c) 3 (d) -4 (e) -1\/2 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.8 + 4. Round d to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and -85\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 254095 and 34977?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1a434?\nAnswer: 1a437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.54 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 78*j + 4. Let u be f(-26). Suppose -q = -u*d - 432, 0 = -q + 10*d - 5*d + 437. Is q a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 + 9. Let z be w(-7). Let g(a) = -a + 12. Let f be g(z). Let o be (14\/3 - 1)\/1. Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/c**(-4\/3))\/c))**(-13)\/(c**3)**(-2\/45) assuming c is positive.\nAnswer: c**(67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Suppose s*q + 6 = -2*q + 2*l, 4*q = -l - 10. Which is the smallest value? (a) q (b) -4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -422*d**3 - 5*d**2 - 9. Let l be b(7). What is l rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:26 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 60*s**3 + s**2 - 14*s + 82. List the prime factors of b(7).\nAnswer: 3, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 + 0.0661.\nAnswer: 158.0661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 186 = -6*a. Let m be a\/(-105) - 12\/(-28). Determine u so that m*u**2 - 4\/15*u + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*c**2 - 175306*c + 709230997 with respect to c.\nAnswer: -42*c - 175306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/24 + 5*d**3\/6 - 21*d**2\/4 - 4*d - 1. Let f(j) be the first derivative of o(j). Factor f(k).\nAnswer: -(k - 7)*(k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1461587 + -1462375.00025. Let c = 788 + j. Round c to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3601 is divided by 1970.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u + 11*u + 5*u)*(2*u**2 - 2*u**2 - 3*u**4).\nAnswer: -75*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9 + (-539)\/(-63))*3\/2)\/(5772\/702).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -47. Suppose -4*c - 5*k = -687, 3*k = -c + p*k + 165. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*x. Suppose x*d = 5*d - 10. Solve -6*s + 2*s = d*k - 16, k - 16 = -4*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l - 23*l - 6*l)*(-301 - 51*l + 301)*(-l + 2 - 1 + 3*l) in the form s*l + t*l**2 + u + d*l**3 and give t.\nAnswer: 1785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 859*d - 62723. Determine c(73).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -26438031951\/56208185 - -1378106\/2935. Let o be ((-2)\/8705)\/(-1)*(-75)\/(-15). Let s = l - o. Find the common denominator of -143\/6 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 3. Let v(w) = 405*w**2 - 3 - 407*w**2 + 3. Calculate v(c(k)).\nAnswer: -98*k**2 - 84*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279447248 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -418*o**3 - 2357 wrt o.\nAnswer: -1254*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((0 + sqrt(112))*4 + sqrt(112)*-2 + -4 + -1)**2 + -3).\nAnswer: -240*sqrt(7) + 1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -20, 4*u + 14 = -2*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2)*a)**(-4\/15)*(a*a\/(a\/(a*a\/(a*(a**(-1)\/a)\/a)*a)))**49)\/((a\/(a**(2\/5)*a))**(1\/17)\/(a**(2\/9)\/((a*a**(-1\/6))\/a*a*a))) assuming a is positive.\nAnswer: a**(446779\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.228 to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779983?\nAnswer: 779983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6))\/((-8)\/(-36)). Let k(m) = m + 10. What is the units digit of k(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -152, 0, -1, -5, -2, 3216 in descending order.\nAnswer: 3216, 5, 0, -1, -2, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.04 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -518 * -3.\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 3*w, 5*w = 2*w - 5*z + 7. Let j = -13836 - -13840. Solve -3*f - w*h = -8*f + 40, -j*h - 32 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(15) - (sqrt(180)*-3)\/sqrt(12))\/sqrt(3) + 3 + sqrt(405)*-5)**2*-4.\nAnswer: -33656 + 984*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (342144\/7392)\/((-6)\/(-7))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -14. Let g = -1 + u. Let o(t) = t**3 - 5*t**2 + t - 2. Let f be o(g). Calculate the greatest common factor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 29. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -160296, -160315, -160348, -160395?\n\"Answer: -7*t**2 + 2*t - 160291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432605 is divided by 286520.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-41)*(w\/(w*w**(2\/3)))\/w**(-2) assuming w is positive.\nAnswer: w**(-226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -24) + 77 + -222\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q - 642*q**2 + 249*q**2 + 393*q**2 - 16*q + 3*q**3 + 2 + 30*q.\nAnswer: 3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-28)\/(u*u\/((u*u\/u**9)\/u*u)) assuming u is positive.\nAnswer: u**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -11*l**6\/10 - 27*l**2 - 6*l - 3. Find the first derivative of r(w) wrt w.\nAnswer: -132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.3, 0.2, 2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 150*z**2 - 310*z**2 + 155*z**2 + 30 + 13*z. Let g(p) = 23*p**2 - 53*p - 121. Let v(l) = -4*g(l) - 18*s(l). Find j, given that v(j) = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1222606*b*d - 1269186*b wrt d.\nAnswer: 1222606*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 - 5*c - 3. Let i be d(-6). Let p = i + -25. Solve 2*q - b = q - 1, -5*q - 26 = p*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1045 - 1009. Solve -4*h + q = -4*z, 4*z - 20 = 8*z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(33\/66))\/(26\/(-3))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196250940 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (330\/(-77))\/(90\/(-210))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y - 308*y**2 + 5*y + 307*y**2 in the form m*y + x + p*y**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -6*f - 154. Let h = -19 - f. Suppose h = -8*y + 180 + 84. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102210122 - 220002212?\nAnswer: -110022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - r + 4. Let t be d(0). Let b(q) be the first derivative of 0*q**2 + 1\/8*q**t + 0*q + 0*q**3 + 2. Let b(h) = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n + 16, -3*n - 22 = 2*g. Let y = -3 - g. Let b = 5 - 5. Solve y*v + b = -10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12026 take away 7038?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2816*g**2 - 2822*g**2 + 50*g**2.\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 637*g - 11. Let d(b) = -3*b - 2. Determine -6*d(k) + s(k).\nAnswer: 655*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 25*t + 30*t)*(5 - 5 + 2).\nAnswer: 106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/y**17)\/y*y)*y)**(4\/13)*(y*(y\/(y**(-2\/21)*y))\/y)**(-12) assuming y is positive.\nAnswer: y**(400\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1209001 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 + 19*m**3 - 16*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than or equal to 10308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/11 - 54*r**4\/11 - 452*r**3\/11 - 816*r**2\/11 = 0.\nAnswer: -4, -3, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1476\/(-7380)*(-1)\/((-1)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from {e: 6, a: 4}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/8 + 54372\/368 is divided by 49.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, e: 6, f: 2}. Give prob of sequence ef.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.379322 millilitres?\nAnswer: 0.000379322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 11) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17702 and 209251.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4421*m - 243312*m + 179 - 179.\nAnswer: -247733*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1, -0.09, 8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3838065\nAnswer: -1\/767613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -913?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/17 or -11?\nAnswer: -192\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21660497 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 36*f**2 + 31*f - 132. What is q(35)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -16, 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/11177 - 58331\/27338942. Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 362 + -357. Let j(x) be the second derivative of x**3\/6 - x**2\/2 - x. Let w be j(p). Calculate the greatest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 > 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12547 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14163?\nAnswer: 3, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379.4 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/4)\/(11\/(-66)). Let b = f + 18. Let l be (-1)\/((-7)\/2 - b). Solve 6 = l*r + r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152969 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85 + 32 - 241*b + 26 + 26 to r + c*b and give c.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0583937 * -0.2\nAnswer: 0.01167874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-64)\/(-336)*((-12285)\/(-676))\/15.\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238757 to the power of 1\/2, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-15 + 28 + -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/3))**(-1\/23))**(3\/13) assuming r is positive.\nAnswer: r**(-1\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - 11.4. Let r = 18 + n. Which is the second smallest value? (a) 3 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 30*r + 1. Calculate x(-5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**2 + 146*z + 506. What is l(53)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-137514)\/(-615) + 6\/(-10). Solve 11*n + 278 = h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(50) - sqrt(200)\/sqrt(4))\/sqrt(5))\/(-4*-1*sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*f - 139, 5*y - 4*f = f + 215. Let d = y + -32. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1607 - 0.160695905. What is c rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(38)\/sqrt(2) - sqrt(76)\/sqrt(144) - (((sqrt(171) - (sqrt(171) - (-1*sqrt(171) - sqrt(171))))\/sqrt(9) - sqrt(171)*3) + 0)**2.\nAnswer: -2299 + 29*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 6. Let j be -1 + (m\/(-3) - (-80)\/(-24)). Let z be (8\/j)\/(1\/5). Is z != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 - 940*j**3 + 10800*j**2 - 42560*j + 56320 = 0.\nAnswer: 4, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 greater than or equal to 15730\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 17 (b) -15\/8 (c) 17.2 (d) -0.5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -243763?\nAnswer: -975052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/5 + 414*v**3\/5 + 7887*v**2\/5 - 441324*v\/5 + 3409068\/5 = 0.\nAnswer: -82, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*w**2 - 1296715*w\/2 + 324175\/3.\nAnswer: 5*(6*w - 1)*(9*w - 129670)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y**3 + y**2 + 2*y + 8. Let m be z(-2). Suppose -m + 100 = -w. What is the lowest common multiple of w and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3128.248 millilitres?\nAnswer: 3.128248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 8. Let b be a(7). Let u = -13 + b. Let k = u + 12. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000101101100101 (base 2) to base 3.\nAnswer: -10110220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10173724 (base 8) to base 6\nAnswer: -114150432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-8)*-1*25\/((-1025)\/(-328))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from bqgqonpg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55 - -77. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19397166 and 1236?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 3:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/424 and 17\/4664?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676379?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518, 532, 544, 554, 562, 568, 572?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1404, -6178, -15078, -28878, -48352, -74274, -107418, -148558?\nAnswer: -198468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4086 divided by -1362.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 8. Let x = -13 + v. Let r be ((912\/16)\/(-19))\/(7 - 6). What is the smallest value in -3\/5, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -20454\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**13\/i)\/(i**(-1\/6)\/i)*(i*i**0)**35)**(1\/23))**(3\/4) assuming i is positive.\nAnswer: i**(295\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 74 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6171 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:48 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 10*k**2 + 6*k - 3. Let w be f(-4). Suppose w = z - 20. Suppose z - 4 = r. What is the highest common factor of r and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + o**2 - 4*o)*(-3 + 1 + 1) + (-o + 0*o + 0*o)*(6*o + 2*o + 7*o) + (3*o + 2*o - 4*o)*(2 - 2 + 2*o) + 2*o**2 - 4*o**2 + 14*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 49*w**2\/2 + 10*w - 1. Suppose 0 = -3*x + 3*d + 48, 22*d - 27*d + 11 = 2*x. Is z(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 25*l**2. Let z be 2*(42518\/(-3))\/(4\/(-3)). Let s(t) = -2*t - 21259 + z. Calculate d(s(j)).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -5438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79439.46 minutes to seconds.\nAnswer: 4766367.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5371, -5381, -5407, -5449, -5507?\n\"Answer: -8*n**2 + 14*n - 5377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, -3, -27, -71, -141, -243, -383, -567?\n\"Answer: -d**3 - d**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4. Let f(k) = k + 1. Give 2*f(b) + o(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 + (-1)\/(-3). Suppose 0*p + t = -p. Is 0 + p + 2 + 32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0098281212862 and -3.\nAnswer: -3.0098281212862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19, -0.9, 1, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*v + d, -3*v + 8 = -2*v + 4*d. Does 5 divide v\/((-1)\/(-58)*-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/4 + 3\/4. Let x = m + -5. Let u be (-1)\/((-6)\/12*-9). Which is the smallest value? (a) x (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09104 - -0.0906. What is t rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/209 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.9 + -85.89921. Round x to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 1, -3, 3.\nAnswer: -32, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8584 and 32392?\nAnswer: 34756616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:41 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l. Let v(w) = -94*w + 45*w + 58*w. Give -6*o(i) + 7*v(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 7. Let i = 16.81 - -0.19. Let l = -16.5 + i. Which is the nearest to -2\/7? (a) 3 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1983.94 times 2.7?\nAnswer: -5356.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21873 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 11. Let c = -6 - o. Sort -5, 5, c in ascending order.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22142?\nAnswer: 2, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 6*j**2 - 6. Let v(b) = -b**3 + b**2 - 1. Let a = -22 + 23. Give a*k(o) - 6*v(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63024.16 years?\nAnswer: 63.02416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65568 and 47956730?\nAnswer: 47891162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 - (0 + -2). What is the second derivative of -2*d**v + d - 3*d**3 + d - 4*d wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/65 and -46\/91.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*z + 1095, -4*j + 3*j = -3*z - 219. Let c = j - 147. What is the second derivative of -c - 9*w + 6*w**3 + 72 wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4376257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75 (base 8) to base 14.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 13*g**2 + 5*g - 25. Let s be o(-11). Suppose 2*k = s - 16. Let w = k - 61. Calculate the highest common factor of 48 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 2*o + 9. Suppose -50 = -q - i, -4*q + i - 27 + 217 = 0. Calculate the remainder when q is divided by f(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -2866559.\nAnswer: -573311.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = 15*o + 358 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9423 = -601. Let i = -1430 + v. Factor -1\/4*a**i - 1\/2*a + 0.\nAnswer: -a*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20770 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000021937663 to seven decimal places.\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 1166*r**3 + 103205*r**2 + 577038*r.\nAnswer: -r*(r - 1249)*(r + 6)*(r + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 14 + 1 + k**2 - 1 + 5*k**2 + 1 + (2*k + 0 + 0)*(-3*k + 0*k + k) + 2 - k**2 - 2*k**2 + 4*k**2 as z*k**2 + r + m*k and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.9792 and 0.3.\nAnswer: 7.2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 115*t + 1600. Let v be l(37). Solve 8*u = -v + 43 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425))**2 + 0 + sqrt(2448) + 0.\nAnswer: 12*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176804*g + 176799*g - 15 = 5*n, 0 = 3*n - 4*g + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:54 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let l = n + 0. List the prime factors of 9 + (1 - -1)\/l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7\/11, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u - 165. Let m = u + -31. Solve c + m*z - 13 = 0, 5*c - c - z - 16 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*x + 67 = 272, -3*s + 112 = -4*x. Suppose 3*m - 23 = m - 5*z, -s = -3*m + 2*z. Is m*(-9)\/(-6) - 3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 17 + (-69 - -52) + (-10 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.507908 and 0.2.\nAnswer: 0.1015816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45634.43ml in litres?\nAnswer: 45.63443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 8*x + 895. List the prime factors of x.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 6. Suppose -27 = -8*t + 5*t. Let p = t + x. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(7) + sqrt(7) + sqrt(70)\/(sqrt(10)*-4) + sqrt(7) + sqrt(7)))\/((sqrt(2541) + sqrt(2541)*1)\/sqrt(7)).\nAnswer: 2*sqrt(3)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27152 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-17)\/a)\/a*a\/(a**8*a)*(a\/((a\/(a\/a**(21\/2)))\/a*a))**(-16) assuming a is positive.\nAnswer: a**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**4\/12 + 62*m**3\/27 + 14*m**2\/9 - 228*m. Factor b(p).\nAnswer: -(p - 14)*(9*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 11*g**2 + 34*g - 12. Let u be k(5). Suppose 21 = u*d - 59. Solve 6*v - 2 = d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905363?\nAnswer: 193, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - a + 46949 = 0, 0 = 2*o + 300*a - 301*a - 23473. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, 4, -2.\nAnswer: -2, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**2 - a**2 + 6*a**2 - 13*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6. Let i(l) = -l. Let r(z) = f(z) - 2*i(z). Does 10 divide r(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15847751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*v + 2*v + 2*v)*(-3 - 3 + 5) + 14*v + 13*v - 21*v - 48*v - 38*v + 70*v)*(-5*v + v + v) + (2*v + v - v)*(1 - 1 - 4*v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:57 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 31*p - 2. Let f be d(4). What is the second derivative of 122*y**4 + y**5 - f*y**4 - 2*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -85. Suppose -5*i + 279 + 271 = 0. Suppose -f*r = -30 - i. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 5*k**4\/12 - k**3\/6 - 3*k**2 - 1898*k. Let f(h) = -15*h**2 + 2*h + 17. Give -4*f(m) - 11*s(m).\nAnswer: 5*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 10*d**2 + 10*d + 16. Suppose 3*x + 2*x = 55. Let w be z(x). Let o = 88 + -82. Solve -o*g + 1 = -j - 3*g, 0 = -j - w*g + 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-108))\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:28 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23974219 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let v be i(-2). Let z = 36 - 26. Calculate the remainder when v\/6 - 258\/(-9) is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*(z\/(z*z**10))\/z*z*z**10 assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -1, 10*v + 10 - 4 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -34. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87041250?\nAnswer: 2, 3, 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11905 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + -6.54. Let z = -6.614 - r. Let y = z - -0.344. What is y rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-7 - 13) + 17 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o - 19. Let b be y(-9). Let z be (b\/(-20))\/((-6)\/(-15)) - -3. Let x be (-33)\/z + 4\/10 - -1. What is the second smallest value in -17, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, -2, -0.2, -147?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5\/16, -2\/13, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25*h**3 + 7*h**2 + 7*h - 3. Let z(r) = 12*r**3 + 3*r**2 + 3*r - 2. Calculate -6*a(x) + 14*z(x).\nAnswer: 18*x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 3 (c) 3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/1)*(29988\/51)\/42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/26 + 32\/(-39). What is the closest to n in -0.6, 1, 5\/4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 1. Let o be r(-1). Let u be 30\/252 - (-4)\/(-14). Is o at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25563*h = 25519*h + 440 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7637 or 7641?\nAnswer: 7637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114296 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142843772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 209601945 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a43a - -b4?\nAnswer: 9a532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -6, 4, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 2*f**2 - 10*f**3 - 3*f + 7*f as y + s*f + a*f**2 + u*f**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276 - -278. Suppose p = 3*k - 16. Solve -2*l = 2*a - k, -a - 10 - 12 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103 * -781.\nAnswer: -80.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2 + l - 1. Let s be z(0). Let u = 1 + s. Let i be (u\/(9\/(-3)))\/1. Which is the nearest to 1\/4? (a) i (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/8))**(-3\/22)\/(((n**(-1)*n)\/n*n)\/(n\/(n**13*n))) assuming n is positive.\nAnswer: n**(-2279\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:20 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19808 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90 + 0)*(-132)\/55. Let a be 1\/(3*3\/g). Let p = 0.6 + 0.4. Which is bigger: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1, 10 in increasing order.\nAnswer: -2, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27574 + -146?\nAnswer: 27426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1434?\nAnswer: -2\/717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:22 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 30. Suppose 9 = 5*q - 1. Suppose 0*j + 86 = q*j. What is the remainder when j is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 110038 and 110048 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in 17, 0.4, 3, 0.1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 133*d**4\/24 + 91*d**3\/6 - 2*d**2 + 8*d. Differentiate a(y) wrt y.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -11. Let v(j) = 0 - j**2 + d*j**2 + 1 + 1. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780 is divided by 45 + -6 - (-5 - -15).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2455858619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*n - 5*f, -66*n = -62*n + 4*f - 168. Calculate the smallest common multiple of 955 and n.\nAnswer: 8595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5*s - 6)*(-2*s - 2*s + s + 2*s - s - 3*s + (5*s + 0*s - 3*s)*(-1 + 1 - 2) - 1 + 1 + 2*s).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/157, -35, -13\/6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2500, -2478, -2456?\n\"Answer: 22*f - 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgqqw. What is prob of sequence hqgw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1765814 or -1765816?\nAnswer: -1765816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2992507 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 422*o**4 + 1264*o**3 + 838*o**2 - 4*o = 0?\nAnswer: -2, -1, 0, 1\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Solve -r*t = t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:25 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**2 - 120*q + 0 + 0*q**3 - 65\/6*q**4. Let j(x) = -x. Calculate n(j(u)).\nAnswer: -130*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.248*-1\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -139, -248, -351, -448, -539, -624?\n\"Answer: 3*h**2 - 118*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-495)*-6*8\/(-448)\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-13 + -1 - -2 - (-23 - -11)) - 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/15)\/(3\/50) + -3. Let j = -1 + 6. Sort q, -4, j in descending order.\nAnswer: j, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/4 (b) 0.3 (c) 1\/8 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-10) - -2)*(3757\/119 + -33).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8*w = 4*w + 2*w. Put 2, w, -4, 4 in descending order.\nAnswer: 4, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -25\/2*m**2 - 2*m + 7 + 20\/3*m**3 + 0*m**4 - 2\/5*m**5. Find the second derivative of i(f) wrt f.\nAnswer: -24*f**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-22) - (216\/44)\/(-18). Let z = -0.09 + -4.91. Which is the fourth smallest value? (a) i (b) -0.1 (c) z (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -26*p - 78. List the prime factors of q(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let z = -26 + 20. Let m(x) = 5*x - 9. Let k(f) = z*w(f) + m(f). Let o be k(-13). Solve -2*n - 3*g = 2*n + 27, 0 = o*n + 2*g + 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 341414, 682823, 1024232, 1365641, 1707050?\n\"Answer: 341409*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -222 - -230. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 32*z**2 - 51*z - 1. Let l be p(3). Solve -3*r - 146 = -l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 4, 2.8, 0.003?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222886.\nAnswer: 2, 111443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 580*q**2 - 39634*q - 355216.\nAnswer: -2*(q - 149)**2*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/10 + 6392633*r\/5 - 40865756672689\/10 = 0.\nAnswer: 6392633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2 = -11. Suppose 28 = -m*w + 7*w. Suppose -4*g = -3*q + 6*q - 8, q - 3*g - w = 0. Calculate the remainder when 9 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:51 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005787 rounded to seven dps?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(204) - sqrt(204)*1*5)\/sqrt(12).\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -36, -90, -176, -300, -468, -686, -960?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584286, -584270, -584254, -584238, -584222, -584206?\nAnswer: -584190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 - (-6)\/(-9). Which is the nearest to q? (a) -3 (b) 5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(168\/15)*(16 - (16 + -8)). Is 157 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 - (-4 + 3 + -1 - -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.99 + -13.05. Let x = -0.06 - d. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3324900 by 277075.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13607 to three decimal places.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 a when four letters picked without replacement from {i: 2, a: 12, g: 4, e: 1}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1596)\/399*234\/52.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -14\/5 (c) -5 (d) -1.3 (e) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(3\/7))\/(o\/o**(-6)*o))**(-31)\/((o*o**2*o*o)**(7\/2)\/(o**(-6)*o*o**(-6)\/o)) assuming o is positive.\nAnswer: o**(2811\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 0.4, 5, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2)*1)\/7. Does g = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1261613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyw. Give prob of sequence wh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413292 divided by 3.\nAnswer: 137764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80431319*c**3 + 1183*c**2 - 76081*c.\nAnswer: 482587914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1276 and -0.062372?\nAnswer: 79.586672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 238 - -22. Suppose 8*j = 44 + a. Calculate the remainder when 74 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*d + 188*d = 74*d + 189 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + 2*g**2 - 49*g + 1. Let o(a) = 9*a**3 - 5*a**2 + 97*a - 2. Give 7*d(l) + 3*o(l).\nAnswer: -l**3 - l**2 - 52*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/120 + u**4\/24 - u**2\/3 - 69*u. Factor i(o).\nAnswer: -(o - 2)**2*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31236 or 31235?\nAnswer: 31235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 3*t**2 - 2*t**2 - 2*t**2 + 2*t**2 - 2*t**2 + (-1 + 0 + 0)*(-3*t**2 - t**2 + 3*t**2) - 3*t**2 + 104 - 104 + 3*t**2 - t**2 + t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**6\/6 + 2*j**4\/3 + 4*j. What is the third derivative of b(d) wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 2*r - 2. Let h be t(1). Let p = -0.31 + 0.01. What is the nearest to h in 0.03, p, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2. Let u = -67 + 73. Let k(m) = -2*m + u*m - 2*m - m. Give k(s(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 0*t + 2*t + 5 - 5 - 2*t + (-5 + 1 - 2)*(-1 + 2*t + 1) as f*t + g and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 378174 + 379271?\nAnswer: 757445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 4*l - 8. Let y be v(4). Calculate the greatest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 1168 = -279*m. Determine u so that 0 + 2\/5*u**m - 8\/15*u - 26\/15*u**3 + 32\/15*u**2 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9109, 36429, 81969, 145729?\n\"Answer: 9110*m**2 - 10*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3751.3 + 3751. Which is the second biggest value? (a) 320\/7 (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4650825, -9301644, -13952463?\n\"Answer: -4650819*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*p + w, -p = -4*w - 8 - 14. What are the prime factors of (2\/(-5))\/(p\/(-30))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1588.186 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -54, 0.2, -5, -6\/7, -3, -151?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 1, s: 1, l: 2, o: 5}. Give prob of sequence olo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-4403 + 4371 - (-211 - 0))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 21500*i**2.\nAnswer: i**2*(i + 21500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2787661\/6 and 464609 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 - 1 = 0. Let r be h*((-1 - -1) + -1). Suppose -16 = -3*u + c, -r*u + 0*c = 3*c - 24. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2244234 + 10?\nAnswer: -2244224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -763*l**3 + 50 + 5*l - 50 + 764*l**3.\nAnswer: l**3 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 15. Let t be j(7). Let d = t - 9. Solve -w = -d*f + 3, -2*w = 2*w - 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -31\/4, 5 in ascending order.\nAnswer: -31\/4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**4\/z*z*z)\/z*z)**(-2\/49)\/(z**(-8)*z**(-2\/3)\/z) assuming z is positive.\nAnswer: z**(1385\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11155386.\nAnswer: 2, 3, 11, 173, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.031535 and 0.01?\nAnswer: 0.00031535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*m - d = -809*m + 6, -12*m = -2*d - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1357\/262073 or 1?\nAnswer: 1357\/262073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -20 + 7 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j - 52 + 7. Sort 6, 0, j in descending order.\nAnswer: 6, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 4*o**3 + 0*o**3 + 11*o - 1 - 10*o**2. Let d = 7 - -2. What is the tens digit of a(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 418.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(1 + 2 - 2 + (0 - 2 + 1)*(-4 + 2 + 0) - 2 - 2 + 3)*(3*x - 3*x - x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 53286602 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 996 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*d - 5*d + 944, -2*l = 4*d - 764. Suppose 586 + 876 + d*j + 343 + 5*j**2 = 0. Calculate j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*27357125.\nAnswer: 27357125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*i + 1076*i - 266*i - 253*i - 255*i.\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-20)*(0 - 5). Let g be (9\/(-12))\/((-102)\/16 + k). Find y such that 15\/4*y**3 + 0 + 9\/4*y**4 - 9\/4*y**g - 3\/4*y - 3*y**5 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 250 + -247. Let u(j) be the first derivative of 5 + 0*j**2 + 5*j + 1\/3*j**y. What is u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9609, -5, -13, 2, 0 in descending order.\nAnswer: 9609, 2, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 46 = 129 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - (-27)\/(-5). Let k = f + 2. Let m = 15\/47 + 2\/141. Put k, 0.4, m in ascending order.\nAnswer: k, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -642*v**3 - 3*v**4 + 64 + 644*v**3 + v**4 + v**4 to n*v**2 + y*v**4 + l + c*v + i*v**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5099032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10202 is divided by 461?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 100.162, 5.\nAnswer: -0.4, 5, 100.162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - 2.1. Which is the biggest value? (a) m (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 + -2 - -6) - (-3 + -12 + 10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -79, -119, -151, -169, -167, -139?\n\"Answer: s**3 - 5*s**2 - 34*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwodjljjjk. What is prob of picking 1 k and 1 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - h + 432. Which is smaller: h or -34?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19212 take away 2?\nAnswer: -1.80788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*x = -8, -x + 16 = -5*v - 2*x. Let d(b) = 12708*b - 4. Let s be d(v). Let q = -8872 + s. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/47931631 and 81\/348593680.\nAnswer: 3834530480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 - 0.6. What is the second smallest value in d, 2\/3, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -18. Let k(b) = 5*b - 9. What is the remainder when k(4) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:24 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 77*x**2 - 1343*x - 1342. Determine o(-1).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -354876 * 1\nAnswer: -354876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 6*a**2 - 7*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*g + o + 16, -4*o + 24 = 5*g. Suppose -13 = -3*p - 1. Suppose -g*t + 5*c = -69, 29 = p*t - 2*c - 37. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -7\/6*k**3 + 190*k**2 + 0*k + 9\/32*k**4 + 0 + 1\/240*k**5. Factor i(w).\nAnswer: (w - 1)*(w + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 191874438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 16*w**2 - 32*w - 10. Give h(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p\/(((p*p**9*p)\/p)\/p))*p)\/p)\/p*p**(1\/3)\/p*p*(p*p**(2\/7)*p)\/(p\/(p\/(p*(p*p\/(p*p\/(p\/p**(2\/27))*p))\/p*p))))**(-5))**44 assuming p is positive.\nAnswer: p**(-444620\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264261034 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2685 is divided by 409?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 3, 6, 32, 9, 0 in descending order.\nAnswer: 32, 9, 6, 3, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2, -2\/9, 0.01, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*r**3\/5 + 2319*r**2 - 3736488*r\/5 + 1244208\/5 = 0. What is r?\nAnswer: 1\/3, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*s**4\/7 + 115882*s**3\/7 - 25233957*s**2 - 167451100*s\/7 + 9302500\/7 = 0. Calculate s.\nAnswer: -1, 1\/19, 3050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-4 + (-8 - -1 - (6 + -14))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-217)\/93 + (-8288)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219504, -219379, -219254, -219129?\nAnswer: -219004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -108.9 and -3?\nAnswer: 326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*2\/(4\/(-41)). Let x = -56 + z. Suppose -277 = -r - x. List the prime factors of r.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56190 divided by 5\nAnswer: 11238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*u = -27*p + 25*p + 2430, -50 = 5*u - 4*p for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -73*k**2 + 25*k**2 + 44*k**2. Let g(c) = -41*c**2. Calculate g(o(h)).\nAnswer: -656*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 366?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 2 - 2)*(3 - 1 + 0) + 215 - 56*p - 215)*(4*p + 3 - 3 - 1).\nAnswer: -232*p**2 + 58*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -2\/7, -0.35, 1, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -0.4, -2062\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1) + (-2 - -2). Let u be (-4)\/(-3)*3\/z. What is the units digit of -4*u*(-9)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/13 (b) -0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27098.008 - 27201. Let i = v - -103. Let x = -0.122 - i. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 131 (c) 6 (d) 2\/3 (e) -4 (f) 0.2 (g) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 6*z**2 - 4*z + 3. Let d be u(-5). Let p = 1 - d. Find the second derivative of 14*r**3 - 58*r + 44*r - 35*r**p wrt r.\nAnswer: -126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 25. Let q be h(-13). Let p be 0*(q - (3 + -5)). Which is the second biggest value? (a) -4 (b) -0.4 (c) p (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40908*g - 31861*g = -922794 for g.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (81\/((-16443)\/(-232)))\/((-3)\/84)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255926229 a multiple of 7417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -30 + 44 - 19 + 33*h. Let g(u) = -6*u. Give x(g(b)).\nAnswer: -198*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 143909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192775 and 6839657.\nAnswer: 170991425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:03 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.8030261 centuries?\nAnswer: 8.030261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-1)\/(-2))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:06 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 9*s + 2. Let y be k(-6). Suppose -2*t - y = 3*t. Let w(a) = -1. Let u(l) = 2*l + 7. Let n(g) = -u(g) - 6*w(g). Determine n(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/116 and -41\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7525574 divided by 7525574?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-91)*(-4)\/(-20)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/5 - 773*i**3 + 7929684*i**2\/5 + 49635754576*i\/5 + 53200538554048\/5 = 0. Calculate i.\nAnswer: -2468, 3539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 23*i**2 + 25*i - 96. What is t(-24)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10*d + 2216734 = -18*d, 0 = 2*u + 3*d + 886694. What is u rounded to the nearest 10000?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-5))\/((-1)\/2). Sort 4, 0, p in descending order.\nAnswer: 4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095807 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.36 - 0.36. Let r = -85 + f. Which is greater: 0.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2017173 (base 8) to base 4.\nAnswer: 2001321323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -6*n. Let y(w) be the second derivative of 1\/2*w**3 + n*w**4 + w + 0 + 0*w**2 - 3\/20*w**5. What is the second derivative of y(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60480 is divided by 335?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*o - b, -b + 6 - 3 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 28645.\nAnswer: -2\/28645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208929 - -208930.84. Let s = -0.2 + 0.1. Is l equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwewwwe. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 343015.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/9)*s\/s**(1\/3)*s\/s**3*s\/(s*s**(-6)))**(-2\/3) assuming s is positive.\nAnswer: s**(-82\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10707, 0.3, 4.\nAnswer: 0.3, 4, 10707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + 0.3. Let j = -163\/246 + -1\/246. Which is the second smallest value? (a) m (b) j (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 653?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 12:25 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/4 + 2*f**3\/3 - 5*f**2\/2 - 4*f + 2. Let r be n(-3). Solve -r*p + 3*k + 15 = 0, 0*k + 3*k = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/60 - b**4\/24 + 5*b**3\/6 + b**2. What is the remainder when s(0) is divided by 2\/8 - (-7)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -379252 or -379253?\nAnswer: -379253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -102*c - 302. Let n be z(-3). Let y(h) be the first derivative of 0*h**2 + 0*h**5 - 1 + 0*h + 9\/16*h**n + 1\/2*h**3 - 1\/8*h**6. Factor y(x).\nAnswer: -3*x**2*(x - 2)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-71)\/(-3))\/(9\/(-81)). Suppose -2*s - 357 = 3*p, 4*p + s - 2*s + 487 = 0. Let n = p - g. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 7, r: 6}. What is prob of picking 4 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.305 in -4, -2, 3\/4, -0.12, 423\/7?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let w(k) = 176*k**2 - 28*k. Let q(t) = 32*t**2 - 5*t. Let a(b) = 28*q(b) - 5*w(b). What is j(a(v))?\nAnswer: -256*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + 27. Suppose 3*p - i = -22. Calculate the smallest common multiple of 20 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from dddqqhjudd.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77) + 1*sqrt(77)*4)\/(sqrt(315)\/sqrt(5) + sqrt(7)) - ((-2*sqrt(110))\/sqrt(10) + (sqrt(539) - 4*sqrt(539))))**2.\nAnswer: 26411\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-4 + 8 + -1) - 39?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 41*w**3\/3 - 2925. Let u(t) = 6*t - 5. Let c(m) = -m + 1. Let x(k) = -5*c(k) - u(k). Calculate x(p(l)).\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 434.4 - 398. Let p = c - 36. Let v = -0.54 + -8.46. What is the smallest value in -0.3, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4171978 take away 8084561?\nAnswer: -12256539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -5 (c) -2 (d) -3 (e) -986\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354\/5 - -1939\/30. Let w = 19603741\/297 - 66006. Calculate the common denominator of w and b.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 13*r - 13. Let n = -12 - -21. What are the prime factors of s(n)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 - j - 1. Let t be x(3). Suppose -c + 3*u - t = -3*c, 0 = 4*c + 5*u - 26. Suppose 5*h = -3*s - 2 + 8, 2*s + c*h - 4 = 0. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -708964*x**2\/7 - 786428*x\/7 - 218089\/7.\nAnswer: -(842*x + 467)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 602 = -33*c + 656. What is the greatest common divisor of 407 and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f*n**3*v - 2*f + 3*n**3*v - 28*n**3 + 52*n**2*v + 2*v wrt n?\nAnswer: 12*f*v + 18*v - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -433\nAnswer: -38\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 5*s + 9. Let r be g(6). Find the common denominator of -115\/18 and 155\/r*(-3)\/(-66).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-10)\/c*c*c**(2\/9))\/(c\/c**(-2\/7)*c)**(-40))**(3\/10) assuming c is positive.\nAnswer: c**(5207\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 15. Suppose 0 = -5*v + y + 877, 0*v - s*y - 531 = -3*v. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 9*n + 32. Let d be p(-12). Let o = 121 - d. List the prime factors of o.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k. Let v(y) = 9*y + 1. Let x(b) = -5*s(b) + 3*v(b). Let d be (4\/5)\/((-4)\/(-10)). What are the prime factors of x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279791 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 137*x**2 - 140*x + 579. Calculate l(136).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3561 is divided by 335?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(96) + 2*sqrt(96)))\/(sqrt(6)*1*3))\/(sqrt(32)\/(sqrt(12)\/sqrt(3)*4)*-4).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 460*s - 399. Let v be f(-58). Which is smaller: -0.9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 - 2*m. Let u = 176 + -125. Let g(j) = 8*j**3 + 9*j**2 - 17*j. Let k(n) = u*z(n) - 6*g(n). What is the third derivative of k(s) wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 2*a**4 - a**4 + a**4 - 3*a**4 + 0*a**4 + (-1 + 1 - 3*a)*(-3*a**3 + 3*a**2 - 3*a**2) - 3*a**4 + 3*a**4 - 2*a**4.\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -74. Let n = o - -53.00000061. What is n rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2058, -8, -4, -114 in descending order.\nAnswer: 2058, -4, -5, -8, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*4887321.\nAnswer: -11729570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 504 = 126*w - 51*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 217, 469, 817, 1261, 1801?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 558, 2070, 4586, 8100, 12606, 18098, 24570?\n\"Answer: -g**3 + 508*g**2 - 5*g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 3*u**2 - 6*u**2 + 2*u**2 + 2 + u. Let q be l(-1). Let x = 0 + 0. Solve x = -q*v - 3*z + z - 8, 2*z = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89548 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h = h + 47 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 6*g**2 - 6. Suppose 31 = -4*w + 7. Calculate n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -317421 * 0.1.\nAnswer: -31742.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 2340 = -4*n + 4*f, f = -2. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 q, and 1 x when four letters picked without replacement from ylnfnnxqqqlnflf.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139043, 278148, 417253, 556358, 695463?\n\"Answer: 139105*s - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**2 + 837616 - 837616.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4201272?\nAnswer: 2, 3, 23, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2512*o = 2455*o + 59223. Solve -o = 9*v - 994 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 22*q - 6*u = -16 - 20, 3*u + 0 = -12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1486 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*b**4 - 11*b**2 - 2 + 5*b**2 + 15*b**4 as y*b**3 + j*b**4 + m*b + s + l*b**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m - 13. What is h(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/96*24*(138\/(-65) - -2).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbbhlbhlhhbl. What is prob of picking 3 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 divided by 165514?\nAnswer: 187\/165514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 5*j - 6. Let k be c(-6). Let r = k + -24. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/11434 and 50\/9.\nAnswer: 102906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -11121?\nAnswer: 11114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -36 - 6 - -606*18\/621\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -2.234. Let v = f + 0.019. Round v to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40301562 to the power of 1\/2, to the nearest integer?\nAnswer: 6348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-42)\/(x\/(x\/((x**(2\/5)*x)\/x))*(x**(-5)*x)\/x))\/(x**(-3)\/(x**2\/x))**(-1\/37) assuming x is positive.\nAnswer: x**(-6939\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 + 1\/(-5). Suppose -2*m + 36 = 2*m. Suppose s = 5*i + 5*a - 35, 5*i + a - 6 - m = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 21 (c) 7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -158 - 1?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 55 - 42*x + 46*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 221562 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.2, 701, 115\/3?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 53*t**5\/10 + t**4\/2 - 5*t**3\/3 - 3*t**2 - t. Let u be o(-7). What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225*-0.3\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/279 and -49\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*u**2*x**2 + 2*u**2*x - 70235*u + 1456*x**2 + 9562*x wrt u?\nAnswer: -50*u*x**2 + 4*u*x - 70235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5969790013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1267014794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 225 (b) 7 (c) 5\/6 (d) -4 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 3*j - 3. Suppose -3*u - 18*u + 105 = 0. Suppose 4*b - 2 = u*c, 10*b - 15 = -3*c + 7*b. What is i(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015605 less than -14?\nAnswer: -14.015605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 7*p**3\/6 + 2*p. Let y = -9 + 5. Let a = -5 - y. Calculate q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/36 - (-2)\/24. Suppose 0 = -5*n + 3*y - 28, 40*n - 2*y = 38*n - 8. Which is the third biggest value? (a) n (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + (sqrt(425) - sqrt(17) - sqrt(17)) + 0)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 + 8*z - 29. Let u be a(-7). Is u != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 21 = 5*s, -4*p - 8 = -0*s - s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 882670, 882671, 882672, 882673, 882674, 882675?\n\"Answer: a + 882669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/24*2 - 78\/(-2496)*-504 - 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 9136?\nAnswer: 45680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 33*x**2 + 34*x - 13. Calculate q(-34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*i = 32, 3*i = x - 2*i + 11. Suppose 2*s = 2*o + 4, x*o + 1 = -15. Sort s, 8, -1.\nAnswer: s, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 834*u**2*x**3 - u**2*x**2 - 3*u*x**2 wrt x.\nAnswer: 5004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n\/n**6*(n\/(n*n\/n**(1\/4)))**(-36)*((n\/(n\/n**(-4\/5)))\/n)\/n**6*n**(-1\/3)*(n*n\/((n\/((n**(-4)\/n*n*n)\/n))\/n))\/n assuming n is positive.\nAnswer: n**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105\/118 - 97\/118. Let a = 0 + 0. Is a < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 49*z - 70*z + 3*z - 5*z + 4*z + 0 + z + 0 + (2 - 1 + 0)*(-2 + 2 + z) + 11*z + 6*z + 4*z in the form b*z + d and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334267*a**5*w**2 - 2*a*w - 83374*w**2 wrt a?\nAnswer: -6685340*a**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/18 and -71\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/3 and (-2 - 27\/(-12))\/((-4239)\/1584).\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15177*z - 211 + 7588*z + 7590*z.\nAnswer: z - 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/48 and 5\/162.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64965 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71 + -103?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:35 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 13. Determine i(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -324 - 2?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.307, -18.2, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -24*b**5 + 3*b**3 + 27*b - 3. Let w(i) = -23*i**5 + 4*i**3 + 28*i - 4. Let x(v) = -4*p(v) + 3*w(v). Find the second derivative of x(d) wrt d.\nAnswer: 540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1280800305 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*l**5 - 3*l**5 + l**5)*(6 + 6 + 4).\nAnswer: -528*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 192*r**2 + 24*r - 24. Let k(l) = -l**2 + 2*l - 2. Calculate -j(w) + 12*k(w).\nAnswer: -204*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -98, -129, -162, -197, -234, -273, -314?\n\"Answer: -x**2 - 28*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 8*s + 16. Suppose o - 4*c = 0, -3*o + 4*c - 17 = -1. Let u be w(o). Let r = u - 15. Let t(q) = 4*q**2 - 2*q + 1. What is t(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = v - 2*i, -4*v - 5*i + 1 = -6*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:56 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1761358326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 930 divided by 186\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 11. Let p be 2\/(-7) - 2176\/(-119). Let s be (-117)\/p + (-3)\/(-2) - -10. Calculate f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2485 + 2971. Calculate the remainder when s is divided by 171.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52.46 + 52.26. What is the closest to -1.3 in o, -0.4, 0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3165559.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o - 30. Let t be (-4)\/(-10) - 258\/o. Differentiate -2 + t*x**4 + 4 + 14 with respect to x.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9) - ((sqrt(9) + sqrt(36))*-6 + sqrt(9) + sqrt(9) - sqrt(9))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/54*-3)\/((-2910)\/(-3880))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 14040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-7)\/(-8)) - -3. Let b(q) = -107*q + 2. Is b(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 696 = 81. Let l be (-3)\/(-6) + (-34)\/4. Let r = l + t. 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: Expand (6*y**3 - 3*y**3 - 2*y**3)*(-4 + 4 + 2*y) + (-4 + 1 + 4)*(-736*y**4 - 271*y**4 - 291*y**4) + (-2*y + 6*y - 2*y)*(-1 + 1 - y**3).\nAnswer: -1298*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -12 - (-3 + 8). Factor 6*f**2 - 9*f**2 - 20*f + u*f - 16 - f**2.\nAnswer: -4*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*p, 2*p = -107*b + 111*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 313*u + 442 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 less than -5?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 120*t**2 + 16800*t - 784000.\nAnswer: 2*(t - 140)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 308610 = 4*s, -29*s + 28*s + 3*m = -77145. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*c - 17458, -5*c + 19981 = 5*f - 1864. Suppose 9*b - 126953 = c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 69. Let b(c) = -7*c - 2*c + 0*c - c**2. Is b(o) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(228) + -3*1*sqrt(228))*1)\/((sqrt(2160) + 2*sqrt(2160))\/(sqrt(30)\/(sqrt(6)*2))).\nAnswer: 5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050)*-1 + 1*sqrt(50)*-2)\/(-2*sqrt(60)\/sqrt(6) + (sqrt(120)*-2 + sqrt(120) + sqrt(120))\/sqrt(12)).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*r - 4, 5 = 364*r - 363*r + 4*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1efe2 - bd?\nAnswer: -1f09f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1522 + -6093\/7610. Put 2\/11, t, -0.5, -1\/94, 5\/4 in increasing order.\nAnswer: t, -0.5, -1\/94, 2\/11, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 8:23 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.6 and -86.017486323.\nAnswer: -84.417486323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4747137 is divided by 1341.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55009670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4\/i*i**(-7))\/(i*i*i*i**(-1\/6)*i**(-5\/2)))\/((i**(1\/6)*i*i**(-5))\/(i**(-2\/5)*i**0)) assuming i is positive.\nAnswer: i**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y = -11*y - 99 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 14*u - 10. Let k be o(-14). Let j(b) = 11*b**3 - b**2 + b - 1. Let f be j(1). What is the units digit of 6\/k + 56\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 93. Let c be (z - -269)\/3 - (3 + -3). Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 6. Let b = 21 + g. Find s, given that 9 + 3 + b*s + 4*s**2 + 0 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*24\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Let f(a) = 10*a**2 - 7*a + 8. Let w(m) = 9*m**2 - 6*m + 7. Let y(l) = 4*f(l) - 5*w(l). Let h(t) = -4*t**2 + t - 2. Give k*h(q) - 2*y(q).\nAnswer: -2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15 + 51*q**2 + 15 - q. What is the remainder when p(-1) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 2, n: 1, l: 2, k: 7, r: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 4*w**2 - 6*w**2 - 10*w**2 - 12*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0614 - 4.9386. What is the smallest value in m, -0.55, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.286 rounded to 0 dps?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-18))\/(4*(-1)\/(-16)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from nfcxnxnsxxnnxnx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 27*u**5\/20 + 29*u**4\/4 + 12*u**3 + 6*u**2 - 41*u - 34. Let m(g) be the first derivative of h(g). Solve m(s) = 0 for s.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657885657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2)\/(4\/(-8)). Suppose 0 = -5*x - 3*t - t + 35, -4*x + 37 = j*t. What is r in -3*r**2 + 6*r**x + 7*r**2 + 3*r**4 + r**2 - 2*r**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = -2*r, 3*r - 36 = -2*p - 30 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {c: 1, s: 5, x: 1, d: 1, j: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2. Let k(v) = 101380*v. Give i(k(w)).\nAnswer: 61667426400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -38*c + 93. Does 68 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {w: 8, n: 3, p: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*f + 6 = 167*f. Let h be ((-96000)\/36)\/(f\/285). Round h to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 7. Let u(k) = 14*k - 2 - 17 + 4. Let m(r) = -13*i(r) + 6*u(r). Let v(n) = n**2. Give v(m(q)).\nAnswer: 36*q**2 + 12*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5 - 44*i - 3 + 0. What is the units digit of f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o\/o**(1\/9)*o))*o))\/(o*o*o\/o**(8\/5)) assuming o is positive.\nAnswer: o**(-193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4053588 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 26*f**3 - 1. Let k(y) = 17*y**3 - 1. Suppose -69 + 34 = 5*h. Let s(p) = h*k(p) + 5*g(p). Differentiate s(i) wrt i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001234478 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -7, -26 in ascending order.\nAnswer: -26, -7, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 - 78*j - 183. Determine q(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31262153 to the power of 1\/2, to the nearest integer?\nAnswer: 5591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 13*s + 9. Let m be g(13). Let t(i) = 25*i - 11*i + 0*i - m*i. Let u(k) = -17*k**2. What is t(u(x))?\nAnswer: -85*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37252 (b) -12 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -281126 divided by -213\nAnswer: 281126\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -42793, -1, -27 in decreasing order.\nAnswer: -1, -27, -42793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3 - 652*y - 79707\/2*y**2 = 0. What is y?\nAnswer: -4\/489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3*z + 3014*b**3 - b*z - b + 48942*z wrt z?\nAnswer: b**3 - b + 48942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61207687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418361201\/546 + 766232. Let x = 2\/39 - v. What is the common denominator of -53\/22 and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:19 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 4*y**2 + 8421 + 8412 - 16833.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 123\/22, 8\/5 in descending order.\nAnswer: 123\/22, 8\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/60 + 13722\/8. Let k = -654 + r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1055543 - 3542?\nAnswer: 1052001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/(-5) + ((-504)\/(-40) - 12). Sort 1, -39, i.\nAnswer: -39, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 5. Let b be m(4). Let s(q) = -9*q**2 - 3*q - q**3 - b + 3*q**2 - 3*q. Determine s(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i**2 - 1. Suppose 0 = -6*z + 10*z + 40. Let a(f) = 206*f**3 - 514*f**2 + 240*f - 22. Let s(o) = z*u(o) - a(o). Determine v so that s(v) = 0.\nAnswer: 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 56*s**2 - 458*s - 19. Let x be w(10). Sort -3, 2, 5, x, 3 in descending order.\nAnswer: 5, 3, 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -238, -240, -242, -244?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1333*a - 8083. Give l(5).\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7889 + 126305\/16. What is the common denominator of h and ((-603)\/756)\/(1\/3)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5873014?\nAnswer: 2, 7, 19, 22079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485736392?\nAnswer: 2, 127, 478087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t*t**31)\/t)\/t*t**(2\/69)*t**(1\/23)*t*t**(1\/40)*t)**(2\/71) assuming t is positive.\nAnswer: t**(94109\/97980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = f + 20. What is the least common multiple of f and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -902103*h**2 + 117*h + 138800 wrt h.\nAnswer: -1804206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*v = -2437 + 2540, 9*k - 2*v - 99 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 5:05 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g. Let u be l(-3). Solve -2*k + 0 - 6 = u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 6. Let h be y(-7). Let t be 1*(-16 - (h + -4)). Does t = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*v - 41, -4*w - v + 8 = -8. Let m = -14 - -29. Calculate the greatest common divisor of w and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 - -5?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86325 is divided by 28770.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.8 (b) 1\/2 (c) 2\/685 (d) -3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*r**4 + 670054*i*r**3 + 6*i*r**2 + i*r - 22*i + 78*r**4 - r**2 - 7436*r + 3 wrt r.\nAnswer: 48*i*r + 4020324*i + 1872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -96.695. Round u to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 + -152 - (14 + 3) - (12 + 5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**3 - 109*a**2 - 213*a - 101. Let g(s) = 3*s**3 - 36*s**2 - 71*s - 34. Let l(j) = -21*g(j) + 6*m(j). Let l(z) = 0. Calculate z.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(22)\/(sqrt(8)\/sqrt(4))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-7) + -1 - (-6 - -5). Which is the closest to d? (a) 2\/7 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435.0471 millimeters in meters?\nAnswer: 0.4350471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 7101*r**3 - 35559*r**2 + 49803*r - 21348 = 0. What is r?\nAnswer: -2372, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from cckubkc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1619*d*t**2*z**2 - 385*d*t**2 + 11*d*t + 17753*t**2*z - 4*t**2 - 3*t - 11 wrt z?\nAnswer: -3238*d*t**2*z + 17753*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(3\/1) - -3. Let u(d) = -11*d + 1. Let c be u(1). Let h(y) = y + 13. Let k be h(c). Solve 3*a = -6, -a - 12 = -q*x - k*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8302*n**2*r - 785*n**2 + 6*n - 2*r + 3 wrt r.\nAnswer: -8302*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 8*d + 12. Let p be n(0). Find the second derivative of 17*g**5 - 77*g - 84*g - p*g**5 - 4*g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 10 + 9 - 5*g + 2. What is v(9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3461676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 + 0 = 0. Suppose -u*t = -100 + 34. What is the remainder when (-117)\/(-2) + 4\/8 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -0.3, -3 in increasing order.\nAnswer: -8, -3, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -1, -4\/217, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 801 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 0*z**4 + 7*z**3 - 28250*z**2 + 28262*z**2 + z**4 = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**6\/540 - 41*v**5\/270 - 37*v**4\/27 - 8*v**2 - 141. Determine g so that d(g) = 0.\nAnswer: -37, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.256 in -0.1, -6, 0.05487?\nAnswer: 0.05487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 7535. Let y(t) = t. Calculate s(y(x)).\nAnswer: -2*x + 7535","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**2 - u**2 - 7*u**2 + 3*u**2 - u**2 - 5*u**2 + (-1 - u + 1)*(-u - 2 + 2) + (3*u - 4*u - u)*(967*u - 1967*u + 1467*u).\nAnswer: -939*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -5104, 3, 2, -23.\nAnswer: -5104, -23, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -28. Solve 0*k - o*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -635\/42 + -17\/14. What is the common denominator of s and 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -510*p + 13. Let r(z) = -83*z + 2. Let j(m) = -q(m) + 5*r(m). Let l(t) = 2*t**2. Determine j(l(y)).\nAnswer: 190*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*p + 205556008, -r + 2*p = -41498626 - 9890382. What is r rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 7*n + 9. Let r be w(-4). Suppose 3*h = -6, 3*h + 6 = -m - 2*h. Is 5 a factor of 10\/m*(r - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2. Let d(k) = 13078*k. Determine j(d(n)).\nAnswer: -513102252*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((1131\/104)\/(-29)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -464, -927, -1390, -1853?\n\"Answer: -463*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 21 - 1. Suppose 0 = 5*x - 5*b - 20, 19 - 4 = -n*b. Let t(g) = -2*g**3 + g**2 - 2*g + 1. Determine t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22217 (b) 2.3 (c) -2\/51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= 0.07769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22276243 is divided by 4562.\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 543423011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q + 7*q + 16*q + (3*q - q + 1534 - 1542 + (0 + 3 - 1)*(4*q - 3*q + q))*(-1 + 0 - 1)*(2 - 5 + 2).\nAnswer: 27*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z + 16991. Let y(b) = 45*b**2. Calculate c(y(r)).\nAnswer: 495*r**2 + 16991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20996 + -3064.773.\nAnswer: -24060.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 520922 - 4*y - 1041844 - 2*y + 520922.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4.61333404\nAnswer: 2.61333404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18254266?\nAnswer: 2, 41, 222613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.047.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*i*k - 77*i*s - 5*i + 8*k*s - 16*k with respect to s.\nAnswer: -77*i + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.6. Let x = 215 - 220. Which is the biggest value? (a) -6\/5 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.08 (b) -3915 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 - 11*y**2\/2 + 5*y. Calculate h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8055 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/5, -1, 0.06, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9) + (-4)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5\/3 - 1916*f**4 - 321848*f**3\/3 - 103448*f**2 + 321844*f\/3 + 105364 = 0 for f.\nAnswer: -53, -1, 1, 1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 209143*x - 209143*x + 1197*x**2 as m*x**2 + h + p*x and give m.\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12 + -3 + 19270\/1260 and 94\/45?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40103717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -39186 divided by -2799?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 + 9*h**3\/4 - h**2\/4 - 3*h.\nAnswer: -h*(h - 4)*(h + 1)*(2*h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)\/((-1)\/5). Suppose q*t - 105 = -5*m, 4*m + t = -m + 85. What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -416*b**2 - 64*b. Let j(m) = -32*m**2 - 5*m. Let o(i) = -64*j(i) + 5*t(i). Let x(u) = -2*u. Determine x(o(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -158881604.\nAnswer: 158881601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -43 + 41\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*u - 8 = -u, -4*x + 4*u = -28. Suppose 7*i - x*i = 78. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/4)\/33)\/(5\/(-40))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(99) - 3*sqrt(99))*-2*-2)\/((sqrt(9) - sqrt(144)\/sqrt(4)) + sqrt(63)\/(sqrt(7)*-2)))**2.\nAnswer: 32*sqrt(11)\/3 + 2825\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*x**2 - 106*x**2 - 109*x**2 + 325*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/54021 and 65\/2211.\nAnswer: 3619407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235521 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 2*c - 2*c)*(-3*c**3 + 0*c**3 + 2*c**3) + 19011*c**4 - 34111*c**4 + 17335*c**4 to the form k*c**3 + g*c + a*c**2 + w + h*c**4 and give h.\nAnswer: 2234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 471 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22111110101221 (base 3) in base 4?\nAnswer: 101032221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 93. Let i be o(32). Factor -2\/5*p**i + 0 + 0*p - 2\/5*p**2.\nAnswer: -2*p**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = 14*d + 195. Put 17, d, -0.5 in increasing order.\nAnswer: d, -0.5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(5*t + 3*t + 3*t)*(0*t + 0*t + 3*t**2).\nAnswer: -33*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -29.\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/24*(86\/1505)\/((-2)\/(-20))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5*o**3 + 2 + o**2 + 3*o - 2 - 22*o**3 as z*o + j + q*o**3 + l*o**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2015, 1942, 1827, 1664, 1447, 1170, 827, 412?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-5)\/((-15)\/12). Let t = -2 - -6. Suppose 0 = -t*c - r + 38, h*c + 3*c = 2*r + 41. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21871*j**3 - j**2 - 11837 with respect to j.\nAnswer: -65613*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.20148 + -0.19852. Let r be (0 - 1)\/(-7)*2. Sort -1\/9, g, -2\/9, r in descending order.\nAnswer: r, -1\/9, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-5))\/((308\/1925)\/(6\/(-15)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411049 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/154 and -103\/68134?\nAnswer: 476938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Let i = 7 - b. Does 12 divide 12\/18 - (-202)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 3*s**3 + 4*s**3 + 15*s**2.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2851 + -2856. Which is the nearest to -515? (a) s (b) -4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/5 + 34516*r\/5 + 48342 = 0.\nAnswer: -7, 17265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77067?\nAnswer: 3, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 5*r**3\/6 + 10*r**2 - 16*r. Let o be t(12). Let z = o - -293. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420645477?\nAnswer: 2420645477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 2*v + 2. Let z be f(-1). Let p be (z - 3\/3) + (-38)\/(-8). What is the nearest to -1 in 0.2, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*k - 409, -9*g = -3*k - 13*g + 403. Suppose 5*a - k = -f, a - 3*f - 21 = -0*a. What is the greatest common factor of 117 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -40 + -16 + 44 + -30?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 12*u + 8. Let m be x(12). Let f = -2 - -2. Suppose -3*s + f*s + 264 = 0. What is the greatest common divisor of m and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1261*r**2 + 1002*r**2 - 1015*r**2)*(-7*r**2 + 3*r**2 + 2*r**2) - r**4 + 0*r**2 + 0*r**2.\nAnswer: -2497*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/48330 and -12\/715.\nAnswer: 6911190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -6. Suppose m - 2*m + 5*q = 28, q = -2*m - p. Let n be (m\/4)\/(1\/(-4)). Solve n*s - 2 = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Suppose -o*v + 9*v - 128 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 29) + 26 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)*1*(-51)\/6. Let h be ((-4)\/26)\/(l\/(-102)). Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 16 + -13 - -3 - -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*0.270358\nAnswer: -0.9192172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1543, -3167, -4847, -6583, -8375?\nAnswer: -10223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*j + 702 - 2890, 3*j = -5*n + 1647. Let c = j + -338. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 81, -3 in descending order.\nAnswer: 81, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/20 - 3*p**4\/4 + p**3 + 21*p**2\/2 + 2*p - 11. List the prime factors of r(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.01, -4, -60.\nAnswer: -60, -4, -0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i - 1. Let v be h(1). Let d be 25\/(-165) + v\/6. Which is the second smallest value? (a) 0.3 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150883975699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1341470 + 2641723. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(153) - sqrt(153)*1) - sqrt(153)) + sqrt(153)*-2*4)\/(-5*sqrt(324)*3) + -1)**2.\nAnswer: -sqrt(17)\/5 + 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 4*j. Let t be z(-3). Let s(y) = -3*y - 1. Let v(a) = 3*a + 1. Let h be ((-4)\/(-22))\/(((-144)\/99)\/(-16)). Calculate h*s(c) + t*v(c).\nAnswer: 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*g + 74, -5*i + 10*i = 4*g - 139. Let m = 143 - 167. Let b = m + g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78.2 + -78.1. Which is the third smallest value? (a) 12 (b) 3 (c) f (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245206 is divided by 49040?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from {j: 1, z: 1, k: 1, t: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(125) + sqrt(125)*2)**2*5.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-4*-7*(-24)\/(-224).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 22 + 7. Suppose 5*p + 77 = s + 480, n*p - 407 = -s. Suppose -2*b + p = -87. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-394)\/(-132) - 3) + (-4)\/(-22). Let r = -4.31 + 0.31. What is the closest to 6 in r, -2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - -106. What are the prime factors of h?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/(-520))\/((-48)\/(-39))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3139907034 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3161284*j**2 - 343232232*j + 9316496484.\nAnswer: 4*(889*j - 48261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 12) - (1744 + -1786)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/13, -5, -6, -3?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1826, -1801, -1738, -1619, -1426?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6*o**3 - 38*i**6*o - i**2*o**3 + 4*i**2*o + i**2 wrt i.\nAnswer: -360*i**3*o**3 - 4560*i**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1566.998863 - 1567. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*n - 344, -n = -2*y - 120 - 111. Let p = -99 - y. What is the third derivative of 22*j**3 - 2*j**2 + p*j**3 + 20*j**2 + 15*j**2 wrt j?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:50 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247\/5 + -49. Suppose 2\/5*i + 0 + h*i**2 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 14*n + 2. Let b be z(14). Suppose x = -o + 174, 0 = o + 2*x + b*x - 162. List the prime factors of o.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 7792570*l + 7792575 = 0. Calculate l.\nAnswer: -1, 1558515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 39. Let x = 53 + d. Which is smaller: x or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -604390, -1208773, -1813156?\n\"Answer: -604383*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*t = -0*j - 20, 4*j = 2*t + 6. Let k be 72\/80*(-15)\/36. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:52 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 + 3.9. Let d = -0.1 + x. Sort 1, d, 3 in descending order.\nAnswer: 3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + -1 + 34 + -40 - (-3 - 5).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7*q**5\/2 - 11*q**4\/2 - 55*q**3\/2 + 119*q**2\/2 - 12*q - 18 = 0.\nAnswer: -3, -3\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 610965, 610960, 610955, 610950?\nAnswer: 610945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**2 + 100. Let j(k) = 112*k. Calculate j(t(u)).\nAnswer: 224*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 79\/8 - 5\/(-40). Calculate the greatest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4128.24 rounded to the nearest ten?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42045, -84089, -126133, -168177, -210221, -252265?\nAnswer: -294309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15365291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 737, 933, 949, 737, 249?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/147 and 59\/504.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in -0.07, -2\/11, -0.05, 4, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, -25, -12, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let c be (10\/20)\/((-1)\/18). Give z(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27. Suppose 0 = -2*b + 3*u - v - 3, 6 = 2*u. What is the greatest common factor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463189968.\nAnswer: 2, 79, 14653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 245 and 742.525?\nAnswer: 497.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 781a + 0?\nAnswer: 781a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -6*j + 31. Suppose -307 = -5*x - 2*l + 287, x - 123 = l. Calculate the highest common divisor of j and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba3c (base 16) to base 2.\nAnswer: -1011101000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -57. Let q = 66.99942 - p. What is q rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/5 - 18*y**4\/5 + 2*y**3 + 402*y**2\/5 + 1072*y\/5 + 168 = 0?\nAnswer: -7, -3, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -11200333?\nAnswer: 11201013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56279, 111939, 167635, 223373, 279159, 334999?\n\"Answer: u**3 + 12*u**2 + 55617*u + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*q - 6 = 0, 0 = 3*q + q + 16. Suppose 3*w - 2*z + 2 - 15 = 0, -d*w + 4*z = -17. Suppose w*v - v = 36. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5883008755 to the nearest integer?\nAnswer: 76701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:38 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 11*n**2 - 5*n - 13. Let k be 0\/(-3) + 1 + -12. What is the tens digit of d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*j + 2, 6 + 0 = -2*j + 5*z. Solve -j*u = 2*f - u + 7, -2*u = -f - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14849627 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 3, l: 1, m: 2}. Give prob of picking 1 m and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:50 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 61610 = 3*n - 61631, 0 = 4*n + 5*d + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1441 microseconds in milliseconds?\nAnswer: 0.0341441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80476741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 715, 3\/4, 1, -109, -5, -0.4 in descending order.\nAnswer: 715, 1, 3\/4, -0.4, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.025434923.\nAnswer: -0.0101739692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119128432 + 41*m + 119128432.\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33416864 is divided by 56.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) + sqrt(1700) + 1 + sqrt(1700) + -1 + sqrt(1700))**2.\nAnswer: -27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1053?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 433289 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from vnjvvvvnvanaia.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 104 + 91 + 118 - 59*a**4 - 92*a**4 - 30*a**4 wrt a?\nAnswer: -724*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 5*k + 75 = 0. What is the greatest common divisor of k and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-17) - 12\/(-102). Let h(f) be the first derivative of 1 - 1\/4*f**4 + t*f**3 + f + 0*f**2. What is the derivative of h(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129842?\nAnswer: 2, 64921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1819\/1162 + -1\/166. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1266082\nAnswer: -5064328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 7*i + 1. Let c be f(7). What is the units digit of 14 + c + (-3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -7*h**3\/3 - 79*h**2\/2 - 70*h. Let b be k(-6). What is the nearest to 8\/9 in 4\/9, -1, b?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204690084.\nAnswer: 2, 3, 941, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-9))\/((-6)\/27). Let c(f) = -4 - 6 - 3*f + n*f + 2. Let r be c(5). Solve -r + 3 = w - 3*g, w + 2 = g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391.89 + 396. Let l = -2.11 + o. What is the smallest value in -29, -0.3, l?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o + 11. Suppose 0 = 4*i + 12 + 8. Let v(d) = -d**2 - 2*d + 3. Let h be v(i). Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 448.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1624 by 10608.\nAnswer: -203\/1326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 3) to base 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -12, -3 = q + 3*h + 13. Let b be 19 - (-10)\/2 - (1 + q). Solve 2*g = o - 3, -6*g + 3*g - b = 3*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -410 - -398. Let b be -2*(-10)\/d*(-94 - -91). Solve -44*n + b = -49*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (7 - 21 - -23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16986601?\nAnswer: 16986601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9011 is divided by 1739.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:16 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*h - 3, -5*p + 27 = -2*h - h. Let a = -3 - p. Does -19\/4 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 480 + 14?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)\/sqrt(9) - -6*(sqrt(7) + 0).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 568324.\nAnswer: 6251564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4681*o**2 - 137 - 42 + o + 179 + (o**2 + 2*o**2 + 0*o**2)*(2 + 2 + 0) to i*o + s*o**2 + n and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3879, -3995, -4115, -4239?\nAnswer: -4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/25))**(-18)*(u**(10\/9)\/u)**(-43) assuming u is positive.\nAnswer: u**(-751\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -22 + 13 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/(-2))\/((-66)\/(-11)))\/((-7)\/(-392))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/12)\/((-2)\/6). Suppose -4*h + 5*h = -4*y - m, -4*y + 2*h = -4. Let i be (-7)\/(-9) - 2 - y. Is 4\/5 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(1\/(-3)). Suppose -q*g = -6*g + 147. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = o - 18, 40*g + 14 = -o + 37*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12813784?\nAnswer: 2, 17, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 2390*x - 7125.\nAnswer: -5*(x + 3)*(x + 475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -957 take away -0.3?\nAnswer: -956.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:44 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 1130 = 50. Suppose 6 = w - 4*w, -5*w = -5*v + k. What is the smallest common multiple of -2 - (-3)\/((-6)\/(-20)) and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5116200, 10232429, 15348658?\n\"Answer: 5116229*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times 70?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 4195 - 4141. Let l(z) = z**3 - 11*z**2 + 11*z + 21. Give l(r).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 21231?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 5, 43, 107, 203, 337, 515?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 1103754 + 29669 = -105966. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -2*sqrt(891)*-3 + -3 + (-2*sqrt(891))**2 + ((sqrt(891) + sqrt(891) + sqrt(891) + -2)*-5*6)**2)*-4*2.\nAnswer: -57794088 + 777096*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 645077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512320043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98, 190, 288, 392?\n\"Answer: 3*z**2 + 83*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794011775 to the nearest integer?\nAnswer: 28178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 258.199 microseconds?\nAnswer: 0.258199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 + -2) - (8 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2 - 0\/(-5). What is the common denominator of (6\/(-16))\/((-3)\/62) and 74\/(-9) + 6\/y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4380 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 4*i**3 - 28414 - 3*i**3 + 27076 + i**2 as c*i**2 + s*i**3 + r + j*i and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -29. Let h(x) = -x**2 + 10*x - 10. Calculate the remainder when f is divided by h(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 83 - 93. Suppose -q*p + 49000020 = -5*g, -9*g + 6*g = -p + 9800012. Round p to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 - 13*o**2 + 8*o**2 + 3. Let f(s) = s + 1. Calculate -f(y) + r(y).\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -75*n + 2. Let s be h(1). Which is smaller: -72 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10411003 (base 5) to base 3.\nAnswer: -11122100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*w - 66259, 4*s - 90313 = -2*w + 42149. Is 71 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 16*r**2 - 15*r - 1. Let j be y(15). What is the tens digit of (j - -48)*(1 + 2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5)*r)\/r**(-4\/11))\/(r**(-23)*r**13))**10 assuming r is positive.\nAnswer: r**(700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -137 in -4, 4, 5\/3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 - 267. Let b be 0 - (-49)\/42*(-4)\/14. What is the second smallest value in f, -1, 17\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12302613 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h - 6 + 4*h + 4*h. Suppose 11 = -3*c + 2*l, 0 = -c - 4*l + 5*l - 3. Let p be s(c). Let b(n) = -n + 2. Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30532040 + -53632040. Round n to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**5 + 2086*t**4 + t**3 + 57606*t**2.\nAnswer: 180*t**2 + 50064*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + 0 - (8 + -11). Suppose -n*c = c - 380. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-4)\/4)\/(-2). Let s(o) be the second derivative of 2\/21*o**3 + a - 1\/42*o**4 + 0*o**2 - 2*o - 2\/35*o**5 + 1\/35*o**6. Factor s(q).\nAnswer: 2*q*(q - 1)**2*(3*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.852507 grams in milligrams?\nAnswer: 4852.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 0*s - s - 5*s + s + 7*s**2. Let g(u) = 3*u**2 - 2*u. Let q be (6\/4)\/((-92)\/16 + 5). Give q*w(k) + 5*g(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2412*t - 2415*t + 15, 3*l - 20 = -4*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 44 = -5*a, 0*c - 55 = -4*a + 5*c. Let k = 72 - 42. Suppose -u = -2*w + k, -5*w - 2*u + 0*u = -66. Calculate the least common multiple of w and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:09 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709195607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**5 + 423*d**4 + 3*d**2 - 65*d - 2. Let a(l) = -l**5 - 9*l**4 + 4*l + 1. Let x(r) = -2*a(r) - t(r). Find the second derivative of x(n) wrt n.\nAnswer: -40*n**3 - 4860*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241.852 - -0.148. Let r = t + -241.85. What is the second biggest value in r, -2, -5, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79173, 79171, 79169?\nAnswer: 79167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:56 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 500291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 122286838519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b. Let q(l) = 3*l - 2. Let d(f) = f - 1. Let p(g) = -2*d(g) + q(g). Let a(i) = -i. Let m(k) = -a(k) - 2*p(k). What is o(m(z))?\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 8*u**3 + 5*u**2 + 7*u. Let m = -28 + 22. Let p(k) = -k**3 - k**2 - k. Calculate m*p(j) - z(j).\nAnswer: -2*j**3 + j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b2 + -5?\nAnswer: 1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + w - 4. Suppose x + b = -6, 47 = -0*x - 2*x + 5*b. Let j = x + 31. Calculate the smallest common multiple of j and k(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 1694*j - 1694*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10))**(-14\/3)\/(f**(1\/9))**44)**10 assuming f is positive.\nAnswer: f**(3760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3426 and 2284?\nAnswer: 6852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9894 + 8?\nAnswer: -9886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*k + 27, -1 = 4*z + k + 15. Let b be (z - 4\/(-4)) + 4. Find the third derivative of -5*t**b - 3*t**6 + 198*t**3 - 198*t**3 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2754955 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4918275.\nAnswer: 3, 5, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21841983 by -6.\nAnswer: -7280661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**2 - 535*b - 2060 = 0.\nAnswer: -103, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 7*a**2)*(-2*a + 3*a - 2*a) - 4*a - 109995 - 5*a**2 + 2*a**3 + 6*a + 109999.\nAnswer: 9*a**3 - 5*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 1, n: 3}. Give prob of picking 1 t and 1 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 73*w**2 - 1814*w + 4143. What is a(22)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 68 - 30*u**2 + 29*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 82280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10005, 10760, 11515, 12270, 13025, 13780?\nAnswer: 14535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/7 + 8698*c**2\/7 + 851572*c = 0. What is c?\nAnswer: -602, 0, 4951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.2186243 + -101.7813127. Let d = h - -116. What is d rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501604194*c**3*m**3 - 2*c*m**3 - 248*c*m**2 - 2666*c - 172*m**3 wrt c?\nAnswer: 3009625164*c*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000100 + 101001?\nAnswer: -1010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43166702.\nAnswer: 2, 1579, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9013267 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125d (base 16) to base 13.\nAnswer: -21a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 4. Let b(n) = -619*n - 8 - 618*n + 1228*n. Calculate -4*b(r) - 7*h(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + (20\/(-4) - -3). Find the second derivative of -2*t + 12*t**4 + 6*t - s + 5 wrt t.\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -987, -964, -939, -912?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 1. Let d(n) = n**2 - 4*n - 1. Let m be 3\/9 - (-4)\/6. Determine m*d(l) - 3*w(l).\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257\/2 - -129. Which is the third smallest value? (a) 5 (b) 2\/15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.314 times 73\nAnswer: 22.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.029 - -0.229. Let n(v) = -v**2 - v + 5. Let p = 15 - 15. Let s be n(p). Which is the third biggest value? (a) 2 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 17*s**2. Let n(x) = 5439*x - 1. What is k(n(q))?\nAnswer: 502906257*q**2 - 184926*q + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9816180 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 common denominator of 113\/20 and -151\/510.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**2*w*w\/((w*w**(-15))\/w)*w assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18775 - -18783. Let u(y) = -3*y**3 + 25*y**2 - 10*y + 17. What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1912 = 38*k + 201*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 26*t - 22. Let a be o(23). Let f = -66 - a. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 - -0.91. Let s = g + -0.1. Let f = -4.1 + 5.2. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19844.8434ns?\nAnswer: 0.0000000002296856875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 214273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0458 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -999 (b) -3 (c) 2\/5 (d) -1\/11 (e) 21\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8456, -21, 5 in ascending order.\nAnswer: -8456, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2060 and -73\/1236?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.3, -1\/3, 6, -9\/11, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 70321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183 + 294. What is the least common multiple of a and 36?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9dfd - -b3?\nAnswer: -f9d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**3\/3 + 29*d**2\/2 - 20*d. Let x be t(-13). Suppose -x*j = -0*j - 33. Solve -3 = 4*o - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2. Let w(c) be the first derivative of 17*c**2\/2 + 2*c - 48. Calculate w(t(p)).\nAnswer: 34*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368797 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -287, -3, 0.4, -5198 in increasing order.\nAnswer: -5198, -287, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k + 2040 = 140*k - 162*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 24*i**2 + 6*i + 109. What is the hundreds digit of o(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390873957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(612\/(-87) + 7)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -136. What is the units digit of 1 + 8\/4 - b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 5*g + 6*g**3 + 11*g**3 + 21*g - 26*g**3.\nAnswer: -2*g**3 + 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one quarters of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-68)\/153)\/((-3)\/27). Is 19 a factor of (33 + f)*(-8 + 22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/25 (b) 0.2 (c) -3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/243 and 11\/5238.\nAnswer: 47142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 - 29465*c**2\/2 + 108294564*c + 3371304312.\nAnswer: (c - 14748)**2*(c + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 15. Let r be 3\/(-2)*(-20)\/x. Let l be (-42)\/r + (-4)\/(-20). Which is greater: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25376221 to the power of 1\/2, to the nearest integer?\nAnswer: 5037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -50, -100, -168, -260, -382?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.14 - 0.14. Let d = -1 - -8. Let o = d + -7.1. Which is greater: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khhkkkskfkfksk. Give prob of picking 1 f and 2 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, -9, 1.5, -896 in increasing order.\nAnswer: -896, -9, -4, 1.5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -18*a - 20 - 17\/2*a**2. What is the tens digit of r(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7224181288 to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkpkkkpppkpp. Give prob of picking 4 k.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 2*d**3 - 124. Let i(k) = -2*k - k + 4*k. Calculate i(u(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 6*y - 33*y)*(2*y + y - y) + 0*y - y**2 + 0*y + y**2 + 0 + 0 + (-y - y + 0*y)*(3*y - y + 0*y).\nAnswer: -114*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**3\/6 - 12*c. Suppose -v = t - 12, 4*v = -3*t + 9*v + 12. Let r(g) = -t + 5*g**2 + 9. Determine r(d(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from {b: 7, w: 1, c: 7, q: 1, f: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 14. Let l = s + -3. Solve 2*c + 3*k - 13 = -0*k, 5*c + l*k - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -54*u**2 - 2. Let f(v) = 63*v. Calculate h(f(q)).\nAnswer: -214326*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.352 less than -17?\nAnswer: 48.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 768.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 12 = j - 5*d, 5*j = -5*d. Suppose -2*w = r - 32, 5*w + 128 = 5*r + 7*w. Let t = r - 25. Sort 1, t, j in increasing order.\nAnswer: t, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/18 - (-4)\/(-6). Which is bigger: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:38 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:43 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2))**(-45))**(-1\/3) assuming z is positive.\nAnswer: z**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5 + 455*j**4 - 4907*j**3 + 10117*j**2 + 42480*j - 133200 = 0.\nAnswer: -3, 4, 5, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1011001100 (base 2) to base 4\nAnswer: 23030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -27. Calculate the remainder when 245 + (-13)\/(52\/24) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q. Let k = -605 - -36301\/60. Let w(x) be the third derivative of -k*x**5 + 0*x**4 + 0*x + 0*x**3 + 0 + 3*x**2. What is w(f(j))?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 850, 1719, 2590, 3463?\nAnswer: 4338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -28*p - 32*p - 10 + 80*p - 26*p + 8*p - 6. Let u(a) = -10*a**2. Let j(f) = 15*f**2. Let n(y) = 5*j(y) + 7*u(y). Give v(n(z)).\nAnswer: 10*z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 + 87. Find v such that -23*v**3 - 12*v + 15*v**4 - 16*v**2 + v**2 + 32*v**s + 3*v**5 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9873702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:37 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/((-220779)\/136))\/((-80)\/144*12).\nAnswer: 2\/555","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - 8 - (-7)\/1. Suppose 4*v + 2*m - 182 = p*m, 2*m - 211 = -5*v. Suppose 127 = 4*y + v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14405954 to the power of 1\/2, to the nearest integer?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 times 744?\nAnswer: 315456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Is (-12*u\/4)\/1 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1251)\/(-695) - (-6)\/10.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -4*j - 52, 13 = -j - f. Which is smaller: j or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 6*c + 5*j = -2, -j = -c - 2. Let r(a) = -15*a + 2. Let w(t) = -7*t + 1. Calculate c*r(m) + 5*w(m).\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 25*d**2 - 85*d + 877. Determine t(-29).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -2) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*c - 1048 + 138 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 466707 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d57b - -2?\nAnswer: 8d57d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14358 greater than or equal to -14361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuxvxxxuvu. Give prob of picking 2 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 302*m - 61 = -303*m + 25, 4*m - 272 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 3978\/19, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 25. Suppose -8*m = 68 + 76. Let n be (m\/147)\/((-12)\/28). What is the smallest value in -3.7, n, s, 1?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106203, 212407, 318611?\nAnswer: 424815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) - (-56)\/10. Suppose -q*l - 204 = 60. Calculate the common denominator of (-4)\/14*l\/8 and 19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 109640384?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2126 + -2104. Calculate the remainder when 309 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 5*m - 12. Let u be a(7). Suppose 0*z - u = -2*z. Suppose -4*q + 6*q = 5*x, -5*x + q = 0. Put 4, z, x in descending order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 204 and -103\/2307 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/118142 (b) 5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 3*z + 2. Let j be l(3). What is the units digit of j\/(-10) + (-104)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * -174.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:29 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 9 - 4. Suppose 0 = -4*a + 4*g - m - 3, -5*a = g + 14. Let r be a\/3 + 0 - -1. Solve r = -b + 4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 115?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*c + 14305 + 14788 = 3624 - 9448 for c.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 41*w - 3. Let c(h) = -h + 1. Calculate -4*c(k) - p(k).\nAnswer: -37*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966878?\nAnswer: 2, 11, 71, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a**(-1\/3)))*a)\/a)**(1\/3)\/((a*a**(-1\/5))\/(a*a**(-2\/17))) assuming a is positive.\nAnswer: a**(233\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -322809, 285 in ascending order.\nAnswer: -322809, 5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = -0*r - 4*r, -r + 7 = -t. Let k be r\/((-27)\/6)*-6. Solve 0 = k*s - 0*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11517128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123b (base 13) to base 9.\nAnswer: -3482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6421*d**3 + 6348*d**3 - 12798*d**3.\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 8) in base 10?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 4*p - 18, r - 5*p = -0*r + 12. Suppose -5*v - j = -25, -r*v + 2*j = -6*v + 20. Let y = -5 + v. Solve -t = 0, -4*f + y*t - 4*t = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**4\/12 - 5*j**3\/3 + 6*j**2 - j. List the prime factors of r(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95910 divided by 690?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495900 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*b + 212, 3*l + 191 = -4*b + 8*b. Let w(x) = 7*x - 3. Let q be w(4). Calculate the highest common factor of q and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171508?\nAnswer: 2, 53, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 3*l. Let i = 3 - -3. Let x(n) = -3*n**3 - 5*n. Calculate i*x(h) - 10*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2 - 5*w + 1. Suppose -9 = 4*t - 25. What is the hundreds digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96996, 96997, 96998, 96999, 97000, 97001?\nAnswer: 97002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 63*g + 2\/25*g**6 + 0 + 22\/5*g**2 + 5*g**3 + 23\/25*g**5 + 46\/15*g**4 - 1\/105*g**7. Suppose n(k) = 0. What is k?\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q + 52. Calculate d(-12).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156389 and 57.\nAnswer: 469167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(125)*3 - sqrt(125)) + ((sqrt(125) + 2 - sqrt(125)) + -1)**2 - ((sqrt(405) - (sqrt(405) + -2)) + -5 + -3).\nAnswer: 8 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q = -71 + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1.67 (b) 1 (c) -0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 4 + 3 - 2 - 3 + (2 + 1 - 2)*(-4 - 1 + 3) - 3 + 1 + 1 + 3 - 1 - 1)*(r - r - r**2) + 3*r**2 + 0*r**2 + 2*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -7. Solve 0 = o + 4*o + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-6) - (-4)\/3. Let m(g) be the second derivative of g**4\/12 - 4*g**3\/3 + 9*g**2\/2 + 2*g - 278. Determine m(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -935245\/36 + 25981. Let i = -12425\/5571 - -5\/619. Let v = k + i. Is 0.2 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f**2 + 0*f**2 + 4*f + f**2. Let t(n) = 3*n - n - 3*n. Determine 2*c(v) + 6*t(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -44 + 2\/3*w**3 + 0*w - 2*w**2 + 1\/12*w**4 - 1\/60*w**5. Give k(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 49. What is the remainder when a is divided by 20\/108*42 + (-4)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041142.\nAnswer: 2, 37, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Let t = -7 + n. Which is the biggest value? (a) -0.4 (b) t (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 9*p - 18. What is the lowest common multiple of 22 and j(4)?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in minutes?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5139.6l?\nAnswer: 5139600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**16\/n)\/((n**(-2\/5)\/n)\/n))\/(n\/(((n*n**5*n)\/n)\/n*n)*n*n**(-6\/13)*n))**(-44))**(-35) assuming n is positive.\nAnswer: n**(417648\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 429.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let z(o) = 3*o. Let k be z(c). Let a = -3686 + 3710. What is the highest common divisor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-14)\/(-3))*-88*68\/(-498168)\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*f - 1847, 2134 = -5*o - 5*f - 2506. Let n = o + 957. What is the remainder when 415 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 8*x**2 - 2*x - 6. What are the prime factors of g(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36236963, -36236965, -36236967, -36236969, -36236971?\nAnswer: -36236973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71656933.\nAnswer: 71656933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 218 + -217.7. Let w = 191\/2 - 95. Which is the smallest value? (a) 0.4 (b) p (c) 5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 263468 by 65867.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 3212032130?\nAnswer: -3212032322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9189 - -9187. What is the closest to -0.05 in -16, c, 2\/19, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7153743 to the power of 1\/2, to the nearest integer?\nAnswer: 2675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 5, m: 10}. Give prob of sequence zzzp.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1452 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-3)\/(-9)*-495).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5 - 7. Suppose b = -4*t + 2, -t = 2*b - m - 3. Let l(n) = 3*n + t*n + 0*n - 2*n. Let x(g) = 2*g + 1. Determine -5*l(r) + 3*x(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2344 and 157166958?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27\/18*280\/(-150)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2897, -2, -14, -1, 5, -3, -8 in increasing order.\nAnswer: -14, -8, -3, -2, -1, 5, 2897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.9401 (c) 0.5 (d) 6 (e) -3 (f) -2 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 12 + 2*l + l - 4*l as t + j*l and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -771 and -6.\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.4817261ng?\nAnswer: 0.0000004817261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 4*h**2 + 5*h + 6. Let c be o(-5). Let i be (1 + -2)*(c + -4). Let m be 18\/14 + i\/7. Solve -2*d - 4*g = 0, -4*g + 1 = 3*d - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11434421 (base 7) to base 15\nAnswer: 1515db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80587267609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26667 and 5.\nAnswer: 133335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 - 13. What is w(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 630. Let x be (-2)\/(-3)*y\/28. Solve x*b + 2*z - 18 = 3*b, 2*b + 3*z - 23 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5378.6 - 5380.6. Let u be (-1)\/(-1) - 2\/6. What is the nearest to 1\/2 in p, u, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450749051 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m - m + (0 - 4 + 3)*(2 - 2 - m))*(-97 + 155 - 70*m - 59).\nAnswer: -140*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 113321 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 99. Let f(a) = -a**2 - 13*a - 1. Calculate the remainder when f(-6) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 1. Let l(u) = -116*u + 232. Let v(c) = -l(c) - 232*o(c). Let g(j) = j. Give g(v(h)).\nAnswer: -348*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (3 + sqrt(11) + 0))**2 - (sqrt(11) - (sqrt(11) - -4*(sqrt(11) + 1))**2).\nAnswer: 39*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 85968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*w - 1378*w = -61280 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1, i: 1, y: 1, z: 1}. What is prob of picking 1 i and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)\/(r\/r**(-1\/8)*r*r))**(-2\/5)*(r\/(r**(-5)*r)*r**(-2\/3))**26 assuming r is positive.\nAnswer: r**(6739\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7198875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 12. Let h = -29 + 24. Let a be f(h). Let r(v) be the first derivative of -v**4\/4 - 8*v**3\/3 - 2*v**2 - v - 1. Calculate r(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j + 4*i + 5, 3*j + i = 7. What is the tens digit of (j\/3)\/(8\/168)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -9*t + 650. Suppose 0 = o - 19 - 11. Calculate the lowest common multiple of o and t.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/4 - x**3 - 12*x**2 - 103*x - 34. Let v be y(-4). Solve v - 6 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 45 = 33, -24 = 4*g + 3*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 975 = 54*s for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at least 879\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 3, -6, -7, -1.\nAnswer: -7, -6, -2, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -23 - 131. Suppose 79*n - r*n = 120. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4946 = 13*h - 4985 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 23.5 (b) -0.0506 (c) -0.3 (d) 5 (e) -1\/3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and 492.\nAnswer: 93.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 2046, -1, -1\/8?\nAnswer: 2046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -22.8. Let w = 0.2 + b. Let x = 102.3 - 102. What is the nearest to w in -0.02, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3943 - -3947. What is the third biggest value in s, -0.105, -2.6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-6))\/(1\/(-10)). Suppose 669 = w*r - 1021. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 2*l - 1400 + 2674 = 0 for l.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/7*b + 4\/7*b**2 - 2\/7*b**4 + 10\/7*b**3 + 0.\nAnswer: -2*b*(b - 4)*(b - 3)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87924082427.59919 - 87922788177. Let g = 1294397.6 - h. Let y = g - 147. What is y rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 695 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 137.35 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {v: 3, i: 1, c: 4, h: 1, e: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7128 and 1504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3 - -3 - (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52125, 52105, 52087, 52071, 52057, 52045?\nAnswer: 52035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffkqfffflnfkffffl. What is prob of sequence ll?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + f**4 - 1)*(1 + 0 - 3) + 3*f**2 - 3*f**2 + 9*f**4 + 25*f**4 - 22*f**4 - 41*f**4.\nAnswer: -31*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/5, -0.4, -1\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-393)\/(-9))\/(20\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012.293 times -21?\nAnswer: -21258.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -10898\/5, 5, 9, -0.3 in descending order.\nAnswer: 10, 9, 5, -0.3, -10898\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 5*f + 2*f)*(-1 + 1 + 1) + 26*f - 57*f + 1 + 29*f to x*f + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23691 = 5*d - 14114. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-135) + (-10045)\/87150)\/(6\/(-8))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -46.6. Let l = -25 + u. What is l rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088427 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 17*a**3\/2 + 23*a**2 - 2*a - 25. Find the first derivative of u(x) wrt x.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 658.92 and -5.\nAnswer: -3294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1721544 by -22.\nAnswer: 78252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/60 - (-220)\/(-264).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -1270*h**4 - 41862*h**3 + 1768*h**2 + 6072*h = 0?\nAnswer: -33, -46\/127, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1331) + (sqrt(1331) - (-1 + sqrt(1331))) + sqrt(1331)*1 + -3 + 4)**2.\nAnswer: 220*sqrt(11) + 5349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/12 + y**3\/2 - 3*y**2\/2 - 20*y. Give h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 560\/3 + -185. Let m = 7.7 - 8. Let n = -0.2 - m. Sort n, 2, -0.3, h.\nAnswer: -0.3, n, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18964, -74128, -166098, -294898, -460552?\nAnswer: -663084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 2. Let l be m(3). Suppose -5 = -3*y + l. Suppose -2*b + y + 4 = 0. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - -8) + -1 - 62650\/12474 and -8\/189.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {c: 10, a: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 8, 2 in descending order.\nAnswer: 8, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**5 + 130*z**4 - 5*z**3 - 130*z**2 = 0.\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*y + 380, 392 = -2*p + 3*p - y. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2457 and 2583?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6732.081 millilitres in litres?\nAnswer: 6.732081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11)*5)**2 - sqrt(22)\/(sqrt(2)*-2).\nAnswer: -1650 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 >= -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37 - 4\/(8\/6). Let v = q + -33. List the prime factors of (v - (-24)\/2) + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 + 7*q + 2. Let a(m) = -4*m**2 - 3*m - 1. Give -9*a(f) - 4*p(f).\nAnswer: 4*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.276403 rounded to 3 dps?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Factor f + f + f + f**2 + 5*f**j.\nAnswer: 3*f*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516 (base 7) to base 13\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**3 + 3*v + 5. Let h(s) = 20*s**3 + 21*s - 166. Let f(x) = -5*x**3 - 5*x + 38. Let g(l) = -13*f(l) - 3*h(l). What is 5*g(o) - 4*j(o)?\nAnswer: 9*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 4, w: 2, e: 8, m: 3}. What is prob of sequence eeww?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 3*t - 2. Let p(q) = 7786 + 3*q - 4*q - 7786. Calculate -d(s) + 6*p(s).\nAnswer: -s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + -2.6. Let p = -13.1 - 11.9. Let g = -25.2 - p. What is the closest to 3 in q, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43615)\/1859 - ((-184)\/286 - (-2)\/11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**2*k*k)*k*k*k\/(k\/k**32))**(-11))**(-34) assuming k is positive.\nAnswer: k**12716","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -56\/9, -320.\nAnswer: -320, -56\/9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 77, 3 in descending order.\nAnswer: 77, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 67*k**2 - 610*k + 60. Give j(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**2 + 2*r - 11. Let a(i) = 5*i**2 + i - 4. Suppose 4*y - 3*v + 0 = 3, -11 = 2*y + v. Give y*u(t) + 8*a(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -10000010000010001110001111100?\nAnswer: -10000010000010001110001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.285 and 0.057.\nAnswer: -0.016245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -88, -131, -154, -151, -116, -43?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*m - 2*m. Let o = 578 - 318. Suppose -7*j = -11*j + o. Calculate the remainder when j is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v = 18*v + 1694 + 1456. What is the greatest common factor of v and 1140?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -8*x**3 + 0*x + 12\/5*x**2 + 0 + 16\/5*x**5 - 36\/5*x**4 = 0.\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*k = -7*s + 15, 0 = 2*s - k - 7. Suppose -2*p - 17 = 2*l - s*p, -5*p - 3 = -2*l. Let x(v) = 6*v**2 + 2*v - 15. Is x(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 89 = -41 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/216*-38 - 20\/(-90). Let b(u) be the first derivative of -j*u**4 + 0*u**3 + 3*u + 0*u**2 + 1. Differentiate b(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, o: 2}. What is prob of sequence qo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831721*y + 831721*y + 5745*y**3 - 5938*y**3.\nAnswer: -193*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 171, 185, 197, 207, 215, 221?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 17 + 2 = 3*x, -6 = -2*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-15))\/j**(2\/3)*j**30\/(j*j**(5\/6)) assuming j is positive.\nAnswer: j**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11587 or 13682?\nAnswer: 11587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 1. Suppose -2*f - f + 2868 = -q*x, x - 1909 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 = -3*p - p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 + 3*l**2 + 4*l + 27. Calculate s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = 5*h, 8*a = -h + 10*a + 4. Suppose h*t - 152983 = -13*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68398 + 68397.98999995. Let j = o - -0.01. Round j to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 + 3*f**2 + 3*f - 10. Let m be s(6). What is the greatest common factor of 33 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from {m: 4, n: 3, e: 2, v: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 16*f**2 - 5*f - 4. Let i(h) = -14*h**3 + 49*h**2 - 14*h - 12. Let w(b) = 4*i(b) - 11*p(b). What is the units digit of w(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1596815071?\nAnswer: 79, 1093, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/(-51))\/((-30)\/360).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 707500.8 months?\nAnswer: 5895.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28823.9 times -118\nAnswer: -3401220.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-306)\/6)\/(1 - 2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4095094 is divided by 4095072?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2428490 and 22090.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 12 = 2*f, 0 = 3*y - 5*f - 426. Calculate the highest common divisor of y and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9759624.\nAnswer: 2, 3, 7, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 50 in descending order.\nAnswer: 50, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16850340 and 9475.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/241?\nAnswer: -8\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338 equal to 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 10. Suppose 2*b = o + 6*b, b - 30 = -4*o. Let s be f(o). Let y(u) = u + 3. Let r(q) = 2. What is s*y(i) - 3*r(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 207.\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6697 - 4473 = -500*m + 254*m - 100 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128700000 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40656 and 2332?\nAnswer: 2154768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 + 1. Let y(d) = 4*d + 59. Let j be y(-13). Suppose -4*z + 5*z + 5*l = -9, -3*l - j = -z. What is i(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 291?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {h: 2, p: 6, k: 2, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 + -16 - 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167950850.2 rounded to the nearest 10000?\nAnswer: 167950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or 52754\/2619?\nAnswer: 52754\/2619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9144.2029 times 3\nAnswer: -27432.6087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 70 = -191. Let b be (-4)\/(-26) + (-1155)\/(-13). Let r = b + c. Calculate the lowest common multiple of 27 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 642179, 642170, 642161, 642152, 642143, 642134?\nAnswer: 642125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6610462.91 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12295151 and 3?\nAnswer: 12295148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 11330?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28022503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, t: 3}. Give prob of picking 3 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 19*v + 22. Suppose 0 = 2*s - 4 + 44. Let c be x(s). Suppose 0 - 135\/2*o**3 + 375\/4*o**5 - 6*o + 39*o**c - 75\/4*o**4 = 0. What is o?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*q - f, -2*f + 21 - 19 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s. Let y(r) = -10*r + 3. Let j(d) = -741*d + 221. Let b(x) = -6*j(x) + 442*y(x). Give l(b(p)).\nAnswer: -286*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 10*v - 345 = 0. Let g = 202 - 48. Let i = v + g. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125438.\nAnswer: 2, 19, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2021332 (base 4) to base 12\nAnswer: 513a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -20 (b) -2 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((u + 4*u - 4*u)*(0 + 4 - 3) + 2*u - 2*u + 3*u + (-1 - 1 + 0)*(3*u + 6*u - u + (4 - 4 + u)*(-1 - 2 + 1) - 5*u + 2*u + u + 1 - 1 + u))*(-2 + 2 - u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51876, -51879, -51882, -51885, -51888, -51891?\n\"Answer: -3*i - 51873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*l - 14*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)\/sqrt(8)*-6 - 5*sqrt(98)*-2) + 5.\nAnswer: 5 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 10*h + 146, -112*h + 3*m - 50 = -108*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 18*v**2 - 102*v - 897. Determine s(-21).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -12960 divided by 72.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9500, -37966, -85416, -151856, -237292?\nAnswer: -341730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*l + 23 - 58, 0 = -4*q. Let x = l - -8. What is the greatest common divisor of x and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 26*o + 112, -5*m - 261*o - 6 = -265*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 + 282. Find the second derivative of -134 - 2*f**2 - 7*f**5 + 2*f + 2*f - u*f + 0*f wrt f.\nAnswer: -140*f**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290160 and 1170.\nAnswer: 290160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 151*u**2 + 2 + 74*u**2 + 74*u**2. Let k = 4 - 1. Determine s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1082, -1091, -1084, -1055, -998, -907, -776, -599?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 7, p: 5, a: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*l**2 - 20437*l - 20398.\nAnswer: -(l + 1)*(39*l + 20398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + a + 2 + a**3 - 3*a**2 + 3. Let m be j(4). Let w = -5 + 7. Is m less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 - 3*i - 1. Let v be l(-2). Let d = -26 - v. List the prime factors of d - 1\/(-2)*0.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by -481?\nAnswer: -196\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 514.6, -5, -4, 0.5, -0.4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -59 + 25 + -45 - -57.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -89438036.8 to the nearest ten thousand.\nAnswer: -89440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -74. Suppose -z = -5*r + 5. Suppose r = -i, -o - 3*i - 2*i + 35 = 0. Is 50 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1063 - 631. Find the third derivative of -d*q**2 - 8*q**3 + 331*q**2 - 1 + 261*q**3 wrt q.\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942788.\nAnswer: 2, 7, 11, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 331*q**3 - 503*q + 383. Find the first derivative of z(g) wrt g.\nAnswer: 1986*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109 and -0.13.\nAnswer: -14.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 + 17*f**2. Suppose 36 = -0*a - 4*a. Let l(c) = c**3 + 4*c**2. Give a*l(w) + 2*p(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/14? (a) 1\/7 (b) -7131 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5495 - 159335\/29. Let j = v - 318\/377. Suppose 2*y - 5 = 1. What is the closest to 0.1 in j, y, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5019 (base 10) in base 7?\nAnswer: 20430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*f - f + 31, f = -1. What is the units digit of 4\/j - 632\/(-72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4824 and 47\/130778640?\nAnswer: 130778640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 - 4*z. Suppose 6*k - 11*k + 15 = 0. Let s(u) = u**3 + 3*u**2 + 3*u. Calculate k*f(n) + 4*s(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 49. Solve -d*s = -s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1706 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4708, 4681, 4652, 4621, 4588, 4553?\n\"Answer: -g**2 - 24*g + 4733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k - 7. Let g be b(-5). Suppose -4*z + 4*s = -88, -z - z - 5*s = -g. What is the remainder when z is divided by ((-15)\/(-4))\/(15\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 + 3*r - 3*r + (-r**3 + 1 - 1)*(3 - 2 - 2))*(-341 + 674 - 332) to h*r**2 + b + l*r + p*r**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 18*h. What is the lowest common multiple of 245 and a(-4)?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by 288?\nAnswer: -27\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let o be ((-13)\/(-5) - 7 - -4)*20\/24. Which is the biggest value? (a) -0.2 (b) y (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 9 = -10*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:54 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 887755*b**3*h*w + b**2*h*w - 2*b**2*h + b*h*w - 2*b*h + h - 2791*w wrt b?\nAnswer: 5326530*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6125717, 6125678, 6125639?\nAnswer: 6125600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 11) to base 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-30))\/(-6) + 18\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/9)\/((-16)\/(-36)) + 6. Solve b*g - 15*g - 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 195 + 185 = 0. Solve 2*t + 0*t - j = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8869.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + u. Let j(l) = 5*l**3 - 4*l**2 - 3*l - 2. Let w(z) = -4*h(z) - j(z). Let q be w(0). Is 1\/((q - 0)\/66) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -255653*h + 7. Let l be j(6). Let m = l + 2213911. Round m to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 7 (d) 2\/9 (e) -13 (f) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(13) + 2) - sqrt(468)*2) + (sqrt(52) + (sqrt(52) + 2*sqrt(52) - sqrt(52)))\/sqrt(4)*6)**2.\nAnswer: 160*sqrt(13) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71345*z**3 - 142765*z**2 - 150*z.\nAnswer: -5*z*(z + 2)*(14269*z + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-20))\/(13\/13)*3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 98 = -50. Is p <= 52\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 13 - 299*q**2 - 60 - 59 - 58.\nAnswer: -299*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 733349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1300*a + 4. Let u(m) = -14*m - 1. What is 4*u(y) + z(y)?\nAnswer: 1244*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -1043*u**5\/60 - 109*u**4\/6 + u**3\/3 - 3881*u**2. Find the second derivative of j(m) wrt m.\nAnswer: -2086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 4 + -2)*11870887\/742?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7814, -62818, -212094, -502778, -982006, -1696914, -2694638?\n\"Answer: -7856*f**3 - 12*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31512695.\nAnswer: 5, 6302539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t + 0*t**3 - 1\/6*t**4 + 0 + 0*t**2. Let b(h) = 1274 + 2*h + 1269 + 1292 - 3845. Determine r(b(a)).\nAnswer: -8*a**2 + 80*a - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 4145337.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvtveete. Give prob of sequence tvee.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -1100515609?\nAnswer: -1100515613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0*t**2 + 4\/5 + 17\/5*t**3 - 4\/5*t**4 - 17\/5*t = 0.\nAnswer: -1, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/((-14877)\/(-116))*((-15)\/(-6) + 3)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129693\/4 + -32423. Which is greater: -2015 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*r - 5*r + 17, 5*r = -2*h. Solve -4*g**2 + r + 2*g**4 - 9*g + 9*g = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 689 and 3653.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 200. Let o = l + -113.000063. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.0534832 rounded to 2 dps?\nAnswer: 155.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 16*l - 52. Let h(r) = 63*r - 22. Let f be h(2). Let y(k) be the first derivative of -k**2\/2 + 3*k - 340. Give f*y(m) + 6*o(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/7 + 19890818*u + 139235724\/7 = 0?\nAnswer: -69617862, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 10}. What is prob of sequence ww?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 34*r - 37 = -31*r, -9 = -p + r. Let d be (-1400)\/84 - ((-4)\/3)\/2. Sort p, 2, 1, d.\nAnswer: d, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153489.\nAnswer: 3, 7, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaa when three letters picked without replacement from {k: 1, e: 2, a: 4, n: 1, q: 3, s: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - 5*d = 9, 5*d = 15. Let n(s) = -s**2 - 8*s - 5. Let c be n(m). What is the derivative of 8*g**3 - 20*g**3 - 13 - c wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79161 is divided by 15831.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/20*3\/((-9)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 21258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14982 - 14950. Solve -3*g - 36*w + 17 = -j*w, -3*g + w - 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 16*c + 9. Let d(f) = -70*f - 39. Let u(q) = 34*q + 19. Let p be (2\/3)\/(14\/63). Let i(g) = p*d(g) + 5*u(g). What is -5*i(j) - 12*r(j)?\nAnswer: 8*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 - 7 + 1717*j + 1728*j + 1713*j - 5185*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 0*b - 3*b)*(161 + 125 - 104)*(4*b + 0*b - b)*(-4 - 2 + 2)*(1 + 1 + 0).\nAnswer: -4368*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -1\/5*l**5 + 0*l**2 - 2\/3*l**3 + 3*l + 0*l**4 + 0. Find the second derivative of t(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:06 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o + o - 11154 = 17070. Calculate the greatest common divisor of 196 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -105, -4, 3 in decreasing order.\nAnswer: 12, 3, 1, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208 + 2?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -66\/265, -1\/3, 0.5, -2 in increasing order.\nAnswer: -2, -1\/3, -66\/265, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.13. Let i = 0.0638 + 0.2362. Is i at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let m(y) = -349*y + 4. Calculate m(h) + 2*t(h).\nAnswer: -351*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**5 + 16490*y**4 - 13579485*y**3 - 27274500*y**2 + 40837500*y = 0.\nAnswer: -3, 0, 1, 1650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1873047, -1873656, -1874265, -1874874, -1875483?\n\"Answer: -609*n - 1872438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 + -21?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from 223408.384.\nAnswer: 223410.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5797, -3, 0, -4 in decreasing order.\nAnswer: 0, -3, -4, -5797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -5, 6, 4, 21, 1\/8, -4\/21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v - 11. Let f(u) = -5*u - 3. Let n(p) = 4*b(p) - 11*f(p). Let s(j) = 0 + 6 - 6 - 1. Determine -n(w) + 6*s(w).\nAnswer: w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 11) to base 15\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 195\/(-221) - (-32)\/(-17). Put -2\/199, 3, m, 0.4, -3 in descending order.\nAnswer: 3, 0.4, -2\/199, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-1 - 3\/3). Let b = -3 + v. Let n be (b\/12)\/(4\/6). What is the nearest to n in 4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/104 + 505\/325. Let x(w) be the first derivative of 1 + 0*w**3 - r*w**5 + 1\/2*w**2 + 0*w + 0*w**4. Find the second derivative of x(i) wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 3:38 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*n = -185, 2*h = 4*n + 327 + 223 - 432 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, 2\/13, 44, -10\/11, 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.944 - 9. Let m = 0.0560058 + f. What is m rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 11. Calculate the remainder when c(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 - -22?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 28*f - 4. Suppose 2*s - 38 = 4*l, s + 40 = 3*s - 2*l. Suppose 5*w - 7 = 18. Solve f = 2*q + 3*c + 13, w = 5*q + 2*c + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*c - 392 + 1, -4*l - 2*c = -366. Let r = -94 + l. Let i be (-1)\/3*-6 - r. Solve 0*h - 5*h - i*k = 2, 4*h + 16 = 2*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75251 is divided by 75243.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15265553 to the power of 1\/2, to the nearest integer?\nAnswer: 3907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3833221 by 5.\nAnswer: 3833221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(-32)*-20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 117 - (136 - (12 + 46))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - h - 30 = 4, -5*r - 5*h + 100 = 0. What is the remainder when 52 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -787*h**5\/5 + h**4\/6 - 2255*h**2 + 2058*h. Find the first derivative of p(q) wrt q.\nAnswer: -9444*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 13 + -11 + (3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 583145652 a multiple of 4620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221731439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14, 3\/4, -0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50226 - 1?\nAnswer: 50225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*u - 81, -4*u + u + 36 = 2*z. Let r(h) = h**2 + 13*h - 1 - z*h + 4 + 0. Give r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47245?\nAnswer: 5, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(14\/6 - -3). Suppose 2*v - u = -2*v. Suppose -2*t - 8 = -p, -p + 21 = -3*t - v*p. Which is the closest to -1? (a) -3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059775272?\nAnswer: 2, 137, 1879357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 927302\/(-6636) - -139 - ((-15)\/14 - -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/316568561 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95 + -3a?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 660?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12393687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -62 (b) -0.57 (c) -6.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/38475 and 109\/3847500.\nAnswer: 3847500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*p + 4*p. Solve -j + p*j = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 4\/(-8))*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 8, l: 3}. What is prob of sequence mmmm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0234 (b) -0.1 (c) 2 (d) -0.5 (e) -7.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 3 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 137 + 2*w**2 - 257 + 120.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2 - -55)*150\/200.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1083)\/(-6498) + (-218)\/12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -922592 - -1619083. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = c - 22, -133 = -5*c - 5*p + 77. Let m = -35 + c. Let n(s) = -9*s - 2. Give n(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 8413 = -7699 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeeeufyufuffefefw. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1100 - -1099. Let x = 4.05 - 0.05. Let v = x + -4.5. What is the fourth biggest value in 2\/5, c, 2, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 487635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 4847474*f**3 + 4847570*f**3 - 4*f.\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i - 3*i**2)*(2 - 2 + 2*i**3) + 11*i**5 - 5*i - 8*i**5 + 3*i + (-3*i**4 - i**4 + 3*i**4)*(i - 6*i + 3*i).\nAnswer: -i**5 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2363\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(2016\/81))\/(3\/4). Which is the second smallest value? (a) g (b) -13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 20*d + 57. Let j be f(-5). Let a = 276 + -188. What is the greatest common factor of j and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22114?\nAnswer: 2, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/60 - w**3\/30 + 37*w. Let q(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a - 6*a + 4000. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.1, -5 in ascending order.\nAnswer: -5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 71408.86 weeks?\nAnswer: 499862.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/6 and 24\/(-108) + 902\/684?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose -3*o + 3*a = -87, -5*a - 49 = d*o - 4*o. Suppose 60 = 5*j + p, 0*j + 2*j + 4*p = o. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/30 + m**4\/12 + 2*m**3\/3 + 9*m**2. Let f(g) = -g**2 + 3*g + 3. Let b(i) = -3*f(i) + 2*w(i). What is b(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 21*c + 20*c + (2 + 4 - 3)*(-4 - c + 4) + (8*c + 2 - 2)*(-2 - 1 + 4) + (2*c + 2*c - 5*c)*(-1 + 4 - 4).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-40)\/30)*20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163494857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 218?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 1 + (-3)\/(-1). Suppose n - 21 = 4*w + w, -10 = h*w. Suppose 8*s = n*s - 6. Solve -z = s, i + 1 = -0*i + 2*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.8 - -193108\nAnswer: 193120.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-7) + 144\/63. Suppose 0 = -b + 5*q + 5, 4*q - 30 = -22. Solve -z = a*z - b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24251462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 25. Let f(s) = s + 12. Let x(r) = 5*f(r) + 2*h(r). Let g be x(-5). Solve -2*l + g*q + 2 + 14 = 0, -2*l - 2*q + 2 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15061.1 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6261022 less than 3?\nAnswer: 6261025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmg. Give prob of sequence mg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1)*(-4)\/72*4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*m**3 - 34*m**2 + 3*m - 90834.\nAnswer: 18*m**2 - 68*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 16654?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*f - 632. What is the remainder when f is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.5196s to microseconds.\nAnswer: 429519600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 12 = c. Suppose -4*l + 7*l + 62 = 5*k, 4*k = -2*l + 32. Calculate the lowest common multiple of k and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 6*a - 3. Let g be p(-5). Let m be ((-9)\/2)\/(1\/g). Let l be (3\/m)\/(3\/2). Sort -4\/3, 1, l.\nAnswer: -4\/3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 12533380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3364.2 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_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: -253*4.1\nAnswer: -1037.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + -66. Let v be n\/20*(-4)\/(-7). Find m, given that 27 + 6*m - 29 - 3*m - m**v = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/24 - (-195)\/4. Let b be u\/20*20\/6. Let w(v) = v**2 - b + 8. Let j(a) = 2*a. Calculate w(j(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 31*s - 3. Let l(t) = -8*t + 1. Let r(z) = 4*l(z) + q(z). Let g(w) = -w + 4. Let j = -3 + 2. What is j*g(a) + 2*r(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*l + 4*l**2 + 36*l + 38*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131331 + 11?\nAnswer: -131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19530 and 243.6?\nAnswer: -4757508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, z: 3, j: 3, o: 1}. What is prob of sequence jr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -652, -981, -1312, -1645, -1980, -2317?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106631*m**3 - m**2 + 150134.\nAnswer: -319893*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6470869 is divided by 117652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 131019 divided by 95\nAnswer: 131019\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 238182353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8702 is divided by 271.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2097 (base 11) to base 16.\nAnswer: -ad0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**3 - 1562*i**2 - 931*i - 2458. Calculate h(313).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648960 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 481*a. Let d(o) be the first derivative of o**2\/2 - 148. What is r(d(x))?\nAnswer: 481*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 254198.9 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 3*g - 3. Let r be 4\/3*(-120)\/(-16). Let l(s) be the second derivative of -s**3\/6 + 2*s**2 - 4*s. Let a be l(r). Give y(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) + (-1260)\/(-225). Which is bigger: s or -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4334 is divided by 1311.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122777\/286447 + -2\/40921. What is the fourth biggest value in -25\/8, q, 0.3, 4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.004? (a) -0.1 (b) 421 (c) 1.1 (d) 1\/9 (e) -0.5 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -754.7449872908.\nAnswer: -754.6449872908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 25 = 0, 0 = -26*o + 27*o + 5*p - 116. Calculate the lowest common multiple of 884 and o.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3945038*t**4 + 6063*t + 30?\nAnswer: -47340456*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04608135*-0.1\nAnswer: 0.004608135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {p: 2, o: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 12133?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 + -108.3. Let l be (-76)\/(-10) - 2\/(-5). Let r be 2\/l - 15\/(-4). Put r, d, 3\/5 in decreasing order.\nAnswer: r, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 0) + 10 + (1 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 + 2107*z**2 + 3151*z - 5260 = 0.\nAnswer: -1052, -5\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -123223, -246382, -369541, -492700, -615859, -739018?\n\"Answer: -123159*k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -a, 0 = -2*a + 2*x - 2 + 6. Find the second derivative of 3*s + 15 - 14 - 44*s**a + 2*s**4 - 2*s wrt s.\nAnswer: 24*s**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from vvmsmmsvmmsvmmmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37609157 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(3 + -4 - -3 - 0). What is the hundreds digit of ((-159)\/6)\/(u\/(-56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - -121. Let p be (-16 - -15)\/(2\/(-4)). Solve 2*c + 5*f + 10 = 0, -2 - t = -4*c - p*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-1)*2186\/272. Let r = 654\/17 + t. Calculate the common denominator of r and 95\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5934.023m?\nAnswer: 5934023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 271023750 - -4?\nAnswer: 271023754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**4 + z. Let m(v) = -v**4 - v. Let x(c) = -6*d(c) - 5*m(c). Find the second derivative of x(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 6 = c - 2*c, c = -u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r + 4. Sort -2, 2, r in decreasing order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 7 - 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 9*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 30 = -9*l. What is the units digit of -459*(2 + (-11)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18694 + 18694 + 569*a.\nAnswer: 569*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**4 - 29*k**3 + 29*k**3)*(-1 + 4 - 5) + (0*k + k + 0*k)*(-k**2 - 2*k**3 + k**2) - 2*k**4 + 2*k**4 - k**4 + (-5*k**3 + 2*k**4 + 5*k**3)*(0 + 0 - 2).\nAnswer: 7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - 1) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 36*u**2 + 22*u - 111. Give o(12).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 20 + 30*k**2)*(-3*k**2 - 9*k**2 + k**2).\nAnswer: -330*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/15 - (-6)\/(-10). Let g be i\/1*(-2 + -2). Let u = g + -4. What is u rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 58 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -739*r + 8. Let m(h) = 740*h - 7. Let q be ((-5)\/2)\/((-16)\/32). Let f(w) = q*u(w) + 6*m(w). Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 6\/8 - 54\/(-24). Let n(b) = b**3 - 11*b**2 + 4*b + 13. Let z be n(10). Let w = -45 - z. Solve -w*m = -5*y + 13 + 9, -c*y = 2*m - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*w + 5*c, w + 3 = 3*c - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-294)\/2205 - 14564\/(-5280).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/25)\/((-6417)\/69).\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 2893 - 501. Let m = 310 - d. What is the remainder when 36 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1864 - 1864 + 7*n - 3*n + 6*n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/(9\/((-63)\/(-2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**2 - 65*z. Let p(m) = 2*m. Give g(p(i)).\nAnswer: -60*i**2 - 130*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 10. Calculate the remainder when (-1 - -1)\/(7 - 5) - -6 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 19 - 44 = 0, 5*k + 4*v = -5. Solve -5*i = -0*s - s - 25, -i + k*s = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d - 3*k - 7, 5*d - 4*k - 21 = 0. Suppose -v = 1, o + 0*o = -d*v - 9. What is the units digit of 2\/(-4) - 10\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -25 - 3) + -12 - 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1581 + -1530. Solve 31 = 4*o + t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 101. Let q be v(25). Let a = 7 - -5. Suppose -a - 13 = -5*w. Let h(j) = -j + 1. Let p(c) = 7*c - 6. Determine q*p(b) + w*h(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2417412 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8662.379 rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 14*k + 2. Suppose -50 = -3*x - 3*a + 5*a, 3*a = -3*x + 30. Let h be q(x). Solve 2*g - g = h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**3 - 2*j**2 + 7*j. Let l be (-1)\/7 + (7 - 873\/63). Let w(p) be the third derivative of p**6\/30 + p**5\/60 - p**4\/8 - p**2. Give l*w(b) - 3*q(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i = 32*i + 139134. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 4. Give b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558 + 564. Let x(s) = -7*s**3 + 16*s**2 - 22*s + 27. Let w(m) = 13*m**3 - 33*m**2 + 44*m - 54. Let p(y) = v*w(y) + 11*x(y). Calculate p(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-21))\/(2\/(-6)). Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/9 + 508*g**4\/9 + 8582*g**3\/9 - 135904*g**2\/9 - 164320*g\/3 + 68864 = 0. What is g?\nAnswer: -24, -4, 1, 12, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(76)) + (sqrt(76) - (sqrt(76) + 0))*-6 - (-3 + sqrt(76) + 1 + 4))**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 13*l**2 + 39*l + 1. Calculate a(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9667583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1537, -1944, -2409, -2938, -3537, -4212, -4969?\nAnswer: -5814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = -2*m + 7986. Suppose 0 = 365*j - m*j - 8. Solve j*r + 8 = 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3853475.\nAnswer: 5, 17, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*v + 122 = 1032, -3*o + 1368 = -3*v. List the prime factors of o.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-14)\/(-50)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 21548 - 43354 = 29*y - 21026 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2 (b) 7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 3865056?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z**3 - z**2 + z + 1. Determine f(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2944*k**2 + 5895*k**2 - 27*k - 2948*k**2 to d + b*k + h*k**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2696 - t + 2696 + (-2*t + t - t)*(-1 - 2 + 5) + 2 - 2*t - 2 + ((2 - 2 - t)*(2 + 1 - 1) + 0 + 0 - 2*t)*(3 - 3 - 2).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1608 - 711 + 10588*i - 10591*i in the form h + x*i and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 0 + c - 2 - 3*c. Let l be r(-2). Suppose 0 = l*p - 4*p. Solve 5*j - 5*t + 15 = p, t - 6 = 2*j - 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000812 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, v: 2}. What is prob of picking 3 k?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 14. Let t(j) = 7*j + 1984. Determine q(t(u)).\nAnswer: 98*u**2 + 55552*u + 7872498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 17 = -5*s - 4*k, -s + 13 = 4*k. Let m(v) = 4*v**2 - 2*v + 1. Let q be m(s). Suppose 2*h = -q*h. Solve h = 5*f - 4*z - 5, -f - z - z = -1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 355*d**3 - 3*d**2 - d + 1. What is b(-1)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/6 + 8)*6\/(36\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -113021?\nAnswer: 113012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 - 87*r**2 + 30*r + 93. Calculate q(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 221*l**5 + 2917*l**4 + 7*l + 458546 wrt l?\nAnswer: 4420*l**3 + 35004*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 14*h + 8. Let p = 50 + -44. Suppose -4*z - 46 = p. Is q(z) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)\/((s**0*s)\/s)*(s**0)**(1\/19) assuming s is positive.\nAnswer: s**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/250*(-6 + 1). Suppose -9 + 24 = 3*i. Which is the biggest value? (a) -51 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -32*r - 6*r**2 + 7*r**3 + 3 - 34*r + 70*r. Let h(m) = -8*m**3 + 5*m**2 - 3*m - 3. Let g(a) = 5*h(a) + 6*v(a). Does 7 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21*(3 + 16\/(-6)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + n - 55 = 20*s, 4*s - 105 = 5*n. Let u(i) = -i**2 - 13*i + 4. Let r be u(-13). Which is the biggest value? (a) r (b) 0.3 (c) s (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17101 (base 15) to base 12.\nAnswer: -37124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 61 (c) -14\/3 (d) -0.2 (e) -20\/3 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405 + 0.92.\nAnswer: -1404.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4269.978 + -4270. Is 18\/25 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 13 = -4*a, 2*a - 5*h = -0*a + 9. Suppose 2*t = 2*i - 106, -2*i - 158 = -5*i + a*t. Let p = i + -51. Which is smaller: p or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 51330, 205464, 462314, 821886, 1284186, 1849220, 2516994?\n\"Answer: a**3 + 51352*a**2 + 71*a - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59\/3 + 20. Let a be 7 + -1 + (-52)\/(-195)*-18. Let p = -349 - -1049\/3. Put s, a, p in descending order.\nAnswer: a, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-756)\/(-36)*(-4)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, x: 2, f: 3, l: 2}. What is prob of sequence hlx?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, j: 3, f: 1, x: 2}. What is prob of picking 3 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 483\/5. Let w be (-1)\/2*-4*2. What is the smallest value in w, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/3106369 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*p - 3 + 0 - 2587*p + 3.\nAnswer: -2241*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.348 and 3.8.\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(45\/(-4018008)) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -52 + 69 - (30 + -10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.888992838 plus -3?\nAnswer: 585.888992838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -0.2. Let f = 2.25 - 2. Let l = f + s. Which is the second smallest value? (a) l (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2892 - 2859. Calculate the remainder when 53 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.84681 micrograms in grams?\nAnswer: 0.00000884681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Solve -2*b - 2*u = -3*b + g, 3*b = 4*u + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1139630*t*w**2 - t + 25*w**2 - 72690584*w wrt w.\nAnswer: -2279260*t + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 9*p**2 + 10*p + 12. Let g be u(-8). Let k be 0*g\/16 - -2. Is (66\/2)\/(k + -1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/3 + t**3\/6 + 18*t**2. Give k(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3896*p + 9434. Let x(c) = 779*c - 1883. Let k(u) = 2*q(u) + 11*x(u). What is the first derivative of k(v) wrt v?\nAnswer: 777","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -8*p**6\/15 - p**5\/20 + 30*p**2 + p - 10. What is the derivative of f(a) wrt a?\nAnswer: -64*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6.8. Let q = 2.06 - 0.06. Let h be 1\/((-8)\/(-2) - 5). What is the second biggest value in h, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*t + 410 + 2570 = -804 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:27 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(209)*1*-2)\/sqrt(11) + -3*(sqrt(931) + 1)*-2.\nAnswer: 11 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -546 (b) 0.1 (c) -4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-4)*(257 - (6 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 52. Let z(v) = -v**2 + 7*v - 14. Let s be z(l). Put 2, s, -3, -5 in ascending order.\nAnswer: -5, s, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28980 = 5296*f - 4036*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1257879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.4, -1\/6, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t - 0*t. Let g = t - 7. Let b = g + 2. Which is smaller: b or 2\/31?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11870, 11822, 11774, 11726?\n\"Answer: -48*p + 11918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0355 - -64?\nAnswer: 64.0355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 16. Let h(w) = -12*w + 47. Let y(i) = 8*f(i) - 3*h(i). Let t(r) = -2*r. Give y(t(u)).\nAnswer: -8*u - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 12. Let k(o) = 4*o**2 + 94*o - 23. Determine 2*k(f) - 4*w(f).\nAnswer: 8*f**2 + 184*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 11:41 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/(-16))\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*o = -17, -12*l + 389*o = 387*o - 72 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.2, -5, 0.5, -2\/285 in ascending order.\nAnswer: -5, -2\/285, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 s, and 1 u when four letters picked without replacement from ssssccccssuucssucsc.\nAnswer: 189\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*y + 3)*(1 + 1 - 4) - 21*y + 6*y + 7*y - y + y + y)*(-3 - 2*y + 5 - 3).\nAnswer: 22*y**2 + 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2643601602413.\nAnswer: 2643601602414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2176 + -2170. Solve -42*o + i = -44*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:19 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34631197 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*t - 32, -3*t = 4*g - 8*t - 64. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950381 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -285? (a) 0 (b) 10 (c) 1 (d) -4 (e) 5 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 51.72. Let c = m - 3.59. Let u = c - -1.3100071. What is u rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-18)*2*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 11)\/(6\/(-4) - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -2. Let z be (0 + 0\/2)\/((-8)\/(-4)). Suppose -3*o = 3*q - 24, 0 = 3*q - z*o - 2*o - 9. Solve n*g - 3*g = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + i = -0 - 2, i = 2*v - 7. Suppose -4 = f - v*f, 2*f = -2*k + 1612. What are the prime factors of k?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 10:58 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 7*k**2 - 6*k**2)*((1 + 3 - 5)*(1 + 1 + 0) + (19 - 1 + 58)*(-3 + 1 + 3)).\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.6. Let a = b + 4.4. What is the closest to -2\/5 in 0.3, a, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6771 - 6771 + 27006*q - 26704*q.\nAnswer: 302*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 + 559*u\/2 = 0. Calculate u.\nAnswer: -1118, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1560395.\nAnswer: -1\/312079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:10 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 42727417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 66\/4. Suppose -3*r - 3 = 9, 23 = 5*u - 2*r. Suppose 35 = u*h - d. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and -2236?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -4. Solve -2*n = -3*n + j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + -3 + (sqrt(66) + 1*sqrt(66)*-4)\/(4*sqrt(384)).\nAnswer: -9 - 3*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 8 + 13 + -28 + 5 + -4 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11988498*q**3 + 2*q**2 - 21*q - 53940 wrt q?\nAnswer: -71930988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2591 + 4223. List the prime factors of b.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 10. Let g be k(-8). Let o(l) = -3*l. Let y be o(g). Calculate the greatest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16)*(-4 + 10). Let q(z) = 5*z + 18. Calculate the smallest common multiple of 4 and q(u).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijjp when four letters picked without replacement from iiaaijijpajiar.\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c + -1?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23003 (base 5) in base 4?\nAnswer: -121130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 15. Suppose -10 = 5*r + s*b, -b = -0*r + 5*r + 2. Let k(a) = -5*a - 1. Let w be k(-1). Sort w, r, -1.\nAnswer: -1, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llflllllf. Give prob of sequence ll.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-24))\/((-17)\/((-1989)\/(-26)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 12*d**2 - 15*d - 3. Let z be h(11). Let b = z - -70. What is the remainder when 91 is divided by b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/62 and 115\/24438.\nAnswer: 757578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 1008.4?\nAnswer: -1007.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1565 + 0.76\nAnswer: 0.6035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32063737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-23)\/7 - (-4)\/14. Let f be s\/2 + (-18)\/(-12) - -150. Let w = -137 + f. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -432 + 461. Calculate the remainder when 113 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v - 177. Let x be g(-11). Let y(f) = f**3 - 7*f**2 + 25*f - 23. List the prime factors of y(x).\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(108)*2))\/(sqrt(6) - sqrt(30)\/(sqrt(20)\/sqrt(4)) - sqrt(6) - sqrt(54)*1) + 1.\nAnswer: -sqrt(2)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*18\/24)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -11110110110010000?\nAnswer: 11110110110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.3 - 16.3. Let k = 320.98 - 318. Let i = k - -0.02. Which is the third smallest value? (a) -3 (b) n (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 6.3 in increasing order.\nAnswer: 0, 4, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 + 2*d - 2. Suppose 3*f - 4*f + 5 = 0. Suppose -2*a + 8*a - 12 = 0. Suppose 8 = a*z, 0 = -f*m + z - 5 + 21. Give l(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmbaabqaaama. What is prob of sequence qq?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(960\/(-54)) - (-6)\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r + 37 - 1\/10*r**4 + 4\/3*r**3 - 8\/5*r**2 - 2\/25*r**5. Factor v(w).\nAnswer: -2*w*(w - 2)*(w - 1)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*g**4*i**3 + 754*g**4*i**2 - g**2*i**3 - 21*g**2*i**2 - 9*g**2*i + 6*i**3 wrt g.\nAnswer: 552*g*i**3 + 18096*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39912 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79290683?\nAnswer: 23, 1283, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1246022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.87373 meters to kilometers.\nAnswer: 0.01387373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30632\/13 - 2354. Let a = -474\/5 - -3193\/35. Calculate the common denominator of a and s.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/(-460)*1\/4. What is the closest to 0.4 in 2.6, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1 - (-13 + 18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 33*z + 1534. Let r be y(-26). Solve -2594*a + 2604*a - 40 = r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.6, -3\/2, -0.2, 4 in increasing order.\nAnswer: -3.6, -3\/2, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b - 2 - 15*b + 0 + 3. Calculate l(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3*n. Let v be p(4). Let m(k) = k**3 - 2*k**2 - 9*k + 8. Let c be m(v). Solve -c*y + 6 + 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(((-55)\/(-10))\/(-11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 54235 - l - 54235 + 0*l. Let p(x) be the second derivative of 3*x**3 - 3*x + x - 5*x**3. What is p(d) - 15*z(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let u(l) = l**2 + 2*l + 13. Let f(w) = 2*k(w) - u(w). Let j(c) be the first derivative of f(c). Let g(b) = 68*b. Calculate j(g(s)).\nAnswer: -136*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4659 + 5986. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 - (-11 - (-5 + (-1 - 10)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/6))\/f**(-5\/4)*f**(-6\/5)\/f**(2\/25) assuming f is positive.\nAnswer: f**(541\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1404 = 177*o - 89*o + 20*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1\/7 (c) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 479868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljljodjofjdofojjloo. What is prob of picking 1 j, 1 o, and 1 d?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/240 + 5*k**4\/96 + k**3\/4 + 2*k**2 + 46. Factor t(l).\nAnswer: (l + 2)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-8 - -7) - 15\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -278.\nAnswer: -5\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.055695 + -0.255695. Let n = 0.3 - 0.4. Which is the closest to n? (a) q (b) -4 (c) -2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 776 - 1088. What is the units digit of (c\/(-182))\/(2\/469)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 5707?\nAnswer: -5707.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 69, 12, 2\/55, -8, 0.18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -17 + ((-9 - 3) + 6 - -6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.157362 centuries?\nAnswer: 81.57362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/2438 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10315 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21706*q**3 + 13434*q wrt q?\nAnswer: 130236*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 7*l = 0, 3*t - 3*l = 7*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12047*j - 180795. Calculate z(-15).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 16, -58\/129?\nAnswer: -58\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*b - 11 = -0*y, -1 = y + b. Let a be (-2)\/(-8) - y\/12. Solve a*s = 4*w + s + 18, 0 = -4*w + 2*s - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -220. Find the third derivative of -157*u**3 + 71*u**3 + 75*u**2 + 69*u**3 - l*u**4 wrt u.\nAnswer: -72*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a = 96 - 51 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 45286*u + 271706. Determine x(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 + 3*w + 2. What is d(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 32 = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 154, 327, 558, 841, 1170, 1539?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 205 = -2*p + 5*h, 65 = -p + 4*h. Let m = 33 + p. List the prime factors of (-643)\/(-4) + -2 + 9\/m.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -335, -557, -821, -1133?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 184*y - 607. Is q(17) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(5\/75). Suppose -2*c + 12 = -y. Solve 3*o - 2 = -c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {b: 1, k: 1, u: 1, z: 1, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 4*x - 5. Suppose -3*c - 11 = -2*y, -1 = -c + y + 2*y. Let l be b(c). Let v = -6 - l. Is -2\/7 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -427 or -428?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w + 126. Let t(y) = 5*y**2 - 215*y - 178. Calculate the least common multiple of t(44) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641640 = 62*r - 22*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4398 + 4392 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702954 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16911479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 72524270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 2*g - 5. Let w(c) = -6*c**2 + c + 6. Suppose -5*u = -u + 5*z - 4, 4*u + 4*z = 0. Let v(n) = u*w(n) - 5*f(n). What is v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 33*r - 328. Let s be l(-8). Which is the smallest value? (a) 5 (b) s (c) -490\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 - 97. Is r\/(-6)*17\/(-1)*-122 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 185*o - 4. Let z(g) = g**2. Calculate i(z(h)).\nAnswer: 185*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 155 - 159. Sort 12, y, -1 in descending order.\nAnswer: 12, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2196 (base 10) to base 9\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*q - 1422, -2*c = -q + 158 + 128. What is the smallest common multiple of q and 248?\nAnswer: 17608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -484*j**4 + 57992*j**3 - 1731844*j**2 - 316320*j - 14400.\nAnswer: -4*(j - 60)**2*(11*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18\/20965 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/22)\/(4\/(-8))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -8)\/((-2)\/(1*-4)). Suppose -z = -4*u - 260 - 96, 2*z + 368 = -x*u. Let f = u + 98. What is the remainder when 28 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -57*u**3 + 36*u**2 - 10*u - 135. Is s(-7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-2 + 218\/3). Let v = 297 - a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let t be -2 + 54\/(-9) + 13. Suppose -5*y + 605 = 5*b, d*b + 590 = t*y + 2*b. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:54 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310960668 and 670.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1597470 by -14.\nAnswer: -114105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 = -2*n + 3, n - 3*z = 4. Let g(q) = -33*q + 4. Let y be g(-5). Calculate the highest common divisor of n and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y. Let w be 2*-2*3 + 2. Let a be (-28)\/20 + 6\/w. Calculate c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.158.\nAnswer: -0.0474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 3, -9\/2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**4 + 3*m - 986*m**3 - 2 + 3 + 991*m**3 - m**2 to f*m**3 + a*m**2 + w + k*m + c*m**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*t - 57*t = -80. Suppose -729*r - r**t + 20*r**2 + 744*r - 21*r**4 - 4*r**5 + r**4 - 10*r**3 = 0. Calculate r.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:36 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-2 + 16\/4). Factor -1\/4*g**4 + 0 + 0*g**3 + f*g + 1\/4*g**2.\nAnswer: -g**2*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 7*y**2 - 3*y + 14. Let b(p) = p - 23. Let q be b(17). Let n be i(q). Let z(g) = g**3 + 6*g**2 + 5*g. Give z(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 120. Sort a, 2, 7 in increasing order.\nAnswer: 2, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 7. Let s = -4 - g. Let o be -37 + 7 - 884\/(-26). Solve 6 = -s*a - 2*m, -o*a + 0*m = -m + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 28, 2\/21, -6.\nAnswer: -6, -0.5, 0, 2\/21, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/(-90) + (-26)\/117. Suppose o = 5 + 13. Let l be ((-3)\/o)\/((-2)\/2). Sort -0.3, r, l.\nAnswer: -0.3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8258594866?\nAnswer: 2, 17, 23, 31, 101, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z - 853 + 2491 = 0. What is the lowest common multiple of z and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316\/3*y**2 + 44\/3 - 26\/3*y**3 - 334\/3*y = 0.\nAnswer: 2\/13, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 457229 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:42 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 44. Let t = -29.9966 - a. What is t rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235992.\nAnswer: 2, 43, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*117\/27 - (-2)\/3. Let w be 396\/154*(p\/(-3) - -2). Let a be ((-18)\/27)\/((-2)\/(-3)). What is the second biggest value in w, a, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.42642658 to 3 decimal places.\nAnswer: 3.426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 247 - -94?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 7505 + 5863. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 515986810*s + 66560597023494025.\nAnswer: (s + 257993405)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 11, 4, -2\/5, -2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 28*l + 154. Calculate the remainder when j(-6) is divided by 78.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**4 - 3*w**3\/2 - 6*w**2. Let b be m(5). Suppose -3*d + b = 24. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001522 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -4.77224.\nAnswer: -0.477224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*d = 88*d - 2. Let t(a) = 6*a**3 - a. Let p be t(1). Suppose p*r + 4*f = 5, r - f - 5 = -4*r. Calculate the greatest common factor of r and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + 4*w**2 + w**2 + (0*w - 4*w + 2*w)*(-2*w + 2 - 2) + 5*w**2 - 5*w**2 - w**2 - 1 + 1 + 4*w**2)*(-7 + 7 + 2*w**2).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 2*k + 1. Let c be h(2). Suppose 6 = -3*v + c*v. Solve 1 = 2*b - v*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004820 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 22*l - 12. Let x be u(-9). Let w = x - 30. Is 76 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 11*t**4\/6 + t**3\/3 + 278*t. Let p(i) be the third derivative of -i**5\/60 - 2*i**2. Give w(p(r)).\nAnswer: 22*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 71640.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Let j(l) = l + 1. Let f be j(5). Suppose -v + f*v = d + 267, -3*v - s*d = -149. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8760139457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2332 = 2*r - 5*f, -r - f + 1166 = 0. Let q = r - 2241\/2. Find the common denominator of q and 9\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-154))\/(((-26)\/(-143))\/((-28)\/22))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9057.145 + 9035. Let d = f - -22. Let k = d + 0.224. What is k rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:35 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/((-1071)\/(-168))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529 is divided by 136.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57857, -62131, -66405?\n\"Answer: -4274*z - 53583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -557322734.9 rounded to the nearest 1000000?\nAnswer: -557000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 37.48113 days?\nAnswer: 3238369632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5\/6)\/k)\/k**(1\/20))**(1\/6))**25 assuming k is positive.\nAnswer: k**(-565\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 11*l**2 + 1024*l - 3121. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 11*w**3\/3 - 48943. Let v(g) be the second derivative of 3*g**3\/2 + g. Give v(q(a)).\nAnswer: 99*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 813767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 66 and 5.2.\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-4)\/40*(5800\/10)\/10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934102574.\nAnswer: 2, 131, 3565277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*i + 4. Suppose 0 = -2*v + i*v - 20. Solve v*z - 3*z = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -89, -93, -99, -107, -117, -129?\n\"Answer: -t**2 - t - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 3 + 2 + (13 - 12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2363 - -15?\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 0 + 5*k + 0. Let g(j) = 6*j**2. What is a(g(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 3. Let l = -7 + 11. Let q = 2 - 2. Let f = q + l. Give i(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44\/5? (a) -0.1 (b) -0.2 (c) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 13846?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48692 and 34874?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9039897 and 22097526?\nAnswer: 198877734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67760 and 13.8.\nAnswer: 935088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2435 (base 6) in base 14?\nAnswer: -30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7026292 + 1.1285?\nAnswer: 7026293.1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, v: 6, c: 2}. Give prob of picking 1 a and 1 c.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2383296 - 3268\nAnswer: -2386564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8350\/25 + 0\/(-1). Let r = 366 - k. What is the common denominator of 8\/71 and r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-36))\/(((-247)\/39)\/19)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(4\/13)*(r\/(r*r\/r**15))\/r*(r**(-1\/13)\/r)\/(r\/(r**5*r*r)*r) assuming r is positive.\nAnswer: r**(229\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -900873*l**2 - 9*l - 23358594 wrt l?\nAnswer: -1801746*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(176)*5)\/(4*-1*sqrt(8)))\/((sqrt(1584) - -3*sqrt(1584))*5 + (sqrt(1584) - -6*(sqrt(1584) + (sqrt(1584) - (3*sqrt(1584) - sqrt(1584)))))).\nAnswer: 5*sqrt(2)\/336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 1, d: 3, k: 5, n: 2, c: 1}. Give prob of sequence hxxh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496831.\nAnswer: 7, 213833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/7, 0, -108, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 14*w**3 - 3*w**2 - 2*w**3 - 1 + 1 + (-5*w - w + 4*w)*(2*w + w**2 - 2*w).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 6*z**2 + 6*z + 9. Let f be d(7). Suppose s = -f*s + 72. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39103, -79023, -118943, -158863?\n\"Answer: -39920*b + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/3 - 85*z**4\/24 + 10*z**3\/3 - 15*z**2 + 37*z. Let w(o) be the first derivative of m(o). Factor w(s).\nAnswer: 5*(s - 4)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -19*p**3 - 279*p**2\/2 + 30*p + 48. Let l(v) = 0. Calculate v.\nAnswer: -5, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 2*w**3 - w**3 - 2*w - 3*w**3 + 4*w**3 in the form u + c*w + d*w**3 + o*w**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + o - 4*o + 11 - o to the form h*o + i and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*s)*(6*s - 7*s + 6*s + (2*s - 4*s + s)*(2 + 3 - 7) + 1 + 3*s + 9*s + 1) to k*s + l*s**2 + x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 52681.5 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d - 4. What is the common denominator of 14\/(-24)*d + 0 and -41\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4 + 3*r + 0 - 17. Let i be u(6). Let h = 4 - 0. Sort i, 0, h in increasing order.\nAnswer: i, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcaazacczacccz. Give prob of picking 3 a and 1 c.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwhhwwhhh. Give prob of picking 3 h.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 4*f**2 - 1 - f**2 - 3*f**2 - 2*f. Calculate k(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:56 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose 2*d = 4*j + 126, p*d - j - 166 = 149. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5210 and 130?\nAnswer: 67730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from qkxktqkotxxk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7570588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 5*w**3 - 5*w**2\/2 + 2*w. Let s be f(-4). Let n = s - -877\/7. Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 42*f**4 + 5*f**3 + 5*f**2 - 9. Let z(m) = 42*m**4 + 4*m**3 + 4*m**2 - 9. Let t(v) = -4*h(v) + 5*z(v). Find the first derivative of t(u) wrt u.\nAnswer: 168*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 0. Let f = q + 8. Put -3, f, -2 in increasing order.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdipddpidp. Give prob of picking 1 i and 2 p.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 1, k: 1, t: 2, w: 2, a: 1, i: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 - 74*i + 498. What is m(10)?\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 3, -1, -6 in descending order.\nAnswer: 10, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1669, -2\/3, -1\/2, 0.5, 5?\nAnswer: -1669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1933 - 433 = 6*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-5 - 3))\/((-21)\/49)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 107 = 12*u. Let g be (-8)\/(-522)*3\/(-2). Is u greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icir when four letters picked without replacement from {e: 2, r: 4, c: 4, i: 4}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38956, -38858, -38700, -38482?\n\"Answer: 30*f**2 + 8*f - 38994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16424 + 2.5?\nAnswer: 2.66424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(-2*sqrt(720))*4)**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227 - 140. Suppose -a = 3*l - 6*l. Suppose 26*i = l*i - 588. What is the highest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 9\/(-3)) + 413935. Let p be 5\/10 - k\/(-4). Let u = p + -172484. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164142483*f**3 - 3*f**2 - 89866*f - 73 wrt f.\nAnswer: -984854898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-5))\/1)\/((7917\/(-290))\/39)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 213.0852 weeks?\nAnswer: 128873928960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6*y + 4*y + 182, -5*o = y - 91. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 436.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/4 (b) 1\/3 (c) -15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 69, 135, 235, 375?\nAnswer: 561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -22. Suppose w*f - 2*f = 0, -5*f = -3*i + 36. Calculate the lowest common multiple of (4\/12 + 2)*9 + 1 and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 354 + -4604\/13. Which is the nearest to -2\/7? (a) -6 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14155.4 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-68)\/(2*(-3)\/24). Suppose -15 = -262*z + 257*z. What is v in 10*v**5 + 292 - 95*v**z - t + 58*v**2 + 97*v**2 - 95*v + 5*v**4 = 0?\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.135 - 1.135. What is the closest to h in -2\/73, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:12 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, 3\/2, -4, 2\/11, -12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/(-49) + (-125)\/35 + 5. Let r(t) = 3*t + 34. Let l(f) = f + 11. Calculate n*r(d) - 7*l(d).\nAnswer: -d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41820809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + ((-33)\/7 - -1). Let z = 0.1 - 0.1. Let o = 3 - z. Which is the third smallest value? (a) o (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 2, -638 in decreasing order.\nAnswer: 2, 0, -7, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1103 or 7562.74?\nAnswer: 7562.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + 1 - (1 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -4.05.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/60 + m**5\/12 + m**4\/6 + 4*m**3\/3 + m**2 + 7*m. Let v be l(-4). Calculate the greatest common factor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -v + 152, -4*v + 62 = -11*r + 13*r. Let d(a) = -3 - 38*a + 7 + r*a. Let o(s) = s**3 + 2. Let g be o(-2). Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50026543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 plus -33?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*q, -2*f - 3*f - 3*q + 16 = 0. Suppose -f = -c - 0*c. Suppose -c*v + 68 = 20. Calculate the highest common divisor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -909, -1049, -1283, -1611?\nAnswer: -2033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -5)\/(1\/(-4)). Suppose -l*w - 32 = 40. Let u = 30 + w. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 3*a. Let y = -669 + 662. Let k(p) = 5*p**2 + p. Give y*k(h) - 3*i(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1833 or -1?\nAnswer: 4\/1833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270368077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 + 41288*y\/7 + 247584\/7.\nAnswer: 4*(y + 6)*(y + 10316)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2493884 is divided by 404?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from oodlyltodofoyoy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5228 + -5230. Let d be 1\/1 + 1 + -10. Put d, l, 4 in descending order.\nAnswer: 4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5646*l**2 - 2798*l**2 - 4 + 4 - 2697*l**2.\nAnswer: 151*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1296.1 to the nearest 10.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0.12 (c) 0 (d) 19406803\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -9129416391?\nAnswer: 9129416390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2. Let x(c) = -65*c + 116*c**2 + 26*c + 37*c. What is x(k(d))?\nAnswer: 464*d**4 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 74. Let f = m - 21. Suppose 242 = f*n + 32. Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j - 52. Suppose 3*z - j = 4*w + 8, -2 = -3*z - 4*w. Is 4 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**4\/24 + 38*m**2. Let y(k) = 149 - 143 + 4*k - 5*k. Determine p(y(r)).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2 + 4)**2 + (1*sqrt(567)*-1)**2.\nAnswer: 16*sqrt(7) + 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239 + 140. Let h be 4\/(-22) + (-315)\/y. Suppose h*d = d + 14. What is the remainder when 12 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192345689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -0.2, 948, 0.2, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) - (sqrt(90) + (sqrt(90) - -2*sqrt(90)))\/sqrt(10)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqvqqvqqqqqqqqvqq. What is prob of picking 3 q and 1 v?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 5*g - 57. Is h(-11) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 4*g + 1. Let k be a(-3). Suppose -7 + k = -j. Suppose -j*t + 201 - 50 = -4*q, 5*t - 273 = -4*q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/16*(60\/(-8))\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661807 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1\/4 (c) 1045 (d) -2 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 - 224*d**4 - 3416*d**3 - 17104*d**2 - 14532*d + 35280 = 0. Calculate d.\nAnswer: -35, -12, -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 56. Calculate the lowest common multiple of (-1 + 3\/(-3))*d and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3592 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 4*g**2 - 2*g + 8. Let a = 5 - -6. Let y(o) = -1 + 3*o - 14 - 8*o**2 + 2*o**3 - 4*o**3. Let u(k) = a*z(k) + 6*y(k). Give u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -38*s + 43*s - 3*s**2 - 6*s**2. Let t(g) = 2*g**2 - 7*g**2 + 3*g + 0*g**2. Give -3*j(y) + 5*t(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = -12*h + 16*h + 119. Let j(m) = -m**3 - 8*m**2 - 5. Calculate j(h).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 11*d - 3*b - 2*b - 45 = 0, d - 3*b - 5*b - 72 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -686, -530, -292, 10, 358, 734, 1120, 1498?\n\"Answer: -3*d**3 + 59*d**2 - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12292 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1188 divide 50143104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/3 - -6. Let o = -410 + -142. Let p = 551.5 + o. Which is the nearest to 5? (a) n (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 12*t - 20. Let x be d(2). Solve 0 = -i + x*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*u + 382. Let j = u + 198. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12242.8 - 12242.8000135838. Round x to seven dps.\nAnswer: -0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:34 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 7*i**2 + 13*i + 1. Let v be z(4). Suppose -3*k + 40 + 7 = v*p, 5*k - 25 = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10545.3 + 9994. Let u = o - -505. Round u to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + y**5 + 2*y**5 + (-3*y - 3*y + 2*y)*(4*y**2 - 3*y**4 - 4*y**2).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 15*c**2 - 2971*c + 30214. What is v(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:26 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001101 - 1?\nAnswer: -10000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 16*l - 30. What is g(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 3*q - 4*q + 1 - 7*q. Let b(i) = -3*i - 2. Determine 3*b(o) + 5*k(o).\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 h when four letters picked without replacement from {l: 9, h: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and 1553?\nAnswer: -46.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26069394 divided by -15353.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6656, -8053, -9450, -10847, -12244, -13641?\n\"Answer: -1397*v - 5259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:57 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/7 (c) -3\/2 (d) 154\/5 (e) -2 (f) 26\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1372*t + 1 + 10 - 1374*t.\nAnswer: -2*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2233 and 63539406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15469 * 5.5.\nAnswer: 85079.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, -6, 0.9, 1, -34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*q**3 + 33*q**3 - 32*q**3 - 25*q**3.\nAnswer: -108*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 333155 (base 7) to base 16\nAnswer: e576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 640673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 7*o + 6. Suppose -24 = -5*s + 9*s. Calculate u(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/2 + 2\/4. Let y = q + -2. Let c(b) = 5*b**2 - 2. Let f be c(y). Solve f = 4*z + 2*g, 0 = 4*z - 5*z + 5*g - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**2 + 0 + 0*w + 0*w**4 + 1\/30*w**5 + 0*w**3. Let m(c) be the second derivative of -c**3\/6 + c. Determine m(s(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2137554 to the power of 1\/2, to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - c - 3*c - 6, -3*o = -2*c - 15. Put -3, 4, o in descending order.\nAnswer: 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -7, -1\/121, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.6. Suppose -y - 4*y + 5 = 0. Let o = 347 - 346.7. Put k, o, y in decreasing order.\nAnswer: y, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/160*(-1388)\/(-18). Let x = 49\/16 + k. Find the common denominator of x and -3\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + -5.08. Let i = 2150 + -2161. Suppose -2*y = -3*a + a + 2, -4*y + 3*a = 2. What is the nearest to y in -1\/9, i, j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 0 - 3 - (660 - 657)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1695948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.6445 millimeters in meters?\nAnswer: 0.5246445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*q**3 + 6*p**3 + p**2*q**2 + 3*p - 6489*q**6 - 11*q**2 wrt q?\nAnswer: 6*p**3 - 778680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167589769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19190 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 + 4*f**2)*(-3*f - 2*f + f)*(-3 + 1 + 0) as q*f**2 + v*f + k + r*f**3 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 52*k**2 - 26*k - 12. Is i(-6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/(-11*88\/13068).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7618 - -7597.684. Let x = 0.116 + s. Let u = x + 20. Which is the nearest to 1? (a) u (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -152*c*x**3 - x**3 + 97 wrt c?\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 18. Suppose -47 = 5*r + 13. Is 9 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20664, -41327, -61978, -82617, -103244, -123859?\nAnswer: -144462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -4)*3 + sqrt(84)\/(2*sqrt(132)\/sqrt(11)).\nAnswer: -12 + 55*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3212*p*t**3 - 60547*p*t**2 + 148268991*p*t wrt t.\nAnswer: 19272*p*t - 121094*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*b - 2002 = 3670, -a = -3*b - 1899. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045301387687 - 17.8.\nAnswer: -17.754698612313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*w + 22 = 0. Suppose -3*z + 7 = 5*d - w, 2 = 2*d - 2*z. Suppose -6*l + 12*l - 24 = 0. Solve -p - 3*p - l = -d*v, 0 = v - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 bigger than 315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5263 - 0.4737. Let s be 12\/9*6\/(-14). What is the third smallest value in s, -4\/5, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2 - 81424*l + 414366736 = 0. Calculate l.\nAnswer: 10178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -11*q + 81. Suppose -w + 14 = -8*h + 12*h, -q = -5*h. Solve w*i - 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 2*y**3\/3 - 5. Let x(c) = -57 + 163 - 106 + 42*c. Calculate k(x(q)).\nAnswer: 3528*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {y: 3, d: 12, v: 1}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2091 - 1047 + 15*u - 1044. Let y(r) = r. Calculate -f(n) + 10*y(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*a - a. Let f be (5\/510)\/((-1)\/a). Let b = 239.3 - 239.2. Are b and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**17)\/y**8)**16 assuming y is positive.\nAnswer: y**(-352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -2 - -15) + -100 + 10 + (-8 - 7)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let i(j) = 4*j**2 + j + 2. Let c be i(n). Suppose -3*o - o = -c. Solve 3*v - o*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 3. Let b(z) = z**3 + z - 2. Let q be b(0). Let r(f) = -f + 2. Let j be r(q). Let m(n) = -2*n + 1. Determine j*v(y) - 11*m(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1191622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-11172)\/126882*-9*(-2)\/42\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 4 - (1 + -5 + 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**12*q*q\/(q\/(q**12\/q*q))*q)**(-7\/10)*((q*q**(-1\/3)*q)\/((q\/q**(11\/4))\/q))**(-2) assuming q is positive.\nAnswer: q**(-437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 - (-30 - 24\/(-3)). Let u = -818 - -820. Which is the smallest value? (a) 1\/3 (b) o (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/1 + 996\/4 + -3. Let i = 363 - t. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179.96 + 183. Let d = 0.04 - j. Let n = 12.8 - 12.5. Which is the second smallest value? (a) d (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*y**2 + 9\/2*y - 33\/8.\nAnswer: -3*(y - 11)*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 67, 132, 213, 304, 399, 492, 577?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 305*y + 6*y**2 - 5*y**2.\nAnswer: 2*y**2 - 305*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 5, 7, -2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 87 = 165. Suppose 3*c + c = a. Suppose 0 = -4*i + v + 7, -2*i - 3*v = -0*v - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 29. Let f(k) = -3*k + 37. Let h be f(8). Solve -2*x - q*a + 5*a - h = 0, 7 = -2*x + a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3778*i**4 + 14780*i**2 + 5645256 with respect to i.\nAnswer: 15112*i**3 + 29560*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from plgjmmjcgmppmlcm.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-16)*(-28)\/3. Let m = l + 13. Let j(h) = -h**2 + h + 5. Let n be j(0). Sort -4, n, m.\nAnswer: -4, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 12*a - 9. Determine d(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 33*f - 129. Calculate a(7).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 19*v**2 - 46*v + 50. What is the tens digit of l(23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 2*i + 1. Let l = -21 + 22. Let p be k(l). Solve m + 7 = -2*c, 0*m = p*c + 5*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 46. Let u(s) = s**2 + 3*s + 6. Let x be u(a). Let j be (-2)\/(-5)*(0 - -5). Solve -3*z = j*m - 6, -x*z = -z + m - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 623 = -571 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-15))\/(4\/(-30)). Let n = x - -21. Let d = n + -9. Let q(a) = -a**3 + a**2 - a + 5. Determine q(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + a03e37?\nAnswer: a03e31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -4*q + 4. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 2*u + 1. Suppose d + 0 = 2. Suppose -d*z = -4*t + 26, -2*z - z - 3*t = -6. Let w be g(z). Solve k + k = -w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.6468144 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1737)\/(-4246)*100\/45\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 5*n - 70, -11*v + 20*v + 0*v + 3*n = -0*v + 78 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w. Suppose -2*k + w*k = -4*z + 10, 4*k + 8 = 2*z. Let m(y) = -2 + 3*y + y**3 - 3*y**2 + 2 - 1. What is m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 88 = 62. What is the remainder when 30 is divided by 2*5*(-48)\/b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5217.7 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = -27*q + 16 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1707014 and 1032.\nAnswer: 20484168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 = 2*o + 1, -5*g = -3*o - 15. Solve 0 = -12*n + 14*n - g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11988652*b + 9267470.\nAnswer: 11988652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5461 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m\/(m*(m*m\/(m**(2\/5)*m))\/m)*m))*m)**(2\/69)\/(m\/(m*m**10*m*m*m*m*m)*m**(-10\/9)) assuming m is positive.\nAnswer: m**(16777\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304370971.\nAnswer: 304370971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -111. Which is the nearest to -3\/7? (a) l (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = h - 46, 4*t = -12. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 50928.\nAnswer: 509280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/7 - 785*n**2\/7 - 49349*n\/7 + 54795 = 0.\nAnswer: -65, 7, 843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 0 - (-14 - (-1 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 5*k - 10.\nAnswer: 5*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1162, 5, -2, -12 in increasing order.\nAnswer: -1162, -12, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 + 42*a + 5. Let u(q) = 29*q**2 + 83*q + 11. What is 9*o(s) - 4*u(s)?\nAnswer: s**2 + 46*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1105, -1104, -1103, -1102, -1101?\n\"Answer: l - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, 0.1, -20, 5, -2\/41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.17, -0.9, -0.4.\nAnswer: -9, -0.9, -0.4, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 4. Let g(n) = 16*n**3 + 11. Let r(y) = -6*g(y) + 17*h(y). What is the first derivative of r(q) wrt q?\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 times -200?\nAnswer: -120200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 15*q + 5. Let y be o(-12). Suppose 4*f - y = -9. What is the remainder when 20 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8243.\nAnswer: 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3685943 is divided by 370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16973842 - 9*i**3 - 16973842.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4376*s - 4369*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2074617*p + 2075311*p - 102018 for p.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093 less than 2093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) + -1*sqrt(114))*-6)\/(1*sqrt(60)\/sqrt(10) + sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102564\/17 + 91385510\/15147. Find the common denominator of -34\/33 and z.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.433093 months in decades?\nAnswer: 0.145275775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/190)\/(1\/((-8)\/6))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -318, -467?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-12) - -5*(-3)\/(-6). Which is the biggest value? (a) 0 (b) 2\/13 (c) -4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/9)*q)\/q)**(-2\/55)\/((q**(-19)\/q)\/q*q**35) assuming q is positive.\nAnswer: q**(-1388\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 52420.\nAnswer: -3\/26210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -83, 0, -2\/45, -4\/5, -5, -1.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 + 2 - (3 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = r - 102. Suppose r = a - 250. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.5 from -0.74.\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + x - 7. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.482 - -0.202. Let c = q - 0.72. Let j = 0.8 + -1. What is the closest to -1\/4 in -2\/7, j, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -44011*k. Let m(v) = v. What is a(m(j))?\nAnswer: -44011*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-10)\/7)\/(-19 + 21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 15. Suppose -4*f - r*i + 23 = 6, -3*i = -3. Let w(n) = -12*n + 10*n + f - 3*n**2 - 4. Give w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 57 = -318. Calculate the remainder when d is divided by (-4)\/10 + (-210)\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5370 and 2148?\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12920.\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42715 is divided by 1068.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m**5\/5 - 3176*m**4\/5 + 4706*m**3\/5 + 31088*m**2\/5 + 4008*m - 8352\/5 = 0.\nAnswer: -58, -3\/2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -162092619 divided by 480987?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*i - 162770 = 16803 + 390451. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4343571 is divided by 42?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**1\/b)\/b*b)\/(b*b*b**(-5))*(b**(-2))**(2\/81))\/((b**(-6\/11)\/b)\/(b**(-5)*b)*(b**(1\/3))**(2\/25)) assuming b is positive.\nAnswer: b**(32731\/22275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 27033704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -186*v + 181*v. Solve -c + 3 = j, 19*c - v*c = 4*j + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -30*g**3 + 2*g**2 + 9*g - 2. List the prime factors of n(-7).\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-6 + 1 - (-16 - -9)). Solve -9*k = -12*k - p*n - 2, 5*k - 18 = 2*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -4*s, -r + 6*s = 3*s - 10. Let l be 75\/(-20) - -4 - r\/4. Solve 3*d + d + 16 = l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2880)*-5)\/(sqrt(10) - (sqrt(360)\/sqrt(9) - sqrt(10)) - sqrt(10)).\nAnswer: -1 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 44022724.\nAnswer: 132068172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9233996 is divided by 4616994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + f. Let d(t) = 4*t**3 - t**2 - 2*t. Let n(w) = w**3 - w**2 - w - 1. Let i(y) = 2*d(y) - 2*n(y). Calculate -i(r) - 3*q(r).\nAnswer: -3*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 8*c - 7. Let n be x(-7). Let o = -155 + 483. Suppose -4*a + 180 + o = n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 6*z. Let j be w(-6). Do j and 5\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from qqdqydd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 1248*i**3 - 191*i**2 - 556*i**2 - 110*i**3 + 750 - 4*i**4 - 1127*i - 11*i**3 + i**4 = 0?\nAnswer: -1, 2\/3, 1, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - ((0 - 4) + (-8 - 11))) - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most 265134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -215637*v**2. Let j(o) = 31*o. Calculate j(r(g)).\nAnswer: -6684747*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - s - 11. Let g(p) = -p**2 - 12*p - 21. Let j be g(-9). Suppose -j*t - 43 - 5 = 0. List the prime factors of d(t).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46947 + -46946.08067. Let p = r + -0.92. What is p rounded to 5 decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 - 7*b - 1. Let h be l(-6). Suppose -4*p = -h*n - 43, -n - 19 - 12 = -4*p. Solve 2*j - i = p*j + 21, 11 = j + 4*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-336)\/(-36) + 4\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -52*a - 1. Let g be i(-3). Suppose -t - g = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -38. Suppose -5*m + 81 = v. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1.5, 6, -96?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 2, b: 2, t: 2, r: 1, l: 4}. What is prob of sequence zbt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 1203 + 5342 = 0. Let y = -533 + r. Calculate the lowest common multiple of 10 and y.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85808*i*w**3 - 46*i + 2*w**3 - 497249*w**2 wrt i.\nAnswer: 85808*w**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 134 + 20*i - 33*i - 32*i - 34*i + 81*i.\nAnswer: 2*i - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75736, -75720, -75680, -75604, -75480, -75296, -75040, -74700?\n\"Answer: 2*d**3 + 2*d - 75740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 59, 213, 513, 1007, 1743?\nAnswer: 2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-3)*180\/(-16). What is the tens digit of (-3606)\/w + (-10)\/75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 939, -5, -2, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - -27) + 27 + 82 + -82 + 0 + -83?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -450 + -76. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.09 - 1.09. Let s = 849.6 - 849. Which is the closest to g? (a) s (b) 1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 12*k**2 + 10*k + 10. Suppose -8*g = -g + 42. Let n be (13\/(-2))\/((-3)\/g). What is the units digit of y(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9943.561 + 9949. Let z = 0.039 - a. Let l = z + 9.4. What is the closest to l in 2, 1\/4, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17050252321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 1, q: 1, t: 1, z: 1, c: 2}. What is prob of picking 1 z, 1 b, 1 q, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 2873.3\nAnswer: 861.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1) + 2\/2. Let q be 1 + 16\/24 + 24\/(-9) + 3. Suppose t = -q*y + 10*y - 16. Do y and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*m - 4, 5*m = -3*j - 4 + 36. Solve -21*c - j = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/35 + -1\/7. Let m = 12 + -17. Which is the third smallest value? (a) m (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*-1 - 42\/(-12). Let q be 12\/((-9)\/g) - (-72)\/8. Factor 12\/7*w**3 + 0 + 8\/7*w**2 - 16\/7*w + 2\/7*w**q - 10\/7*w**4.\nAnswer: 2*w*(w - 2)**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 68 = -3. Is 148\/52 - 3 - (-16130)\/j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 24*d - 180. What is the highest common divisor of d and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.032459nm in micrometers?\nAnswer: 0.006032459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 629966085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(1*sqrt(6)*6 + sqrt(6)) + 0 + sqrt(30)\/(3*sqrt(384))*-4.\nAnswer: -sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/3)\/(340\/(-9690))*2\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Suppose o - 1 = 4*j + 12, -2 = 2*o - j. Let l(h) = 2*h - 2. Let x(k) = o*n(k) + l(k). What is the first derivative of x(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:08 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 13030?\nAnswer: -13044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2335 by 1.\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1008)\/(-1470)*5*(-252)\/270.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 a when two letters picked without replacement from {a: 7, p: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 + 182. Sort 6, b, 4 in decreasing order.\nAnswer: 6, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 5, -197.\nAnswer: -197, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -90\/45497 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165758 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1143 divide 2047704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3183429401?\nAnswer: 17, 31, 6040663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 5*y. Let w be v(5). Let o = 2457 - 2282. What is the greatest common factor of o and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2. Let i(p) = -24*p - 30. Let b(l) = 6*l + 8. Let z(w) = 15*b(w) + 4*i(w). Give z(y(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 - -0.2. Let w = 0.22 - -0.78. What is the second smallest value in w, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 171*n + 5 - 5 + 69*n + n**2 - 415*n to the form m*n + x + h*n**2 and give m.\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 81*x**2 - 756*x - 1013. What is i(70)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqq when three letters picked without replacement from {u: 6, q: 7}.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*x + 0*x = 14, 7 = 2*p + x. Suppose 0*y + p*y = s - 14, -5*s = 4*y - 70. Solve 4*g = -s + 2, -5*g - 5 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2429*p - 21284 = -1803*p for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 734222.9 millennia?\nAnswer: 8810674800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 at least 532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 79\/(-1) - (9 + (10 - 20)). Let u = -7 - -4. Is 0 + 0 + a\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/8 + h**3\/2 - h**2. Let q(v) = v - 1. Let k(p) = -18*q(p) - 5*y(p). Suppose -i + 2 = -0. Give k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -64. Let a = q - -179. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -1\/8*n**2 + 0*n + 0*n**3 + 1\/8*n**4 + 0*n**5 - 1\/24*n**6 + 25. Let h(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 7, i: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.031 and -360.\nAnswer: 11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 - 3*k. Let n(b) = -b. What is 2*n(g) + q(g)?\nAnswer: -g**3 - 2*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 + 206. What is the tens digit of (5 - (-11 + p))*542\/14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**30)**15\/(((q**44*q)\/q)\/q**(2\/9)) assuming q is positive.\nAnswer: q**(3791\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/91161784 and 81\/26046224?\nAnswer: 182323568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0099 - -0.2011. Let y = q + -198.211. Let h = 198.000093 + y. What is h rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1150 - 1152. Which is the smallest value? (a) k (b) -4 (c) 0.02 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)\/(2\/(-16)). What is the highest common factor of a and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 5, -6684, -0.2, 3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2671*k - 2672*k = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.845 - 81.345. Let u = -0.6 + 0.3. Which is the fourth biggest value? (a) u (b) x (c) -15 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-46 - 8) + -60 + 3 + 36?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*r**3 - 3*r + r + 2*r.\nAnswer: -246*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 79*q - 4. Let t(g) = 6*g. What is 6*s(p) - 78*t(p)?\nAnswer: 6*p - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 12*m**3 - 10*m + 2*m + 8*m to the form z*m + n*m**2 + j + q*m**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Let i = 143476\/27 + -5314. What is the nearest to -2\/3 in i, g, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bb - 43?\nAnswer: -fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 176 = -4*r, 0 + 4 = -2*r. Suppose -f - 2 = -18. Calculate the remainder when c is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27248935 * -0.5.\nAnswer: -13624467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j + 3. Let n = 13 + -10. List the prime factors of s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*i - 430 - 3010 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**8\/112 - c**6\/20 + c**4\/8 + 4*c**2. Factor x(k).\nAnswer: 3*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7*l + 9. Let y be a(-6). Suppose 4*s - 13 = 5*q, 4*s + y*q + 1 = 6. Let j(n) = -n**2 - 27*n + 62. Let t be j(-29). Solve -10 = -s*v - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8451821?\nAnswer: 7, 1207403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -8. Let t = -39 + q. Calculate the smallest common multiple of 20 and t.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22360 * -0.4.\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-60)*1\/(-8)*-6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l. Let z(q) = -q + 1. Suppose 0 = 2*f + 2 + 2. Give f*z(r) + s(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*v = -547*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 + (-154)\/42 + -1 + -6. What is the nearest to 0.2 in -2\/3, o, -0.5, 1\/27?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 73*h**3 + 4*h + 15 wrt h?\nAnswer: -24*h**2 + 438*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 2*x + 0*x - x - 2*x.\nAnswer: -x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let z = 1 + 1. Let g(x) = -2 + 2 - 12*x**z. Give g(p(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2909*f = 2919*f - 120. Suppose -3*s + 4*p + 17 = 0, 3*p - 16 = -p. Which is greater: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4257926 is divided by 877?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13236*z + 5087. Is x(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. Let n(o) = 0*o - 4*o + 0*o + d*o. Let z(y) be the third derivative of y**4\/6 - 4*y**2. Calculate z(n(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -988\/5 - -197. Let t = 6495 + -19228\/3. Let u = t - 85. Which is the biggest value? (a) g (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 98*t**4 + 798*t**3 - 702*t**2 = 0. What is t?\nAnswer: 0, 1, 9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -133*d + 823. Let k be m(6). Calculate the highest common factor of k and 1075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxmmxxmmmmmxmmm. What is prob of sequence mmm?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004592 rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 4)*(-1 - 2 + 4) + (-12 - 8 + 11)*(5 - 2 - 2) + 2 + 0 - 3)*(-4*s - 3*s + 4*s).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59584 - -59589.0894. What is l rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(3) + (sqrt(3) + 1)*-5.\nAnswer: -8*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 3.17. Sort u, -2, 1\/5 in descending order.\nAnswer: u, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-1968))\/(-1 + ((-25)\/(-15) - 1))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74052.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d - 10. Suppose 2*c - 5*x - d = 0, -3*x - 17 = 4*c + 12. Let f = c + 5. Solve f = -0*l + l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/35)\/((-2)\/(-10)). Let k = 3\/14 + x. Let p = 1\/6 - k. Is p bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2757605666696 and 2.4.\nAnswer: -2757605666693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 13*f**2 + 10*f - 23. Let n be y(-12). Let l be 1\/(-2)*(6 - 6). Solve l = i - 2*i - n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 5:46 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/7))\/o)**36)**(-2\/11) assuming o is positive.\nAnswer: o**(144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15)\/((k*k**4)\/k*k))\/((k**(2\/11)\/k*k)\/k*((k\/(k**(1\/4)\/k*k))\/k)\/k) assuming k is positive.\nAnswer: k**(-2023\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-7) - (-5)\/(-35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141576000 rounded to the nearest one million?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 9) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2322)\/(-2970) + 9\/(-15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/3 + 1\/3. Let n = -24 + 16. Let c be 124\/(-6)*12\/n. Solve c = 4*r + g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(1\/36))**(-41)\/((m\/(m*m\/(m\/m**(-1))))**(-2\/3))**(6\/5) assuming m is positive.\nAnswer: m**(349\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -0.052, 52?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 496 = u, 2*u = 3*u - 4*p - 491. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + z - 3*r, 4*z + 5*r = 10. Suppose -12 = -x - z*x. Calculate the remainder when 26 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 11500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 4\/7, 2, 11, 1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 206\/(-6) - 5\/(-15). Let c = 24 + k. Let f = c - -7. Sort f, -2\/5, 1 in increasing order.\nAnswer: f, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -b - 3*o, 4*o = 3*b - 14. Suppose -3*l = -w + 154245 - 646250, 328025 = b*l - 5*w. Round l to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)*((b*b**(-1\/4))\/b)\/b assuming b is positive.\nAnswer: b**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*o - 4*y = 217*o + 4, 16 = -o + 5*y for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 2:12 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 130\/(-21)*35\/((-2625)\/90)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 12 = 14*j - 13*j, -4*j = 5*h - 12. Calculate the remainder when 35 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 362\/9? (a) 2\/19 (b) -166 (c) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(((-40)\/25)\/4). Let j be 10 - (-1 - d)*-1. Calculate the greatest common divisor of j and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 18*u**2 - 16*u + 28. Let y be d(8). Suppose -2*c = -g + 306, -4*c = 4*g - 148 - y. List the prime factors of g.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-132))\/(((-2500)\/60)\/(-25)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 23252\/10493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 5, 2 in descending order.\nAnswer: 7, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 0.5, 0, 1\/137?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-206 - -232) + 3 + -30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*((i*i*i\/i**(-2\/11))\/i)\/i)**(-31) assuming i is positive.\nAnswer: i**(-465\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27677 by 3018.\nAnswer: -27677\/3018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-1*sqrt(300)*-5 - sqrt(300) - sqrt(300)) + 0 + -1 + 1)**2.\nAnswer: 960*sqrt(3) + 10864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 310\/7, 2.2, 12, -0.1, 0.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0 - 11*c + 0 + 0 - 10 - c**2. Let p(r) = r**3 - 11*r**2 - 13*r + 27. What is the remainder when p(12) is divided by t(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*o + 286*o + 14 = 571*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*q - 49 = -165*q - 1 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2777, -5553, -8329, -11105, -13881, -16657?\nAnswer: -19433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f)\/((f\/f**(1\/8)*f)\/f*f*f)*((f\/f**(-2\/17))\/f)\/f*f\/f**(1\/5) assuming f is positive.\nAnswer: f**(-5411\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 + 10452*c - 8933760 = 0. Calculate c.\nAnswer: 1504, 1980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 10*v - 18. Let k(b) = 2*b**2 + 24*b - 13. Let w be k(-12). Let l be d(w). What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 x, 1 m, and 1 e when four letters picked without replacement from elxeeemmellleexe?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 313, 395, 493, 613, 761?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1378, -11026, -37204, -88174, -172198, -297538, -472456?\n\"Answer: -1377*g**3 - 3*g**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3\/4, 1\/10, -31, 0.3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06 - -2242817985.\nAnswer: 2242817985.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(176) + -5 - (2 + 4 + sqrt(176) - sqrt(176)))*5*-4)**2.\nAnswer: -32000*sqrt(11) + 110400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 107 = d - 414, d + 4*k = 332. Calculate the lowest common multiple of d and 468.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 19*t**2 + 11. Let o(w) = 1. Let f(r) = j(r) + 6*o(r). Differentiate f(h) wrt h.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 5\/2, -0.2, -926, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63635, 63637, 63639?\nAnswer: 63641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**3 + 82 + 31\/120*o**6 + o**2 + 0*o**4 - 1\/20*o**5 + 0*o. Find the third derivative of i(d) wrt d.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2064, -2065, -2066, -2067?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*f + 2)*(-f**3 + 3*f - f**2 + 0*f - 4*f).\nAnswer: 2*f**4 + 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 230 (base 10) to base 3\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*r**6 - 20*a*r**2 + 138*r**4 + 11*r wrt r?\nAnswer: 360*a*r**3 + 3312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 - x + 1. Let r be l(5). Let t = 136 + r. Suppose 4*d = 4*p - 160, -5*p + t = -3*d + 5*d. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 6*h + 4158. Let i be 31\/11 - 42\/h. Solve -i*u - u - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*n - 7. Let t be 3 + n\/((-5)\/(-3)). Solve 2*u + u = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 + -209. Let r be -4 + s\/(-20)*(-465)\/6. Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*4888\nAnswer: 977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 5*c**7\/42 + 19*c**6\/6 + 63*c**5\/2 + 135*c**4 + 180*c**3 + 17*c + 1. Factor f(q).\nAnswer: 5*q*(q + 1)*(q + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-21 - -14) + 6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33817 - -0.9889. Let s = k - 0.65. Round s to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 10*u**2 - 2*u + 3*u. Suppose 4*x + 6 = 4*z + 2, -3*z - 5*x + 11 = 0. What is the units digit of q(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -10*o + 12*o. What is the first derivative of -1 + 8 - 15*r**3 + o - 21*r**3 wrt r?\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 2 - 2 + (-2 - 2 + 2)*(-1 - 1 + 0)*(-2 + 2 + s)*(22 - 8*s**2 - 22) - 4*s**3 + 6 - 6 to the form z + n*s + i*s**3 + q*s**2 and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0343*0.02\nAnswer: -0.000686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**2 - 5*u + 15. Let n be p(3). Suppose -2*a - 5*f + n = 0, 0 = 3*f - f - 4. Is 22 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v + 8\/3*v**3 + 1\/120*v**5 + 0*v**2 - 8 + 1\/24*v**4. Let d(p) be the third derivative of l(p). Determine d(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.3 - -2.3. Suppose 0 = -2*j - 3*m - 2*m + 135, -5*m - 60 = -j. Let i = j - 327\/5. What is the closest to t in -3, 1, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 7:22 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16293 - 16233. Solve k = h + 54 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2)*(2*r - 2*r**4 - 2*r) + (2*r**4 - 9*r**4 + r**4)*(-r + 4*r - 4*r).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3238 + -2970. Solve 3*z - o + 280 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j)**(5\/6) assuming j is positive.\nAnswer: j**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - r**2 - 13 - 5*r**4 + 4*r**4 - 9*r + 2*r in the form n*r + x*r**3 + q*r**2 + p + d*r**4 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 3. Let b be g(-1). Let z(w) = w**3 + 7*w**2 + 6*w + 2. Let a be z(b). Factor 3\/5*n**a - 6\/5*n + 0.\nAnswer: 3*n*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and 9140502568.\nAnswer: 9140502533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9495, -18987, -28457, -37893, -47283?\n\"Answer: 2*g**3 - g**2 - 9503*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 5*v**2 + 10. Let o be z(5). Suppose 0 = 4*y + o - 26. Suppose -4523732 = y*x + 19476268. What is x rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1352*j*u*y**2 + 78*j*u*y + 2*j*y**2 + 46241*u*y**2 - u*y - u + y**2 + 2 wrt j.\nAnswer: 1352*u*y**2 + 78*u*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*sqrt(170)*3)\/sqrt(10) + 3.\nAnswer: -15*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101076211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87523645?\nAnswer: 5, 11, 1591339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13346, -26669, -39992, -53315, -66638?\nAnswer: -79961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, -28, -0.1, -33, -16, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 8:15 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.2. Let t = -5.1 + 5. Sort a, t, 2.\nAnswer: t, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -9*l = -7*l - 6. Find v, given that v**l + 4*v**3 - 4*v**t - 4*v**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-2)\/2) + 2. Suppose -2*u = -x*a - 24, -u = a + 3*a - 12. Solve -p - u = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25637028?\nAnswer: 2, 3, 2136419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/11 + 160170*h**3\/11 + 3206082742*h**2\/11 - 28866438258*h\/11 + 25660195344\/11 = 0. Calculate h.\nAnswer: -40047, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(-9*9\/(-540)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let x(g) = -10*g + 16. What is -18*n(a) + 2*x(a)?\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/294791792 and 13\/11.\nAnswer: 3242709712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p + 6*p - 4*p - p**4 + (p**3 + 4*p**3 - 4*p**3)*(1 - 1 - 2*p).\nAnswer: -3*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1444)\/57)\/(2\/9). Let u be ((-6)\/(-4)*1)\/(33\/2266). Let r = u + c. Are r and -11 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) - 18\/14. Let y be (-1 - -3) + (-3)\/(2 + -1). Is b greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*g + 4 + 249*g - 4.\nAnswer: 172*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/(-12)*(-9)\/3. Let j(z) = z**2 + 3*z - 2. Let b be j(-4). Calculate the remainder when 25 is divided by (1 + b)*g\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72708542 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1273, 2648, 4029, 5416, 6809, 8208, 9613?\nAnswer: 11024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4617 = -4*j - l + 4629, -3*j = 2*l + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147223?\nAnswer: 7, 11, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.3 (c) 5 (d) -470\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.36, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-6)\/3*1. Suppose 0 = b + a*b. Suppose w - 3*o - 8 = b, 2*w = o + 2*o + 10. Solve -8 = -2*c - w*r, 2*r - 8 = 8*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1401279.569 to the nearest one thousand.\nAnswer: -1401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 6*j**2 - 8*j - 5. Let v be y(-7). Let w(c) = -16*c - 192. Let z be w(-12). Suppose v*s + s - 399 = z. List the prime factors of s.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x**4 + 65*x**3 - 95*x**2 + 55*x - 10 = 0 for x.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35208199 by -13.\nAnswer: 2708323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 q when four letters picked without replacement from quqquuuuuququu.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (-4*sqrt(432) + sqrt(432))*1)\/(4*sqrt(9)*-6)*-4)**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30710 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0. Suppose 0*u + 5*u + 20 = 0. Which is the nearest to -0.2? (a) u (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Let l = 11 + -9. What is the first derivative of 1 - 2*d - d**z + l*d wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 8*y - 440. Let q = y - 34. Suppose -4*x + 5587 = -q*p, 2*x - 6*p - 2786 = -2*p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 4. Let q(z) be the second derivative of -z**3 - 5*z**2\/2 + 3*z + 130. What is -5*a(d) + 6*q(d)?\nAnswer: -d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/8 + (-19)\/(-4). Let h(g) be the first derivative of 18 + 2\/3*g**3 + 9\/2*g**2 + 8*g. Let i(x) = -x**2 - 4*x - 4. Give u*h(c) + 9*i(c).\nAnswer: -c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41276830963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(3*q - 2*q**2 - 3*q)*(-8*q + 2*q + 2*q) + (2*q + 2 - 2)*(3*q**2 + q**2 - 2*q**2).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/656556 and -83\/328278.\nAnswer: 656556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -16*s + 7. What are the prime factors of t(-4)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 - 2*a**2 + 15 + 3 + 6*a**3 - 9*a**3 in the form h*a**2 + p*a + t + i*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 7*v - 2. Let o be c(-4). Let r(a) = 3*a - 3 + a - a**3 - 28*a**2 + 26*a**o. Calculate r(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -114230232130?\nAnswer: 114230232131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645) + sqrt(3645) + -1 + sqrt(3645) + sqrt(3645))*2)**2 + (sqrt(270)\/(sqrt(18)\/sqrt(75)))**2.\nAnswer: -864*sqrt(5) + 234409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 412, 416, 420, 424?\n\"Answer: 4*y + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3052 - -4700. Let d = t + -4261. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 9:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 11*o + 11. Let s(l) = -3*l**2 + 8*l - 7. Let p(r) = 5*q(r) + 8*s(r). Let i(a) = -10*a - 111. Let h be i(-10). Determine p(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -33)*(-22 + 21). Suppose m - 210 = d, -2*m - t = -5*d - 443. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117))**2 + 5*sqrt(26)\/sqrt(2).\nAnswer: 5*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a second in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 5*n + 2*f + 22, 5*n = -4*f - 8. Let k = 127\/8 + -16. What is the second biggest value in n, k, -5, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 + 8*c**2 - 2. Let o be n(-6). Let r = o + 264. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/21416 and -32\/5.\nAnswer: 107080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 45 = -5*w, 0 = 3*w + 12*f - 9*f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88621b (base 16) in base 2?\nAnswer: -100010000110001000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (0 + -1*sqrt(2))**2 + -2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*b + 96, 4*q = -2 + 18. Let l = 84 + -39. Let j = l + b. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930, 1503, 2066, 2613, 3138, 3635?\nAnswer: 4098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/150 and 3\/1450.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 31) + -35 + 21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50? (a) -3 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -945*h - 11. Give y(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-1550)\/(-6) + 9 + 150\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 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: (0\/(24\/(-8)))\/(0 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*4 + -1 + 3*(sqrt(136)\/sqrt(8))**2 - ((sqrt(187)*-4 + sqrt(187))\/sqrt(11) - sqrt(68)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: -222 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/12 - p**3\/3 - 2*p**2. Let a be q(2). Suppose -9 = -3*r + a*y + 7, 0 = r - 5*y - 27. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxxffxeffexefxfxf. Give prob of picking 1 x, 1 e, and 1 f.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 10, q: 2}. Give prob of picking 1 y, 1 q, and 1 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + v + 5*v + 8*v as w + y*v and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 90*w - 45 - 9*w - 49 - 59*w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.3 - -18. Let k = y - 3.7. Let s = 4.5 + k. Sort 3\/8, s, 1.\nAnswer: s, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1484088410 divided by 5.\nAnswer: 296817682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - v**2 + v + 1. Let w(q) = -6*q**3 + 13*q**2 - 3*q - 10. Let z(b) = 5*s(b) + w(b). Let g = 195 + -187. Give z(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 680062*g*j**2*w**2 + 3*g*j**2*w - 171083*g*j**2 - 8*g + 280*j**2*w**2 - j**2*w - 13*j wrt w?\nAnswer: 1360124*g*j**2 + 560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58841.674 rounded to the nearest 10?\nAnswer: 58840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 + 16*j**2 + 196*j**2 + (0 + 0 - 2*j)*(2*j - 4*j + 4*j) in the form n + m*j + l*j**2 and give l.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 922408 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -21 (b) 86.53 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - d**2)*(-4*d - d + 2*d)*(27 - 2 - 3).\nAnswer: 66*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((744\/(-28))\/31)\/(318\/(-212)*2\/(-126)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f**2 - 29*f**2 - 31*f**2 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9542750 - -13.2.\nAnswer: 9542763.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1349*w**4 + w - 592 wrt w?\nAnswer: -16188*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 4\/(46\/10 + -5). Let w be ((7\/(-6))\/o)\/((-2)\/(-249)). Is -22 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1430427726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*l**3*z - 19*b**2*l*z + 2*b**2*l + 2*b*z + 3035*l**3 - 44*l*z wrt l.\nAnswer: 12*b**2*l*z + 18210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7 = -4. Solve -v = 3*m + v + 17, -u*m = -3*v + 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + ((-2)\/(-7) - 91968\/(-42)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 596661 and 12246.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5911.976882 + 5912. Round y to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 15) to base 13\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5736 + 5741. Which is the smallest value? (a) -3 (b) -16 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602 and 774?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/5 - m**3 + 3*m**2\/5 + 17*m\/5 + 2 = 0. What is m?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 10. Let f be v(7). Let c be 51 + -1 + -2 + 2. Suppose f*m = -m + c. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263 divided by 55?\nAnswer: 2263\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*b = 20, -3*g + 0*g - 3*b = -66. Suppose 20*d = 11*d + g. Let a(z) = -2098 - d*z + 2098. Let p(x) = -4*x**2 + 5*x. Determine a(p(v)).\nAnswer: 8*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 12*t + t**3 - 8*t**2 + 5 - 5*t**2. Let j be h(-12). Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 - -230. Let g = 346 - a. Calculate the greatest common divisor of g and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230 - 190. What is the lowest common multiple of 22 and o?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7409376 and 45.\nAnswer: 37046880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + u = -4 - 0, -4*u - 16 = 0. Suppose z + 5*o - 7 = 0, 3*o + q*o = -2*z + 42. Let p = z - -56. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7407*h + 4517*h + 2888*h - 18.\nAnswer: -2*h - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccuuccucccuuc. Give prob of sequence ccu.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-4))\/((-9)\/(-24))*-2?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 2, r: 2, l: 3, p: 1, h: 2, a: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - j + 431 + 79 = -0*j + 134 - 278, 3*j + 12 = 0 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 1. Let z = 1 - -1. Suppose -4*i + 16 = 4*b, i + i + b - 5 = 0. Suppose 3*m - z = i. Determine k(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + u - 2*u. Let i(b) = 73*b - b**2 - 73*b. Give i(m(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 17 - 95 = -5*d, 2*n = 2*d - 30. Calculate the lowest common multiple of 76 and d.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 32*m - 48 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*h + 7, 3*h - 17 = 3*n + h. Let g = n + 12. Find l such that 1\/3 - 2\/3*l**2 + 0*l + 0*l**g + 1\/3*l**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1591255558 or -1591255557?\nAnswer: -1591255558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*f - 29 = 6, f = 5. Let z be ((-1)\/(-3))\/(3\/27). Let g be 2\/5 + ((-4928)\/35)\/(-8). Solve -a*c + z = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34687 (base 10) to base 12\nAnswer: -180a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1007039, -2013848, -3020657, -4027466?\nAnswer: -5034275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**3 + 16*o**2 + 27*o + 15. Let g(a) = -5*a**3 - 8*a**2 - 13*a - 7. Let h(z) = 7*g(z) + 3*k(z). Factor h(p).\nAnswer: -2*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 4. Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 27*d. What is h(2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 + p**2 - p. Let d be h(1). Calculate the remainder when (d\/10)\/(3\/165) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316703 or 316702?\nAnswer: 316702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 11*t + 17*t + 12*t + 2160 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**9\/15120 + g**7\/2520 - g**4\/3 + g**2. Let m(f) be the second derivative of x(f). Find the third derivative of m(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 + 5 + -13)) + 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -3997.\nAnswer: 1199.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/1638 and -73\/4841784?\nAnswer: 440602344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.25 and -0.05.\nAnswer: 0.6625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 1:58 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391170.19 rounded to the nearest ten thousand?\nAnswer: 3390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8\/o)\/o*o)**17\/(o\/o**5)**(-16) assuming o is positive.\nAnswer: o**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.98756960004525596 - -9277756373.01240649995474404. Let g = -9277755802 + f. Let c = g + -573. What is c rounded to six dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.386 times 0.029\nAnswer: 0.011194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 + 2*o - 7. Let w be k(6). Determine a, given that -5*a**3 - w + 29*a**2 + 20*a + 30 + 6*a**2 - 75*a = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18908 times 0.5\nAnswer: 0.09454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14616269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 1 e when three letters picked without replacement from eawaaajwaraaaararg?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20060 + -11894. What are the prime factors of x?\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvkkvvkvvkkkk. What is prob of picking 1 k and 3 v?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (92\/8)\/(1\/(-60)). Let z = 985 + m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -514, -1024, -1534, -2044, -2554, -3064?\nAnswer: -3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 + -5?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -267 - -389. Find the second derivative of -247 - 24*p + 49*p**3 + l + 125 wrt p.\nAnswer: 294*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 15*w - 28. Give m(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -11. Let o(q) = -q**2 - 4*q - 4*q + 1 + 6*q. What is o(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let y(a) = -a - 1. Let q(u) = u**2 - u - 3. Let f be q(3). Let d(s) = f*y(s) + z(s). List the prime factors of d(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3*(-3)\/6). Suppose l = -t*l. Is (-2 + l)*(-118)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2591, -10440, -23529, -41864, -65451, -94296, -128405, -167784?\n\"Answer: -b**3 - 2614*b**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*x + 1483 + 813, 2*l = -2*x + 1140. Let a = 1351 - l. Calculate the remainder when a is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v)**(3\/14)*(v**10\/v*v)**(5\/7) assuming v is positive.\nAnswer: v**(479\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-2))\/((-96)\/128). Solve 0 = -c*r - 20 - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 26*k**2 + 7*k - 796. Let y be n(25). Solve -6 = 3*i + 4*z, 7*i - 11*i + 20 = -y*z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -89*l**3 - 68*l**2 - 3*l - 19. Give f(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 105. Let c be f(-35). Let h = 4266241 + -1866241. Suppose -4*s + h = -c*s. Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 0 - -4 - -1996. Suppose -5*a + t = 2*o, a + 4*o = 5*a - 1628. Suppose a = 2*v - 3328. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8))\/((-1197)\/(-72)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 3203892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.483152 rounded to 3 dps?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 208455.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015721 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11))**2 + 4 + -5.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8230850 + -5?\nAnswer: 8230844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 + 7*c**3\/3 - 3*c**2\/2 - 8*c + 2. Let x be (-1 + 1 - 0)\/2. Suppose x = -4*y + 7*y - 18. What is k(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 2, w: 8, z: 5}. Give prob of picking 1 z and 2 w.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 4*a**2 - 3*a + 1. Let w be (1 + (-155)\/7)\/(6\/(-21)). Let x = w - 77. What is m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 567 and 1323?\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -3)*5\/25)\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(455\/(-14))\/13 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13.4 * 14.2\nAnswer: 190.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9 + 0.1. Let d = 2 - 8. Let f = 2 + d. Sort 5, f, a in ascending order.\nAnswer: f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792863173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/7)*(s**24*s)\/s)\/((s*s**(1\/20))\/s**(-3)))**(-1\/4) assuming s is positive.\nAnswer: s**(-2853\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 + 28 = 0. Let c = z - -5. Let d = -6 - c. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/7 + 2\/21. Which is the nearest to o? (a) -0.4 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13302384 is divided by 4383?\nAnswer: 4362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 12\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*g = -6, -4*h = -6*h + 2*g + 6. Let d(s) = -2*s**2 - s + 1. Determine d(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:04 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 23. Let w(n) be the second derivative of n**5\/20 - n**4\/3 - 7*n**3\/6 - 4*n**2 + 2*n. Let t be w(6). What is the highest common factor of t and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**14\/r)\/(r*r**(2\/9)*r) assuming r is positive.\nAnswer: r**(106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 6. Suppose -w = 4*b - 22, -p*w - 5*b + 52 = -w. What is the least common multiple of ((-36)\/22)\/(7\/(-77)) and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 2:18 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.1. Let m = 4.176 + -4.576. Let r = -17 - 4. Put g, r, m in ascending order.\nAnswer: r, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2492, 2470, 2440, 2402, 2356, 2302?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -91*n - 13 + 72*n - 39 + n**2. Let u be m(22). Find the common denominator of 48\/5 and 1\/u*832\/39.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342111 - 1042?\nAnswer: 341025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, w: 6}. Give prob of sequence ww.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 183 - 76 - 1453*w - 54 - 54 - 1147*w as m + a*w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5579, -11161, -16743, -22325, -27907?\nAnswer: -33489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0311 minus 1383?\nAnswer: -1383.0311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.03 and 84.\nAnswer: -170.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/7 + 450*a\/7 + 452\/7 = 0. What is a?\nAnswer: -1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/32*(-13 - (-23 + 12)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*-0.6.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + 4. Let i be 12\/(-15)*(-5)\/2. Let u(n) = 3*n - 2. Determine i*o(d) + 5*u(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 - 24 - (-365 - -339)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 17*v + 9. Let m(b) = b - 5. Let z be m(-8). Is i(z) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 - 453. Let j be (1\/4)\/(6 + 1555\/r). Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077389166 rounded to 5 dps?\nAnswer: 0.00774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a meter in millimeters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -21. Suppose -14 = -5*q + o, 4*q + 12 = 4*n. Solve 3*d + 9*d**2 + d - 7*d**2 - n = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/(-99) + 4 + 31\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/99320 and -73\/19100.\nAnswer: 496600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 16823673?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 3*i**3 - 6*i**3)*(0*i - i**2 + 0*i)*(-14 - 315 - 871).\nAnswer: 1200*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 653 + 123. Calculate the remainder when 2322 is divided by x.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -116325?\nAnswer: -116322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*f**2 - 53*f + 53*f - 96*f**2.\nAnswer: -163*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11055 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4*w**2 - 15*q**4*w + 2*q**2*w**2 + 2*q**2 + q*w**2 wrt q?\nAnswer: -72*q*w**2 - 360*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -17, -38, -79, -146, -245, -382?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.379841l in millilitres?\nAnswer: 379.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c99 (base 15) to base 7.\nAnswer: -11202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x - 8. What is the remainder when 307 is divided by k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-16) - (-12)\/96. Calculate the remainder when (t - 1)*-83 + (14 - 14) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 15. Is 64 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16962, -66477, -148550, -263181?\n\"Answer: -16279*c**2 - 678*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 1. Let x be h(5). Let i be (-40)\/5*2\/x. Suppose -83 - 65 = -i*m. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*v, 3*h - 8*h = 2*v - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/2 + 2*3\/(-6). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 - 1393.\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 2}. What is prob of sequence gnng?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.41 and 3.2.\nAnswer: 1.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233088577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/4)*v)\/(v\/(v\/v**(-3\/4))))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1100.2 + -34.8. Let b = -1151.33 - l. What is b rounded to one dp?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/2)\/((-7)\/14). Let k be -6*(r\/(-6))\/5. Suppose 6 + 15 = k*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98831.92 decades to months.\nAnswer: 11859830.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b - 2 = -d + 11, 3*b - 2*d = 5*b - 26 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -1576 (c) -3\/4 (d) 0.1 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -20, 55*a - 2*w = 51*a + 16372. List the prime factors of a.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwlq when four letters picked without replacement from {r: 2, l: 2, y: 7, d: 4, w: 2, q: 2}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o. Let n(i) = -i - 2. Let p(y) = 10*y + 5. Let r(s) = 5*n(s) + p(s). Determine r(k(g)).\nAnswer: 15*g - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 917?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6) + 1\/(-3). Suppose 2*a - v*a = -20. Suppose 2*m = -a, 5 + 8 = 4*o + 3*m. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b + 12 = 3*m, 5*m = 5*b + 100. Suppose -3*i + 384 = -0*i. What is the smallest common multiple of i and m?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m + 38*m + 34*m - 119*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -11315, 2, 0, -3, -7.\nAnswer: -11315, -7, -3, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.027 (c) -2 (d) -2\/5 (e) -24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79169, -79110, -78995, -78818, -78573, -78254?\n\"Answer: t**3 + 22*t**2 - 14*t - 79178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1974860908.\nAnswer: 2, 29, 107, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 2, 1, 0, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2392 take away 127441?\nAnswer: -129833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-179469)\/(-207))\/(-51))\/((-6)\/(-2))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y - 19*y**2 - 5*y + 12*y**2 - 264 + 7*y**2 + 3*y**2.\nAnswer: 3*(y - 11)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*t**2 + 249*t**2 + 55*t**3 - 1 - 125*t**2 + 77*t**3.\nAnswer: 132*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8441 + 5?\nAnswer: 8446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/13667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 - 7 = 0. Suppose p*q = 6 + 19. Suppose 2*v - q*n = 6*v - 195, -3*n = -4*v + 203. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + a - 2. Let v be c(3). Let j = v - -21. Is 4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 35*p**3 - 8*p**2 - 11*p - 2. Let v be l(-4). Let s = v + 3303. Suppose -s = -7*q - 172. What is the remainder when q is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 7*m**4\/6 - 6*m + 7. Let z(t) = 2*t**2. What is z(k(r))?\nAnswer: 392*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**6\/150 - 33*b**5\/50 - 124*b**4\/15 - 181*b**3\/5 - 657*b**2\/10 - 2770*b. Let n(d) = 0. Calculate d.\nAnswer: -3, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32433 + -1433021?\nAnswer: -1400033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(-3\/5))\/l))**(13\/5)\/(l\/(l**(-1\/28)\/l))**(5\/2) assuming l is positive.\nAnswer: l**(-5669\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -580005.8 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1203462 by 16263.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 34 = -5*s, -3*k = 5*s - 2*k + 22. Put s, -4, 12 in descending order.\nAnswer: 12, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*(3375\/(-630))\/(-75)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 96. Put 0, i, 1 in decreasing order.\nAnswer: i, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205\/5 + 171\/18*-2 + 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 3*p - 5. Determine d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 4 + b**2 + 11 - 2*b - 3*b. Let f be m(5). What is the second derivative of -3*v**2 + v + 8*v**2 + v**f + 8*v wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -740 - -3738. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52883729 to the nearest integer?\nAnswer: 7272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-2 + 6 - 2) - 2 + 6 + 8)*(k**3 + 4*k**3 - 20*k**3)*(-1 - 3 + 2).\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 3, d: 3, v: 3, a: 5}. Give prob of sequence ww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w + 6. Let m be y(-6). Is 0.1 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.5719691 and -8.\nAnswer: -11.5719691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllqqqlfllqlll. Give prob of picking 1 q and 1 l.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3063 - -4834?\nAnswer: 7897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (-4 + (sqrt(1100) - (sqrt(1100) + (2 + sqrt(1100))*-3)))**2)*4.\nAnswer: 480*sqrt(11) + 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/5 - 433683*l**2\/5 - 26443314*l\/5 + 5375400 = 0?\nAnswer: -144500, -62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392.27 - -394. Let f = q - -12.27. What is the closest to f in 3, 0.2, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201994216.\nAnswer: 2, 71, 2116187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5 + 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (101245\/(-4))\/(19\/(608\/(-40))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/8)*c)\/c*c*c*c**(-6))\/(c**(-1)*(c*c**(-1))\/c*c) assuming c is positive.\nAnswer: c**(-25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 8*r**3 + 4*r**2 - 8*r - 6 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 53*x = -15*x. Let 0*n**3 + x - 5\/2*n**2 + 5\/2*n**4 + 0*n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628*c = 603*c + 26389 + 7105 + 29031 for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 131. Find the third derivative of 21*y + 7*y**h + y**5 - 59*y + 125*y**2 + 38*y wrt y.\nAnswer: 60*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 19997058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32219998 divided by 6\nAnswer: 16109999\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*(-55)\/(-110)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 320.055076957 + -6.7.\nAnswer: 313.355076957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/792550 and 109\/1936.\nAnswer: 6340400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 430. Suppose i = 4*j + 4*s, 4*j - 6*j = -2*s - 62. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1914 and 107890904.\nAnswer: 323672712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25578 and 2358?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 22*g = -0*l - 49 - 83, -45 = 193*l - 196*l - 5*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16 - 1 + 6*m - 2*m - m**2 + 10*m. Let i be a(15). Solve -2*d + i*d = -3*b - 9, 5*d = 3*b + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1867944 and 121\/300?\nAnswer: 46698600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*y - 568*y**2 + 1152*y**2 - 561*y**2)*(-5*y + 0*y + 2*y).\nAnswer: -69*y**3 - 441*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231323 + 100023?\nAnswer: -131300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 10*w + 2. Let l be y(0). Solve -l*j = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -2\/7, -4, -15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -33*p + 62*p - 2 - 34*p. Give w(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, v: 8, e: 2, d: 1}. What is prob of picking 4 p?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z - 5*z - 8*z - 16*z.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 5602\/1213?\nAnswer: 5602\/1213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136)*-3*-1)\/((sqrt(8) - 2*sqrt(32)\/sqrt(4)) + (sqrt(200) - -1*sqrt(200))).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 28 + -35 - -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47447659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/21*(-9)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (5 - 4)) + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*m + 5 = 334*m. Let i = -2 + 2. Suppose i*v + 10 = -5*v. Sort v, -3, m in descending order.\nAnswer: m, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 35 + -21 + -9 + 4 + -66\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -18. Let l be 1 - (1 + -2 - 0). Solve -l*u - s = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 + 19*z**2 + 19. Let v(c) = -5*c**3 - 29*c**2 - 29. Let p(m) = 8*r(m) + 5*v(m). Calculate the remainder when p(7) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -t, -40 = -5*t - 8*o + 3*o. Let y(f) = -8*f + 10. Determine y(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*2*63*(-14)\/(-98).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20332011313 (base 4) in base 5?\nAnswer: 1100221404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58.7934 - -236.\nAnswer: 177.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 16) to base 7.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 18. Let p = -7 + c. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*l**2)*(0*l - 5*l + 2*l)*(527 - 527 - 29*l**2).\nAnswer: 261*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 62 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 23*n - 237. Calculate x(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 24. Find the second derivative of o + 4*o - 3*o - k*o - 5*o**4 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/30 and 63\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 10*r + 17. What is the remainder when 92 is divided by t(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/32 + 5*o**3\/24 - o**2\/16 - 5*o\/8 + 17. Factor r(c).\nAnswer: (c - 1)*(c + 1)*(c + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52834671, -52834670, -52834669, -52834668?\nAnswer: -52834667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s - 5 - s - s + 0*s with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**3\/3 - u**2 - u - 1. Let k = -43 + 64. Let p be (-9)\/k - (-8)\/(-14). Give l(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509341527635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/34 and -54\/696167?\nAnswer: 1392334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -40. Suppose 5*s = -y - 15 - 8, 5*s + 5*y + b = 0. Put s, 2, -3 in descending order.\nAnswer: 2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -265 + 339. What is the greatest common factor of 185 and q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12864312863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1940*u**2 - 3*u + 83. Is 213 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169485 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-27) - 6\/(-27). Suppose s = 8*v - 3*v - 55. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -76614, -613396, -2070504, -4908102, -9586354?\n\"Answer: -76694*q**3 + q**2 + 73*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/49 or 1?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 122?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 6*q**2 + 3*q + 8. Let b be j(-5). Let g(k) = -k - 65. Let o(w) = 66. Let f(x) = -4*g(x) - 3*o(x). What are the prime factors of f(b)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdpzzzzkhtz. What is prob of picking 1 z, 1 t, and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b30 (base 14) to base 6.\nAnswer: 1014050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 19. Suppose 0 = 5*a + 2*w - g, -2*w - 23 = -a - 3. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 90 + 68 - 132*r**3 + 135*r**3 + 92 - 334.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-308))\/((-41)\/(14637\/34)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100949?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 27*h**4 + 111*h**3 - 810*h**2 - 2496*h + 3168 = 0.\nAnswer: -6, -4, 1, 44\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c - 37. Suppose 5*s + 0*s - 5 = -3*k, -35 = 3*k - 5*s. Let a be i(k). Solve -a*d = 2*d - p - 25, 2 = -2*d - 2*p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnttccntnnnn. Give prob of sequence ntc.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391536?\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 1. Let q = 22 + -21. Calculate i(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118, -242, -368, -496?\n\"Answer: -a**2 - 121*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 202\/(-4)*(-57 - -61). Which is smaller: y or -1016\/5?\nAnswer: -1016\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftt when three letters picked without replacement from {f: 3, t: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2988 and -35\/12.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 1:20 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**2 + 0 - 23\/30*q**6 + 11*q + 0*q**5 + 0*q**3 + 1\/6*q**4. Find the third derivative of b(g) wrt g.\nAnswer: -552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000465 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 214210 (base 6) to base 2\nAnswer: 100010101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150576.\nAnswer: 2, 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (589\/62)\/(1\/4*-1). Let f(q) = q**3 + 40*q**2 + 60*q - 53. What are the prime factors of f(d)?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788*j = -1790*j + 3416. List the prime factors of j.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0*z**3 + 0 - 1\/12*z**4 + 5*z + 0*z**2. Suppose -h - 3*b + 2*b - 3 = 0, -2*b - 3 = -h. Calculate f(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*h - 7, -2*h = -50*n + 47*n - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 1, n: 1, k: 2, i: 5}. What is prob of picking 1 p, 1 k, and 1 o?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15050674 is divided by 385.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:18 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -56. Solve v + q = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21301*k**5 - 12*k**4 - 7*k**2 - 968214*k.\nAnswer: 426020*k**3 - 144*k**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 1163.\nAnswer: -9\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20916 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**23*t*(t\/(t\/((t*t**21*t)\/t*t)))\/t)\/(t\/(t\/(t\/t**6)))**(17\/5))**(-2\/79) assuming t is positive.\nAnswer: t**(-126\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 14, 254165 in increasing order.\nAnswer: -2, 4, 14, 254165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*i + 85 - 310 = 0, 135 = 3*d + 3*i. Let r = d + 3. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = 6*d - 11*d, -4*t - d - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -47*d + 21*d + 38*d. Let s(a) = -3*a**2. What is m(s(x))?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 56*v + 4396. Calculate r(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + 0.87. Let z = -34 - -33. Let w = -118 - -1064\/9. Which is the closest to w? (a) z (b) p (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205318 by 205318.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n**2 - 2*n + 1. Let y be b(-2). Let t(p) = 4 - p**3 - y - 7*p**2 + 0 - p - 4. Calculate the smallest common multiple of 9 and t(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 664616 to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2443131 (base 5) to base 3\nAnswer: 2101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 4*l - 16*n, 4*l = n. Let y(r) = -r**2 + 6*r - 3. Let w be y(2). Suppose -20 + w = -5*f. Solve f + l = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, s: 2, b: 3}. What is prob of sequence sbs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*r + 9634452 + 5805558, 0 = 4*r + 4*p + 15440008. Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 442 + 8 = 0. Let w = -200 + z. Solve w = -s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122973035 + 5?\nAnswer: 122973040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**4)\/u)**(-2\/59)*(u\/(u*u**(-14)\/u))\/((u*u**(-10))\/u) assuming u is positive.\nAnswer: u**(1467\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 220993545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -173088.\nAnswer: 1\/4808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u + 84. Let w be l(10). Let t = -3 - -5. Which is the nearest to t? (a) 1 (b) 0.06 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -351\/2 in -4, 1.47, -1, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3794225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1202*u**2 - 28*u - 3. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 100?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (3 - -2) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40390001861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 100 = -4*a - 2*p, -2*a = -2*p - 40. Calculate the remainder when -1*(0 + 1)*(-1 - 44) is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 53 = 3*b, 0 = 16*a - 14*a - 2*b - 24. Solve 0 = -8*o + a - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t*t*t)**23)**(-46) assuming t is positive.\nAnswer: t**(-9522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 19*n**2 - 15*n - 42. Give o(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/39 + (-270)\/(-65). Let i be 0 - (-1 - (1 + -2)). Suppose -3*s + 6 = -i*s. Solve 9 - 29 = -s*h - r*u, -2*h + 5 = u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8112316 meters to nanometers.\nAnswer: 811231600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + sqrt(700) + sqrt(700)*3))**2 + (((sqrt(700) + 0 + sqrt(700) + sqrt(700))*3)**2 - (sqrt(700) - (sqrt(700) - -3*2*sqrt(700))**2)).\nAnswer: 7990*sqrt(7) + 371400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0069 bigger than 546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 0.1510232\nAnswer: -0.09061392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 229245 >= 229246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d**3 - d**2 + 4*d - 2. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3 - 0. Suppose z*i - 2 = 4. Find the second derivative of -6*c + 3*c**4 - c + 3*c - i*c**4 wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 0 + sqrt(75))*-3 - (sqrt(75) + (sqrt(75)*-2)**2 + 3).\nAnswer: -303 - 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4139360 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)\/h*h)\/((h\/((h\/(h**4*h*h))\/h))\/h*h))**25*(h**(-1)\/h**5)**(-5\/11) assuming h is positive.\nAnswer: h**(-1950\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3365 is divided by 831.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 170*l**3 - 2520*l**2 - 10720*l - 14720.\nAnswer: 5*(l - 46)*(l + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 5*h + 11. Let f be r(5). Suppose -f - 1 = -4*z. Suppose 4*m = -m + 20. Solve -5*o + m = -z*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 6*r + 16 + 13 + 8 + 8.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*a = 12, 2*t + 14 = 4*a - 8*a. Let l = 332 + 4. Suppose l*r + 20 = 340*r. Sort r, t, -5, -4 in decreasing order.\nAnswer: r, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111 - -125. Let k(b) = -b**3 + 16*b**2 - 14*b - 31. What is the tens digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 9)*(4 - 3 + 1)*(6 - 1 - 3)*(2*l**3 + 2*l**3 + 5*l**3).\nAnswer: 648*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 6*r. Let z(g) = 5*g**2 - 24*g**2 - 5*g + 3*g**2 + 11*g**2. Let l be 3\/42*-74 + (-74)\/(-259). Calculate l*k(t) - 6*z(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 1\/5, 2\/5, 2, -0.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -2\/7, -1\/2, -1, 110, -8.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282626.\nAnswer: 2, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 13838 = s. Let v(o) = o**3 + 4*o**2 + 5*o + 5. Let b be v(-2). Suppose -b*m - q = -850 - s, -2*q + 986 = 2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -55*n**2 + 2. Let k(h) = -221*h**2 + 9. Let i(z) = 2*k(z) - 9*m(z). Let a(u) = u - 10. Let r(g) = -g + 12. Let d(x) = 6*a(x) + 5*r(x). Give d(i(v)).\nAnswer: 53*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91\/523? (a) 10 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*y + 42. Let l = y + 139\/3. Put -3\/4, -0.5, l in ascending order.\nAnswer: -3\/4, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7979441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-18)\/8)\/(-3))\/(7923\/(-2224)))\/2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -828.4 - -828. Put -214, n, -0.5 in increasing order.\nAnswer: -214, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 6*l**2 - 7*l. Let g be b(7). Suppose g = 3*v - 7*v + 16. Suppose -5*y + 124 = v*p, 50 - 6 = 2*y - 4*p. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499768379.\nAnswer: 11, 109, 416821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177207181181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - f + 6*f = -120, m + 4*f - 39 = 0. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:35 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -8, -254 in increasing order.\nAnswer: -254, -8, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 - -61. Let k = w + 93. Let c = -57 - k. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - 6. Let a(f) = 11*f - 24. Let j(q) = 4*a(q) - 18*i(q). Differentiate j(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:09 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/31 + 41\/155. Let x(r) = -6*r - 3 + 7 - r**2 + 6*r**2 - 4*r**2. Let m be x(5). Are m and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 9*i**2 - 14*i**2 - 4*i - 19*i.\nAnswer: -5*i**2 - 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0)\/((-3)\/890). Round w to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/18 - 2\/9. Suppose g + 0*x + 2 = x, -x - 4 = g. Which is the third smallest value? (a) 0 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (69 - 36)) + 40 + -61?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3155?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 730*p + 26645 = 0. What is p?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006558 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/81 and -25\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47712383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, -94, -288, -566, -928?\n\"Answer: -42*b**2 + 16*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/4 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*f + 4*x + 4, -2 = -f - 3*x. Suppose 7*i + 2*v - 9 = f*i, 3*i = -2*v + 3. Solve -2*z + y = i*y, -z = -4*y - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)*-1*3*9. Let j = m + -16. Suppose j*y - 3*y - 10696 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/1936367 (b) 5 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 866286?\nAnswer: -1\/866286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655 and 2227.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 855511561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/(-95))\/((-2)\/5) + -16\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20. Suppose o = -14*t - 40 + 264. Solve -1 = -3*w - t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-384)\/56)\/(-2*6\/(-7)*6\/(-72)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(136))\/sqrt(8).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -3691.63?\nAnswer: 7383.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 7:22 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 0, -7*y - 50 = -4*y + 2*y - 3*x for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + (0 + -3 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 3*q - 21*q)*(-1 + 5 - 1).\nAnswer: -81*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from vvvo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51984.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-6 + -22)) + -12 - -15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570.137 less than 0.7?\nAnswer: -569.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 64. Let z = d - 19. Suppose -11*q = -z*q + 4. Let r(t) = 6*t + 3. Calculate r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 48*l - 14. Let p(z) = 17*z - 5. Let a(v) = 14*p(v) - 5*w(v). Let t(c) = 2*c + 94. What is t(a(x))?\nAnswer: -4*x + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-45)*(7191 - 1).\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - -13 - (3 - 0)) + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149\/7 - 21. Let l = 4296.6 + -4297. What is the biggest value in l, 4, -2\/13, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2176)*-4*-6 - sqrt(2176))\/(sqrt(288) + (sqrt(288) + 4*sqrt(288))*3)*-1)**2.\nAnswer: -8993\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 816\/9*60858\/(-172431)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18415 + 26687. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 3*i + 40, -4*r + i - 35 = -2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 21. Let g(m) = -4. Suppose 242*a + 1291 + 2009 = -58*a. What is a*g(h) + 2*p(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33534 or -33460?\nAnswer: -33534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3286530, -3286524, -3286512, -3286494, -3286470?\nAnswer: -3286440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/8 of a micrometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**3\/3 + b**2 + b + 1. What is the remainder when 37 is divided by n(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Factor b*c**2 + 6*c**2 - c**4 + c**2 + 9*c**2 - 17*c**3.\nAnswer: -c**2*(c - 1)*(c + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 6) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:30 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7029 + 6994 = 4*x, -2*x = 3*r + 15 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 28*g**2 + 66*g - 29. Is n(34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 + 34 = -3*g + 5*c, 110 = 5*g - c. Let p be -2*(27 + -5 + 2). Let y = p + 55. What is the greatest common divisor of y and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -100111010100000?\nAnswer: -100111010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1302 and 930?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/3, -0.1, -15, 1.97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1311 and 1407669.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c6 (base 13) in base 12?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61856580 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*r = 0, 3*s - 5*r + 16 = 24. Let j be 2\/4 - 610\/(-4). Suppose -s*p = -j - 33. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3340*s**2 + 1102*s**2 + 1116*s**2 + 1116*s**2. Let d(v) = -9*v - 13. Let j(t) = 2*t + 3. Let a(q) = -6*d(q) - 26*j(q). Determine a(w(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30208, 60449, 90690?\n\"Answer: 30241*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t = -17*t + 2*i - 686, 838 = 5*t - 4*i. What is the remainder when t is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, 0.043, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 98561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 104145973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 + 4*t + 8. Give h(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 12*d + 6*d. What are the prime factors of 2 + d + 3263\/13?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8*m + 216. Suppose -4*q + 66 = m. Solve -2*b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2298, 4688, 7078, 9468?\nAnswer: 11858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 2*n. Let v be x(-1). Solve -v*r + 5*a + 35 = 0, -2*a = 4*r + 2*a - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94.8 - -95. Is -2\/21 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 + 11*a + 7. Let w(s) = 25*s**2 + 31*s + 20. Let r(h) = 19*h - 99. Let g be r(5). Let c(j) = g*w(j) + 11*n(j). Determine c(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11016 and 115056.\nAnswer: 1035504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, d: 1, q: 3}. What is prob of picking 3 a?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 357\/19 - 3137\/171. Let v(p) be the first derivative of 0*p**4 + 8\/27*p**3 - 4\/45*p**5 + 23 - m*p + 0*p**2. Suppose v(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6392 times -154\nAnswer: -98.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 179040648.1 rounded to the nearest one hundred thousand?\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlr when three letters picked without replacement from lkzklccrzkmczzm?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*((-9280)\/(-96))\/(-10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let y = 0.19 + -0.24. Let l = y - 1.95. Which is the third smallest value? (a) l (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -41*t - 9. Let d(k) = 138*k - 39*k + 116*k + 46 - 11*k. Let f(x) = 3*d(x) + 16*z(x). What is the least common multiple of 22 and f(-2)?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24*-5 + (-8 - -18 - 9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1)\/(-2))*-4 - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/42)*(-12)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Suppose -3*i - j = -62. Suppose -9*y = -13*y - i. Sort -0.4, y, 1 in decreasing order.\nAnswer: 1, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 + 288 - ((0 - 1) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(sqrt(1900) - -6*(-2 + sqrt(1900) + sqrt(1900))))**2 + 0 - (3 + (sqrt(1900) + sqrt(1900) + (sqrt(1900) + 2 + sqrt(1900))**2)*-4*-6)).\nAnswer: -554980 + 22080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30889020?\nAnswer: 2, 3, 5, 31, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38526510 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.583 - -0.017. Let s = -6.4 - u. Let v = s + 24.7. Is v bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 3*2*sqrt(85) + sqrt(85))\/((sqrt(175)\/sqrt(5))\/sqrt(7)) + -1.\nAnswer: -1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - -4 - (-57 + 64))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.3732 centuries in months?\nAnswer: 772047.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 2*z + 3*z + 5*z**2 + 4. Calculate the remainder when 28 is divided by y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22131 and 94651828.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 8992.\nAnswer: 44960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -103, -207, -309, -409, -507?\n\"Answer: a**2 - 107*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 1000?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -10*o. Suppose 5*k + 15 = 0, -a + 3*k + 732 = o*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3763 is divided by 1251?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -19*y - 1\/12*y**4 + 0 + 0*y**3 + 1\/2*y**2. Suppose j(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 3*j - j, -4*j - 25 = -5*r. Suppose j = -5*g - h + 14 + 8, 0 = 5*g + 2*h - 24. Solve -4*b - 3*q + 0*q = -11, 14 = 5*b + g*q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 19*t - 65. Let y be r(-5). Solve 4*i + 21 = -m, 0*m - y*m = 5*i + 45 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3368*p + 62 + 108 = -3351*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 3716*f**4 + 86912*f**3 - 638464*f**2 + 1220608*f + 1949696 = 0. What is f?\nAnswer: -952, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1\/8))\/(d\/(d\/(d*((d**(3\/14)\/d)\/d)\/d))))**48)**32 assuming d is positive.\nAnswer: d**(28608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -20652696.73 to the nearest one thousand.\nAnswer: -20653000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7\/8, 223, -41\/4, 5\/2, 0.4 in descending order.\nAnswer: 223, 5\/2, 7\/8, 0.4, 0, -41\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 + 72. Let z = u + -212.1. What is the nearest to z in -1, -2\/15, -4\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 2.8. Let h = 0 + z. Let x = -26 + 49\/2. Put -1, h, x in decreasing order.\nAnswer: -1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9878.635 meters to micrometers.\nAnswer: 9878635000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:45 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from tacntc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Suppose -b - 5 = -3*h. Suppose 24 - 6 = h*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26 - -0.45. Let j = -0.19 + q. Suppose -2*p = -k + 106 - 107, -12 = -3*k + p. Which is the closest to j? (a) -2\/7 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(35)\/sqrt(5)) - (sqrt(84)\/(sqrt(12) + sqrt(12) + 2*sqrt(12)))**2) + -3 - ((-2*sqrt(140))\/sqrt(10))\/sqrt(450).\nAnswer: -55\/16 + 17*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-858)\/55)\/13 - (0 - 0). What is the nearest to -5 in -1\/3, -20, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 - -3 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9340, 10148, 10956?\nAnswer: 11764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120110 - -1011222?\nAnswer: 121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699896511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*t**4 - 10*t - 10*t + 11*t - 12*t**2 - 15*t + 21*t to o + y*t**3 + p*t + v*t**2 + x*t**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231169742 to the nearest integer?\nAnswer: 15204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a*q**3 + a*q**2 + 326*a*q + 50*q**4 - 3*q**2 - 5*q - 2 wrt q.\nAnswer: 156*a*q + 2*a + 600*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 853001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -27. What is the common denominator of (-11)\/112 - (-4)\/14 and 4\/b*(-115)\/3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, j: 2, w: 3}. Give prob of picking 2 z and 1 w.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + v**2 - v - 4. Suppose -649 + 157 = -123*s. Let x(f) = 6*f**3 - 3*f**2 + 2*f + 11. What is s*x(r) + 11*b(r)?\nAnswer: 2*r**3 - r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 6, g: 4}. Give prob of sequence gg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3520)\/12*99\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - m - 3. Let y(w) = 2*w**2 - 2*w - 38. Calculate the lowest common multiple of y(6) and q(3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 + h + 3. Let c be u(-5). Let j = -2 - c. Suppose 24*v - 23*v = 3, v = -4*q + 15. Solve j = -q*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 500 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-10) + 2\/5. Solve 2 + 1 = -m*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33274 and 1778.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -27807*c + 222549. Give x(8).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 4. Let t be a(-7). Let f be ((-3)\/t + 1)*1. Let b be (-1)\/(f + 3\/(-51)). Solve -q = -5*u + b, 0*q - q - 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - s + 20224 = 3*s, -5*v + 25282 = 4*s. Suppose 8*b - v = -b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 - -197. Let n = l - -94.3. What is the second smallest value in -1\/2, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 291795624?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*m - 6 = 2*m, -3*m - 6 = 0. Let b = 4 - w. What is the third derivative of b*r**2 + 2*r**2 - 4*r**2 + 2*r**6 wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-6641)\/(-145) - (-340)\/(-10).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -18. Let c be (-40)\/(-2)*m\/(-22). Let z be ((-15)\/(-25))\/(2\/c). Solve 20 - 8 = z*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:02 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - x + 1 = 243, 0 = 3*c + x - 353. Calculate the greatest common divisor of c and 15232.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 31 = -14*d - 554 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1238 + -731. Let r = -506.99958 + z. What is r rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 9*b**2 + 3*b - 35. Let x be k(-8). Suppose p + 27 = 8*l - 4*l, -x*p + 9 = -2*l. Solve 3*i - l*i + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001133 (base 4) to base 5.\nAnswer: -231122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1816 + 10278 - 6335 + 17236 + 2*l.\nAnswer: 2*l + 22995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.3, 2\/15, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2063 and 6352.\nAnswer: 13104176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 1, -5, 0 in decreasing order.\nAnswer: 8, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.431 rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p - 4*p)*(4*p + 1 - 1)*(-3*p + 8*p - p) + 6*p**3 - p**2 + p**2.\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = 563*t - 568*t + 4*m, 0 = t + 31*m - 1927 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*v, -9*r + 5*r + 22 = 2*v. Suppose -2*b - 1 + 7 = 0. Solve -o - 21 = -r*i, -i + b*o + 5 = 2*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - -1.1. Which is the nearest to f? (a) 4\/5 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188655*h**4 + 1529*h**2 + 106241569*h - 3 wrt h?\nAnswer: 2263860*h**2 + 3058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 + 0 = 0. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.58 (b) 0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*f - 11 = -0*f, -4*f + 20 = 0. Let k = -0.1 + 0.1. What is the closest to -1 in k, -2\/11, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3228*h - 3223*h - 25 = 0, -5*h + 9 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8580689, -17161390, -25742103, -34322834, -42903589, -51484374, -60065195, -68646058?\nAnswer: -77226969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 18*a**3 + 6*a**2 + 6. Let u(o) = 2*o**3 + o**2 + 1. Give 6*u(i) - v(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 1 - (202 - (157 + 34))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -1, 1, 91 in descending order.\nAnswer: 91, 1, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -18*i - 28. Let y be d(-4). Suppose -34*j + y*j = 19390. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5023 - 20281 + 25304 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i - 6. Give f(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((26 - 10) + -18 - -16) + -9 - (-2 - 62)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, -1\/6, -0.15, 5, -4 in decreasing order.\nAnswer: 5, 0, -0.15, -1\/6, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 12) in base 7?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - (-17 - -16) - 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 7*t**2 - 2*t - 6. Let p be s(-7). Let x(q) = 10*q**2 - 3 - 9*q**3 - p*q + 0*q**2 + 8*q**3. List the prime factors of x(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnnnnnhnnnnnhnnnnhn. What is prob of picking 2 n?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:52 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6 - -1)*24. Suppose 3*s = -j, -2*s + 117 = 2*m + 3*m. Let i be (-119996)\/(-10) - (-10)\/m. Round i to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*-2*((-2*sqrt(153) - sqrt(153)) + sqrt(153))*2)\/((-5*sqrt(900)*2 + sqrt(900) - sqrt(900))*-3).\nAnswer: -5 - 4*sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w. Let g(b) = 790*b. What is g(v(s))?\nAnswer: 4740*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26410 + 145095. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 12 = 0, 0 = 2*l + d - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 5*d - 41, 163*f - 168*f = -3*d - 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(1\/(-2))*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1907551\/6 and 317925 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 4. Let i be v(-7). Let f be 18*(0 + 1)\/2. What is the highest common divisor of f and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1447 + -92. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 102. Let q = -12 + b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 42*y**2 + 1. Let h(g) = g**3 - 10*g**2 + g - 11. Let p be h(10). Calculate the remainder when t(p) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -656889.3?\nAnswer: -3284446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99826*d + 2 + 397*d**3 - 2 - 208*d**3 - 99828*d.\nAnswer: 189*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -10\/3, -73, 0.5 in descending order.\nAnswer: 38, 0.5, -10\/3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004701835 to six dps.\nAnswer: -0.004702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -838*a*h*r - 198*a*h + 12*a*r**2 + a*r - 4*a - 2*h*r - 3*h + 8 wrt r.\nAnswer: -838*a*h + 24*a*r + a - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from zkkkzzzzzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1066, -2\/21, -14, 2.3 in ascending order.\nAnswer: -1066, -14, -10, -2\/21, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, y: 1, q: 1, i: 1, e: 1}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1129 or 72323\/64?\nAnswer: 72323\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -4*b**6\/35 + 939*b**5\/70 - 111*b**4 + 1537*b**3\/7 - 876*b**2\/7 + 2250*b. Find u, given that w(u) = 0.\nAnswer: 1\/4, 1, 4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -483*d**5 - 90223*d**4 + 209338360*d**2 wrt d?\nAnswer: -28980*d**2 - 2165352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 = -2*z. Let k(m) = -8 + z - 6*m. Let u(w) = 13*w + 50. Let r(t) = 3*t + 10. Let f(p) = -5*r(p) + u(p). Determine f(k(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9569 + -7101. Calculate the remainder when c is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7067.\nAnswer: 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 7*m + 3360. Find the third derivative of 744*j**3 + 27*j**2 - m*j**3 - 361*j**3 wrt j.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 7 = 2*i, -i - i - 3 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9371962 days to milliseconds.\nAnswer: 80973751.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 23. Let q(n) = -25. Let p(v) = -2*q(v) - 2*x(v). Let c(f) = f**3 + 7*f**2 + f + 10. Let u be c(-7). Give p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22356820.\nAnswer: 2, 5, 937, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 4. Let i be p(14). Which is smaller: -9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/681 and 43\/30?\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -2. Let r be (-3)\/6*(i + -11). Suppose -2*u - 2 = 8, -3*u = -r*c + 105. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26\/7, 4.8, 3\/7?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 2.4. Let d = 4\/11 + -31\/55. Which is the third smallest value? (a) 2 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 - 458*d**2 - 7388*d + 16592 = 0.\nAnswer: -17, 2, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus -281492568667?\nAnswer: 281492568667.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = m + 4*m - 70, -3*m - 4*b = -43. Let c = 21 - m. Let v = 26 - c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -5. Put 3, r, 0.2 in descending order.\nAnswer: 3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (154\/(-33))\/(-14)*15. Solve -2*j - 2*j + p - s = 0, 0 = 5*j + 3*p - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4171.\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 136 = 2*l. Suppose 27 = 3*j - s - 3*s, 4*j = -s + l. Solve -4*t = -4*n - t + 21, -18 = -j*n + t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2474142 and 330?\nAnswer: 12370710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 244140 (base 5) to base 9\nAnswer: 13667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 398 + 421 = 0. Let z = 392 - k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 63*s**2 - 3*s + 3. What is the tens digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007958 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 3, 1, 4 in increasing order.\nAnswer: -8, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 10917347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmemmmmmmmem?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. What are the prime factors of (d\/(-3))\/(28\/1554)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3258dd - 20?\nAnswer: -32591d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3873 * 10.\nAnswer: 38730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -41*o - 63. Let h(a) = a + 5. Let x(u) = -8*h(u) + z(u). What is x(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.144 - 10398809803.\nAnswer: -10398809803.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (0 - -21)) + 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 293.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3717408516.\nAnswer: 2, 3, 59, 79, 66463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/1136*-64*1\/(8\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.3 and 1.6453?\nAnswer: 5.9453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 5\/2*s**2 - 5\/2*s**3 + 1\/12*s**4 - 2*s + 0. Calculate the remainder when 13 is divided by a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:12 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 7*z**2 + z - 6. What is l(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51.2 and -1.46.\nAnswer: -52.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 4. Suppose -42 + 6 = -4*z + 2*b, 3*z - p*b - 32 = 0. What is the lowest common multiple of z and 13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**2. Let d(o) = 24*o**2 + 12*o - 5. Let y(t) = -35*t**2 - 17*t + 7. Let u(z) = -7*d(z) - 5*y(z). Determine u(k(i)).\nAnswer: 63*i**4 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 19*h + 36. Let x be d(-17). Let g be (2\/(-10))\/(791\/x + -12). Find o such that -24\/7*o - 26\/7*o**2 - 8\/7 - g*o**4 - 12\/7*o**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 25203*b - 201624. Give q(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -29 (c) -0.4 (d) 4\/8683 (e) -1\/7 (f) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 - 3035*d**3 - 30940*d**2 + 1088000*d - 5149440 = 0.\nAnswer: -596, -27, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 0*h**2 + 1\/3*h**3 + 1\/6*h**4 + 0 + 2*h. Solve i(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 663*j**6 - 1936*j**2 wrt j.\nAnswer: 79560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t - 56. Let f be s(8). Let z be (-2)\/f*6*8\/(-15). Let i be (0 - -2)*1\/2. Is z greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnjjnjnjnnjnnnjjjjn?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 139680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveevevvvveevveeeve. Give prob of sequence vvv.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9821 - -25074. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*b + 2*b + 3*n, -3*n + 7 = b. Sort b, -1, 0.3 in increasing order.\nAnswer: -1, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15248 is divided by 142?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*g = -217*g + 275 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isspsdiggspsppssg. Give prob of picking 2 g and 1 p.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**4 - 11*t**2 - 11*t - 16. Let h(i) = 3*i**4 - 4*i**2 - 4*i - 5. Let n(u) = 4*d(u) - 11*h(u). Differentiate n(o) with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 21 = 3*l, l + 14 = -10*c + 13*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 98. Solve d = -0*z - 2*z + 3*h, 5*z + h = 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -397\/5 - -79. Which is the closest to i? (a) 4 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.9 - 4.7. Let n = k - 0.2. Let y = 0 + 0. What is the closest to 0 in y, n, 2\/19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 50.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2\/o)**(6\/23)\/(o\/(o**(2\/5)\/o))**(-21) assuming o is positive.\nAnswer: o**(3894\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1.5492?\nAnswer: -4.6476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -24\/5 (b) -1\/5 (c) -25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(2 + -3)*3\/(-6). Suppose -4*b + 13 - v = -c, 4*b - 2*c - 4 = 0. Calculate the remainder when 36 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from ojooovogjj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + r**2 + r. Let q be g(-1). Suppose -4*y - j = -235, -q*j = 5*y - 4*j - 295. Calculate the highest common factor of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from qgpppyfpyyq.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1577617456 to three decimal places.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 4:41 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(504)\/sqrt(2) + (-1*sqrt(140))\/sqrt(5))\/(sqrt(24)\/sqrt(24) - (2*sqrt(64) - sqrt(64))))**2.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100993.\nAnswer: 23, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 16*p**2 - p - 33. Determine a(-5).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = -2*p + 4, p - 2 = -5*j. Solve j = -4*g - 1 + 9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - 83.2. Sort -1\/3, s, -4 in decreasing order.\nAnswer: s, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241836?\nAnswer: 2, 3, 7, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**6\/135 - 2*a**5\/45 + 5*a**4\/54 + 33*a + 22. Let k(h) be the first derivative of o(h). Factor k(z).\nAnswer: -2*z**2*(z - 1)*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80*0.5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/540*97\/194.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11171535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -222*f - 2267*f - 2028*f + 1009*f - 292*f in the form y*f + d and give y.\nAnswer: -3800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/12 (b) 3 (c) -3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 + f - 3. Let d be a(-2). Let v(u) = -4*u**2 - 21*u - 8. Let h be (3\/4)\/(1\/(-8)). Let y be v(h). Is y smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5643 + 0.0337. Let c = 28.942 - 29. Let h = a + c. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02703671909 rounded to four decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*(-72)\/(-243). Let n = 13 + -7. Let w be n\/9*1\/(-2). What is the closest to -1\/2 in -1, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 0.03. Is 1 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1067*j**2 + 4*j + 2. Let b(i) = i**2 - i - 1. Determine -4*b(t) - u(t).\nAnswer: 1063*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbxw when four letters picked without replacement from {x: 5, b: 7, w: 2}.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -43c30b2?\nAnswer: 43c30b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(704) + 0))**2*-4 + -1.\nAnswer: -2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.1604 milliseconds in nanoseconds?\nAnswer: 408160400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 + 0)*(2*r + 4 - 4)*(-44 - 87 - 503) as w + y*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 4\/635?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35878849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -2*j + 5*j. Suppose n = -3*s + 2*n + j, n = -5*s + 90. Calculate the lowest common multiple of s and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 2. Suppose -p*t + 3 = -45. Let k be t\/(-56) - 8\/(-126). Put -0.2, -0.4, k in descending order.\nAnswer: -0.2, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10171230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1331013350?\nAnswer: 1331013343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 202 times 856\nAnswer: 172912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1078653804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 - (3 - (-28)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001000101 - -11111?\nAnswer: -10000000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o + 1, -3*y + 4*o + 13 = 0. Let j(z) = z + 0*z - y*z. Let x(h) = 950*h - 950*h - 89*h**2 + 16*h**2. Calculate j(x(l)).\nAnswer: 146*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10467707 (base 9) to base 7\nAnswer: -61021312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12 = -3*i. Suppose -3*r - i*l = 6, 3*r = l - 3*l. Let o = r + 0. Solve 0 = o*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1333, -1349, -1365, -1381?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - b**2 - 2 - b)*(-4*b**2 - 4*b**2 + 3*b**2) in the form c*b**2 + i + a*b**4 + p*b**3 + w*b and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-48)\/(-1280) + 2*(-2)\/4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2798 is divided by 399?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18054*l**3 - 36373*l**3 + 17014*l**3.\nAnswer: -1305*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -319 equal to -318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1700 + 3*h**3 - 90*h**2 - 1700 + 90*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let k = 94 - 91. Let b(i) = -2*i + 21. Let a(n) = 2*n - 21. Let v(u) = k*a(u) + 4*b(u). What is q(v(s))?\nAnswer: -2*s + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -f?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) + sqrt(152) + sqrt(152)*-2)*3)\/(2*sqrt(200)) - (2 + ((3*sqrt(5700) - sqrt(5700) - sqrt(5700) - sqrt(57)) + sqrt(57))\/sqrt(3)).\nAnswer: -99*sqrt(19)\/10 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1442*g**2*h**2*r**3 - g**2*r**2 - 23*g*h**2*r**3 + g*h**2*r + g*h - 621*h**2*r**2 - 3*r**2 wrt r?\nAnswer: 8652*g**2*h**2 - 138*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Let l(a) = -a - 4. Let r be l(0). Suppose 5*j - 17 = -2*f, -2*j = -3*f + 3*j - 12. Put r, f, q in decreasing order.\nAnswer: q, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*x - 7*s - 46, 10 = 5*s. Let o(g) = 2*g**2 + g - 2. Calculate the smallest common multiple of o(2) and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:34 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u. Let j(d) = -2*d - 463481. What is j(f(q))?\nAnswer: 2*q - 463481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/6 (b) 0.1 (c) -6 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**4 + 4*k**2 + 6*k**2 - 16*k**4 + 51*k**5 + 5*k - 56*k**5.\nAnswer: -5*k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*((-42)\/12 + 4). Let h be 1\/((-2)\/t) + -12 + 14. Solve -h*q - s = -2 - 23, -10 = -2*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+37449.35\nAnswer: 37449.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 429*j. Let o(p) = -3764*p. What is o(q(f))?\nAnswer: -1614756*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -15 (c) 3\/8 (d) 0.21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 696.6374 centuries to millennia.\nAnswer: 69.66374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -438, -436, -434?\n\"Answer: 2*m - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 131, 496, 1085, 1892, 2911, 4136, 5561?\n\"Answer: -b**3 + 118*b**2 + 18*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105? (a) 0.1 (b) -983 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-2)\/(-32)). Suppose -13 = 2*b + 5*n, -5*b + 5*n + a = -12. What is the remainder when 33 + ((-3)\/b)\/(-3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeeqeeheehledeerr. What is prob of sequence hq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*1*((-168)\/16)\/(-21). Let m be (-1)\/z*84\/(-140). Let r = -2 + 0. Put 0.5, m, r in descending order.\nAnswer: 0.5, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4814 and 232?\nAnswer: 19256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -6*m - 522. Let a = -67 + m. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -205, -1848, -6325, -15058, -29469, -50980?\n\"Answer: -237*q**3 + 5*q**2 + q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/790 and 41\/488410?\nAnswer: 38584390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r**4 - 2*r**4 - 2*r**4)*(4*r - 3*r - 3*r) - r**5 + 12*r**5 + r**5.\nAnswer: 32*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30054209, -30054203, -30054187, -30054155, -30054101, -30054019, -30053903, -30053747?\nAnswer: -30053545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -497*o - 3549. Let s be k(-7). Sort -4, s, -2 in ascending order.\nAnswer: s, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 1. What are the prime factors of u(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) -0.6 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 2*m)*(2*m + 14 - 8 + 1).\nAnswer: -2*m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 43\/4 (b) -5.8 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100010 (base 2) to base 13.\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -7. Let d be ((-2)\/(-9))\/(8\/(-3156)). Let w = 88 + d. Is a < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 259*g**2\/2 - 2340. Let w(j) = j**2. What is w(q(t))?\nAnswer: 67081*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*a - 87685 = 82*a + 955*a + 81110 for a.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 9*k + 11. Solve k*a + 16 = 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + p**2 - 6*p**4 - p - 2*p**2 + 2 - p**3 to the form t*p**4 + d*p**2 + y + u*p + g*p**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5740 - -5650) + 1 + 32.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3*2*2\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15\/70 - (-3348)\/840\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 622 = -3*b. What are the prime factors of ((-4)\/5)\/(0 + (-6)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 - -4.8. Let g = d + -5.98. Let t = 0.52 - g. What is the closest to -0.2 in -1, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26666247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24294 + 24295.20366. Let y = f - 0.803665. Let d = y - 0.4. Round d to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 11:24 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.5 (b) 0.3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:25 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/f**(-8)))\/f**10*f**(-7)*f**16*f)**(4\/19) assuming f is positive.\nAnswer: f**(-28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 + 316. Let x(i) = -i + 9. Determine x(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 < 1752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/3 - 7. Let u(f) = f - 1. Let t be u(6). Let p = -9 + t. Which is the nearest to 2? (a) -1 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*h = -1088, 3*h = 5*l + 5*h - 1372. Suppose 0 = -3*c - 0*c - l. Is 22\/(176\/c + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.9, -1\/10, -51.6, 3, -2\/67, -3?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4191791 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1636068 and 1285482?\nAnswer: 17996748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5212 is divided by 537.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 + 37*m - 4. What is the remainder when (-7)\/((-35)\/(-10)) - -15 is divided by n(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24622)\/(-14) + 38\/133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2193956 + 1539*g + 2193956 + 2*g + 4*g - 4*g + (-5*g + 3*g + 3*g)*(3 - 3 - 1) - 3*g + 2*g + 0*g + 4 + g - 4 - 2*g - 3*g + 7*g - 7*g - 2*g + 8*g.\nAnswer: 1541*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-27)\/(-6) - 4)\/((-1)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2 - 1457 + v**3 + 3*v + 30*v**2 + 1443. Determine g(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w + (3*w - 4*w + 3*w)*(1 + 1 - 1))*(185*w**2 - 185*w**2 - 11*w**3).\nAnswer: -11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 435*34\/(-1530)*6\/2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 63) + 8 - -25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 2*v**3 + 2*v**3)*(2*v**2 + 0*v + 0*v).\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s + 1. Let a be (-148)\/(-222) + (-146)\/(-6). Suppose a*l + 25 = 75. What is the remainder when j(1) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1772.2455 to the nearest integer.\nAnswer: -1772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -15. Let i be 2\/(1 + -11) - 0. Let q = 14.2 + -14. What is the third biggest value in q, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + q + 84 - 29, q = 2. Let a = -41 - o. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192488995*j**5 - j**3 - 609*j + 190991?\nAnswer: -3849779900*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -304*m - 2148. Is 10 a factor of y(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzfz when four letters picked without replacement from {f: 7, z: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 12*l - 7*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**4 + 0*j**6 + 0 - 1\/6*j**7 + 0*j - 38*j**2 + 0*j**5 - 9\/2*j**3. What is the derivative of t(i) wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 21 = 46*q. What is the second derivative of 12*z**q + z**3 - 13*z**3 + 2*z - 3*z + 103*z**5 - 24 wrt z?\nAnswer: 2060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j)*(0*j - j - j) + (-3*j + 5*j - 4*j)*(25*j - 4*j + 10*j).\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 3*g**2 - 11*g - 14. Suppose 3*t = 5*c + 37, t + 29 - 23 = -2*c. Let n be x(c). Let h(i) = -i + 2. Calculate h(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-68)\/(-12) - 5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 5\/2)*6. Let n be s + (4 - 0 - 4). Solve -p + n*p - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -1*(3 + 2). Suppose 3*m + 350 = r, 0 = -4*r + m + c*m + 1445. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, 1404\/415?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033430 (base 6) to base 16.\nAnswer: 17eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.5. Let d = -8 + 9. What is the closest to -1 in d, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -888417?\nAnswer: 888412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -2, 7\/16?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 286150 - m**4 - 795*m**2 - 309*m**2 + 136*m**2 - 286151 wrt m?\nAnswer: -4*m**3 - 1936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 459 = -336*f + 316*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/(-252)*(16\/2)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.89443ml in litres?\nAnswer: 0.02589443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:30 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*g - 169*g = -21252 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -131 + 148 - (5 + (-129)\/(-15))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q - 4. Let x(a) = -34*a + 35. Determine -4*v(p) - x(p).\nAnswer: 22*p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -10*x**3 + 205*x**2 + 135*x - 630 = 0.\nAnswer: -2, 3\/2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-1\/14)\/((f**4*f)\/(f\/((f*f**1)\/f*f))) assuming f is positive.\nAnswer: f**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/27)\/q*q*q**(-1\/4)*q)\/(q**0)**(-20))\/((q\/((q\/q**3)\/q*q))\/q*(q\/(q\/q**(-9)))\/q)**(4\/3) assuming q is positive.\nAnswer: q**(1225\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1411180 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 5, -4, 4.\nAnswer: -4, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-16) + (-77119)\/(-2). Suppose 9 = -3*p, 0 = -2*z - 3*z + 4*p + 82812. Let v = u - z. What is v rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 12:21 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722.995ml in litres?\nAnswer: 7.722995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 55, 94, 2, -29, -131.\nAnswer: -131, -29, -4, 2, 55, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9212, -9144, -9076, -9008?\n\"Answer: 68*b - 9280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 285644499 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 189, 228, 303, 426, 609?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + l = 5 + 31, -180 = -4*m + 5*l. Let q(a) = a**2 + 5*a + 5. Calculate the remainder when (21\/(-5))\/((-8)\/m) is divided by q(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208574 and 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 1 + -4)**2.\nAnswer: -18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/424 and 119\/629004?\nAnswer: 1258008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15565)\/(-566)*(-240)\/75.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 68.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 - 3*r**2)*(-3*r + 0*r + 6*r) - 4*r**3 - r**2 + r**2.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12645\/1 + (-18)\/(-30)*(13 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 c, and 1 k when four letters picked without replacement from mcccaccmmkt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 4*g + 23, 4*q - 339*g = -338*g - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 2*c**2 + 281 + 195*c**3 - 294 - 55*c**3.\nAnswer: 140*c**3 - c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, d: 10}. What is prob of picking 2 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 - -2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9856 + -0.0144. Which is the fourth biggest value? (a) 16 (b) q (c) -2\/3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/75*10\/(-1). Sort -1, 12, g, 7.\nAnswer: -1, 7, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1980) - sqrt(1980)*-1)*-4 - sqrt(1980)) + sqrt(1980))\/(-4*sqrt(99)*5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from nubbbgmmbnnbm.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -1110.83.\nAnswer: -133.2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 - 1. Let y be -2 - ((0 - -1) + 2). What is g(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224397324 to the power of 1\/3, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.772 - 0.007118348\nAnswer: -0.779118348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 12. Suppose 0 = h*q - 365 - 193. Let t = 835\/9 - q. Which is the third smallest value? (a) t (b) 2 (c) 0.5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = 6. Let p(h) = 2*h. Let j be p(a). Is (9\/(-15))\/(j\/30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 19. Let u be i(8). Let r(h) = -10*h - 8. Let k be r(-6). Suppose u*w = w + k. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let a(z) = -z**2 + 4*z + 3. Let o(g) = a(g) - 3*b(g). Let t be o(0). Suppose -i + 10 = -t. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 5. Suppose n + 2 = 0, -4*x + 2*x + 2 = -4*n. Let h be l(x). Let p(u) = -3*u**2 + 2*u**2 + 3*u**h. Let o(j) = -9*j. What is o(p(v))?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -13*g + 200. Calculate the highest common factor of g and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 23972452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 7. Let m = -1 + 1. Let a(n) = -8 + 2 + 8*n + m. Let q(k) = -6*a(k) - 5*s(k). Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1567394 and 873200?\nAnswer: 4366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4188 + 8374 - 4185 + 4*g**2 - 41*g to k*g**2 + s*g + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b**2 + 4*b - 5. Let t(a) = -24*a**2 + 5*a - 7. What is 4*o(w) - 3*t(w)?\nAnswer: -24*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 29, 60, 91, 122, 153?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-166)\/(-1743))\/(18\/294)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -42, -60, -76, -90?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 2:21 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78\/21 + -5 + (-4)\/(-14). Let s(r) = r**2 + 1. Let o(q) = 1. Let y(u) = n*o(u) + s(u). Let k = 67 + -65. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(k**2 - 3 + 3) - 2 + 2 + 2*k**2 + 6*k**2 - 2*k**2 - 5*k**2 + 778*k**2 - 3*k + 0*k - 740*k**2 to g + x*k + n*k**2 and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 22587.45um?\nAnswer: 22587450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -4. Suppose -5*j + 2*j + 6 = 0. Let d be o\/81*-3 - j. What is the closest to 1 in 5\/4, 2\/15, d?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 30. Let y be 6\/4 - k\/(-6). Let i(t) = y - t**2 - 5 + 0 - 5*t. What is i(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 68*f + 340. Calculate s(-10).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 668 in 3, 342, 0.5?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(9 + -4 + -3). Suppose -d = -6*d + 5*b + 50, d - v*b - 7 = 0. Calculate the remainder when 35 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(2\/3))**(-6\/19))**(7\/5))**(1\/26) assuming x is positive.\nAnswer: x**(-7\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630 and 3213?\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -94.\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3098 by -1549.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -91*w**3 + 78*w**2 + 78. Let g(x) = x**2 + 1. What is -78*g(n) + m(n)?\nAnswer: -91*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26880 (base 9) in base 15?\nAnswer: 55e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1494 and 18?\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + 5 + (sqrt(1458) - (-5 + sqrt(1458) + 2) - (-2 + sqrt(1458)*1))))**2.\nAnswer: -6750*sqrt(2) + 37075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 4*p**4 - 10*p**4 - 2*p**3 + 394*p**2 - 396*p**2 + 2 as j*p + g*p**3 + h*p**2 + x + f*p**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*s + 11828, 2*s + 5*l + 4751 = 4*s. Suppose -41*y + 4*y + s = 0. What is the lowest common multiple of y and 8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3991833590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 9*x**2 - x - 2. Suppose 0 = -2*c - 4 - 14. Let b be p(c). Suppose 0 = b*n - 2*n - 290. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 71091.\nAnswer: 23\/71091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 1 - 16 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 + 2*s**2 - 10703 - 7*s**3 + 10704. Suppose -9 = -4*f + 5*r + 7, -f - 2*r - 9 = 0. Is 2 a factor of b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 150.148. Let n = -0.053 - w. Is n less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - v = -6, 0 = -m + 6*v - 3*v + 2. Suppose 3*k - 21 = 3*r, -2*r + m*k = 5*k - 6. Which is smaller: -4 or r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*c - 48. Suppose 41*t + c = 27*t. Let y(q) = -q**2 - 1. Give y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 28\/(-12))*18. Suppose 13*z + v = 15*z. Let l(c) be the second derivative of -c**3\/3 + 7*c**2\/2 - c. Calculate l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:23 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*i*n - 29007*i + 37*n + 971545 wrt i.\nAnswer: 23*n - 29007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*x + 18, -6 - 12 = 4*i + 2*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from gjrrjjjjjggjgj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/5607 and 95\/806874?\nAnswer: 16944354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 0.36 (b) -520 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*r**4 - 3*r**3 + 20*r**2 - 5*r + 431373 wrt r?\nAnswer: 60*r**3 - 9*r**2 + 40*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8550576 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24821, 49643, 74465, 99287?\n\"Answer: 24822*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.02, -5, 4\/7, 24?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -394, -283, -102, 149, 470, 861?\n\"Answer: 35*p**2 + 6*p - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:38 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (36\/(-144))\/((-3)\/33420)?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5 - (-312)\/60 - (-9282)\/(-51510).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, d: 12, n: 3}. Give prob of sequence ddsd.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 197, 184, 151, 92?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/59 + 51\/236. Let q(u) = u**3 + u**2 - 3*u + 4. Let i be q(-3). Let d = 0.116 + 0.084. Which is the closest to r? (a) i (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*a + 2444 + 2814 = -2278 + 6828 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -7*l**5\/24 - 5*l**4\/4 - 4*l**3\/3 - 21. Let f(c) be the third derivative of z(c). What is the derivative of f(j) wrt j?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 540 = -4*k, 4*k + 4*p = 548. Let m(b) = -10*b - 264 + 131 + k. Let d(z) = 4*z**2. Calculate d(m(h)).\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15651 = 110*i + 31*i. Which is smaller: i or 2520\/23?\nAnswer: 2520\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 5*n + 5. Let y(b) be the third derivative of -b**5\/60 + b**4\/8 + b**3\/2 + 6*b**2. Determine 3*k(d) - 5*y(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -22*p**2 + 84*p + 5. Let n be r(4). Let i(j) = j**3 + 10*j**2 - 10*j + 12. What is i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-12*(-22)\/(-99395736)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15831, 16409, 16945, 17433, 17867, 18241?\nAnswer: 18549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 22 + (2 + -1 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 2. Let i(j) be the first derivative of -j**2\/2 - j - 1. Suppose s + 7 = 4. Determine s*v(z) + 6*i(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 7*a + 13. Calculate s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -439 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c + 4. Suppose -q + 4 = 0, 4*z + 0*q = 3*q + 8. Let y be v(z). Sort 3, -3, y in decreasing order.\nAnswer: y, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5134 and 499769230?\nAnswer: 5134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -12. Let o be ((-3)\/3)\/w*0. Solve -u = -o*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, -4, 462 in descending order.\nAnswer: 462, 11, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/13)\/p**(-1\/4))**(-1\/72)\/((p**(-1))**(-13\/5)*p**(2\/5)*p**(-8)*p*p) assuming p is positive.\nAnswer: p**(1247\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.5. Let k = -1.3 + -0.7. Put 1\/3, b, k in decreasing order.\nAnswer: 1\/3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w + 4. Suppose 11*f - 35*f + 336 = 0. Let x = f + w. Solve -2*m = 3*u + 6, 4*u + 5*m + x = -0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -2*1 - -3. Suppose n = -3*q + 11. Suppose -90 = -7*p + 120. What is the highest common divisor of q and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 30*l**2 - 494*l + 862. Give m(11).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/340*(-8)\/(-14)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1758*a = 1750*a + 48. Suppose 74 = 2*m - 5*c, -3*m = -7*m - 4*c + 120. Calculate the remainder when m is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1905*c + 1627*c - 5552*c)*(6 - 3 - 1)*(-c - 4*c + 4*c) to the form a*c + x + h*c**2 and give h.\nAnswer: 11660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 123?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**(3\/20))\/c)\/c)\/c**(1\/3) assuming c is positive.\nAnswer: c**(-29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -557.58 from -0.02.\nAnswer: 557.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(288)*2.\nAnswer: 3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 4*f**2 + 3*f. Let l be u(2). Find the common denominator of -1 - (l - (-15)\/6) and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by 33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/17 + 586*z**2\/17 + 1166*z\/17 + 582\/17.\nAnswer: 2*(z + 1)**2*(z + 291)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 3*u - 4*u + (-1 + 1 - 2*u)*(-5 + 1 + 1) - 3 + 3 - 17*u.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -6, 2, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 42. Let b = -2 - q. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 32 = -5*m - 0, 0 = m - 5. Let w = y + -2. Suppose 729 = w*b + 224. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 1 - 12\/(-6). Suppose -6 = -s - d. Let i(n) = 3*n**2 - 2*n + 2. Let z be i(s). Solve 0 = 3*t + z - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-2)*(-3)\/((-45)\/(-40)). Let v be u - -27 - 2*1. Suppose 3*g + m = -10, v*g - 4*m = 4*g + 14. Is -8\/13 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -219950.\nAnswer: -659850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1269.604991 to zero decimal places.\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**4 - 202*v**3 - 30*v - 1740. Let n(w) = -26*w**4 - 1012*w**3 - 160*w - 8700. Let b(y) = -16*f(y) + 3*n(y). What is the derivative of b(z) wrt z?\nAnswer: 8*z**3 + 588*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*u**2 + 119*u**2 - 91*u**2.\nAnswer: -222*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*7\/((-910)\/39).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 5*a + h - 3*h, 1007*h - 1003*h + 130 = -6*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63 + -59. Let t be (-4)\/(l*1\/(-2)). Solve 0 = 6*r - t*r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2173636 - 788652. Let o = -6262288 - i. Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**4\/4 - 13*o**3\/3 + 8*o**2 - 28*o + 30. Let a be w(12). Is 5*(83\/a + 13\/52) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(4 + sqrt(343)) + (3*(sqrt(343) + 4 + sqrt(343)))**2).\nAnswer: 3129*sqrt(7) + 37536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.8. Let x = 2.2 - 2. Let n be (4\/(-14))\/(225\/105). Which is the third smallest value? (a) m (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 9*h + 6. Calculate i(-6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {s: 2, q: 5, z: 1, k: 3, l: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2 = -2*f, -100*f + 48*f + q = -56*f + 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + q**5 + (8 - 8 - 13*q**5)*(-4 + 1 + 2)*(-4 + 1 + 4).\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1. Let l(h) = -h - 4. Let x(m) = l(m) - 4*w(m). Let y(o) = 2*o - 240*o**2 - 2*o - 238*o**2 + 457*o**2. Determine y(x(u)).\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**5 - 25*j**4\/4 - 5*j**3\/3 + 25*j**2\/2 + 28. Factor c(x).\nAnswer: 5*x*(x - 5)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7258389 to the nearest integer?\nAnswer: 2694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6 - -152?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14206 is divided by 4346.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 - 18*c + 8. Let q be z(-5). Let k be (-5 + 30\/5)*q. Sort 3, -3, k in descending order.\nAnswer: 3, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/33 - (-32)\/(-30))*-5. Let p(j) = j**3 - 7*j**2 + 4*j - 10. Calculate p(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -776656*w + 32. Let a be q(-3). Round a to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 1. Let i = -8880 + 8881. Let p(s) = 4*s**2 - s + 24. What is i*p(t) + 3*x(t)?\nAnswer: t**2 + 2*t + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*q - 2, -4*y + 1 = -12*q + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1950 and 300.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(770\/40))\/(-1)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 522*h**2 - 3*h - 4. Let v be (6\/(-6) + 0)*1. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.8 + -54. Let m = -0.2000037 - o. What is m rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, z: 3, p: 1, k: 2, a: 2}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:06 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -143210 divided by -10?\nAnswer: 14321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**4\/4 - d**2 - 40*d. Let g(t) = 25*t**2. Give p(g(o)).\nAnswer: 1050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178 is divided by 275.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -2. Let t be 56\/f + 3 - 1. Suppose -52 = -r + t. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 2, s: 3, e: 2, g: 1, p: 4}. What is prob of picking 1 e and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 22 = v + v, -v = -2*r + 27. What is the derivative of 39 - r - 9*j**2 + 57 + 3*j**2 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 774 and 42.6218?\nAnswer: 32989.2732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 1 + 2 + (-3 - 4 + 0)*(2 + 0 - 4) + 3 + 0 - 4)*(-b**2 - 3*b**2 + b**2).\nAnswer: -87*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6)**(-32)*(x**17*x)\/((x**(1\/14)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-2423\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 504 = 10*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o + 11. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 339845 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 f = -9 - -11. Let q(m) = 0 - 1 + 0 - f*m**2. Let x = -4 - -2. Calculate q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let i(x) = x**3 + 9*x**2 + x + 11. Let r be i(-9). Suppose 0 = -h*p + 5*z - 9, r*p - 3*z = -2 - 1. Which is greater: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/471 and -127\/1280706?\nAnswer: 201070842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(448)\/sqrt(4))**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {d: 1, c: 1, k: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5124 divided by -6?\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-30))\/((90\/24)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37880 and 297911048.\nAnswer: 7576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, 6, 355, 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*y + 3851 = 8*t, 5*y - 759 = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 - ((-1365100)\/(-250))\/(-73)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -19*t + 56. Let h be j(3). Which is the nearest to -1\/3? (a) -5 (b) 5 (c) h (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 3 in decreasing order.\nAnswer: 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161965709 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 1. Let l be ((-7)\/28)\/(((-9)\/12)\/3). Let m(y) = -13*y**2 - y. Let c(g) = l*m(g) - 6*k(g). What is c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43035 - -27.0774994.\nAnswer: -43007.9225006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b + 5. Suppose -2*y = -2*o, 2 - 22 = -o + 5*y. Let s(r) = 6*r - 3*r - 1 - 4*r. Let u be s(o). What is v(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 + 0*l**5 - 2*l**5 + (9*l - 9*l + 7*l**4)*(-61 + 10*l + 61).\nAnswer: 69*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*g - 17 + 17)*(1 - g - 1)*(-g - g + 0*g) to the form x*g**2 + o + p*g**3 + m*g and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108643 + 391658011\/3605. Is q <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*g + 8*j - 5445, -1086 = g - 4*j. Let x be 3\/18 + g\/(-12). What is the third derivative of -91 + 4*l**4 + x + l**2 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198000 and 23700.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8537, 8543, 8549, 8555, 8561?\nAnswer: 8567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*f + 189*f - 9800 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080103540.\nAnswer: 2, 5, 89, 2292193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11601 - 7952. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (226 + 290 - 409 + 5 - 3 - 1 + (3 - 3 + 1)*(4 + 2 - 4) + 0 - 4 + 2 + 1 - 5 + 0)*(0*j + 0*j - 3*j).\nAnswer: -312*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 6. Let w(j) = 4*j + 7. Let m be (0 - 0)*2\/4. Suppose -3*q + 15 + 3 = m. Let t(x) = q*w(x) - 7*h(x). Let n(o) = o. Give n(t(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -10 (c) 0.5 (d) 308\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, 276, -6, 0 in decreasing order.\nAnswer: 276, 5, 0, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -81, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 561 - 561. Solve -4*o - 3 - 17 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122010322 + 4032?\nAnswer: -122001240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.08. Let k = -7.08 + i. Let v = k - -11. Put 1\/2, v, -0.2 in increasing order.\nAnswer: -0.2, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*y + 1764*y + 1499*y = -169142 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + ((-36)\/135)\/(-1). Which is the nearest to o? (a) 4 (b) 2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-3)\/(-6))\/(3563\/691222)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 214092564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (2*(sqrt(76) - (sqrt(76) + 3) - sqrt(76)) + sqrt(76))**2.\nAnswer: 112 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32119251?\nAnswer: 3, 2753, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 12*k - 10. Suppose -2*o + 2*x - 18 = 0, 42 = -5*o + x + x. What is the least common multiple of 22 and w(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 15 = -4*u, 15*u + 3*j = 17*u - 11. Let i(g) = -7*g**2 + 134*g + 141. Let x(n) = -48*n**2 + 939*n + 987. Let k(w) = u*x(w) - 27*i(w). Solve k(c) = 0.\nAnswer: -1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 21*p**2 + 2*p + 17. Let y be k(-21). Let x be 16 + 40\/y*(-25)\/(-10). Solve -x = -3*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160488381?\nAnswer: 3, 17, 3146831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.16 (c) 4\/5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 59 = 6*a. Suppose 0 = -0*d + 4*d + 208. Let x = d + 74. What is the greatest common factor of x and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 1\/8*h**4 + 0 + 1\/120*h**6 + 1\/3*h**3 - 2*h**2 + 1\/12*h**5 + 0*h. Determine o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1023 (base 4) to base 9\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 84 = -6*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 60*r - 63*r + 22, -r + l - 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*v + 358*v + 2675*v**2 - 2714*v**2.\nAnswer: -39*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 826*z**3 - 827*z**3 + 0*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*q - 2)*(4 + 4 - 3) + (3 + 2 - 3)*(-1 + 1 - q) + (3 + 0 - 1)*(-58 + 127*q + 58).\nAnswer: 267*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 168*r - 62. Give g(-34).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2932 and 354133.\nAnswer: 351201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209 and 1146474516?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 4*l**2 - 4*l + 5. Let x(h) = -h**2 + h - 1. Determine -o(i) - 4*x(i).\nAnswer: 2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -47. Let j be 1\/h + 0 + -2. Sort 2\/11, -2\/17, j, -0.1 in decreasing order.\nAnswer: 2\/11, -0.1, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -270, -5, 4, 3, -18, 2, -2.\nAnswer: -270, -18, -5, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*h - 14 = 0, -4*h = -5*l + h - 20. Let t = 2 - 44\/21. Let v = 4\/7 - t. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 3*z - 3. Let s be f(-2). Let u(d) = -d**2 + 9*d - 10. What is the units digit of u(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 686060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 6. Let g be f(-6). Let y be 45958\/6*(-16)\/g. Let t = -5112 + y. Calculate the common denominator of t and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 176858.3 centuries?\nAnswer: 17685.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -138. Let d be j\/(3\/(-1)) + (-2)\/(-1). Are d and 28 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 9, 3, -1\/29659?\nAnswer: -1\/29659","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4204*n**2 + 16906*n**2 - 4204*n**2 - 4214*n**2 - 4226*n**2.\nAnswer: 58*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 2 = -16*v, 0 = -4*u - 3*v + 4505. Calculate the remainder when u is divided by 214.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 16 + 2761*k - 6 - 2 + 67*k**2 - 2763*k.\nAnswer: 67*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 54. 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 z(r) = 3*r + 1. Suppose -8*i - 2763 = -17*i. Let n(q) = -149*q + i*q - 157*q. Give -4*n(l) + z(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -171480 divided by -11432?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 6*q + 14974*d - 14975*d, -4*d + 60 = -5*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126537 is divided by 369?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-48)*2*-2*(-31136)\/(-11120)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 18*n - 19*n + 2*r, -r + 2 = -2*n. Solve -6*k - 10 = -2*k + 2*d, n*k = 5*d - 40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -3, 6, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -2, -1\/10, 0.2, 0.7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 39*o - 260. Let v(y) = 215*y - 1440. Let t(l) = 9*v(l) - 50*w(l). What is t(9)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(833) - (sqrt(833) + sqrt(833)*-1)) + -1)**2*1 + -5 + (sqrt(833) + (sqrt(833) - (sqrt(833) + -1)) + sqrt(833))**2 + 5 + sqrt(833)).\nAnswer: -20835 - 105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29310 by 14655.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1108 = -3*u + 2844, -2*d = -4*u - 1722. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11 - 4 = 0. Suppose -9 = -0*b + h*b. Let i(o) = -9 - 9*o**2 + 6*o**2 + 6 - o**3. Determine i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r - 8. Let b be c(-6). Let g = 40 - 38. Suppose -4*h - 16 = -n, -n + 0*n = 3*h - g. Calculate the highest common factor of b and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(720) + 0 + sqrt(720) - sqrt(720)) + 4 + sqrt(720) + 0 + sqrt(720) + (sqrt(720) - (sqrt(720) + -2 + sqrt(720) + -2)))**2.\nAnswer: 192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 50 = -7*p, 393*p - 396*p - 15*a - 240 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*p + 16. Let i(x) = 4*x**3 - 13*x + 13. Let y(o) = o**3 - 3*o + 3. Determine p*i(t) - 26*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*21.7685.\nAnswer: 21.7685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -4, 31\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1346.92, 1, -4 in decreasing order.\nAnswer: 1346.92, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21702049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.375 - -22.6. Let x = -0.125 + q. Let b = x + -5.0999992. Round b to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 3*k + 83 - 83 + (-2*k**2 - k**2 + k**2)*(-k**2 + 0*k**2 + 0*k**2) - 3*k + 3*k - 2*k**4.\nAnswer: k**4 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82538360 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5377*r**4 - 352*r**2 wrt r?\nAnswer: 129048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17280 and 3120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*f**5 + 216*f**4 - 288*f**3 - 465*f**2\/2 + 225*f\/2 = 0 for f.\nAnswer: -5\/4, 0, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 1\/21, 1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13249715 a multiple of 1607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52642\/5 - -10473. Let a = s + 55. Is 1 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 25*c + 695. Let a(o) = 2*o + 58. Let v(k) = 35*a(k) - 3*s(k). Let j be v(-11). Solve 0 = -j*d + 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0)\/(-21*2\/(-3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) 4.8 (b) 0.01 (c) 2 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 122*3\/6 + -1. What is the greatest common divisor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, -4, 2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2257, -2126, -1769, -1072, 79, 1798?\nAnswer: 4199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/6)\/(12\/18). Let r be (-164992)\/3*(f - 7). Suppose r = 5*w + 2*c, 16 = -2*c - 2*c. Round w to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21253*a + 3520 = 21317*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1327429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(1900) + -1) + sqrt(1900))**2 + (2*sqrt(76)*-2*-4)**2.\nAnswer: -600*sqrt(19) + 66992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 5*f - 3*n, 0 = -3*f + 3*n. Let z = 10 + -10.9. Let m = 0.1 - z. What is the nearest to m in f, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 1. Let s(o) = 7*o**2 - o - 5. Suppose -2*v = j + 13, 5*v + 25 = -2*j - 5. What is j*n(d) + s(d)?\nAnswer: 2*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 2.88.\nAnswer: 17.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - -111100011100110100?\nAnswer: 111100011101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.08 (c) 0.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*i - 137 - 149, 4*n - 71 = i. Is 2\/4*i*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6, -135*f + 132*f = -3*i - 27795. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -18.4. Let l = -400 - -403. Which is the second smallest value? (a) 1\/3 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*k - 6800 = -8*k + 9*k for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1664560.\nAnswer: 2, 5, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {f: 2, c: 2, t: 1, q: 10, g: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = i, 3*n - 6 + 0 = 0. Is (-1)\/(-2)*(-272)\/i a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 11, 5, 0.068, -0.1, -2\/17, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-21) - (-622452)\/(-28)) + -2. Let v = -3290 - m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -424332 (base 6) to base 2.\nAnswer: -1000011110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179421 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 0, 3 in descending order.\nAnswer: 4, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -3. Let y(f) = 2*f + 4. Let p be y(j). Is (-1)\/p - 134\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 747 + 389. Factor v*g + 5*g**3 - 285*g + 138*g.\nAnswer: 5*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -13*t**5\/5 + 18*t - 9. Let d(x) = -38*x**4 + 54. Let f(u) = 5*d(u) - 14*v(u). What is the derivative of f(w) wrt w?\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose -3*a + 836 = 2*c, 0*a + g*a = 5*c - 2128. Suppose 5 = 5*o, 4*v = 9*v - o - c. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-15)\/(-2)))\/((-32)\/(-120)). Sort -1\/9, p, -3, 6 in decreasing order.\nAnswer: 6, p, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66985000 to the nearest one hundred thousand.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/10 - (11 - -6). Is 310 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*b - 151937 + 8269. Calculate the remainder when b is divided by 486.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25 - -23)*(0 - (-86)\/(-4)). What is the third derivative of g - s + 24 - 42*g**5 + 19 + g**2 wrt g?\nAnswer: -2520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1641*-1.1.\nAnswer: 1805.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by -41\nAnswer: -249\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in hours?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a07d (base 14) to base 4.\nAnswer: 12333202033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -24*l**2 + l + 2. Let s = 31 - 42. Let g(q) = -122*q**2 + 6*q + 11. Let y(i) = s*j(i) + 2*g(i). Let b = 0 - -1. What is y(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35752 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/(s\/s**2))**22\/(s\/(s\/(s**(-2\/3)*s*s))*s**(-2)*(s\/(s*s*s**(-1)))**(-40)) assuming s is positive.\nAnswer: s**(398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5579 minus -0.05?\nAnswer: 5579.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-108)*8\/(-30).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30466 - 8456. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7104813 or 7104873?\nAnswer: 7104873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q + 6 = 52*q. Let v be ((-36)\/45)\/(8\/5 + q). Solve -v*z = -0*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f**4*(f\/f**5)\/f*f*f**(-2)*(f\/f**6*f**(-2)\/f)**(-2\/47) assuming f is positive.\nAnswer: f**(-78\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 330 = -5*h, -3*u - u = 3*h - 263. Suppose 2*s - 5 = 3*i + 22, 5*s - 5*i - u = 0. Solve k + s = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14089 - 3838 + 39057 = 2264*a - 26414 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbbymyybbbxmm. What is prob of picking 2 b and 1 y?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (-6 - 15) + (-5 + 18 + -19 - -13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t - 3. Let g(q) = -4*q + 2. Let d(f) = -5*g(f) - 3*j(f). What is d(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose 5*z = -2*h + 26, -h - 3*z + 23 = p*z. Let t(s) = h*s - 5*s - 2 + 0*s. Give t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + (-10)\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*201\/(-335).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.247398423 - -0.2474. Round b to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.4 (c) 0.3 (d) 1 (e) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l**2 - 6*l - 3*l + 240 - 6*l**2 - 6*l**2 with respect to l.\nAnswer: -4*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 282\/11, -4\/7, 0.4 in descending order.\nAnswer: 282\/11, 0.4, -0.3, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1318 + 981 + 741)*(2*d + 8 - 8) to the form w*d + h and give w.\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*a**4\/7 + 16347*a**3\/7 - 35340*a**2\/7 + 5436*a\/7 = 0. What is a?\nAnswer: 0, 1\/6, 2, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 2*o**3 + o**3 + 4*o**2 + 2 to the form m*o + f*o**2 + q*o**3 + z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1902*h = 2043*h + 1551 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**7*p))*p\/(p*p**(-2\/5)*p))**(-3\/11)\/((p\/p**(-1))**49*((p**(-1\/4)\/p)\/p)\/p*p\/(p\/(p*p\/(p*p**2)))) assuming p is positive.\nAnswer: p**(-21069\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 23225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/238*-24*-7*1\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -762 + 2182\/3. Which is bigger: h or -35?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*b = -3 - 7, -b = 2*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236*y**3 - 63*y**3 + 1477*y**2 + 3015*y**2 + 464*y**3 + 365*y**3 wrt y.\nAnswer: 6012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/(2\/(-36)). What is the remainder when 106 is divided by (-29 - -53) + (g - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/17)\/((q**(-2\/7)\/q*q)\/q)*q**(-2)\/(q**(1\/3)\/q) assuming q is positive.\nAnswer: q**(25\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/6643 - 66376\/179361. Let l = -1\/27 - j. Let f(a) = -a**2 + 9*a - 6. Let h be f(6). Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -25, -23, -19, -13, -5, 5?\n\"Answer: u**2 - 3*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/40 and -7\/144020.\nAnswer: 288040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2247 divided by 107\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 224142 - 8837. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a factor of 26623282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51\/3 + 16\/(-4). Suppose -2*b = 3*p - 80, 3*b + 105 = 4*p - s. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 4*b)*(2*b**2 - b + 0 + 0).\nAnswer: -4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 13 = 2*b, 4*b - 3*o + 13 - 44 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w - 33. What is the lowest common multiple of d(22) and 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 162.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(6))\/(sqrt(405)*2 + sqrt(5)) + (sqrt(648))**2 + sqrt(2) + 0 + 2.\nAnswer: 20*sqrt(2)\/19 + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -507327737, -507327735, -507327731, -507327725, -507327717, -507327707?\n\"Answer: n**2 - n - 507327737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x**21*x**(1\/3)*x**(1\/5)\/x assuming x is positive.\nAnswer: x**(218\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 956 * -1\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 17 = -2*u + 7, -a = -4*u - 30. Let f(b) = -b**3 - 7*b**2 - 5*b - 5. Let l be f(u). Suppose 3*p - 42 = l. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14348 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**3))**49)**(-3\/31))**(3\/32))**(-7\/3) assuming i is positive.\nAnswer: i**(-3087\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54318 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 6 = -4*u. Let s be ((-8)\/12)\/(2\/u). Suppose 2*z - s*z + 61 = 2*o, -4 = -4*z. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 + 69*o**3 + 429*o**2 + 363*o = 0. What is o?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) - (sqrt(132) + sqrt(132) + -1*sqrt(132))) - (-3*sqrt(132) - sqrt(132))*-1)\/(5*(sqrt(1200)*1 - sqrt(108)\/(-1*sqrt(9)))).\nAnswer: -4*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 5*o**2 - o + 6. Let u be x(5). Is (u + -39)*(-14)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192182*y - 192074*y + 384255*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16639, -33296, -49971, -66664, -83375?\n\"Answer: -9*j**2 - 16630*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -127 + 128 - 6*t + 5*t - 3*t**2. Determine f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*c - 18, 0 = c + 2*c. Is 2 a factor of 4*(-1)\/m*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1296970 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48d63 - -3?\nAnswer: -48d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/3, -7, 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1813 - -1820. Solve 7*j - d = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 7 - 9 + 4. Let u(r) = r**2 + 9 - 9. What is n(c) - 2*u(c)?\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4)*144\/(-60). Let p be (-1269)\/(-1890) - 4\/7. Let x be (-2 - 0) + 33\/15. What is the third biggest value in x, q, p, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 6, b: 2, e: 3, f: 1}. Give prob of sequence bb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 + 4*j + 3. Let g be t(-2). Let q = g + 12. Calculate the remainder when 42 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d - 25*d + 101*d**2 - 103*d**2 + 0*d + (24*d + 41*d - 13*d)*(-d + 2*d - 3*d).\nAnswer: -106*d**2 - 34*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*j + 88, -5*j - 166 = -9*q + 5*q. Let g = 335 - 205. Suppose 5*h = -0*h + g. Calculate the highest common factor of h and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671293*r**3 + r**2 - 56523 wrt r.\nAnswer: 4027758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 374, -90, -3 in increasing order.\nAnswer: -90, -3, 4, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**3*n)\/n**(-13)*(n\/(n*n*n**(-1\/5)))\/(n\/(n**(-4\/11)\/n)) assuming n is positive.\nAnswer: n**(816\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -19, -106, -281, -574?\n\"Answer: -5*g**3 + g**2 + 3*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(98) + -5)**2 + -5 + (5 + sqrt(64)\/sqrt(8) + 4)**2.\nAnswer: -34*sqrt(2) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 76, 269, 598, 1069, 1688, 2461?\n\"Answer: w**3 + 62*w**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3120 (base 4) to base 8\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -10*w**4 + 152086*w**3 - 576011754*w**2 - 17064685726*w - 6733702676 = 0.\nAnswer: -29, -2\/5, 7619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2) - 2\/(-4). Let q be -3 - 105\/(-12) - 2\/(-8). Let w = q - 10. Let j(v) = 4. Let i(c) = -c**2 - 1. Give h*j(t) + w*i(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*t + 15, 2*t = 4*v + 27 - 63. Let n(r) = r + r - r - 2 + v. Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12770.62um to millimeters.\nAnswer: 12.77062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*r + 16, -r - 3*i + 4 = -6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 139 = -3*d, 464*c - 454*c = 3*d + 64 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5513 + 5472.93. What is u rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -28 - -6 - (1 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6291 + 196. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 1408 - 14*i + 11*i + 1410.\nAnswer: -28*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 2. Let c be j(-1). Let t be (-7)\/28 - 21\/(-36). What is the closest to t in -2\/3, -17, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**4\/4 - 3*j**3 - 5*j**2 + j + 144. Let w be 40\/(-16)*1*-4. Calculate d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*t**3\/4 - 30837*t**2\/2 + 71826*t + 534144 = 0. What is t?\nAnswer: -4, 26\/3, 6848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 10)\/(-6) - -7. Let f(z) = -7*z**3 + 3*z**3 + 15*z**3 + j*z**2 - 10*z**2 + z**3. Determine f(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 452560\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a factor of 1073111011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -54.7 + 17\nAnswer: -37.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*o**2 - 1063*o**2 + o - o - 384*o**2 as a*o**2 + b*o + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) -1 (d) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -824390 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 15. Let v be x(-6). What is the greatest common factor of 36 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1812 + -1773 - (16 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*j - 26 = 3*j, -2*j = 8. Solve 7 = -k + u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256434 and 0.2?\nAnswer: 256433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 97. Let p = o + -56. Solve 0 = -p*t - 5*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:51 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(9\/7)*w\/((w\/(w**(-15)*w)*w)\/w)*w)\/(w**(2\/67)*w*w*w**(-2\/99)\/w))**46 assuming w is positive.\nAnswer: w**(-27176110\/46431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2 (b) -0.2 (c) -0.5 (d) -17004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1347?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b, -4*c + 2*c - b + 3 = 0. Suppose m - 152 = -c*m. What is the remainder when m is divided by 0*(-2)\/(-6) + 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-3)*7029\/142. Suppose 36 = r - 3*m, -2*r - 4*m + 35 = -57. What is the greatest common factor of j and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4853499.\nAnswer: 3, 7, 137, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {n: 7, q: 9}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4285512277 and 0.2?\nAnswer: 4285512276.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023181 to four dps.\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(20)\/sqrt(4) + 2 - (sqrt(245) - (1 + sqrt(245)))) + 6*sqrt(10)\/sqrt(2) + (sqrt(55) - sqrt(55)*1)\/sqrt(11).\nAnswer: -9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 98454, 98451, 98448, 98445, 98442?\n\"Answer: -3*w + 98457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(390)\/(sqrt(10)*1))\/(sqrt(72)\/sqrt(6)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6553, -12914, -19297, -25708, -32153, -38638, -45169?\n\"Answer: -k**3 - 5*k**2 - 6339*k - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 10, 13, 18, 25?\n\"Answer: w**2 - 2*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1320*z - 40238 = 430*z + 6098*z + 22258 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-12)\/(-51)) + -10. Solve 31*p = -c + 162 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -114*x - 94. List the prime factors of d(-22).\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104836?\nAnswer: 2, 26209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12593 and 399127939.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -2. Let h be z*(0 + 44002) + -2. What is h rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*d + 2686, -6667 = -22*d + 17*d - 2*l. Does 54 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*s - 23066 = 500*s - 513*s + 2908 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7589584 and 34700?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.008167 and 5?\nAnswer: 0.040835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**3\/3 - 3*q**2\/2 - 3*q. Let g be s(3). Suppose g*h - 3*m = m + 43, m = 3*h - 31. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, e: 3, o: 5, f: 5, y: 1}. Give prob of sequence efey.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 16 = 4*r, 6*k - 3*k + 2*r - 34 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrmrmcrrrircricih. Give prob of picking 1 r and 1 i.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -868793, -1737586, -2606379, -3475172, -4343965, -5212758?\n\"Answer: -868793*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 17 + 37 + 21*w as u*w + c and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4376 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -236 - -238.63. Let j = 2.57 - u. Put 0.02, 1, j in decreasing order.\nAnswer: 1, 0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 - y + 1. Let i be p(0). Let m be ((-2)\/(-3))\/((-4)\/(-18)). Suppose m*r - r - 10 = 0. Solve b + 0*b - i = -h, 0 = -3*b - h - r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, q: 7, p: 2}. Give prob of sequence pw.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -744*o + 24. Let m be p(-1). What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -204076538033 and 197?\nAnswer: 204076538230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -282411424172.\nAnswer: -282411424176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - v - 2. Let b(h) = -5*h**2 - 2*h - 3. What is -5*b(g) + 8*s(g)?\nAnswer: g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 28713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*a - 10 = 0, a = -2*y + 97 - 89. Solve 0 = -y*c - 2*l - 10, 2*c + 6*l - 8*l - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 4*u + 7*u)*(-2 - 3 - 3) + 5*u - 3*u - u + (6 - 3 - 2)*(3*u + 3*u - 4*u) + 0 + u + 0 to the form v + r*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 divided by -352?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 23*l + 4. Let r(j) = 36*j + 6. Let q(y) = 8*b(y) - 5*r(y). Let i(k) = k**2 + 5*k + 2. Calculate -3*i(n) + 4*q(n).\nAnswer: -3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -7935.\nAnswer: 325335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -2) + (-50 - (-12 + 14)) - -13 - 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 3:24 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -427*(-14)\/245 - 2\/5. Solve -i*l = -22*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(288)*-2 + sqrt(288))**2*3*6.\nAnswer: -10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.4, 0.2, -0.5, 0.4, 81?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -13312313?\nAnswer: -13312303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39245*a**2*m**2 - 104*a**2*m + 8*a**2 + 2*a - 2*m wrt m.\nAnswer: 78490*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuuwuuupuuwpruwnuuu. What is prob of picking 1 u and 1 n?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t**2 + t + 2. Let u be d(2). Suppose 4*z = 4, 0*z = u*a + 4*z - 24. Let k = 8 - a. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.1 - -23.0777. Let f = n - -0.02. Round f to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -26*y**2 + 362*y - 1829. Give q(5).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 12) to base 9.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 2.68928846018?\nAnswer: 2.98928846018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*b = -2126, -5*s + 280 = 3*b + 2940. Let u = 753 + s. Is 42 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v - 18. Let k be z(3). Let m be (-3 - 1)\/((-12)\/k). Solve 1 = -m*g + 2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 11*l - 26*l + 5*l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92234762?\nAnswer: 2, 179, 257639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2277 + -2272. Sort -32, 0.07, p in increasing order.\nAnswer: -32, 0.07, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 644*u - 1012. Let c(o) = -9*o + 2. Let j(r) = 6*c(r) - l(r). Find the first derivative of j(n) wrt n.\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*r + 31*r**2 + 28*r)*(2 - 1 + 1)*(-6 + 5 - 1).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 6 = 5*w, 236*w - 242*w - s = -14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -179442*a. Let j(w) = 722*w**2. What is j(u(q))?\nAnswer: 23247989444808*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 138 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) 4.4 (c) 50 (d) 0.1 (e) -2\/5 (f) -0.1 (g) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100011012 - -1?\nAnswer: 100011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g - 24. Is u(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 3233, 1339 in decreasing order.\nAnswer: 3233, 1339, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = w + 2*c, 4*w + 4*c - 229 = -41. Solve 21*b + 8 - w = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 - 0\/2). Suppose 4*d - 5 = -d - 5*x, -8 = -2*d + 4*x. Suppose j = -m + d + 45. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 4*o + 4*o + 14 + 5*o. Let v be n(-6). Suppose -10 - v = -4*a. Solve 0*y = -3*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from ddpjpdjjdjppjpp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -684*k - 194829. Give s(-285).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832982213.\nAnswer: 3, 610994071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(720) - sqrt(720)*-2) + sqrt(720)) + (((sqrt(320) + sqrt(320)*2)\/sqrt(8))\/(sqrt(24)\/(sqrt(15)\/sqrt(5))))**2.\nAnswer: 45 + 204*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7))**2*6 - (sqrt(77)\/(sqrt(1584) - sqrt(11)))**2.\nAnswer: -48*sqrt(7) + 16691\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -18, -4, 0, -6, -9, -5 in decreasing order.\nAnswer: 0, -4, -5, -6, -9, -18, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29295 is divided by 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a microsecond in nanoseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-7) + 7\/((-637)\/(-26)). Let x(w) = w**2 - 6*w + 2. Let j be x(6). What is the derivative of 16*s**3 - u - 4 - 6 + j wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 37*t**2 + 15*t + 40. Let j be o(5). Calculate the greatest common divisor of 650 and j.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 214*l - 178. Let o(w) = -71*w + 60. Let c(b) = -7*o(b) - 2*q(b). Suppose 5*z - 2*d = -4*d + 31, -5*d + 4 = 2*z. Is c(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2705995 litres in millilitres?\nAnswer: 270.5995","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17368 and 3504328?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 8*m**2 - 11*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -186*v + 184*v + 5*x + 41990, 3*v - 2*x = 62952. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 11. Let v(x) = -7*x + 9. Let k(b) = -7*c(b) - 6*v(b). What is the first derivative of k(i) wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, j: 4}. Give prob of picking 1 u and 1 j.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 681\nAnswer: -1\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 121*d**4 + 1596 - 1596 + (-d - d + 3*d + (1 - 2 + 0)*(-4*d + d + 4*d) + 0*d + 0*d - d)*(0*d**3 + 2*d**3 + 4*d**3).\nAnswer: 115*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -48 + 12*z**2 - 6*z**2 + 17*z + z**3 + 16*z**2. Let y be (-36 - -71)*3\/(-5). Let w be f(y). Calculate the highest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6132 and 840.\nAnswer: 61320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by -252.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9526*f + 1677. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = i + 38, -3*i = -5*l - 46 + 6. Let p = l - -11. Suppose 4*s - 8*s + 40 = p. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -200 (c) -1.3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1460\/3 - -4465\/9. Let b = f - 16\/9. What is the common denominator of -6 + 3 - 3\/(-9)*-65 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545664 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*b - 262*b - 40612 = 0. Does 67 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036132 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 10:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 2. Suppose y = 3*g - 19. Let w = 21 - g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110517 is divided by 327?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377234 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*k**3\/2 - 515*k**2\/4 + 55*k + 245\/4 = 0. Calculate k.\nAnswer: -1\/2, 1, 49\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 0.8. Let g(i) = -8*i - 10. Let w be g(13). Let b be 0 - 1 - w\/102. What is the third biggest value in b, j, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - q)*(2 - 3 - 1) + (-4 - 7*q + 4)*(2 + 0 - 3) + q - 4*q + 6*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000478 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 98 (base 10) to base 13\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 2:17 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*5 + (2 - 4). What is the second biggest value in -2, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13609781 and 1963?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1000110010100010?\nAnswer: -1000110010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (646\/(-136))\/((-6)\/(-12)*(-1)\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**12*m)\/(m*m**3))**29 assuming m is positive.\nAnswer: m**(-406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -311078.6 times -0.047\nAnswer: 14620.6942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6007 is divided by 603.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*r = -6*o + 28, -5*r = -5*o + 50. Let j(q) = 4*q**3 + q**2 + q. Let c be j(-1). Let i = o + c. What is the second biggest value in 1, i, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2) + (7 + 1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/683452 and -11\/19020.\nAnswer: 10251780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:02 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 16*w - 4442 = 14*w, 5*w = -4*q + 8878. List the prime factors of q.\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.7. Let p = 637\/304 - 31\/16. Let s = p + 36\/133. Which is the third biggest value? (a) s (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19575 and 19575.\nAnswer: 19575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-54)\/(-3) + 0\/1. Suppose -3*p = 3*s + 27, s - t = -5*p - 59. What is the common denominator of (-4)\/p - 130\/(-4) and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, 0 in descending order.\nAnswer: 3, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - 55*w + 200. What is the remainder when 260 is divided by g(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 v when four letters picked without replacement from vfvvfv?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*s**2\/7 - 93836154*s\/7 - 37534464\/7.\nAnswer: 3*(s - 6255744)*(5*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 210155 (base 7) to base 5\nAnswer: 2123404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 4*d**2 - 4*d**2 + 5*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 5, -577.43, -2\/3, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - r - 4. Let y(t) be the second derivative of -5*t**3\/6 - 15*t**2\/2 + 12*t - 2. Let g be y(-4). What are the prime factors of d(g)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**7\/40 - h**6\/24 - h**5\/20 - 5*h**3\/3 - 26. Let m(l) be the third derivative of g(l). Factor m(c).\nAnswer: 3*c*(c - 1)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011227 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*2*3) + sqrt(119) + sqrt(119) + (sqrt(119) - 4*(-1*sqrt(119) - sqrt(119))))\/(sqrt(224)\/sqrt(2) - sqrt(84)\/(1*sqrt(12))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-12))\/(5*(-6)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -665.1811567904 and -1.\nAnswer: -666.1811567904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167704\/11 - -15246. Which is the closest to -4? (a) -2 (b) -3\/7 (c) h (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 2\/11, 9877, -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(228) + 2*sqrt(228)) - (sqrt(228) + ((sqrt(228)*3 + sqrt(228))*-1 - sqrt(228)) + sqrt(228)))\/((1*sqrt(120)*-1)\/(sqrt(160)*1)).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -679 - -687. Solve 4*h + 3*y = w, 0 = 2*h - 5*h + 3*y - 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-13 - 12) + 2 + 4) - 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 15358?\nAnswer: 15358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/(-80))\/(1056\/(-400)) and -29\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = -10*n + 10328 + 2644. Does 94 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -674, -1037, -1418, -1823, -2258, -2729, -3242?\nAnswer: -3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 21*r + 3. What is the remainder when 12 is divided by d(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -882 = -150*t + 87*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**3 + 79*p**2 - 15*p + 12. Calculate d(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.042239 to two dps.\nAnswer: 5.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*y = -6 + 38, -5*y - 10 = 0. Let d = -37 - -59. What is the third derivative of d*p - l*p + 2*p**4 - 4*p**2 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16270592 divided by 128.\nAnswer: 127114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -58598, -58595, -58592, -58589, -58586, -58583?\n\"Answer: 3*u - 58601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 5\/4, 3\/5, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b + 19*b + 45 + 26*b - 45 + 22*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 13 = -2*p. Suppose 5*j + 0*j - 3*k = 55, 2*k + 18 = 2*j. Suppose -j = p*m - 18. What is the third biggest value in -4, -0.4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65325.6 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/5 - 9*l**2\/5 - 12*l\/5 + 36\/5 = 0.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let v(w) = -12759*w. What is x(v(k))?\nAnswer: -12759*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*i + r, r + 27 = 3*i - 2*r. Solve -o + i*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:24 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (19 + -3)*1. What is the remainder when (-24)\/16*64\/(-3) is divided by l\/(-5)*40\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11026061 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56294\/15 + 3753. Put -3, v, 4, -0.5, -0.2 in ascending order.\nAnswer: -3, -0.5, -0.2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 895323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20032 and 1268902.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 4*f. Let a be g(3). Let h be (1 + 3\/a)\/2. Let u(l) = l**2 + 5. Calculate u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let u be t(2). Suppose -u*r + 12 = r. What is the lowest common multiple of ((-8)\/(-20))\/(1\/5) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = -4*w + 104. Let v(n) be the first derivative of -4\/3*n**3 + 1\/2*n**w + 8 + 0*n + 0*n**2. Find the third derivative of v(j) wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -3, 53210 in descending order.\nAnswer: 53210, 2\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3 + 1600\/(-530)). What is the closest to c in -3, 1, 4, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:26 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171434000 rounded to the nearest one million?\nAnswer: 6171000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o**2 + 0*o)*(2*o - 2*o - 2*o**3) + (362*o**3 - 731*o**3 + 364*o**3)*(0*o**2 + o**2 + o**2).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3276 = -2*k - 4*n, 593*k - 2*n - 1602 = 592*k. What is the smallest common multiple of k and 30?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 0 - 314041*a + 313925*a + 5 as v*a + y + t*a**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031111 to 3 dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 11\/1405, 5, 2\/11, 2\/13?\nAnswer: 11\/1405","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2696 in 5, 11, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:21 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2*sqrt(891) + sqrt(891) + -5)**2 - -3*(2 + sqrt(891))) + -4).\nAnswer: -16092 + 486*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u + 2. Let s be f(0). Suppose -s*j + 4*w = -w - 17, 0 = 4*j + w + 21. What is the common denominator of -57\/2 and j + 2 + 91\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7877625 and 7050.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -148. Is 54 a factor of (y - 2\/(-11)) + 165708\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2) + 0)*-10. Let r(p) = -6 - s*p + 5 - 5*p - 6 + p**2. Calculate r(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/25649 and -5\/7892.\nAnswer: 102596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/340 and (-46)\/(-69) - 4\/((-1224)\/(-343)).\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933468 divided by -5?\nAnswer: -933468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 609410245 or 609410246?\nAnswer: 609410246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t**3 + t + 2. Suppose 3*a + p = 5*p - 4, -2*a = -p + 6. Let k(y) = y + 5. Let v be k(a). Determine g(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*n + n - 7, -2*n - 2 = 0. Solve -2*q + 1 = 3*i + s, 3*i + 3*q = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 3*z + 2. Suppose 0 = -9*t + 48 - 12. Suppose -8 = -2*g + 3*u - 2*u, -t*u - 24 = -4*g. Calculate the remainder when 93 is divided by m(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*c - 3*o = 123*c - 64275, -2*o + 21425 = c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*(p*p**(-5))\/p*(p\/(p**(-4\/7)\/p*p))\/p**1)**(1\/42))**(3\/32) assuming p is positive.\nAnswer: p**(-19\/1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 114\/99 + (192\/88 - 2). Let k(l) be the second derivative of -11*l + 0 - 1\/6*l**4 - n*l**3 + 0*l**2. What is the second derivative of k(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/f**2)**27*f*f**(-3)\/f*f*f**(-1)\/f*f*(f\/f**3*f)\/f**(-6\/7) assuming f is positive.\nAnswer: f**(-337\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 + 9*d - 3. Let t be q(-9). Let u = t - 1. Calculate the remainder when 25 is divided by (-63)\/(-5) + u\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - -2.6. Let j = c + -3. Suppose -2*n = -7*n - 10. What is the closest to -1 in j, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 13 + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 2236006.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845433693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from iwddiidwidr.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21101452 + 1224?\nAnswer: 21103120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13250, -13251, -13252, -13253?\nAnswer: -13254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5194 + -5164.892. Let n = r + 0.892. Which is the nearest to -2? (a) n (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -802 + 1485. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/10)\/((-9)\/6). Sort k, 3, 0.3, 0.2 in decreasing order.\nAnswer: 3, k, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Let l(q) = 3*q + 2. Let u(y) = -4*i(y) + 2*l(y). Let p(g) = -11*g**2 + 17*g**2 + g**2. What is p(u(z))?\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 139*z**2 - 21*z + 140*z**2 - 2*z**3 + 2*z**4 + 11 - 23 to r + p*z**2 + t*z + k*z**3 + s*z**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 6*u**2 - 2*u + 6. Let a(j) = -2*j**3 - 5*j**2 - 2*j + 5. Calculate 6*a(o) - 5*m(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*s**11)\/(((s**(-3\/2)*s*s)\/s*s*s)\/s**(2\/121)))**(9\/8) assuming s is positive.\nAnswer: s**(9837\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y. Let x(s) be the first derivative of -7*s**5\/60 + 27*s**2\/2 - 18. Let m(f) be the second derivative of x(f). What is b(m(n))?\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x. Let a = -5 + 15. Let q = a - 12. Is 10 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43787 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/21 (b) -1.03 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-2\/3)*k)*k*k**(1\/6))**(-8) assuming k is positive.\nAnswer: k**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 6 - (-6 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 316?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u - 0*h + h, 4*u - 18 = 3*h. Solve u*d + 4*q - 4 = 1, 0 = -3*d + 5*q - 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9269560 to the power of 1\/2, to the nearest integer?\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 525500.6 millennia?\nAnswer: 52550060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h - 4*h + 2*h + (-4*h + 3*h - h)*(0 + 1 - 3))*(0*h + 0*h - h)*(-2*h**3 - h + h).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 19*u**2 - 48*u + 15. Let c be n(16). What is the first derivative of 11*s + 16*s - 284 + c*s - 24*s**3 - 38*s wrt s?\nAnswer: -72*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 9*l**3 + (-3*l**3 - 14*l**3 - l**3)*(-7 - 2 + 1).\nAnswer: 153*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -70461 != -70464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44421 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2)*g*g)**5\/((g**(3\/5)\/g)\/(g**(-2\/15)\/g)))**(1\/30) assuming g is positive.\nAnswer: g**(32\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -20001 (base 3) to base 15\nAnswer: -ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-375)\/20)\/((-3)\/(1 + 11)). Let u = j - 6. What is the highest common divisor of u and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 10*k + 2 + 12*k - 18*k.\nAnswer: 20*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 513631058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-50)\/(-150) - (-194)\/(-42))\/(290\/70). Let f be (-5 + 2)\/((-6)\/(-4)). Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 72*u + 84. Let g(b) = -150*b - 169. Let y(t) = 2*g(t) + 5*j(t). What is the remainder when 245 is divided by y(0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2043*h**3*l**3*o*w - 125*h**3*l**3*w + h**2*l**3*o*w - 2*h**2*l**2*w - h*l*o + 3*h*w - l**3*o*w + 66*l**2*o wrt h.\nAnswer: 12258*l**3*o*w - 750*l**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 8*h**2 - 7*h - 2. Let i be l(-7). Let v be 2 - (-9)\/(-3) - i. Let m be 1*(0 + 1 - v). Solve m = b - 4*b - 15, 14 = -3*z - 4*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 752784 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392.045 weeks in minutes?\nAnswer: 34191813.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 - 0) + 3)\/((-5)\/(-15)). Suppose 2*r + 5*n - 475 = 0, -w*r - n + 611 = -121. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 437 + -429. Solve 0 = 3*m + z*m - 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 2*r - r)*((1 - 2 + 2)*(8 + 3 + 3) + (-2 + 2 + 3)*(37 - 21 - 23)) to k + o*r and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/9 or 6\/249943?\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 60 = -s + 5*h, 12 = s + 2*h. What is the highest common factor of 132 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1419 - -1422. Which is the nearest to 0.1? (a) h (b) -0.5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 9. Let j be w(2). Let v be (-7 - j)\/(-1 + 3). Put v, -2, -3, 1 in ascending order.\nAnswer: -3, -2, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-6))\/(9\/12). Suppose -m*v = -p - 3, 5*v = p + 2*p - 5. Suppose v*k + 0*k = 2*z + 16, -3*z + 6 = 2*k. Solve 6*h - 3*h - k = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253112\/9 + 28124. Suppose 0*f - 20\/9*f**2 - i*f**3 + 0 = 0. What is f?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*f + 16, -5*m + 32 = 3*f + f. Let t be (m\/(-4))\/((-4)\/(-6)). Let i(h) = h**3 + 4*h**2 + 2*h + 2. Let l be i(t). Solve 0 = l*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910232 is divided by 2646?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1\/((-1)\/(-9)*1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, h: 2}. What is prob of sequence hh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 43 = 7*p. Suppose 0 = -p*l + 146 + 302. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 + 18*n**2 + 9*n - 8. Let v be j(5). Let f(l) = -l**3 - 12*l**2 + 13*l + 16. Calculate the smallest common multiple of 76 and f(v).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*f - 4, 4*s - 24 + 28 = 5*f. Solve -10*t + 8*t + 8 = f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 502328012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(350)\/(sqrt(175)*-4))\/((sqrt(70)*2)\/sqrt(7) - (sqrt(10) - (sqrt(360)*1 - sqrt(360)))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 76, 123, 208, 343?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 0, r - 68 = -4*r + 2*p. Let t = r - -16. Let k = t + 65. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1230 and 55?\nAnswer: 13530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**5\/5 - 25*c**4\/16 + 11*c**3\/6 + 7*c**2\/8 + 71. Factor s(k).\nAnswer: -k*(k - 1)*(k + 7)*(4*k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-20))\/((-28)\/(-16)*96\/(-420)*-1)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**6 + 2029*g**5 - 6*g**3 + 74*g**2 + 168*g - 2?\nAnswer: -120*g**3 + 121740*g**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 79 - 41)*(5 - 28 - 46)*(1 - q - 1)*(-2*q**4 - q**4 + q**4).\nAnswer: 10902*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/19 (c) -5\/6 (d) 4 (e) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 + 19 = 0. What is the remainder when 46 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21325 is divided by 344.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2. Let u(w) = -13*w**2. Let s(k) = 495*k**2. Let z(x) = 2*s(x) + 77*u(x). What is z(b(n))?\nAnswer: -396*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -11*t**8\/28 - t**5\/10 + t**4\/6 + 16*t**2 + 403*t. Find the third derivative of h(p) wrt p.\nAnswer: -2640*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2\/7 - 20*j - 2256\/7 = 0 for j.\nAnswer: -12, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5652 (c) -3\/5 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, u: 3, x: 3}. What is prob of sequence xi?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28233.\nAnswer: 3, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g**3 + 106*g**3 - 196*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/672)\/(8\/32)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - b**4 + 1 + 392*b**3 - 2*b**2 + 2*b**4 - 394*b**3 in the form n*b**2 + f*b**4 + w + a*b + d*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 3*m**2 + m + 4. Let b be y(-3). Let o(g) = -2*g**2 + 2*g - 1. Calculate o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4753 = 6*g - 5*g + 2*i, 3*i = 2*g - 9499. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -1. Suppose -l = 4*m - 10. Suppose -30 = -5*d + 3*d + 5*y, -2*y + 16 = m*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8346768?\nAnswer: 2, 3, 173891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**3 + 17*v**2 - 27*v + 7. Let y(p) = -4*p**3 + 9*p**2 - 14*p + 3. Let q(n) = 3*l(n) - 5*y(n). Factor q(k).\nAnswer: -(k - 3)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -229 and -0.4.\nAnswer: -229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319245 by 3.\nAnswer: -106415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 1. Let m = -1 + -2. Let t(w) = 12*w - 47. Let f(k) = -4*k + 16. Let v(x) = m*t(x) + y*f(x). What is the derivative of v(d) wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-5 - -9) + -1 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -24. Calculate the smallest common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -365?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 8*o - 2. Suppose 3 = 4*l + 3*m - 2*m, -15 = -5*m. Suppose 0 = c + 7 - l. List the prime factors of g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 2*y**5\/15 - y**2. Let s(h) be the second derivative of -5*h**4\/12 - 1227*h. Calculate s(f(q)).\nAnswer: -320*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 3 + 3. Let k(g) be the second derivative of -g + 0*g**2 + 0 - 1\/3*g**3. What is k(f(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 10*y - 4. Let f be d(-9). Let a be 4 + (1*-2)\/1. Let o be -8*1\/((-2)\/6). Solve f*v + o = 2*r, a*r - 2*v - 7 = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 - -163.02. Sort -5, -3, q in descending order.\nAnswer: q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15326 + 0?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9484\/13 + 730. Let p = -21 + 22. Is p bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 727990 and 5678322.\nAnswer: 28391610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((338\/16)\/(-13)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -225.3.\nAnswer: -112.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i - i**2)*(-3 + 2 + 29) as y + g*i**2 + c*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**4 + i**3 - 5*i - 1. Let d(x) = 11*x**4 + 118*x**3 - 249*x**2 + 150*x + 5. Let n(y) = -d(y) - 5*g(y). Factor n(l).\nAnswer: -l*(l - 1)**2*(l + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -530575 and -0.0184.\nAnswer: 9762.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3055 and 7\/5.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -809, -812, -815, -818, -821?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 18 = 2*s, 9*s - 23 = -5*n + 6*s. Suppose 5*v - n*m = 872 + 473, 4*v = -3*m + 1076. Calculate the remainder when v is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.4, 3\/2, 5.\nAnswer: -0.4, 3\/2, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45187 * -4.\nAnswer: -180748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*x - 50, -4*x + 9*x = 2*p + 35. Let q = -14 - p. Let w(o) = -8*o - 1. What is w(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 + -0.23. What is the nearest to -2\/7 in -1, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 807 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -a798635?\nAnswer: -a798631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/15 - 14*o**4\/3 - 11792*o**3\/5 - 279136*o**2\/15 - 111104*o\/3 = 0 for o.\nAnswer: -112, -4, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-16)*(-2)\/(-22)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 18*n - 55. Let g be y(-21). Solve -g*w - 24 + 0 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggbfddbf. Give prob of sequence gf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1012392*z**3 - 93007.\nAnswer: -3037176*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2\/3 - 3904*t\/3 + 74420 = 0?\nAnswer: 61, 915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2275800, -4551601, -6827402, -9103203?\nAnswer: -11379004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52580000 rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 3:56 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53663*j - 14*j**2 - 53663*j - j**3 to the form g + f*j + w*j**3 + s*j**2 and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**6\/420 + i**5\/70 + i**4\/42 - 9*i**2. Suppose n(o) = 0. What is o?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9345650 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -8*d**4 - 571*d**3 + 478674*d**2 - 1252440*d = 0.\nAnswer: -284, 0, 21\/8, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20271888 divided by -39.\nAnswer: 519792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 469 divided by 1.\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 107 times 0.5\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65559618 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.281 (b) -14\/165 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose -r = 5*r + 1098. Let q = -174 - r. What is the remainder when q is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881291039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 10:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*z**2\/3 - 230*z\/3 + 24.\nAnswer: (z - 4)*(53*z - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + 1 + (11 - 31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d + 4. Let f be k(5). Suppose f*j + 5*b + 9 = 0, 14 = -4*j + 4*b + 50. Suppose 22 + 22 = 5*v - m, -4*m = -j*v + 48. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/387, -0.3, -2\/11, 1462, -1 in ascending order.\nAnswer: -1, -0.3, -2\/11, 2\/387, 1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j - 217. Let a be g(31). Suppose -2*h - 6*d + 11*d = -1913, 5*h - 4*d - 4791 = a. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 5, -0.4, -0.5, 53 in ascending order.\nAnswer: -0.5, -0.4, -1\/8, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14255826 by -6.\nAnswer: -2375971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-14 - -10)) + (0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 2. Suppose -78 = -5*p + 102. Calculate the highest common divisor of q and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 - 18 = 0. Let k = 388 + a. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 7. Let i(o) = o**2 + 10*o - 3. What is the remainder when 11 is divided by i(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53035 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 465.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100 (base 2) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*t + 29 = 0, 6 = -5*t + 26. Suppose u + 464 = b*r, -3*r - 3*u + 155 + 301 = 0. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -488035.32 + 488037.31000322. Let v = 464 - 462.01. Let k = y - v. Round k to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -17*w**4\/12 - 5*w**3\/6 - 4*w**2 - 9. Let u(b) = b**3 + 7*b**2 + 5*b - 8. Let c be u(-6). Is q(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 3. Let l(b) = 6*b - 28. Let v(z) = 18*g(z) - 2*l(z). Let y(q) = -q - 3. Let m be y(-4). Let k(n) = -n - 1. Let j be k(m). What is v(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 22*a - 19. What are the prime factors of r(10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.675, -2, 37, 69?\nAnswer: -1.675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4930283727 + 19308.\nAnswer: -4930264419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -160e61?\nAnswer: -160e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05494 and -31663936.\nAnswer: -31663935.94506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -3496?\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 - 6*g**4 - 3*g**3 + 6*g**2.\nAnswer: 3*g**2*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 42\/(-15))\/(2\/(-10)). Let j(s) = 2*s - 2. Determine j(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 748 - 748. Suppose -21*s + 16*s = -60. Solve b + 11 - s = v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 26*m**2 - 146*m - 252. Give k(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from siiisiiiiis.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 1, h: 2, o: 6, f: 3, j: 3}. Give prob of sequence ooo.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395161 (base 12) to base 13.\nAnswer: -26c9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = t - 1, -t - 4*g + 6 = 7. Suppose x = -5*i + 10*i + 544, -t*x + 1572 = -3*i. List the prime factors of x.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1154 - 1134. Solve -5*u + t + 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134208 and 2799.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -152*h - 2880. Does 120 divide m(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 24 + -24 - ((0 - 2) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*1\/(-2)*(1 + 0). Let j = -0.043 - -0.013. What is the closest to 1\/3 in p, -0.5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.57 - -0.07. Let p = 0 + k. Let j = -1 - p. What is the third smallest value in -1\/6, j, -3\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.389249um in meters?\nAnswer: 0.000000389249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074 divided by -6489?\nAnswer: -194\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 3*w, 5*m + 5*w - 7 = 3. What is the second derivative of -5*l + m*l**2 - l**2 + 7*l + 2*l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58048 (base 12) to base 9\nAnswer: -188232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:21 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 193100593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2. Let m(y) be the first derivative of -13*y**3 - 2. What is w(m(t))?\nAnswer: 3042*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -28. Let d(a) = -7*a**2 - 6*a + 17. Let f(h) = h**2 + 2*h + 2. Let v(b) = -d(b) - 3*f(b). Is v(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7737a (base 11) to base 4\nAnswer: -123121332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889748 is divided by 49730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10810920 a multiple of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**2 + 14*b**2 - 26*b**2)*(31*b**3 - 11*b**3 + 7*b**3).\nAnswer: 54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3188*d**2 - 3146*d**2 - 3199*d**2 + 13016*d**2 - 2991*d**2.\nAnswer: 492*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 = 4*t, 3*t + n + 0 = 11. Suppose -f = f - 5*i, 0 = -t*f + 4*i + 17. Suppose -3*b + l + 1 = -4*b, -15 = -f*b - l. Solve -2 = b*o + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*w = 90*w - 950. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15738 and 1032?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*r + 111. Suppose z + 4*p - r = 31, -2*p = 3*z - 197. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:57 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 836*t + 832*t + 81*t + 739*t - 2491*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.15. Let l = y - -0.04. Let g = -6935 - -62413\/9. Do g and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 10*l**2 + 35*l + 54. Let i be g(13). Suppose 0*b = i*b. Solve 4 = 2*r - 2*j, j + 4*j - 15 = b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679\/(-28)*(-2 + -146) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 605*r + 3 - 1499*r.\nAnswer: -2104*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 27*d + 286. Solve -32 = -2*x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 50*b**2 - 158*b - 210.\nAnswer: -2*(b - 21)*(b - 5)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408862 is divided by 136286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z**2 - z - 2. Let t be c(-2). Let r = t - 31. Calculate the greatest common divisor of 63 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 5*k - 3*k**2 + 0*k)*(1 - 4 + 2)*(2 + 1 - 2).\nAnswer: -2*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-53)\/25 + 2)*(-30)\/12. Let r(s) be the third derivative of 9*s**3 + 1\/60*s**6 + 0 + 9\/4*s**4 - 2*s**2 + p*s**5 + 0*s. Factor r(n).\nAnswer: 2*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -63812 divided by 742\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let u(s) = -7036*s**2. Determine g(u(k)).\nAnswer: -49505296*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260394 is divided by 1540?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 2*z = -4*z + 360, -5*u + 210 = -417*z + 412*z for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/117*-18)\/(31\/2)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994, 1824, 2654, 3484?\nAnswer: 4314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 13*b. Let l be i(-7). Let m = l - 74. List the prime factors of m\/(-8)*312\/9.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389673 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -3\/8, 26, -1\/2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220150 is divided by 219888?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57899.\nAnswer: 57899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(30) + sqrt(30) + sqrt(120)*1 + sqrt(120) + sqrt(30) + sqrt(30)))\/((sqrt(90) - sqrt(90)*-2)\/sqrt(9)*6).\nAnswer: -20*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31305 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005584660189 rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3633*k**3 - 7270*k**3 + 3638*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 2, g: 2}. What is prob of picking 1 l and 2 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evfehwl. What is prob of sequence lh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4831\/4 - -1208. Put 1\/6, 3\/5, 5, j in ascending order.\nAnswer: 1\/6, j, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -48. Solve -2*r - 4 - 2 = h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 1269\/(-135)) + 58\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-45) + (-198)\/45 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/84 - 13\/21)\/(-2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21895457*4.\nAnswer: 87581828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*f**2*u + 587620968*f**2 - 10*f*u - 140769*u wrt u.\nAnswer: -21*f**2 - 10*f - 140769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 - -193.89. Let x = h - -0.11. Let o be 1 + -4 + (-2)\/(7\/(-7)). Which is the nearest to -2\/3? (a) o (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 18*g**2 - 2*g - 2. Let z be j(-1). Let i be (z\/3 + -2)*4. What is the greatest common divisor of 176 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {t: 5, k: 9}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94518 - -79?\nAnswer: 94595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(84)*-1 - sqrt(84)) + sqrt(84) - (sqrt(84)*3*6 + sqrt(84)))\/((sqrt(12) + 2*sqrt(1728) - (sqrt(12) - sqrt(768)*-1))*-3) + 0.\nAnswer: 5*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -846 + 844.9. What is the second biggest value in -3, -1\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0726 in 27, 1\/11, -3, 0.2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 7, b: 6, q: 4}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-7) - ((-54)\/(-42))\/(-3). Put 0, q, -3, -84 in decreasing order.\nAnswer: q, 0, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1266, -1275, -1302, -1359, -1458?\n\"Answer: -2*z**3 + 3*z**2 - 4*z - 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(720) + sqrt(720)*-4)**2 + sqrt(720) - (sqrt(720) - 4*(sqrt(720) - sqrt(720)*-4)).\nAnswer: -38880 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*v - 1877 + 1877)*(-4 + 2 + 3)*(2 - 2 + 1)*(-2 + 2*v**2 + 2).\nAnswer: -196*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*f - 9*f + 13*f)*(-3 + 5 - 4) - 83*f + 38 + 46 - 83.\nAnswer: -119*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 147 = -87. Let l be 12\/20 + 36\/t + 0. Solve g + 3*o - 8 = 0, -l*o - 5 = -5*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyiiiyy. What is prob of picking 3 i?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7219.61 - -7291. Let y = -71 + f. Let l = y + -3.79. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 759*l**2 + 1.\nAnswer: -759*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + v**2 + 3950*v - 6. Give s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {s: 1, q: 3, x: 7, h: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -0.2 (c) -5 (d) 784 (e) -6.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d*d**(-5))**(-28)*((d\/d**4*d)\/(d*d\/d**(2\/7)*d))**(1\/24) assuming d is positive.\nAnswer: d**(9397\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 10. What is the third smallest value in 0.1, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702806 and 2678.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -1\/15*m**6 + 0*m**3 + m + 0*m**2 + 0*m**5 + 1\/3*m**4 + 0. Find the third derivative of o(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s**2 - 23*s. Let c(k) = -7*k**2 - 15*k. Let f be (3887\/161 + -23)*7. Determine f*c(r) - 5*p(r).\nAnswer: -6*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 524*x**3 - 4*x**2 + 5*x**2.\nAnswer: -524*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34566431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7222, -15944, -24666, -33388?\n\"Answer: -8722*d + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 9*k**2 + 7*k**2)*(3*k**3 - 3*k**3 - 2*k**3) - 2*k**5 - 2*k**5 + 3*k**5.\nAnswer: -27*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 240 = 4*h, -6*h + 10*h - 354 = -3*p. Is p bigger than 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012021 (base 3) in base 11?\nAnswer: -722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 102488232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 5340?\nAnswer: 5338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9772\/3 + 3172. Let a = m - -86. Let h = -62 + 62.5. Is a smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*h - 51 - 6, s - 35 = 5*h. Suppose 3*k + 2*k = -s, -5*g + 180 = 5*k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -258*j + 17633. Calculate f(68).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 681 + -463. What are the prime factors of d?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1480, 2961, 4444, 5929, 7416, 8905?\n\"Answer: m**2 + 1478*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/9 + 111892*o**2\/9 - 1564305890*o\/9 - 6262595528\/3 = 0 for o.\nAnswer: -12, 27979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 430 + 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5464)\/4098 - (-1 + 11\/12). Let u = 1 - -4. Which is the nearest to 2? (a) r (b) u (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5*n*n**(-1\/2))\/(n**1*n**(3\/5)))\/(n**(1\/6)*n**(-1\/3)\/n)**(-27\/4) assuming n is positive.\nAnswer: n**(-159\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -34*b**3 + b**2 - b - 2. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -3*l**5\/20 + 5*l**4\/12 - 9*l**2\/2 - 29*l. What is the first derivative of w(z) wrt z?\nAnswer: -9*z**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 14) to base 12\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7271, -14488, -21705?\nAnswer: -28922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, n: 7, f: 2, v: 3}. Give prob of sequence vfbv.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98358 is divided by 2313.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*r - a - 14, 3*r - 6 = -3*a. Let i be 7 - r - (-8)\/((-6)\/3). Let v = i + 4. Solve 0 = 5*m + 4 + v, -2*c = -5*m - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 v when four letters picked without replacement from fnnvfvnvvnnvvvbv.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 14*p + 7. What are the prime factors of x(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41431040.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from gwwwggxggo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {z: 1, l: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n + 7 = 30*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-100535)\/(-10))\/(45\/(-2)). Let r = 2193\/5 + w. Calculate the common denominator of r and 31\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7274*n**2. Let l(p) = -p**2. Calculate l(x(q)).\nAnswer: -52911076*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 2. Let v(m) be the second derivative of -m**3\/3 + 11*m. Calculate v(u(n)).\nAnswer: 4*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1187225*b*x**3 + 2*b - 160865 with respect to x.\nAnswer: 3561675*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, -28, 0.\nAnswer: -28, -20, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1904 and -117\/784.\nAnswer: 13328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/7 - 4*r**2\/7 + 10*r\/7 + 12\/7 = 0. Calculate r.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 804281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 14\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 + 793 + p - 2*p - 440.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/11, 266 in increasing order.\nAnswer: 2\/11, 2, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -45, 3, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561 - 510. What is the remainder when k is divided by 4\/(12\/57) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 - 315. Suppose a - 151 = -3*b, 5*b - f*a + 43 = 6*b. Calculate the remainder when 712 is divided by b.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 - -1 - ((-1 - -6) + 14 + 55 + -67)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 30*l**2 - 27*l - 34. Let h be k(31). Let v be (1\/(-2))\/(9\/h). Put v, -4, -137, 4 in descending order.\nAnswer: 4, -4, v, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20715 = -16*u + 9125. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 51 - 71 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let t(x) = x**2 - 7*x + 7. Let c = -20 + 25. Let o be t(c). Sort o, q, -2 in descending order.\nAnswer: q, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1533776284 from 0.3.\nAnswer: -1533776283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576417.\nAnswer: 3, 271, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*j**5 - 34*j**4 + 9*j**3 + 1242352*j + 2 wrt j.\nAnswer: -880*j**3 - 408*j**2 + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88069 - 418*w - 88069 + 15*w**3 + 0*w**3 + 418*w.\nAnswer: 15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uiirrrrur. Give prob of picking 1 i, 2 r, and 1 u.\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2107 and 2666?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ye when two letters picked without replacement from {e: 13, p: 1, y: 1}.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*i + 226, 339 = 4*i - i - s. What is the remainder when i is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13241 to the nearest 100.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 13116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -428065330 divided by 35\nAnswer: -12230438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1, -473, 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14071705 + -0.4\nAnswer: 14071704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-6\/11)*i*i)*i\/i**5)\/(i**(3\/8))**(4\/23) assuming i is positive.\nAnswer: i**(-1781\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 = 4*o + 5*p, 10291*p + 458 = o + 10297*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400844.\nAnswer: 2, 23, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 117*d + 118*d - 43 = 0, 0 = -4*y + 4*d - 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -102, -399, -1230, -2865, -5574, -9627, -15294?\n\"Answer: -45*u**3 + 3*u**2 + 9*u - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8\/3 (b) -2 (c) -32 (d) -118 (e) 5 (f) 0.5 (g) -2\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:38 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, -1, -3\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6727481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2309.1 + 2309. What is the closest to -1\/43 in -0.2, v, -1.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*a - 98, 0*a = -a + 2*u + 69. Is a a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9093998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 + 11*h - 10. Let n be x(1). Find the third derivative of -19*y**2 - 4*y**3 + 45*y**4 - 50*y**n + 5*y**3 + 2*y**3 wrt y.\nAnswer: -120*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5494424 is divided by 1831469?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2949, -5897, -8845, -11793?\nAnswer: -14741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let j(f) = -2*f**m + 0*f**2 + f**2 + 17. Calculate the remainder when 32 is divided by j(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50b5b3 (base 12) to base 15.\nAnswer: 19e7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 + 2*v + 12. Let r be m(-5). Let t = 104 - r. Suppose t*c + 126 = 5*c. Calculate the greatest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 133072.\nAnswer: -13\/133072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 349339335\/8 > 43667418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - (-9)\/(-3)) + 2 + 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let j(l) be the first derivative of -l**6\/180 - 5*l**3 - 18. Let w(k) be the third derivative of j(k). Calculate w(z(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5336191?\nAnswer: 7, 41, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*g + 8, 2*d + 5*g = -2415 + 2407 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186518, -746052, -1678580, -2984078, -4662522?\n\"Answer: 4*n**3 - 186521*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/5)\/s*s**(2\/3)*(s*s**9)\/((s*s**(-1\/4))\/s)*(s*s\/(s*s\/(s\/s**(2\/3)))*s*s)**(-26)*s*s**4*s*s**(-8) assuming s is positive.\nAnswer: s**(-1059\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25 + 9)*(-130)\/8. What is the greatest common factor of 572 and v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 2*o)*(o**3 + 3 - 3) + 0*o**4 + 4*o**4 - 3*o**4 - o**4 - 3*o**3 + 3*o**3 + 7*o**4 + 7*o**4 - 5*o**4 + (o**3 - o**3 + 2*o**3)*(-4 + 4 - 2*o).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272688116 to the power of 1\/2, to the nearest integer?\nAnswer: 16513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 68, 67, 66?\n\"Answer: -i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31794884041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36780 rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -1699*s**6\/120 + s**5\/30 - 245*s**4\/3 + 2*s**2 - 9*s. Find the third derivative of y(a) wrt a.\nAnswer: -10194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3*d + 305*a**3 + 639*a**2*d wrt d?\nAnswer: -2*a**3 + 639*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 9. Let j(q) = q - 7. Let l be j(d). Suppose -3*i = 2*i + 3*y - 143, 0 = -l*y + 2. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10110100010?\nAnswer: -10110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*s + 313*s + 233*s = -131*s - 29640 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-1 + -4) - 0. Suppose -r = -3*h + 9100006, -o*r + 3*h + 2*h - 18200010 = 0. Round r to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241807457.\nAnswer: 113, 389, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**2\/2 - 1. Suppose -2*k = -h - 11, 5*k - 1 = -5*h - 11. Let y(g) = 3 + 2*g**2 - k. Determine n(y(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 - 9*t + 1. Let x be m(-2). Sort x, -1, -5, 101 in decreasing order.\nAnswer: 101, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n, 4 = 3*f - 0*n - 2*n. Suppose -2*a - 10 + 14 = f. Is (6\/(-30)*-5)\/(a\/3178) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043528 to 5 decimal places.\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i. Let t be p(-1). Suppose 0*f = -5*f + t. Suppose 3*y = -3*r + 75, -f - 2 = -3*y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 8*a**2 + a + 10. Let u be b(-8). What is the first derivative of o + 1 - o - o + u wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9799.88l in millilitres?\nAnswer: 9799880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 23*c**2 + 9*c - 17. Let a be g(-11). Differentiate -7*n - 4*n**2 - a - 2 - 15 + 8*n**2 with respect to n.\nAnswer: 8*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*s = 152*s - 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9*(-6)\/(-4). Which is the biggest value? (a) p (b) 0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.6 - 29.43. What is the nearest to l in -0.4, 2\/13, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -710*o*s**4 - 21*o*s**2 + 3137*o - 3 wrt s?\nAnswer: -2840*o*s**3 - 42*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n**2 + 3*n - 3. Let f(c) = 91*c**2 - 28*c + 28. Suppose -4*v + 5*q = 1248, -q - 2*q + 939 = -3*v. Let s = 320 + v. What is s*f(m) + 28*r(m)?\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0 (b) 6 (c) -2\/9 (d) 38 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Suppose -3*y + 4*c = 2*y - 43, -p*y = -c - 16. Differentiate w**3 + 3 - y*w + 7*w wrt w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1240)\/64 - -19)\/(2 + (-260)\/128)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 14*b - 22*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 4)*(-3 - 6 + 5)*(-3*g**2 - 3*g**2 + 4*g**2) in the form w*g + b*g**2 + c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26\/((((-1496)\/330)\/34)\/((-2)\/(-10)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -222*x**4 + 100*x**3 + 1554*x**2 - 2032*x + 600 = 0.\nAnswer: -3, 50\/111, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34203627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*l - 2*z - 26, -2*l + z + 192 = 188 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44173 + -3404?\nAnswer: -47577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560713*q**2*t**3 - q**2*t + 738*q**2 + 14*q*t**2 + 12*q wrt t?\nAnswer: 3364278*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + 4*y = 1, 0 = 3*d + 5*y + 1. Suppose d + 3 = 3*n. Suppose 0*g - 20 = -n*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 147455 and 147157 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from kkkkkkkbbk.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 62 times -2\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 67*u**2. Let r(h) = -2*h - 2*h + 10*h - 7*h. Give t(r(z)).\nAnswer: 67*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11495411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -64.02 and -0.32085.\nAnswer: -64.34085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -657793.\nAnswer: 5\/657793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {f: 6, z: 2, h: 3, i: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -325176.3?\nAnswer: 97552.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose 4*y - s + p*s - 26 = 0, -3*y + 4*s = -26. Let m be y\/(-76)*8\/(-6). Which is the biggest value? (a) m (b) 0.3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3050*f + 10512. Is s(0) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 9001 = -720. Calculate the remainder when q\/28 - (-3)\/(-12) is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*h + 99*h**2 + 107*h)*(-16 - 9*h + 16)*(-5*h + 0*h - h).\nAnswer: 5346*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxfx when four letters picked without replacement from {x: 8, f: 1, z: 11}?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:00 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/504 and 85\/4905432.\nAnswer: 4905432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2179*j**3 + 663*j**3 - 3715*j**3 - 1348*j**3.\nAnswer: -6579*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14950*b + 14966*b - 113 - 207 = 0. Let m = 5 + 5. Calculate the lowest common multiple of m and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3353638 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -21, 1, 1\/28, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 424, 636, 848?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 25\/2*j**2 + 8\/3*j**3 + 15 + 0*j. Find the second derivative of v(h) wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/19 - 4141106*d**2\/19 + 2143625920862*d\/19 - 32153457070830\/19.\nAnswer: 2*(d - 1035269)**2*(d - 15)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyii when four letters picked without replacement from {y: 1, i: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1281 = -5*k + 3976, -5281 = -5*k - 4*q. Let h = k - -2242. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 2*d**7\/105 + 13*d**6\/120 + d**5\/4 + 7*d**4\/24 + d**3\/6 - 2*d**2. Factor c(b).\nAnswer: (b + 1)**3*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 786608*c**5 - 25423*c**2 - 2.\nAnswer: 47196480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 - 3*z**2 - 10*z - 5. Let o be y(5). What is the greatest common factor of 98 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v - 192. Let n be (2\/4)\/((-16)\/v). What is the fourth smallest value in n, -1\/3, -3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zowowzwzoowzzwowzzw. Give prob of picking 4 w.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534388043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79 + 415. Suppose -p + z = 13*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.32848118951 - -4.5?\nAnswer: -8.82848118951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 375.29 or -449.9?\nAnswer: 375.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 81*i - 134. Let o be g(31). What is the greatest common divisor of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 38*u = 5*w - 18, 8 = w - 2*u. What is the third derivative of -52*l**2 - 3*l**w + 9966*l**3 - 4 + 5 - 9967*l**3 wrt l?\nAnswer: -72*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-15))\/(4\/42) + 4843 + -3. What is the greatest common factor of v and 358?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (-24650)\/(-2175).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4 - 2164*b**3 - 1756086*b**2 - 633361684*b - 85662167761 = 0. What is b?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 11. Let x = 24 - q. Is x greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94548208 and 2256.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 5*f + k + 23, 3*k - 24 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14799643\/420 + -35237. What is the common denominator of m and -43\/756?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 5, 70, -23 in descending order.\nAnswer: 70, 6, 5, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12296.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 95. Let q be 675\/(-180) + a\/8. Let y(j) = -2*j**3 - 4*j**2 - 5*j - 4. Let r(k) = 3*k**3 + 5*k**2 + 6*k + 5. What is q*r(c) - 5*y(c)?\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - 0.01. Let p = -1.571881 - 0.128119. Is p > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**3 + 4*b**2 + b - 4. Give m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.813763ml to litres.\nAnswer: 0.009813763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n - 55*n - 228 = -5*j - 54, 177 = 5*j + 2*n for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s**2 + 22. Let i(x) = x**2 + 2. Let n(t) = -2*b(t) + 22*i(t). Suppose -262 = -2*a - 264. What is n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 49. Let n be (-62004)\/10 - 12\/v. Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v**2 - 114*v + 37. Is p(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-260)\/2*(-2)\/(-72) and (-2)\/2*(-186)\/32 - 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/270 and -99\/7820062.\nAnswer: 1055708370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72))\/sqrt(8) - sqrt(27)\/(sqrt(3)*-2))\/((sqrt(432) + sqrt(432)*2)*2 + sqrt(432)).\nAnswer: -sqrt(3)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 7*f**2 - 4*f + 10. Determine a(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Suppose 4*t = 3*p + 12, 5*p + 5 - 7 = 3*t. Let c(d) be the third derivative of -1\/15*d**5 + 0*d - t*d**2 + 0*d**4 + 0 + 0*d**3. Give c(x(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 4)\/(-35) - 9\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54147 is divided by 194?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21155466 (base 7) in base 16?\nAnswer: -1b65b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1667 + -1302.2. Round z to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*v**2)*(-6*v - 5*v + v) + 5*v**3 - 5*v**3 - 2*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*d. Suppose -d = -4*k + 12. Which is the third smallest value? (a) 5 (b) k (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4929 = 11*z + 2837. Let h = -711 - z. Let p = 8 - 6. Put -3, p, h in decreasing order.\nAnswer: p, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 1 - (5 + -6). Let p = m + -1. Suppose -6*g + p*g - 40 = 0. Which is bigger: -9 or g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/83 and 4 + 690\/(-48) + 4.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -10. Are 8 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 19239342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/4 + 2)\/((-4)\/8). Let o = 19 + n. Suppose -b - 2*z + 111 = o, z = -2*b - 0*z + 231. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-105))\/(28\/49)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258 = 26*m + 8*m. Solve 15*n - m - 8 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11628997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*f + 1602 - 3137 = -1579, -3*c = -5*f + 79 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19717 by -273.\nAnswer: -19717\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 less than 17.8?\nAnswer: 178.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = 116*n - 108540. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 182, 295, 408, 521?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3641, 0, 2, -5, 30, -2 in increasing order.\nAnswer: -3641, -5, -2, 0, 2, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-6)\/27). Solve -j*w + 2*o = -w - 4, 12 = -4*w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 58*x - 79. Let p be c(-33). Let d = 238 - p. What is the remainder when 198 is divided by d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/24 - -3)*-4 + 33. Solve -5*i = -5*y - g, -4*i + 7 = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5444542 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82811 + 49*z**2 - 165625 + 82814.\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - (-4 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 3*d**3 - 3*d**3 + 4*d**3 - 3*d**3 - 2*d**3 + (-4*d**3 + 0*d**3 + 3*d**3)*(0 + 2 - 1) - 403*d**3 - 680*d**3 - 355*d**3.\nAnswer: -1442*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/((-1)\/4). Suppose 5*y - 23 = -4*u, -2*u - x*y = -9 - 10. What is the third derivative of -5*v**2 - 2*v**2 - 3*v**4 + 4*v**u wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*x + 16, -4*x = -2*d - 3*x + 8. Suppose -78 = -d*y - 3*o + 91, 4*y - 5*o = 145. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iipyipipi. Give prob of picking 1 y and 3 p.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 556*o - 16665. Calculate c(30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2829 divide 96137078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -28\/3*o - 78*o**2 - 42*o**4 + 0 - 358\/3*o**3 + 26\/3*o**5 = 0.\nAnswer: -1, -2\/13, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 4*f**2 + 609*f**3 - 3*f**2 - f - 3*f**2.\nAnswer: 609*f**3 + 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/7 + 2292*j**4\/7 + 8787558*j**3\/7 + 4048598028*j**2\/7 + 8070842565*j\/7 + 575861400 = 0. Calculate j.\nAnswer: -765, -1, 2296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/(-4)*48\/(-60). Let l = y + -10. Suppose l = 3*d - 148 - 80. Calculate the remainder when d is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89241\/20 + -4460. Find the common denominator of -43\/986 and q.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9788*0.032.\nAnswer: 0.1593216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 7*o + 5. Let u be (-4)\/(-10) + 4\/(-10). Suppose -4*t - 2 = -w - u*t, -o*w + 2*t + 26 = 0. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*y + y + 2*c, 2*y + 2*c - 154 = 0. Suppose m - a - 14 = -2*a, 5*m + 2*a = y. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1.16?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3326114 + 956208.\nAnswer: -2369906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5696 and 688.\nAnswer: 244928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2, 3*g - 3 - 3 = 3*y. Let q(b) = -b**3 - 6*b**2 - 5*b + 3. What is q(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17831, -19631, -24525, -34061, -49787, -73251?\n\"Answer: -258*n**3 + n**2 + 3*n - 17577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-84)*(-12)\/(-16). Let q be (-2)\/(-4) + (-75)\/350. Find b, given that -q*b**5 + z*b**4 + 0*b + 0*b**2 + 0 + 0*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 20. Let j be a(7). Calculate the remainder when (18\/j)\/((-2)\/72) is divided by (21\/(-2))\/3*-4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) 2 (d) -3\/8 (e) -221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)**(-9\/13)\/(g**(1\/5)*g**(2\/13)))**(-2\/3) assuming g is positive.\nAnswer: g**(46\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 8*w + 10. Let i be u(-7). Suppose -5*s + 10 + 5 = 0. Let i*j**5 - 9*j**4 - s*j**2 + 1 - 1 + 9*j**3 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/96 and 95\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:51 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 40 - 16*k - 115 - 17*k + 33*k to u*k + y*k**2 + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16274002 to the power of 1\/2, to the nearest integer?\nAnswer: 4034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 + 2*a - 3. Let s be k(2). Suppose -2*q = -s*q. Let z be (1\/(-2))\/((-11)\/(-4)). Are q and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3635104 by 736.\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 6. Solve 5 = j*o + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 106*i - 77*i - 2.\nAnswer: -183*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549 and 12017.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.6881399?\nAnswer: -2.6881399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/((-1)\/(-6)). Let y(t) = 8*t + 39. Let d be y(-5). Sort p, 4, d in descending order.\nAnswer: 4, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r + 1. Let a(c) = -4*c**3 - 3*c - 5. Give 2*a(b) + 6*j(b).\nAnswer: -2*b**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 46?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, -24, -43, -62, -81, -100?\n\"Answer: -19*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72)\/sqrt(6) - -1*sqrt(108))**2 + -5 + -1*(-1 + sqrt(363))*6.\nAnswer: -66*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127360849\/3900 - -424520\/13. Let q = 1\/150 - v. Which is smaller: q or 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -43*o - 14. Let w(s) = 14*s + 5. Determine 6*q(r) + 17*w(r).\nAnswer: -20*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-1\/4))**(-1\/25)\/((r*r**1\/r*r)\/(r\/(r*r**(1\/4))*r)) assuming r is positive.\nAnswer: r**(-67\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 0*m**2 + 2*m - m**2 + 1 + 0*m. Let f be i(2). Solve 4*q = 19 + f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8718 and 87001281?\nAnswer: 4359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2 + 3676*u + 1668*u.\nAnswer: 5344*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/611 and -107\/234.\nAnswer: 10998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Solve 2*k + 6*k**3 - k**5 - 2*k**4 + 2*k**2 + d*k**4 - k**5 - 6*k = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 16. Suppose 7*q - g*q - 2*o = 22, 0 = 3*o + 15. Is 423 - (2 + 6\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + g = -2*g + 260, 2*n = -g + 260. Calculate the common denominator of 26\/7 and ((-9)\/(-30))\/((-12)\/n).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800)\/1400 - 3056\/(-56).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 82748768454859\nAnswer: 82748768454864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2853\/5 + 571. What is the closest to -0.2 in -1, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10270 is divided by 4672?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/12 + 2*n**2. Let b(r) = -r. Calculate b(m(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0997 * -36\nAnswer: -3.5892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 136. Suppose -72 = -2*u + 10*u. What is the smallest common multiple of o and (375\/u)\/(-5) - 65\/(-39)?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose -13 = 3*o - 8*o + g, -2*g = r*o - 13. Suppose 22 = 4*u + 6, o*i - 64 = -4*u. What is the least common multiple of 2 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -c?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15332729088903\/12341 - 1242421933. Let l = -1\/8815 - i. What is the common denominator of 68\/3 and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -45. Suppose 0 = w*z + n - 84, 5*z - 80 = 5*n - 10*n. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.26 - -0.44. Let d = -27 + i. Which is the nearest to -1\/3? (a) 3 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.7*35714\nAnswer: -167855.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 - 26*y**2 + 18*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-132)\/(-8))\/3*-82. Let i = -261 - j. Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(180) + -4*-2*sqrt(20))**2 - 3*((sqrt(5) - sqrt(55)\/sqrt(396)) + -2))*1 + 0.\nAnswer: -93*sqrt(5)\/2 + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 743 - 742.999546. What is f rounded to 5 dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 0*q - 4*w - 3, -2*q = -14*w - 13 + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66.017 - -0.017. Let s = 2225 - 2154. Let o = g + s. Which is the closest to 1\/2? (a) o (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20650.2156ms to days.\nAnswer: 0.000239007125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 1. Let s(r) = -r**2 - r - 5. Let z be s(0). Let b be (z\/(-5))\/(1\/6). List the prime factors of y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + -502?\nAnswer: -4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 7*f - 8*f = -29*w - 47 + 96, 2*f = w - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2468076 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 36883 - 2182. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 25 = 5*z, -3 = l + 2*l - 3*z. Let q(s) = 17 + s**l + 1 - 2*s**2. Is q(0) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 47*u**6\/120 + 9*u**5\/10 + 2*u**2. Find the third derivative of f(p) wrt p.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**6\/120 + s**5\/20 + s**4\/24 - s**3\/6 - 5*s**2. Let q be d(2). Solve q*g + 0 - 12 = 3*a, 5*a - 2*g = -20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17117, -34240, -51363?\nAnswer: -68486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 51 = -3*g, -3*g - 5*b - 42 = -6*g. 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 picking 1 a and 1 o when two letters picked without replacement from {a: 1, x: 6, t: 7, o: 2, g: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w + 2. Determine l(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1432*g**2 + 5*g**3 - 7*g**3 - 523*g + 2274*g - 1432*g**2 + 3349 wrt g?\nAnswer: -6*g**2 + 1751","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(-2 + sqrt(288)) + 1)**2 + 0.\nAnswer: -960*sqrt(2) + 7264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c**2 + 107*c - 5. Let n be 2\/6 + (-8)\/(-12). Suppose 4*s = -3*x + 12, -2*x + 17 = 4*s + n. Calculate the smallest common multiple of g(7) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1631161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -4.5. Let p = -2 - k. Let j be 6\/15 + (-4)\/80*-2. Which is the smallest value? (a) -0.5 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -4 (c) 1\/5 (d) -91 (e) 44.9 (f) -0.7 (g) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*v = 2, -953551*p = -953556*p - v - 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6089 times -0.3139?\nAnswer: 0.19113371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 9. Let r be m(7). Let w(c) = -7*c**2 - 7 + 17*c**2 - 5*c**2 + 6 + 2*c**2. Give w(r).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98574559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-9) + (5 - (-6810)\/9). What is the highest common factor of 40 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -19) + 1 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/1764*-14*7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2621887*m**4 + 11633507 wrt m?\nAnswer: -10487548*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*j, d + 2*j + 3*j = -1. Let f = d - -5. Calculate the least common multiple of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 29. Let y be k(-14). Suppose z - 5*f = 45, 0 = z - 0*f + f - y. Solve 0 = -2*x - 6, m - 6*m + 5*x = -z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23762 is divided by 928.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -805, -818, -841, -874, -917?\n\"Answer: -5*u**2 + 2*u - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(754\/((-195)\/(-15))).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*u**3 + 865*u**3 - 1701*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(11)*4 + sqrt(11))*5 + 2 + sqrt(99)\/sqrt(9)*-2.\nAnswer: 2 + 83*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1380 = 4445*q - 4449*q. Put q, 4, -1 in increasing order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**8\/112 - f**5\/20 + 2*f**2 + 4. Let q(m) be the second derivative of g(m). What is the third derivative of q(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(114)\/sqrt(864).\nAnswer: sqrt(19)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**4\/4 - 2*z. Let k(q) = 1. Let c(l) = -3*l**2 + 9. Let f(j) = -c(j) + 9*k(j). Calculate h(f(w)).\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 913693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -4. Let p be f - 4\/4*-2. Let q(w) = -19*w**3 - 22. Let u(v) = v**3 + 1. Let x(s) = p*u(s) + q(s). What is the derivative of x(j) wrt j?\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 202824573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:11 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13872647?\nAnswer: 193, 71879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-72) + 1479\/27. What is the tens digit of (33\/p)\/((-3)\/(-105) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948 and 3002?\nAnswer: 18012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -244, -985, -2218, -3943, -6160, -8869, -12070?\n\"Answer: -246*y**2 - 3*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (27\/57)\/((-1)\/(-5)) and ((-245140)\/180)\/119 + 15*1.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5*(p*p\/((p**(2\/5)\/p)\/p))\/p)**47\/((p**(-2\/3)*p)\/p**(2\/9))**(18\/7) assuming p is positive.\nAnswer: p**(12492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 8, 1, 15 in increasing order.\nAnswer: -3, 1, 5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.32 - 17.68. Let j = g + 18.34. Let q = -0.5 - j. What is q rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -69, -0.023, -3, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-7))\/((-19)\/((-798)\/(-9))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4784192995315321*u**2\/3 - 276671444*u\/3 - 4\/3.\nAnswer: -(69167861*u + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12\/v**(10\/9)*v**(-2\/9)*v*v\/(v*(((v\/(v**(7\/4)*v))\/v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(1\/(-69)). Suppose 0 = -30*o + 55*o - 575. Calculate the highest common divisor of o and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/7, -31, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (0 - 192\/5). Let j = -1628\/45 - x. Suppose 0*i**2 - 2\/9 + j*i**4 + 4\/9*i**3 - 4\/9*i = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 2*u**2 + 6*u**2 + (0 + 0 + 2*u)*(1 + 2*u - 1) + (-2*u - 3*u + 3*u)*(7315 + 350*u - 7315) + (-1 + 1 + 1)*(2*u**2 + 3 - 3).\nAnswer: -693*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 252*y - 3387459 - 920985. List the prime factors of y.\nAnswer: 3, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 - 11) + -2 + 4. Solve 2 = w*a, a = -r - 0*r + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277551877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r = 33*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 0 + -3 + 27 - 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 121322?\nAnswer: -121234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13460 is divided by 2664.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r + 13*r - 17*r + 77*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 161460.42 to the nearest one hundred.\nAnswer: 161500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 equal to -7909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Suppose 0 = 4*x - 2*w + 4, 5*w + 6 = -4*x + 16. Is 17 a factor of 41 + -7 + x\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, i: 3, b: 4, m: 1, t: 2, e: 2}. What is prob of picking 1 f, 1 b, 1 i, and 1 m?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 + 10*a - 9. Let w be m(7). Let f = w + 2. Let i = f - 6. What is the lowest common multiple of i and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + j = 11, -317 = 3*o + j - 310 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008114970425 to 7 dps.\nAnswer: -0.008115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*n + 36 + 74 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 - 13*k**4\/24 + 11*k**3\/2 + 75*k**2. Let s be z(10). Solve s*h - 30 = -5*v, -2*h + 0 + 10 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.2627 - -45.3. What is h rounded to 3 dps?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001875114 to 5 decimal places.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -7. Suppose 3*p + p + n = 0, -2*d + 2*p = -12. Suppose 3*i = 0, -2*h + 7*h + d*i = 85. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20804 and 114716.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 249 + -250.063. Let h = j - -1. What is h rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2205 + -1240. Let t = i + -1895\/2. Calculate the common denominator of t and -49\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13956 + -16258746\/1165. Let w = m - 33479\/59415. Find the common denominator of -16\/15 and w.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -97415?\nAnswer: 97413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 4, 5, 8, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101400, -202804, -304210, -405618?\nAnswer: -507028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 24802.\nAnswer: 272822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222*c**4*j - 10592*c**2*j - c*j + 42*j - 64 wrt c.\nAnswer: -2664*c**2*j - 21184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -201615443 * 0.2\nAnswer: -40323088.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4439*v + 89. Let r(c) = -1480*c - 34. Determine -8*r(m) - 3*w(m).\nAnswer: -1477*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -60*p**3 + p**2 + 3*p + 3. List the prime factors of h(-4).\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3915224401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18864 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 4 - 4 + (3*r - 4*r - r)*(2*r - r + 0*r + (r - 4*r + r)*(-1 + 2 + 0) + r + r + 0*r + 14*r - 107*r + 387*r).\nAnswer: -592*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 40.8. What is the nearest to 3\/2 in j, -1, -7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -330 + 338. Suppose -4*i = 8*b - 10*b, 2*i + o = 5*b. Let u(w) = -w + 4. Let j be u(4). Solve j = 3*r + 3*d - 9, 2*r - r + b*d = 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = k - 6 - 4, -5*k + 4*c = -50. Solve -2*w = -n - k, -n + 15*w = 10*w + 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, 2, 393, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -75*r**2 + 7*r + 18. Let h be n(-4). What is h rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 349.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 182288717 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1399, -1199, -675, 335, 1993, 4461?\nAnswer: 7901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-5 + -5 + 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321 and 749.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + h + 10. Let x be v(-7). Suppose -3*m + 9 - x = 0. Solve -4*z - 2 + 3 = -3*t, -2*t = -3*z + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3883966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*j + 1752 - 1712, 3*p + 3*j - 33 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, 188, -1, 7818 in ascending order.\nAnswer: -2, -1, 0, 2, 188, 7818","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11437511*p**2 + 3812441*p**2 + 3812536*p**2 + 3812532*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 140685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 12:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5271200 to the nearest 10000.\nAnswer: 5270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 5*m + 6, -4*h = -3*m - 18. Suppose -14*k + 10*k + 1244 = h*x, 0 = -3*x. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.4 rounded to 1 dp?\nAnswer: -29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 10. Let t be z(-6). Let m = t - -31. What is the derivative of -4*n**m - 9*n**3 + 3*n**3 + 12 wrt n?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 + -7.6. Which is the biggest value? (a) 1 (b) n (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080446*k = 2080831*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1. Let r(c) = -c - 1. Suppose -117*n - 15 = -127*n - 5. What is n*o(f) - 2*r(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + u**3 - 22*u**2 - 2*u**3 + 1 as d*u**2 + l*u**3 + h*u + i and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -s + 8*s. Let l = -27 - s. Let p be 2 + (41\/(-8) - l). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2132?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110010000011100 (base 2) to base 4.\nAnswer: -2312100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 272, 258, 242, 224, 204?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 40 = 3*d, 0 = -4*d - 4*b + 31 + 33. Suppose -5 + d = 3*i. Find the first derivative of 4*v**2 + i*v**2 - 1 - 1 wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2490 or -2489?\nAnswer: -2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyuyyuywuywwyuywu. What is prob of sequence yy?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**3\/6 - 4*m**2 + 2*m + 3. Suppose 2*i = -2*i - 24. What is c(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z. Let p(c) be the second derivative of 1\/6*c**3 + 1\/2*c**2 + z + c. Differentiate p(d) with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -99\/2*v**2 + 59*v + 11\/10*v**5 - 1\/6*v**3 + 0 + 0*v**4. What is the second derivative of x(z) wrt z?\nAnswer: 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 135*m. Let d(r) = 67*r. Let v(a) = -9*d(a) + 4*o(a). Let f(u) = -3*u**2. Calculate f(v(n)).\nAnswer: -11907*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 295*d**3 - 850*d**2 - 560*d.\nAnswer: -5*d*(d + 1)*(d + 2)*(d + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -3, 0.023903 in ascending order.\nAnswer: -97, -3, 0.023903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/8 - (-2)\/8. Suppose c*n = -3*n + 65. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**6\/30 + 25*d**5\/9 - 17*d**4 + 176*d**3\/9 + 531*d**2. Factor a(l).\nAnswer: 4*(l - 2)*(l + 44)*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 433645830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -540 - -551. Let h be (-22)\/v*9\/(-42). What is the second smallest value in 5\/4, 5, h?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + m - 0 - 3, -4*w = -2*m - 4. Let o be ((-1 + 3)\/w - 2) + 5. Suppose o = -2*r + 5. Solve -3*p - 3 = r, 0*p + 5*p - 10 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -1319 - -1073.4. Round n to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324072 divided by -6.\nAnswer: 54012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 13*j - 21. Suppose 0 = -m + 5*m + 16. Let v be 4\/(m + 54\/15). What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7378118?\nAnswer: 2, 11, 19, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwbowqwb. Give prob of picking 1 b and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66125 (base 9) to base 3.\nAnswer: 2020010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -32892876.\nAnswer: -1\/8223219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let x be h(-1). Suppose x*a = a. Which is smaller: -0.07 or a?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -313038385, -313038386, -313038387?\nAnswer: -313038388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - w + 650 = -1133, 3*c - 5349 = -w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 15 = -5*m. Let t = -7 - m. Solve d - t + 0 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37505.08 litres to millilitres.\nAnswer: 37505080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10253439 divided by 5.\nAnswer: -10253439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12804849\/2 - -179342707\/28. Let t = k + -2674. Let c = 1\/1033 - 46507\/22726. Find the common denominator of t and c.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 1\/6*m**3 + 0 - 1\/120*m**5 + 5\/12*m**4 + 4*m**2 + 0*m. Let s(n) be the first derivative of b(n). Determine s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/2783 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**33)\/u**9*(u*u**(1\/7))\/((u*u**(-2\/65))\/u) assuming u is positive.\nAnswer: u**(-18121\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/9 and 5\/358.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.26 + 0.16. Let k = -3 - -2.6. Which is the third smallest value? (a) z (b) k (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1542, -3085, -4626, -6165?\nAnswer: -7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10725*n - 2. Is f(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 17679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/3*r - 2\/3*r**2 - 200\/3.\nAnswer: -2*(r + 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5607, 5604, 5601, 5598, 5595?\n\"Answer: -3*c + 5610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 14. Let w = 1941.9 + -1942. What is the third smallest value in -4, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14635, 14882, 15293, 15868, 16607, 17510?\nAnswer: 18577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 12*g - 376. Let z be s(-27). Solve -23 = -2*w - z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/((-55)\/((-8250)\/630))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 39*a - 488. Give f(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13291036 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 2, -29, -96, -211, -386?\n\"Answer: -2*w**3 + 7*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 31*y**2 + 6*y. Let c(a) = 10*a**2 + 2*a. Suppose 0 = 2*g - 3*b - 14, 4 = g - 318*b + 317*b. Give g*z(v) + 7*c(v).\nAnswer: 8*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 10. Let z be s(-11). Suppose -3*a + 3 - 17 = -4*b, 0 = -2*b + 5*a + 14. Let v(y) = -2*y**2 - 1 + 0*y + 0*y + b*y. Determine v(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*(-119)\/(-51).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p + 14 + 22 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 20. Let u be 6*(4 + -3)*1. Let t(g) = 14*g + 38. Let n(j) = -5*j - 13. Let q(p) = 17*n(p) + 6*t(p). Determine u*w(b) + 17*q(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuueueuuuueu?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1071010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 + -118. Suppose -445 = r*n - t - 4778, 2613 = 3*n - 5*t. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -69, -284, -641, -1140?\n\"Answer: -71*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 796 - 372. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*l**3 + 9*l**3 - 14*l**3 + (-2 - 1 + 5)*(19 - 13 - 15)*(l**2 + l**3 - l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**7*(d**(-7)\/d)\/d*(d*d\/((d**1*d*d)\/d))**(1\/5) assuming d is positive.\nAnswer: d**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and -67\/3674298.\nAnswer: 11022894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 9*y**2 - 19*y**2 - 22*y**2.\nAnswer: -51*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41344 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38040 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93566 times 15?\nAnswer: 1403490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 23*h**2. Let n(l) = 3693*l**2 - 33*l - 66. Let a(x) = 458*x**2 - 4*x - 8. Let t(r) = -33*a(r) + 4*n(r). What is t(y(b))?\nAnswer: -180918*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 23. Suppose -x = -4*d + 267, v*d - 155 = 2*x + 39. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 24 - 16. Let h = 386 - 379. Put -5, -4, h, n in descending order.\nAnswer: h, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(171))**2 - sqrt(76)*4) + 4)*2.\nAnswer: -52*sqrt(19) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -34. What are the prime factors of u - 87*(-4 - (-7 + 4))?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53.30304um?\nAnswer: 53303.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 66 (b) 222 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 6, p: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 4*(-3 + (sqrt(20) - sqrt(80))*6 + (sqrt(200) + (sqrt(200) + (-2*sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(200) - sqrt(200)))\/sqrt(10))))**2*-6.\nAnswer: -277656 - 16128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -4.5.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 1772634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22564979197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 7 - 8) + 16 + 11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3.9, 3, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 117979 + 141*v**2 + 43*v + 117979.\nAnswer: v**3 + 141*v**2 + 43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*7332.\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-125)\/50*352\/(-10). Calculate the greatest common factor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 228*p - 30. Let h be y(2). Is 4 a factor of ((-168)\/(-16) + -11)\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 35*u**2 - u + 6. Let w be f(2). Suppose 5*h + 5*d - 106 - 239 = 0, w = 2*h - 4*d. Let b = 79 - h. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*sqrt(130)*2 + sqrt(130) + sqrt(130))*-2)\/(sqrt(50)\/(6*sqrt(15)\/sqrt(3))).\nAnswer: -216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 1?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/71?\nAnswer: 5\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 - 6*p + 4. Suppose -4*w - 5 = 3, 0 = -3*o - 3*w - 246. Let i be o\/14 + (-2)\/7. List the prime factors of q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 1108*b = 1111*b - 27, 2*b = -3*c - 12 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496\/558 - (-10586)\/18 and 323.\nAnswer: 10013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020101221101100 + 12?\nAnswer: 1020101221101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 8\/13995 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1015018m to kilometers.\nAnswer: 0.0001015018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 2*v. Let t be n(2). Suppose 2*h**2 + t*h + h**2 - h**2 = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*u - 20, -24 = -5*u + 1. Suppose 3*z = 17 - i. Suppose 0 = -z*m + 4*c + 12, -3 = 3*m + 3*c - 30. 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: Let y(m) = -16*m**2 - 6*m + 4. Let o(b) = 11*b**2 + 4*b - 3. Give -7*o(d) - 5*y(d).\nAnswer: 3*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274260 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 231.\nAnswer: 4\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56\/31 + -3105\/1736. Find the common denominator of q and (-21)\/6 + (-1072)\/(-224).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141662.0000089389 - 141662. What is q rounded to 7 dps?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**10)**33 assuming o is positive.\nAnswer: o**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = -4*t, 0 = 2*y - 5*y + t - 31. Let a(s) = s**3 + 9*s**2 - 14*s - 21. What is the remainder when 72 is divided by a(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k - 2. Let f(r) = -5*r**2 + 13*r + 9. Suppose 2*p + 109 = 105. What is p*f(m) - 9*s(m)?\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 3, h: 3, d: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1. Let t(d) = -d + 3. Let k(y) = -p(y) - t(y). Let j be -6 - -8 - (-2 - -2). Let i(s) = 4*s - 7. Let r = -11 - -4. Calculate j*i(m) + r*k(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7930233kg to micrograms.\nAnswer: 793023300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273588689.\nAnswer: 11, 409, 60811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 236, 479, 724, 971, 1220?\n\"Answer: m**2 + 240*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 11 = 5*q, 5*h + 9447*q + 3 = 9448*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Suppose n + 3 = -x. Let s = -4 - x. What is the second biggest value in s, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o + o - o. Let s(t) = 32*t**2 + 56*t + 56. Let p(c) = 3*c**2 + 5*c + 5. Let j(g) = 56*p(g) - 5*s(g). Calculate j(a(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4556644 is divided by 2589?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111255996 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0 - 11\/12*o**4 + 1\/40*o**6 + 1\/60*o**5 - 8\/105*o**7 + 0*o**3 - 8*o**2 + 0*o. Find the third derivative of h(s) wrt s.\nAnswer: -384*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = -170. Let n = 361 - g. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64123, 128132, 192141, 256150?\nAnswer: 320159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 126?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1864 and 6775174?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:51 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1*(-7)\/(-98)*26\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135592590 and 1847790?\nAnswer: 2847444390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*a**6 - 177527*a**4 - 19749981*a**2 wrt a.\nAnswer: -2760*a**3 - 4260648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -128*v**2 + 7 + 146*v**2 - 12*v**2. Let m(y) = 36*y. Calculate h(m(c)).\nAnswer: 7776*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-20)*5\/3. Determine r, given that s*r**4 + 3\/4*r**5 + 0*r + 0 + 0*r**2 - 3\/2*r**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, n: 3}. Give prob of picking 2 n and 1 g.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 297, 679, 1235, 1977?\n\"Answer: 2*p**3 + 69*p**2 - p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 2:15 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003452811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088))**2*-2*2 + sqrt(204)\/(sqrt(768) - (sqrt(768) + 4*sqrt(768) + sqrt(768)) - sqrt(12)).\nAnswer: -4352 - sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -0.05?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 264 = -17*u. What is the lowest common multiple of 12 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 17. Sort 5, -3, v.\nAnswer: -3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61a50 (base 11) to base 8.\nAnswer: 260512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 8*f + 153 = 0. Let o = 76 - f. Solve 2*b + 3*b - o = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.8 + -48.1. Let x = 30.41 + d. What is x rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/((-10230)\/(-2376))*4\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35621 is divided by 614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*-3 + 20. Let k = g - 7. Let d(a) = -21*a - 5. Let c be d(-6). What is the highest common divisor of c and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 12*m**2 + 16*m + 11. Let x be y(-10). Let z = -49 + x. Suppose -z*k - 16 = -3*k. Calculate the greatest common divisor of 32 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*z**3 + 735*z - 1508*z**3 + 2513*z**3 wrt z?\nAnswer: 6318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -238\/15? (a) -1\/6 (b) 3 (c) 4 (d) -16 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -0*s. Suppose -3*i + 0*i + s = 0. Suppose -b = i + 1. Let f(n) = -3*n. Calculate f(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjd when three letters picked without replacement from djbrx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57761911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20625, 41263, 61901, 82539, 103177, 123815?\n\"Answer: 20638*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/4)*j**(-1\/3)\/j*j)\/((j*j**(-1))\/j)**(-38)*((j**(-1\/3))**(7\/2))**32 assuming j is positive.\nAnswer: j**(-899\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 25214596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65657?\nAnswer: 65657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*o**5 + (o**3 + 2*o**3 - o**3)*(-29*o**2 + 9*o**2 + 39*o**2) + 0*o**4 + 3*o**5 + 0*o**4.\nAnswer: 39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/(n\/(n\/(n**(1\/3)\/n))*n)*(n*n**(1\/3)*n)**47 assuming n is positive.\nAnswer: n**(352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 3*u + 1. Let l be r(-3). What is the units digit of (-10 + l)\/3 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + 2*m**2)*(-3*m + 4*m - 2*m) - 3*m**3 + m**3 + m**3 + 0*m**3 + 24 - 3*m**3 - 26.\nAnswer: -6*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:15 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, t: 4, r: 1, d: 2}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -15, -21, -31, -45?\n\"Answer: -2*z**2 + 4*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(28) + -1 + (2*sqrt(7))**2 + 5.\nAnswer: 3*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637098 is divided by 243?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2788.997l to millilitres.\nAnswer: 2788997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 22 - 5*a**2 + 2*a**2 + 3*a**2 + 19*a - a**2. Let b be s(20). What is the remainder when 24 is divided by (126\/(-70))\/(b\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*l - 113*l - 60. Sort -1, 0, l, 3.\nAnswer: l, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4725 divided by -9\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let h be -3 + (-16)\/(-4) + 2. Suppose 3*s - 4*a = 3 + h, 4*a - 6 = -3*s. Let n(b) = 12*b**s - 29*b**2 + 19*b**2. Give n(w(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3 - 1) + 1)*(2 - 1). Let x(c) = 6*c**2 - 3*c - 7. Suppose 5*r - 73 - 27 = 0. Calculate the remainder when x(l) is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -2\/5 (c) 102 (d) -1\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1070 and 94695?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55426507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 22*p. Let r(k) be the first derivative of 2*k**3\/3 + 65. What is r(b(n))?\nAnswer: 968*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/21)\/(-1))\/((-4)\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 13. Let y = -45 - -48. Which is the second smallest value? (a) w (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + v. Let n(w) = 2*w**3 + 128*w**2 + 2906*w + 21296. Let d(a) = 4*c(a) - 2*n(a). Find u, given that d(u) = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2557880?\nAnswer: -2557880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1213.1 + -1150. Let h = v + -5.1. Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -26, 12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1540\/1430*(-45)\/(-2835).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 192*g**2 - 7245*g - 77234.\nAnswer: -(g + 23)**2*(g + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 9934.47902952.\nAnswer: 9937.47902952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 7*y - 214 + 0*y + 8*y.\nAnswer: 2*y - 214","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 3:20 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*p**2 + 20344*p + 27104 = 0. Calculate p.\nAnswer: -1694, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 832419104 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2976 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18405 divided by 1227.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143.882 - 144. Let w = 0.11707 + b. What is w rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -61\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4869 + -4943 + 141 + -2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 2 (c) -1\/15 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133763878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8246.\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00148492061 to six dps.\nAnswer: 0.001485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 417.1767 micrometers?\nAnswer: 0.0004171767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 - 2*x**2 + x. Let b be d(-2). Let w = 10 + -6. Calculate the remainder when w is divided by b\/(-18) - 14\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v - 12. Let l be k(4). Let u = 0.2 - 0.2. What is the nearest to u in l, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -5. Let y(h) = -7*h - 7. Calculate the remainder when y(-7) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/7 + 718*d**3\/7 + 82622*d**2\/7 + 163082*d\/7 + 81180\/7 = 0. What is d?\nAnswer: -90, -1, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2\/13, -0.163 in decreasing order.\nAnswer: 2\/13, -0.1, -0.163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 842 and 5894?\nAnswer: 5894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3060\/(-72)*2\/10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -1033, -728, -423, -118, 187?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/2 - 2*t + 6 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 602*f - 1208.\nAnswer: (f - 604)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from bbeeb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 5*y - 3 = 0. Let q(m) = 3*m**3 - m**2 + 2*m + 2. Let g be q(y). What is the common denominator of 38\/57*(-183)\/g and 119\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 429 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 12. Which is the second smallest value? (a) l (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/84*36 + (-5 - -4)*-2. Let k = -19 - -37. Suppose -3*p - k = -0. What is the smallest value in p, b, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 = 82*z + 64 - 266 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1591\/(-7) + (-12)\/(-42). Is -228 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, 0 in decreasing order.\nAnswer: 1, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76\/17865 - 483881\/4680630. Let f = 1\/131 + l. Which is bigger: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401114 (base 5) in base 3?\nAnswer: -122100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676 is divided by 101?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 157\/2434, 2, 1, -3?\nAnswer: 157\/2434","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3202 + -393848\/123. Let z = 80\/123 - p. What is the nearest to z in 0.5, 3\/7, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-87*y - 7*y + 30*y).\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - (312 - 302)) + (-1 - -51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 12296700*c**3 + 24593394*c**2 - 12296696*c.\nAnswer: 2*c*(c - 6148348)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvb when three letters picked without replacement from bvvbvbvbvbvvbvbv?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m - 3. Let l = 7 + -2. Is s(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 11a952?\nAnswer: -11a950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-33))\/((-24)\/(-132)) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27930331 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzz. Give prob of picking 1 z and 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -359*q**2 - 144 wrt q.\nAnswer: -718*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, 3, -2 in decreasing order.\nAnswer: 7, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7568115 by -3.\nAnswer: -2522705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 3, -799, 4, 15 in decreasing order.\nAnswer: 15, 4, 3, -63, -799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/32, 10, -0.04?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 12271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**2\/4 - 3308007*m\/2 - 661602.\nAnswer: 3*(m - 441068)*(5*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88.5 + -10.5. Let d = b - 78.0226. What is d rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*s - 18*s**3 - 66*s + 25*s wrt s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 119, 5, 0.22?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 243452620 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 + 9\/12. Sort q, 3, -1\/4, -3 in descending order.\nAnswer: 3, q, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-1)\/(-1))\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkkkkkkkkkekkkkkk. What is prob of picking 2 k?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.1. Let t be (-61)\/366*(-18)\/(-39). What is the closest to a in t, -1\/4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 8. Let h(u) be the first derivative of u**2\/2 + 2*u + 1. Give h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 + 28*t**2 - 12*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56356 is divided by 3960?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -296275154397.\nAnswer: -296275154396.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -3.54.\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 4768 = 0. Suppose -4*l = -3*a - w, 2*a = 5*l + 189 - 1672. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let i be m(-4). Suppose 4*t + 12 = 2*j - i*j, 3*t + 9 = -3*j. Is (-108)\/(0 + t) + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52860960 - 52861009.999838. Let l = z - -50. What is l rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10047764431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -630 (b) -7 (c) 3 (d) 1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttottttttttttt. What is prob of picking 3 t?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8156\/6099 - 8\/2033. Factor g*h**3 + 12*h**2 + 16 + 80\/3*h.\nAnswer: 4*(h + 1)*(h + 2)*(h + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -1, -4, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 + 3*c - 10. Let l(u) = -4*u**2 + u - 3. Let y(k) = 3*f(k) - 8*l(k). Give y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 131, 167, 217, 281?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, -1\/9464, -4, 13?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -6*k + k. Suppose -5*c + c = 4. Is (0 - c)*-1 + k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2364477929 - -11003479414. Let j = -8639001532.99999963 + u. Let c = j - -48. What is c rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 183*d + 363. Let u(c) = -c**2 + 91*c + 183. Let k(m) = 3*b(m) - 7*u(m). Factor k(h).\nAnswer: 4*(h - 24)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2863*z + 1356142 = -2822*z - 269385. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z**2 + 12*z + 2. Let s be d(3). Let k = s - 97. Solve 0*t - 8 = -k*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let i(y) be the first derivative of y**6\/360 + 7*y**3\/3 + 6. Let t(p) be the third derivative of i(p). What is t(l(q))?\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -119, -239, -361, -485, -611, -739, -869?\n\"Answer: -q**2 - 117*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2*d + 34, 1846 = 5*a + 4*d + 1778 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05637551792 rounded to six decimal places?\nAnswer: -0.056376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 979\/55)*(-530)\/1272?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31\/11 - -3. Let z(f) = -5*f**3 - f**2 + f + 1. Let r be z(-1). What is the biggest value in 0, r, d, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:43 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.287.\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.09 - -0.09. Which is the third biggest value? (a) w (b) -1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/513 smaller than -418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hho when three letters picked without replacement from {o: 5, c: 6, h: 3, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (39904\/(-12))\/(-2) + (-18)\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + (-511)\/28)*-460.\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*k - 49 + 30 = 0, -b - 6*k = 21. Factor 0*v**2 - 1\/8*v**4 - 1\/4*v + 1\/4*v**b + 1\/8.\nAnswer: -(v - 1)**3*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -5)*-6 + sqrt(300))**2 + sqrt(300) + 2 + (sqrt(363) - (sqrt(363) + 1 + sqrt(363)))**2 + -2.\nAnswer: -2968*sqrt(3) + 8764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 31540?\nAnswer: -31540.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4))**47*(j\/j**(-3\/2))**34 assuming j is positive.\nAnswer: j**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/9 and 206606 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 1782?\nAnswer: -1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568 divided by -142.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h - 6 = 0. Let b = 2.2 - 2. Let m = -0.3 + b. Are h and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8401347 litres to millilitres.\nAnswer: 840.1347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 1541, 3439, 6087, 9479, 13609, 18471?\nAnswer: 24059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + s + 891 = 0, 5*s + 159 = 4*p - 3*p. Suppose p = -3*d + 317. What is the remainder when d is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xn when two letters picked without replacement from {a: 1, e: 2, g: 3, d: 5, x: 3, n: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 1\/2*g**3 - 1\/24*g**4 - 2*g**2 - 8 + 0*g. What is v(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 13) to base 5\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 62. Calculate the lowest common multiple of z and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 6*p - 5*p. Let k(m) = 8*m + 11. Let w(n) = -7*n - 7. Let z(v) = 2*k(v) + 3*w(v). Calculate d(z(s)).\nAnswer: -40*s + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 349, 68 in decreasing order.\nAnswer: 349, 68, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12505 is divided by 272?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -585 - -353. Let f be (-290)\/s - (-2)\/(-8). Let y(b) = 1. Let m(x) = x**2 + x - 6. What is f*m(n) + 5*y(n)?\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -9*t**5\/20 - 3*t**4 + 1309*t**2\/2 - 2*t + 285. Differentiate p(x) wrt x.\nAnswer: -27*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218366 = 3932*v + 111922 for v.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*o = 2*u - 572*o + 1677, -2*u + 4*o = 1692. Sort u, -0.1, -2, 3\/4 in descending order.\nAnswer: 3\/4, -0.1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 3*i**2 - 5. Let b(j) = -j**2 + 9*j + 12. Suppose n = 4*n - 30. Let a be b(n). Let m(u) = u**3 + 2*u**2 + 4. What is a*r(v) + 3*m(v)?\nAnswer: v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 2. Let f = 39 - 37. Let s(j) = -j + 1. Let w(t) = f*b(t) - 2*s(t). Let u(k) = k. Calculate -5*u(c) + w(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 18. Let d = -37 - -60. Let q = a + d. Solve 4*h - 5*j + 1 = 0, q = -3*h - 3*j + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49970357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose -h*j = 3*o - 12 - 15, 2*o - 3*j - 1 = 0. Solve -o*y - 2*c + 4 = 0, 4*c + c = -4*y + 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, -3\/5, -1, 3, -39, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1019190621 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*p - 30*p + 57936 = 0. Calculate the remainder when p is divided by 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17503\/4865 + 11\/4865. Factor b + 8\/5*f**2 + 1\/5*f**3 + 21\/5*f.\nAnswer: (f + 2)*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:38 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100581549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhxhxxxhjxxhxjx. What is prob of picking 2 j and 1 h?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 4*a - 3. Suppose -3*o - 3*f - 22 = -8*o, -22 = -o + 5*f. Let g be y(o). Solve 0 = u - g + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nksyiiiyi. What is prob of sequence syk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 330.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194149883\/570 + -340614. Calculate the common denominator of 191\/1140 and i.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2331 - 10201?\nAnswer: -13032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 315 and 9653085?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.428 and 16279.\nAnswer: 16279.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*g + 1)*(6 - 2 - 2) + 0*g - g + 0*g - 1 + g + 1)*(-354*g**2 + 197*g**2 - 235*g**2).\nAnswer: 1568*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 949 is divided by 64?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18360 (base 11) in base 5?\nAnswer: 1310333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 11*g + 9*g = -4, 3*i - 3*g = -3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/30*9\/(-27)*6\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + -890a0?\nAnswer: -89140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 1\/2*p**2 - 6*p - 2. Suppose 45*j = -104*j + 1639. Let k(c) = 1. Calculate j*k(u) + 2*y(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + -1)) + sqrt(448) + (sqrt(112)*2 - sqrt(112))))**2.\nAnswer: -823350 - 8400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28*q**3 - 2*q**2. Suppose 0 = 2*b - 91 + 9. Suppose -4*m - 3*x - b = 2*x, 5 = -x. Let g be d(m). Round g to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 44 = -2*g, -88*u + 19*u - 682 - 974 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Suppose 8 - 2 = r*t. Solve 2*f + 4 = 6*f + 4*l, -2*f + t*l = 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 148, -4, -5, 1, -1, 3 in descending order.\nAnswer: 148, 27, 3, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -30756a?\nAnswer: -307561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 47?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**3 + 2*d**2 + 4*d + 3. Let j(n) = 11*n**3 - 3*n**2 - 9*n - 6. Let h(l) = 4*j(l) + 9*t(l). Let g = -257 + 263. Determine h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*y - 15, 7*i - y = 2*i + 24. Suppose 3*l - 14 = 2*l + p, p = -i*l + 58. Solve l - 28 = n - 4*r, -30 = -5*n - 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29285 is divided by 236?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05879814619 to four dps.\nAnswer: 0.0588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -73 + 38 + 3734*n + 35 as z*n + i and give z.\nAnswer: 3734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 186988 and 186987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 55 * -0.11\nAnswer: -6.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-3 + 21 + (-3 - 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/30 - u**2 + 20*u. Let q(w) = -2*w. Determine q(l(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 3, -5, 40 in increasing order.\nAnswer: -34, -5, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558583800.\nAnswer: 2, 5, 17, 458407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2034360149 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*f = -4, p + 2*p = -f - 17. Let d(b) = -2*b**2 - 8*b - 3. Determine d(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/2 - 257337*s**2 - 22074110523*s\/2.\nAnswer: -3*s*(s + 85779)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -1.28, 1\/3 in decreasing order.\nAnswer: 11, 3, 1\/3, -1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 12*w + 2. What is g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 0.8, -8, -12, -1\/9 in descending order.\nAnswer: 142, 0.8, -1\/9, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-7))\/(-2) - (7\/14*-6 + -85)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*z - 33. What is the remainder when 31 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9649 - 0.0351. What is the nearest to -2\/5 in 12, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010100?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*s + 345, -3*s - 364 = -5*k + 227. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -222*h + 1. Let m be y(-2). Let w(n) = -443 + m + n - 2*n. Calculate w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 15. Let a be j(-9). Suppose -3*t + 63 = -a. Calculate the remainder when 43 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1067 and 1067.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34413.\nAnswer: 3, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*c + h, 3*c + 5*h = -c + 39. What is the second derivative of 15*d**2 - c*d + 5 + 6 - 11 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 39*t**3 + 45*t**3 + 36*t**3 + 1 - 168*t**3 - t**4 to the form v*t**4 + r*t + n*t**3 + i + c*t**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 239647 and 239481 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 172.8. What is the closest to -1\/2 in t, -0.14, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 less than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:27 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 4, 4007?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 6. Let j(d) = 2*d - 17. Let g(x) = 3*j(x) - 8*p(x). Let z be g(-5). Calculate the greatest common factor of z and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**3 + 6*t**2 - 35*t + 18. Let g be j(8). What is the highest common factor of 70 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -71, -167, -301?\n\"Answer: -19*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123757 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2404*b**3\/3 - 2794*b - 2105. What is the derivative of a(z) wrt z?\nAnswer: 4808*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/4 + 143371*m**3\/4 + 5137161877*m**2\/4 - 118211934387*m\/4 + 334129887585\/2 = 0. Calculate m.\nAnswer: -71697, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 273, -6, 1, 4 in decreasing order.\nAnswer: 273, 4, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -38693?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 16*s + 33. What is j(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 6. Let m be j(3). Sort 4, -5, 5, m in ascending order.\nAnswer: -5, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:38 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3545*z + 35044. What is a(10)?\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/10 of a century?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32123013 (base 4) in base 7?\nAnswer: -334146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16511040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 58 = -x, -g = 4*x - 21 + 14. Suppose 5*r - g + 20 = 0. Let o(k) = 7*k**2 + 4. Let n(c) = 1. What is r*o(a) + 4*n(a)?\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/774893 and 1\/62102139.\nAnswer: 434714973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/5 in -4, 154, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7901384256 to the power of 1\/2, to the nearest integer?\nAnswer: 88890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {t: 2, k: 1, d: 2, r: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*f**3*w**3 - 7*f**3*w**2 + 723*w**3 wrt f.\nAnswer: 87*f**2*w**3 - 21*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32325702 or -32325701?\nAnswer: -32325701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 1610.\nAnswer: -17\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j + 1. Let c be p(-1). Suppose -162 = 5*z - c. Let d = z + 28. Is d < -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*q = -1417*q - 372 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:51 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 2*u - 3*u + 3*u + 2*u + (3 + 2 - 3)*(4*u - 2*u + 0*u) - 3*u - 4*u + 6*u)*(u + u - 4*u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 3*v**3 + 3*v**3)*(-3*v + 5*v + 0*v + (-4 + 1 + 1)*(-v + 1 - 1) + 0*v + 7*v - 3*v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.45 rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsjsz. What is prob of sequence zjss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1 + (0 + 0 - 2)*(-4 + 2 + 4) + 1 - 4 + 1)*(33*b - 33*b - 19*b**3) to the form f*b**2 + z*b**3 + k*b + r and give z.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1778 is divided by 1765?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -202?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 3877*u - 2069076. Calculate r(-639).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4339845, -4339844, -4339843, -4339842?\n\"Answer: i - 4339846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2))**(1\/5)\/(b**(-1\/3)\/b**(1\/13))*(b*b**(3\/2)*b*b*b\/(((b\/(b**(-3\/2)*b*b)*b*b)\/b)\/b))\/(b*b**(2\/3)*b*b**(-4)) assuming b is positive.\nAnswer: b**(1432\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**2 + 76*c + 5. Let r(z) = -18*z**2 - 117*z - 7. Determine -7*m(j) - 5*r(j).\nAnswer: 6*j**2 + 53*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207459943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**4\/3 - 11*n**3\/6 - 24*n**2 - 3. What is the remainder when v(8) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42100441601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = z + 14. Solve 0 = -5*s - 2*r + 4*r - 7, -5*r = 2*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 + -99. Suppose 3*q - 300 = 4*v, -64*v + 58*v = 4*q - 502. Calculate the highest common factor of n and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/((-2)\/(-12)) + 35. Suppose m*z = 29*z - 9. Suppose 0 = -h, -4*g - 21 = -4*h - 5. Which is the second biggest value? (a) g (b) 2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4 - 5. Let d(a) = -a**2 + a + 2. What is d(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -11 + (-2 - (-6 + -8)) + 33 + 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/3 - (256 - 194)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -524 - 80a?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51020998*k**2 - 131295417 wrt k.\nAnswer: -102041996*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (100 + -153 - 28)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1441201140231 - -4?\nAnswer: -1441201140222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 - 8*r - 3. Calculate the remainder when 105 is divided by q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*n + 4)*(4*n**2 - 5*n**2 - n**2) + 3*n**3 + 12 - 12.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*l**5*t + 74*l**4*t**2 + 142*l*t**2 - 3*l*t + 4*t**2 + t wrt l.\nAnswer: -220*l**3*t + 888*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 14 + (-2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = u + u. Suppose -u = 6*r - 3*r. Let o(s) be the first derivative of -2*s**3\/3 - 2*s**2 - 2*s + 1. Determine o(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*l**2 + 124*l**2 - 254*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (-7 - (-3 - -1 - -3)) + (-9683 - -9702)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 44693967\nAnswer: 89387934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 5, n: 4, q: 5}. What is prob of sequence nq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**2 - 2 + 2 + 5*w - 4*w as k*w**2 + m + h*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674530791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 531 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*n. Let y = 49 + -53. Sort -16, n, 1, y in decreasing order.\nAnswer: n, 1, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/195*(-11)\/((-11)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 42*i - 81. Let q(p) be the first derivative of -i*p + 2*p**3 + 1\/4*p**4 - 10 - p**2. Determine q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 348*q + 2763. Give j(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-5)\/(-5)*-2*(-37)\/74).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.085 + -146.085. Let t = m + 145.901. Round t to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, 1, -33, 4 in increasing order.\nAnswer: -33, -4, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u - 1. Give v(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - r + 448 = 0, -t - 2*r + 9 = -86. List the prime factors of t.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-120)\/(-48)*((-336)\/10)\/(-3). What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*t + 5, -p = -0*p + 2*t + 1. Let r(d) = -3*d + 15. Let k be r(p). Let l(n) = 3*n**2 + 11. Does 17 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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 u be (3\/12)\/((-5)\/(-60)). Let q be (-3 + 15 + 2)*u. List the prime factors of (q\/(-8))\/((-9)\/36).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03668 in 0.36, -2\/3, -5?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50044 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*j + 75*j + 254 - 34 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4788\/71 or 66?\nAnswer: 4788\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6292 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 88*q + 3840\/11.\nAnswer: 2*(q + 4)*(q + 480)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 7, 1\/7, 78, 0 in descending order.\nAnswer: 78, 7, 0.2, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/35))**26*((y**(-8\/7)*y)\/y*y)\/y**11 assuming y is positive.\nAnswer: y**(-338\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45987 by -15329.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(243))**2*2 + 1*-2*(sqrt(243) + 1).\nAnswer: 54*sqrt(3) + 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4000 bigger than -4001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 177*d - 67. Calculate the remainder when m(63) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 4291\nAnswer: 9\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 20*o**2 - 21*o + 152. What is the thousands digit of b(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -104532, -209230, -313940, -418668, -523420, -628202, -733020, -837880?\n\"Answer: -u**3 - 104691*u + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from phpphh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122.8 - -122. Let p = -0.2 - 5. Let v = p + x. Sort v, 0, -2\/9.\nAnswer: v, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -2\/293, -4 in descending order.\nAnswer: -2\/293, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.5, 35\/2, -510\/49, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - 12*l - 30. Let t be u(-7). Suppose v + 4*m + 101 = 405, t*m + 25 = 0. Is 54 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 5. Let z(g) = 2*g + 3. Suppose 0 = 32*k - 162 + 2. Let u(j) = 4*j + 5. Let a(y) = k*z(y) - 3*u(y). Determine a(b(c)).\nAnswer: 12*c - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.4 - 27.567. Let g = -2246737 - -2246736.8330093. Let w = d - g. Round w to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*u + 20 = 0, k + 4*u - 7 = 9. Suppose -2*b + 18 + 14 = k. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2. Let p(r) = -3885*r**2. What is p(t(g))?\nAnswer: -97125*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:06 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/15 (b) -1 (c) 13 (d) 11358 (e) 0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8*f**3 - 3 + 0)*(-23 + 21 - 26) + 4*f**3 - 2*f**3 - f**3.\nAnswer: -223*f**3 + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26110 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 g(v) = -4*v**3 + v**2. Let w = -12 + 13. Let h be ((-14)\/6)\/(w\/9). Let c be h\/18 + 2\/12. Calculate g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1546, 1637, 1932, 2533, 3542, 5061, 7192, 10037?\n\"Answer: 17*u**3 - 28*u + 1557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 4. Let x be j(-3). Suppose 5*r + 4*m = -0*r + 168, -x*m = -r + 28. Let d(o) = -16*o + 1. What is the remainder when r is divided by d(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-2*42\/(-28). Suppose m*q - 2*q = -2*i + 10, -q - 15 = -3*i. Solve 3*u + q*o = -4*o, 5*u - 5 = -5*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 63490.7 micrograms?\nAnswer: 0.0000634907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5881972 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:15 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 201.6 * 0.07\nAnswer: 14.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77880 and 47200.\nAnswer: 1557600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163046*g*h**2*s + g*h + 7*g*s + 3*h**2*s + 540*h + 6*s + 1 wrt h.\nAnswer: 326092*g*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**4\/3 - 25441*j**3\/3 - 13510724*j**2 - 84123783*j - 20186658 = 0. Calculate j.\nAnswer: -3177, -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and 6.4796.\nAnswer: -336.9392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 53*t**2 + 106*t - 184. What is the remainder when 9033 is divided by s(-55)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.22 to one decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2015 divided by -403\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y + 0)*(10 - 6 + 10).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61450 is divided by 1173.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10476 - 63*u**3 - 6*u**4 - 10466 - u**2 + 20945 in the form p*u + f*u**4 + r + g*u**2 + n*u**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20073 not equal to -20072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*l**3 - 79*l**3 + 269*l**3 + 22*l**3.\nAnswer: 366*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313 + -33?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**2 - 10050*s - 10045 = 0. Calculate s.\nAnswer: -2009, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/(x\/(x**(2\/27)\/x))*x**(2\/3)*(x**(-3)*x*x*x*x)\/x)\/((x**(-1\/8)*x\/(x\/x**(3\/8)))\/(x**(-3\/7)*x**6)) assuming x is positive.\nAnswer: x**(-2977\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -565.6 + 566.6. Which is the closest to -0.1? (a) 1\/2 (b) -0.2 (c) -4\/19 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**2*a)\/a)\/((a*a**(5\/6))\/a)*(a\/(a\/a**(-1\/7)))\/(a**(-6)*a))**(-7\/3))**33 assuming a is positive.\nAnswer: a**(-3245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12637 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1305 and 9906255?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, x: 1, q: 1, a: 1, p: 1}. What is prob of picking 1 a, 1 p, and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 47*v - 2812 = 0. Find the second derivative of -5*m + 703 - v - 14*m**4 wrt m.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppccczggcgccggcccg. Give prob of picking 1 c and 1 g.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17767*c**4 - 34*c**2 + 5*c - 1 wrt c.\nAnswer: -426408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*g + 5*x = -219, 71*g - 74*g - 30 = 2*x - x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:21 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 38*p**2 + 36*p - 25. Let h be q(-37). Solve -23*x = -19*x - h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/10*(-3 - 57\/(-9)). Sort 5, 7, m, 1, 6 in decreasing order.\nAnswer: 7, 6, 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 467 + 452 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*f + 16147 = 13658 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 37*k - 8. Let m be a(19). Suppose 114 + 128 = m*z. Is 24 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 + 14*g + 28. Let y(d) = -7*d**2 - 14*d - 28. Let t(w) = 6*h(w) + 5*y(w). Let q be t(-14). Let f be (-4)\/4*0 - -4. Solve q = -f*m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f**2 + 11*f**2 + 8*f**2 - 2 - 117*f**3 + 10*f**2 as p*f**3 + x*f**2 + y + z*f and give p.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 813093695 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*r - 45001 = -4937. List the prime factors of r.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 1.548173?\nAnswer: 1.451827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 2*d - 260. Is 38085\/(-6)*(-1 - (-12)\/d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339194356 divided by 898?\nAnswer: 377722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8.2128 (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by -10*(-3 - (-18)\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11012 is divided by 262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -2 - -22 - (1 - (2 - -1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-45))\/((-3)\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-89 + -69 + 101).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 + 8*d**3 - 4*d**2 - 8*d = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*b + 66*b + 36 = 0. Suppose -1245 = -5*y + b*y + 5*z, -3 = z. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.26, 3\/10, -17, 0.06, -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-8))\/(1\/(-44)). Let j = 76 - c. Let z(y) = -260*y + 14338. What is the remainder when z(54) is divided by j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -7, -24, -67, -148?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:27 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let h be t + (120\/(-26))\/(-4). Let q = -5 - -1. Which is the third biggest value? (a) -0.4 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (945\/30)\/(12\/22*(-550)\/(-200))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (703\/57 - 13) + 100\/42. What is the second smallest value in 0, g, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*n**2 - 60*n**2 + 18*n**2 + 10918 - 2*n**3 + 3*n - 10894 + 0*n to the form x + f*n**2 + v*n**3 + z*n and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - a035617?\nAnswer: -a035612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1983611 or -1983613?\nAnswer: -1983613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-21)*(-6)\/(-16). Is 7 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1965403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 - 7*f**2\/2 - 5*f - 19. Let m be i(8). Suppose 0 = 3*v + m*x - 606, v - 4*x - x = 178. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - -171.5. Put r, -9, 2\/9, 0.3 in descending order.\nAnswer: r, 0.3, 2\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 60 = -3*g, -y = -3*y - g + 52. Let s be 6\/4*y\/(-18). Is 6 + s + -1 + 138 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 + 468\/27. Let n = -22 + 27. Let v(a) = a**3 + a**2 - 4*a - 11. Let l be v(n). Calculate the greatest common divisor of l and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 531 - 535. Let y(f) = 2*f**2 - 2*f - 30. Let d be y(x). Solve -3*v - 2*v = -3*z - 10, d = -z + 5*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 27*u**3 - 88*u**3 - 3*u**2 + 35977*u - 35977*u as a*u + k*u**2 + i + z*u**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (77\/(-14) - -5)*(1 + -9). Let t(r) = -2*r**3 + 3*r**2 - 4*r + 2. Let u(v) = v**3 - 2*v**2 + 3*v - 1. What is o*t(n) + 6*u(n)?\nAnswer: -2*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 8:14 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54, 26, -2, -30?\n\"Answer: -28*r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -2, 29, -6 in descending order.\nAnswer: 29, 14, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9290148 divided by 12\nAnswer: 774179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1011 - 1009. Find h such that 3*h**u - 6\/5 + 9\/5*h = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, w: 2, a: 6, e: 1, x: 2}. What is prob of sequence ww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010011001011 - -1011000000101?\nAnswer: -11111011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-14) + 4\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/9 and -39\/502.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 4*i - 3. Let r be (-2)\/(16\/(-10) - -2). Let v be l(r). Let s = v - 5. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptttttpwtata. Give prob of sequence wwt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5\/2 (c) 0.3 (d) -3\/8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:21 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2256 - -31?\nAnswer: -2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 + 5*b - 6. Let a be k(2). Suppose -a*x + 16 = -3*x - p, -16 = -4*x + 4*p. Sort -1, x, 41 in decreasing order.\nAnswer: 41, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(425) - sqrt(425)*-1))**2 + ((sqrt(357)\/sqrt(7))\/sqrt(3)*4)**2.\nAnswer: 60*sqrt(17) + 1981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 201\/(-69) - 3. Let h be (4\/40)\/(6\/(-15)). Let p(d) = -5*d**3. Let c be p(1). What is the closest to 2\/3 in x, h, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 s when four letters picked without replacement from qfsqqqssssf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 250281 and 544?\nAnswer: 136152864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 3903387?\nAnswer: 390338.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/5 + (-6)\/(-10). Let a be y - (-1 - -7)*-1. What is the second derivative of -2*j - 2*j**a - j + j wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324386773.\nAnswer: 324386773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i. Let y(b) = -13523*b + 347. Give y(t(p)).\nAnswer: 94661*p + 347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**5 + u**3 - u**2 + u. Let k(x) = x**5 + 4*x**3 - 5*x**2 + 4*x. Let w(z) = k(z) - 4*v(z). What is the third derivative of w(h) wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40194?\nAnswer: 2, 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + (-84)\/30)*25. Suppose -12*f + 10*f = z*o - 2, 5*o + 4*f - 4 = 0. Sort -3, o, -136 in descending order.\nAnswer: o, -3, -136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122364*n**3 - 4*n + 1230.\nAnswer: 734184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3494223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*j + 21. Let y(f) = 4*f**2 + 10*f - 1. Let t(z) = -z**2 - z - 2. Let l(q) = -5*t(q) - y(q). List the prime factors of l(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31123, 31129, 31135, 31141?\nAnswer: 31147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 130265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -56383 (b) 1 (c) 141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*u - 13*u + 13*u - 2)*(11*u**3 - 8*u**3 - 41*u**3).\nAnswer: 8436*u**4 + 76*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -450*q - 283*q**4 - 66*q + 165*q - 2*q**5 wrt q.\nAnswer: -40*q**3 - 3396*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.3. Let b = -1009\/3036 + -1\/1012. Sort 2\/5, b, w in increasing order.\nAnswer: w, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2. Let k(c) = 13*c**2 + 4*c. Let u(d) = 130*d**2 + 39*d. Let p(j) = 39*k(j) - 4*u(j). Give q(p(m)).\nAnswer: 1014*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22747 + -22759. Let f(o) = -o - 34. What is f(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.519 rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3024 (base 12) to base 8\nAnswer: 12134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 483840 or 483854?\nAnswer: 483840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:36 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-131)\/(-2))\/((-2)\/(-12)). Suppose 5*o = 2*o + z. Suppose -2*j + 0*j = 5*t - o, t - 5*j - 10 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = -5. Suppose 6*p - 80 = z*p. What is the highest common factor of 220 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5 - (-18459)\/(-7))\/10)\/1. Let d = s - -265. What is the second smallest value in -2, 0.014, d?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8182?\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 48\/(-25) - (-21516)\/(-36675))*(-3)\/(-41)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -27 - (2 - 0 - 4). Suppose -280 = -23*c - 96. Let u be (-1)\/3 - (c + 94\/6). Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 93\/13 + (-16)\/104. Let p be (-176)\/(-7) - 1\/s. Calculate the greatest common factor of 200 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5687000 to the nearest ten thousand.\nAnswer: 5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 36.\nAnswer: -7\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 - 3)*(-2*s - s + s)*(s - 16*s - 11*s - 1)*(6 + 0 - 3).\nAnswer: 1248*s**2 + 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v**0\/v)**23 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*v - 25 + 1, -12 = 4*v + n. Is -20\/7 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 3*g + 1. Let r be 2\/2 + (1 - 2). Let a be (-1)\/2*0 - -2. Let l = a - r. Determine x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 15*i + 18. What is the units digit of k(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.4 (c) 1 (d) 2 (e) 8 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.3. Let b = -0.07 + m. Let o = 0.23 - b. Put -5\/4, -1, o in increasing order.\nAnswer: -5\/4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1677*m**3*u**3 + 2450*m**2*u**3 + m**2 wrt m.\nAnswer: -10062*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 40.222 times -0.04526\nAnswer: -1.82044772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*j + 38 = 45, k = -3*j - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -64792*z**2 + 18*z - 4. Let v(a) = -21597*a**2 + 6*a - 1. Let i(m) = -4*h(m) + 11*v(m). Let k be i(5). What is k rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 46*q - 1260. Determine b(29).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 0 = 24. Suppose -2*h = -4*h + g*x + 8, 0 = 4*h + 4*x - 16. Let w(q) = -q**3 + 4*q**2 - 2*q + 3. Give w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37053 (base 10) in base 15?\nAnswer: aea3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (752*f + 582072 - 582072)*(1 - 1 + f) + 0 - 2*f**2 + 0.\nAnswer: 750*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8\/45 - -2\/9. Let g = 322\/5 - 65. Let m = q + g. What is the nearest to -1 in 1, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18575 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 7*a + 2*a)*(15908*a**2 + 16418*a**2 - 38292*a**2) as z*a + l*a**3 + v*a**2 + x and give l.\nAnswer: 11932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 23 - 12 - 3*d)*(10*d**3 - 11*d**3 + 3*d**3 + (-6*d + 3*d + d)*(-10*d**2 + 6 - 6)).\nAnswer: -66*d**4 - 44*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 9*a**3 + 2*a)*(57*a + 81*a + 10*a**2 - 190*a).\nAnswer: 90*a**5 - 468*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 23788?\nAnswer: -23800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b = 578044 + 819534. What are the prime factors of b?\nAnswer: 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1.8. Let w = 0.1 - 0.6. Let q = -0.2 + 0.4. Which is the smallest value? (a) w (b) q (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/((2\/10*-2)\/(6\/(-15)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.45, -5, 0, -0.1, 3.\nAnswer: -5, -0.1, 0, 2.45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 6*n**2 + 4*n**2 + 2*n.\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4 and -97\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u + 174. Let v(p) = 20*p - 173. What is 6*q(k) + 7*v(k)?\nAnswer: -4*k - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(-48 - 121 + 59)*(2 - 3 + y - 4) in the form o*y + u and give u.\nAnswer: -1100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*t + 2*r - 9 = 139*t, -5*t + 2*r + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -40 + (2 - (-2 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 624105 or 624107?\nAnswer: 624107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*x = -9832, 5*u + 3003 = -2*x + 52075. What are the prime factors of u?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3976?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yluluyyyyl. What is prob of picking 2 u and 1 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 69889686.3ms?\nAnswer: 0.11555834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 259*136\/807534 + 7*6\/(-819)?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0944 + 83.7944. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 34 = 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 36*l + 329. Let u be k(20). Solve -p + 27 = -5*q, -5*p + 4*q + u + 21 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 3:43 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -85, 0.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5205583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98474, -197377, -296278, -395177, -494074, -592969, -691862?\n\"Answer: j**2 - 98906*j + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.999933 - -59. What is p rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 99, 141, 233, 381, 591, 869, 1221?\n\"Answer: n**3 + 19*n**2 - 22*n + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*x = 90*x - 288 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 117931, 471629, 1061117, 1886389, 2947439, 4244261, 5776849, 7545197?\n\"Answer: -m**3 + 117901*m**2 + 2*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -103524?\nAnswer: 103525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/5)\/((2470\/(-7600))\/(26\/(-8))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/216 and 7\/360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122907 > 122095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/180 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*v - 23 = 0, 5*r + 2*v = v + 43. Suppose -5*y = -28 + r. Suppose -y*l + 3*l = -g, 5*g - 30 = -5*l. Solve g*u + a = 2*u + 1, -5*u + 2*a = 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - (5 - 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 395669783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597280 is divided by 22120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928518786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -577 + 917. Let v = -258 + 2658. Let y be (k\/12)\/((-2)\/v). What is y rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y**2 - y**2 + 5*y + 3 - 2. Let f be (12\/(-10))\/((2 + -6)\/20). Give j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02382945 or -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, 0, -7 in decreasing order.\nAnswer: 0, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/3*0 - 2) + 174?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.566 + -134.554. Let n = s + 131. What is n rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2 + 1. List the prime factors of 0 + -3 - -6 - f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83142144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -4, -35, -1, 1 in descending order.\nAnswer: 3, 1, -1, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.88792.\nAnswer: -2.11208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148357\/7 + -21194. Suppose 0*y = y - 2. Which is the nearest to -2\/3? (a) j (b) 8\/5 (c) y (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5936 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(-2\/5)*x*x*x)\/x))**(-2\/9)*x**(2\/15)\/(x*(x**7*x)\/x) assuming x is positive.\nAnswer: x**(-338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 62*l - 18*l - 25*l + 6 - 20*l - 2. Let f(o) = -o + 1. Suppose 16 = 2*h - 6*h. Calculate h*f(y) + c(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152105088 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100 (base 2) to base 6.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/15)\/((-8)\/(-20)*-1). Solve -u*k = k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14 - 20 - 1. Let g(a) = -10. Let k(z) = 5*g(z) - 7*o(z). Let i(b) be the third derivative of b**4\/12 - b**3 - 2*b**2. Calculate -i(s) + 6*k(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/271039 - -1998370534\/3523507. Let v = 567 - w. What is the closest to 1 in -21, 4\/3, v?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11879224*l + 8061290.\nAnswer: -11879224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t**4 - 189*t**3 - 78*t**2 = 0 for t.\nAnswer: -2\/5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 634 - 2808 = -2*x, -x + 4*y + 1072 = 0. Does 73 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -228.\nAnswer: -1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2091 = 22*w + 141*w + 1927 + 546 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -2, 1 in ascending order.\nAnswer: -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o + 13. Let j(q) = -522*q. Calculate j(k(m)).\nAnswer: -3654*m - 6786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/34)\/2 - 22969\/(-1751). Solve -12 = 5*r + i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 48 = 3*f + 161 for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98464 to three dps.\nAnswer: 0.985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.698187 millennia in years?\nAnswer: 6698.187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/45)\/1*3\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l - 5*i + 9, -i + 11 = 4*l. Solve 6*g = l*g - 3, 3*m = -2*g - 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 13752*j + 13749*j - 21, -j + 33 = -5*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfiififikkxkiff. What is prob of picking 1 k, 1 i, 1 f, and 1 x?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**9))**(2\/7) assuming f is positive.\nAnswer: f**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 370, 371, 370, 367, 362, 355, 346?\n\"Answer: -a**2 + 4*a + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(170\/(-14875)*50).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21*g - 265 = -18*g, 0 = -h - 5*g + 139. Let u = h + -79. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-340)\/(-1530))\/((-1)\/(-18)). Let u(o) = 9*o - 19. Give u(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168504 = -274*f + 156*f. Calculate the greatest common factor of f and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*q + 537, -q - 540 = -3*w - 0*q. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**2 + 1\/3*g**3 - 1\/4*g**4 + 1 + 3*g. Is 5 a factor of w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 18312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552366 is divided by 32487.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Suppose 4*j + 8 = -4, 5*j + 27 = 4*b. Factor 2*n**4 + 0*n**3 + 0*n**b + s*n**3.\nAnswer: 2*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 7, u: 2, b: 1, o: 3}. What is prob of picking 2 s?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f = 3*f + 1554 - 1322 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 7*o + 6. Let u be c(6). Let z = u - -3. What is the second derivative of 5*x**4 + 3*x - 7*x**3 - 8*x**z + 15*x**3 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -2.6. Let m = 3.937 - -0.063. What is the biggest value in m, x, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2600 - -2604. Solve -3*w + 2*b - 9 = 0, -w + c*b - 4 = -1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -715*i**4 + 9*i - 166607 wrt i?\nAnswer: -2860*i**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/31038 or 1?\nAnswer: -1\/31038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/17))**(-3\/28)*(v\/v**(8\/3)*v)\/v**(-3\/4) assuming v is positive.\nAnswer: v**(32\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {p: 1, y: 3, k: 3, e: 4, v: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7249781285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfa when three letters picked without replacement from {s: 7, f: 2, a: 1, n: 6, e: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 109704.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67896 and 247066?\nAnswer: 8894376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/24 and (-2)\/12*(-9)\/1728*-321.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372566268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426452 and 144.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 4*p + 43. What is q(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:57 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2700.828 - -2702. Round x to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (13 + (-12 - -24 - -9 - 17))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374456.\nAnswer: 2, 46807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -99721461076.\nAnswer: -99721461076.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -682*z**3\/3 - 239*z - 1173. Differentiate w(s) wrt s.\nAnswer: -1364*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -48*l**2 - l + 2. Let n be i(1). Let w = n + 70. Does 23 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 1, g: 1, c: 3, e: 8, o: 3}. What is prob of sequence ov?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2972*z - 765. Let y(t) = 18*t**2. Determine s(y(m)).\nAnswer: -53496*m**2 - 765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378 = -9*f - 288 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*i**3 - 180*i**3 - 1 + 4*i**2 - 4*i**2 + 335*i**3 + 222*i**3.\nAnswer: 967*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/7 + 4\/21. Let g = 3.4 - 3. Which is the smallest value? (a) j (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 86, 76, 64, 50, 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*r + 56591 = 0, 5*r = 4*h - 22579 + 67844. What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*s - 8*s**3 - 14*s + 29*s + 7*s**2 wrt s?\nAnswer: -48*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20314500.\nAnswer: 2, 3, 5, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2779317 and 19455216\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + m**2 - 9*m**2 + 3*m**2 + 7*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155 divided by 231?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -4 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5925\/(-45))\/(2\/(-12)). Suppose i - 1894 = -5*z, 738 = 4*z + 4*i - v. Calculate the highest common divisor of 162 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-718111)\/(-7) + (-288)\/1008 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*g + 0*g**2 + 3*g**2 + g**2 - 2*g**2 - 221*g to i + j*g + h*g**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 50*h - 27 = -51*h, 2*m - 370 = -12*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsmmsssass. Give prob of picking 1 t and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/sqrt(2) - sqrt(88)\/sqrt(2).\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266860349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*n = 7, -n + 6 = 4*f + 1. Let k be -63*f\/2*4\/(-6). Suppose k = -x + 2*x + s, -x + 22 = 2*s. Calculate the remainder when 37 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**2 + r - 1. Determine b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(12) + -5 - sqrt(60)\/sqrt(300))**2 + ((sqrt(720) - (-5 + sqrt(720) + sqrt(720))) + sqrt(720) + -6*sqrt(405))**2.\nAnswer: -548*sqrt(5) + 73166\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g**2 - 2*g)*(-g**2 - 2*g**3 + g**2) + 6*g**2 + 6*g**5 - 6*g**2 + 0*g**5 - g**5 + 3*g**5.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -25. Suppose 5 + b = -4*f. Let j be (0 - 1)\/((-243)\/(-216)*2\/(-9)). Sort -2, f, j in descending order.\nAnswer: j, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42426 divided by -573?\nAnswer: -14142\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4 + 5922*x**3 + 6265554*x**2 + 2719533350*x + 377419273716 = 0 for x.\nAnswer: -901, -258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 9\/2 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 4 + (1 - -1) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115\/7*v**3 - 1\/7*v**5 + 0*v + 0 + 0*v**2 - 114\/7*v**4 = 0. What is v?\nAnswer: -115, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 2452120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11.9 times 179\nAnswer: -2130.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*q - 155, 3*q + 3*b - 7*b = -121. Let s = -22 - q. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -43, -74, -125, -202, -311?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 12*o + 4. Suppose 8 = 4*h - 4. What is the units digit of w(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170.863511 + 170.88. Round y to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -58, -70, -82?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 245 and 56596540.\nAnswer: 396175780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2808)\/5148)\/(((-2205)\/(-616))\/(-15)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 10, 25, 40?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6318403, 6318388, 6318355, 6318298, 6318211, 6318088?\n\"Answer: -w**3 - 3*w**2 + w + 6318406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 7*o - 2*o + (o + 2*o - o)*(6 + 2 - 3).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 77 (b) 1 (c) -1354 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfbrorrrfbbfdr. What is prob of sequence bd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 558*w**6 + 1147*w**2.\nAnswer: 66960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11522 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 684\/(-126)*112\/96?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 2175?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5 = o, -4*o - 1 = -9. Suppose -18918453 - 21011555 = u*d + 2*t, -4 = t. Round d to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104673 and 158286.\nAnswer: 6489726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 0.253?\nAnswer: 4.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 343705 (b) -7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 121*k**3 + 3720*k**2 - 3600*k.\nAnswer: k*(k - 60)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 110420000 to the nearest one million.\nAnswer: 110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14852622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.14 - 0.86. Sort i, -0.4, 1\/4, -1\/4 in ascending order.\nAnswer: i, -0.4, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 9. Let v be p(9). Let k = -15 - v. Solve -5*j - 4*q = 28, q - k*q + 4 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747813 at most 4747848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*h + 7, -2*g - 18 = -5*h + g. Suppose -m = y - 79, -h*y + 201 = -m - 52. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 - 276072*d\/5 + 7443009.\nAnswer: 3*(d - 91889)*(d - 135)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 + 4*d. Let m(k) = -46 - 2*k + k**2 + 7*k + 48. Let u be m(-5). Suppose 8*o = -34 + u. Determine n(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 4*l**2 - 2*l + 3. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 6:41 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**4\/6 - 7*w**3\/6 - w**2\/2 + w. What is the units digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22002 - -4?\nAnswer: -21ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 23*x**2 + 2*x - 29. Let n be s(23). Solve 4*l - a = -n, 4*a + 4 = l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4 + 10 + i**2 + 0*i + 1 + 6*i. Let f be a(-5). Solve 0 = 4*j - q + 16, 5*j - f*q + 41 = -6*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 10)*1\/3. Suppose 5*j - 6 = p*j. Suppose y + j = 0, 5*r - 4*y - 136 = r. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.1 - 0.015. Let t = v + 0.215. Round t to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(0 + -1) - -15. Let s be (-1)\/(1\/b) + 0. Let i = s - -12. Which is greater: -8\/7 or i?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 21 + 6. Suppose 12 - v = -s. What is the tens digit of ((-24)\/s)\/(21\/147)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 2*x + 1. Let j be k(1). Suppose -75 - 17 = -j*v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49447, 98897, 148347?\n\"Answer: 49450*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-36)\/8 + (6 - 5089\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k - 1. Let n(o) = -o**3 + 10*o**2 - 8*o - 11. Let b(l) = -4*l + 1. Let x be b(-2). Let z be n(x). Let a(i) = 7*i + 3. What is z*a(w) - 5*q(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from bpppbpp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 1, u: 11}. What is prob of picking 1 h and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*d - 99 = 261, 3*i = -d - 200. Let x = -104 - i. Which is smaller: -35 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w**4 + 0 + 0*w**2 - 49\/4*w**5 - w + 53\/4*w**3 = 0. What is w?\nAnswer: -1, -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 202 and 3649130.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 788466853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*d**3*k - 151*d**3 - 5344*d**2*k + 431*d wrt k?\nAnswer: -61*d**3 - 5344*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 6*v**2 - 3*v. Give j(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -764528 + 6*z**2 + z**3 + 764528 - 1126*z to w + g*z**2 + y*z**3 + a*z and give a.\nAnswer: -1126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 1. Let y(u) = 6*u**2 - 4*u - 6. Let a(j) = 5*x(j) - y(j). Let q be a(-1). Solve -i - q = 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 + 1)) + 1 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 + 38. What are the prime factors of g?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 40 = -0*m. Suppose 4 = -w - 14. Let j = m - w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -4\/3?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-3)\/(3 - (-33)\/(-2)). Suppose o*r**5 + 0*r**2 + 0*r + 2\/9*r**3 + 0 - 4\/9*r**4 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 39*d**2 + 3*d + 129. Let m be g(-39). Let h = -5 + 8. Let b be 78\/m - h\/6. Let t(c) = 2*c - 5. What is t(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-2) - -5 - 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079704885 rounded to seven decimal places?\nAnswer: -0.000797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -1. Let j = -13523 - -13199.95. Let r = j + 323. Which is the smallest value? (a) 0 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:42 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**3 + 5*s**2 + 5. Let c(r) = -2. Suppose 120*u - 5 = 125*u. Let v(n) = 5*n**3 + 6*n**2 + 16. Let f(m) = u*v(m) - 5*c(m). What is 6*a(p) + 5*f(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 8:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4836)\/29016*4\/26?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + (-10 - 11)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 51. Let n be 11\/2 + 2\/(-4). Let a = n - s. Let d(z) = -5*z**2 - z + 1. Give d(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 + 74. Solve 3*g = 2*n + 6, -2*n - 5*g + d = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3142*u**4 + u**2 - 25365*u wrt u.\nAnswer: -37704*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946 divided by 4?\nAnswer: 973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/7 - 10*f**2\/7 + 26*f\/7 - 2 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -113. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305629 is divided by 70.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 7*o - 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214 + 210. Let q be ((-8)\/(-28))\/(5\/40*s). What is the closest to -1 in 1, -0.5, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/381 and 59\/513.\nAnswer: 65151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587226?\nAnswer: 2, 3, 97871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 142 = -2*p, -p - 2*y + 2819 - 2860 = 0 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -352, -532, -746, -1018?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g. Let q(f) = -f**2 - 5 - f**2 - f**2. Let j(w) = -4*w**2 - 6. Let s(i) = 5*j(i) - 6*q(i). Calculate u(s(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1281, 4253, 9215, 16173, 25133, 36101, 49083?\n\"Answer: a**3 + 989*a**2 - 2*a + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/127, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 240*j**3.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 76242?\nAnswer: 533694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -4*o + 3*q, 5*o - 393 = q - 109. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*p = 8, 0*h - 5*p + 20 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 41, 1\/8 in decreasing order.\nAnswer: 41, 2\/13, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7082.\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:32 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 166792356 and -45480?\nAnswer: 166837836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89 - -1375.52699993?\nAnswer: 1374.63699993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6847.117 minutes in microseconds?\nAnswer: 410827020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 119451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from uvveuuvueuuevuuuueuu?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*t**2 - 415*t**2 - 320*t**2.\nAnswer: -1083*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 490\/140*(0 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/292 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 827e - -ce9?\nAnswer: 8f67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ekkkmkve?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 - -155 - (0 + 2 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((x**(-10)\/x)\/x)\/x)\/x)\/(x\/(x**(-10)\/x)))\/((x\/(x*x**10))\/x*((((x*x**(-14))\/x)\/x)\/x)\/x))**11 assuming x is positive.\nAnswer: x**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvfvvvgcvvvvgfv. Give prob of picking 1 f and 1 v.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 + 5*p**4 - 3*p**2 + 4*p**2 + (-4*p**3 + 3*p**3 - p**3)*(0*p + 2*p - 4*p).\nAnswer: 12*p**4 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1718071 and 6239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 6. What is the tens digit of p*(15\/(-10))\/((-6)\/22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 48*q**2 + 42*q - 271. What is c(4)?\nAnswer: 665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3535 + -3269. Calculate the least common multiple of 38 and m.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4480.3 + -4480. Sort -0.3, 352, 0.5, -0.5, k in descending order.\nAnswer: 352, 0.5, k, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10575 is divided by 2112.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 6. Let a(p) = -p + 34. Let w be a(b). Suppose 0 = w*i - 18*i. Are -4\/7 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnmqnnqrrq. What is prob of picking 1 r and 1 q?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11735 + -11286. What is the remainder when g is divided by 105?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 1 - 1)*((4 + 22 + 8)*(1 + 0 + 0) - 4 + 3 - 2) to x + d*b and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2\/5)*w)\/w)**18)**50\/((w\/w**2)**(-9))**(-1\/11) assuming w is positive.\nAnswer: w**(5949\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -88051 at least as big as -88044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3576*d**2 + 1355 wrt d?\nAnswer: 7152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/12*(60372\/45)\/13. Suppose 2*s - 2*a + a = 358, 0 = a - 2. Let c = s - z. Is c at most as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 - -140. Let v be 3 + (2 - 3 - -1). Is -4 - (k - v) - -804 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Suppose 0 = 2*o - 4*d - 14, -2*o + z*o + 22 = -2*d. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - b + 7. Suppose 5*k + 10 = -5*z, 5*z - z + 14 = -2*k. What is the remainder when 35 is divided by h(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (-5 - 0) + 118 + -105\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19102.\nAnswer: 2, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -2\/5 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 - 140. Solve -n*l = 2*l - r - 17, 0 = l + r - 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -289 + 283. Solve -x*f + 0 = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 17. Let r be q(7). Solve -2 = -j + b - 1, j - r*b + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*v**2 + v**4 + 2*v - 2 + 9286720*v**3 - 3*v**4 - 9286719*v**3 as i*v**2 + w*v + r + x*v**4 + n*v**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*q + 2 = -46, 0 = 5*g + q - 120. What are the prime factors of (1 - -11) + g\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:32 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9020194?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 114*d + 686. Let g be j(-6). Which is the nearest to g? (a) 3\/7 (b) 22 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 40. Let w = -135 - -95. Let v = n + w. Is -23 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 5:28 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/108150 and 92\/75705.\nAnswer: 757050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 154*u.\nAnswer: 2*u*(u - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b (base 15) in base 7?\nAnswer: -1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 68 = 2*n - 36, 3*n - 2*p = 126. Calculate the greatest common factor of 188 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)\/d*d**(9\/2)*d**(-7)*d**(1\/4) assuming d is positive.\nAnswer: d**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267 (base 13) to base 4.\nAnswer: 12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -112442?\nAnswer: -112444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**5\/40 - f**4\/8 + f**2 + 6*f. Factor g(z).\nAnswer: -(z - 1)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1491 or -1460?\nAnswer: -1460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 19*q + 155. Let o be f(-25). Calculate the greatest common factor of o and 1385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1543 + 0.1543. Which is greater: u or -2\/375?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*l - 34, -l + 3*s - 5*s - 1 = 0. Let q(g) = -4 + g + l + 4*g**3 - 5*g**3. Give q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 + 16 = -2*s, -c - 5*s - 12 = 0. Let l(h) = -43*h + 11 + 48*h + c. Is 9 a factor of l(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*g**3*v*z**3 + 4*g**3*z**3 - 393*g**3*z**2 + 2*g**2*v*z**2 - 8*g*v*z**3 - 2*v*z wrt z.\nAnswer: 330*g**3*v + 24*g**3 - 48*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 17*x**2 - x + 19. Let r be t(17). Suppose -r*k = 3*k - 185. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277 - 936 - 1553 + (1 + 0 - 2)*(0 + 3 - 4) + 1 - 2 + 0)*(3*r - 2*r - 2*r).\nAnswer: 2212*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 9*j - 11630. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 102. Let x = 19.99846 - d. What is x rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-22 + (-10)\/(-5)). Find the third derivative of 614*x - 14*x**2 - 2*x**2 - 614*x + r*x**3 wrt x.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -6?\nAnswer: -281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) 751185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 19*q - 16. Let f = 102 + -84. Let y be v(f). Suppose y*z + 5*b = 83, -z + 2*b - 39 = -2*z. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 7*b - 6*b + 22 + 9*b + b**3.\nAnswer: b**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 28 - 22. Calculate the remainder when (-455)\/(-5) - 4 - k is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069249116 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-14) - (-2255)\/77?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 3, m: 1, j: 1, f: 5}. What is prob of sequence jmd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.2, -9, 2\/3, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -255681 or -255682?\nAnswer: -255681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*a = -130*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006194535 to 5 decimal places.\nAnswer: -0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-22)*q**(-3\/25)\/q)\/(q*q*q**28*q)**(-1\/6) assuming q is positive.\nAnswer: q**(4057\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 495243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5710)\/15 - ((-5)\/(-15) + -1). Let l = 403 + g. What is the remainder when 182 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1974)\/(-1128)*(-4)\/3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5680000 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4980161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -12. Let u = -5 + t. Suppose u*x - 337 = 4*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 361306*h**3 - h - 869591 with respect to h.\nAnswer: 1083918*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271.1 rounded to the nearest ten?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**3 + 23*f**3 + 16*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6349717 - -3?\nAnswer: -6349714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7664169 or 7664204?\nAnswer: 7664204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-b + 2*b**3 + b)*(2 - 2 - b)*(0 - 4 - 1) as p*b**3 + y + q*b**4 + w*b + t*b**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 19*f + 54. Determine r(16).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103506817 to the nearest integer?\nAnswer: 10174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r. Let h be b(-1). Suppose -2*v + 9 = -n, 0 = -v - 4*n - 3 - 6. Let j(m) = -m - 3*m**v + 4*m**2 + 5 + 2*m**3 - m - 2. Give j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 302.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:35 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 994, 2731, 5306, 8725, 12994, 18119, 24106?\nAnswer: 30961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/4 - 16554*w + 132416 = 0.\nAnswer: 8, 66208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130878 and 319924.\nAnswer: 2879316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/2 + 2532*f**3 - 37737*f**2 + 158172*f - 245931\/2 = 0.\nAnswer: 1, 7, 1673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/187)\/(3\/(-33)*1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wswhszysszwhss. What is prob of sequence ysz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(343) + -1 + -1 - (sqrt(343) - ((sqrt(343) + -1)*-5 - sqrt(343)))))**2.\nAnswer: -2268*sqrt(7) + 111213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006145 to five dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, e: 2, y: 1, w: 3, t: 2, a: 2}. Give prob of sequence yeo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 151489 less than or equal to 5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68659311 a multiple of 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 130 (b) 1 (c) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/42 - (-1593614)\/357. List the prime factors of ((s\/30)\/6)\/(2\/10).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -71*l**3 - 3*l**2. Let n(o) = -3196*o**3 - 136*o**2. Calculate 136*b(q) - 3*n(q).\nAnswer: -68*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7983485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -29*g + 11. Let t(y) be the second derivative of -5*y**3\/3 + 2*y**2 - 23*y. Let v(j) = 11*t(j) - 4*w(j). Let u(c) = -2*c**2. Calculate u(v(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -325612, -325613, -325614, -325615, -325616?\n\"Answer: -l - 325611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -54*o**3 - 2*o**2 + o + 2. Let p = -205 - -203. What are the prime factors of n(p)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.592 - -254.592. Let q = b - 254.1179. Let g = q - -0.12. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88341 (base 12) to base 8.\nAnswer: -537741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 1. Suppose o = -0*o + 3. Let y be j(o). Suppose -y*g + 9 = 3. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((60\/575)\/((-2394)\/27531))\/(-1*(-176)\/(-10))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -1050. Let x be (w\/(-7))\/4 + (-4)\/(-14). Round x to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -19*p + 40*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) 4 (c) -1216 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21264 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1602*c**5*z - 49*c**2*z**3 + 82*c*z**2 + 5*c + 2*z**3 + 8*z wrt c?\nAnswer: 32040*c**3*z - 98*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19306.05 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 10*d + 9. Give a(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 4:07 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166974 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1744*k + 14053 - 49244 = 27593 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 + 101329*o**2\/6 - 50666*o\/3 - 101330\/3.\nAnswer: (o - 2)*(o + 1)*(o + 101330)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 510.3464 centimeters?\nAnswer: 5.103464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(153) + sqrt(17) - (1*sqrt(833) - sqrt(833)))**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - 1.94. Let o = n - -4. Which is smaller: -3\/4 or o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 3. Solve 11 - 2*d**s - 2*d**3 - 11 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:34 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0485646 to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000103892944 rounded to 6 dps?\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/29)*v**(1\/11)\/v)\/(v\/v**32*v\/v**(1\/21)) assuming v is positive.\nAnswer: v**(202129\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*q + 10 = 0, 5*f + 4*q = -13 - 81. Let y = f + 31. Let c(a) = -a**2 + 14*a - 12. Let n be c(y). Calculate the highest common divisor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 4 = -24*t, -4*y = 3*t - 71. What is the remainder when (2\/(-6))\/((-3)\/423) is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*z**5 + 12*z**2 - 2*z - 57?\nAnswer: 120*z**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 6*s**2 - 2*s + 17. Suppose 5*i = 4*i - k, -2*k + 10 = 0. Let d be z(i). Factor 0 - x - 13\/4*x**3 - 1\/4*x**5 - 3\/2*x**4 - 3*x**d.\nAnswer: -x*(x + 1)**2*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12 = 2*b. Let w be (8\/(-6))\/(b\/(-9)). Solve 6 = w*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 73.9. What is the nearest to x in -0.06, 2, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 57 = 2*h. Let k = h + -16. Let s = -3180.13 - -3180. What is the biggest value in s, -0.5, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 0.3, 0.4, -1\/6, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.4, 0.3, 0.12, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 620 - 790?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caicccacsaicicciaa. What is prob of sequence sc?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffzozffgzzoggog. Give prob of picking 1 o and 2 g.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**5 - 135*p**4 - 31*p**2 + 6.\nAnswer: 180*p**2 - 3240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3314744, -3314721, -3314698, -3314675, -3314652, -3314629?\nAnswer: -3314606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 4.6. Which is the biggest value? (a) r (b) 1\/3 (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -13 - -17 - 18) + (7 - (-2 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1175, -3263, -5353, -7451, -9563, -11695, -13853, -16043?\n\"Answer: -j**3 + 5*j**2 - 2096*j + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983733 is divided by 324?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 2*u + 7. Let n be 36\/10*5\/3. Let p(a) = -4*a**2 - 2*a - 8. Calculate n*b(l) + 5*p(l).\nAnswer: -2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15 - 21\/15. Let i be (-2)\/(-8) + f\/4. Solve x + 4*r + 4 = -3*x, i = -4*x + 3*r + 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.08. Let z = j - -3.08. Let c = -24695 - -24695. What is the third smallest value in 0.3, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/8 (b) -1 (c) 1.3392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = 0. Suppose 4*d - 4 = -a*d. Let f(m) = 27*m - 16*m - 13*m - 5*m. What is f(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -328 in -0.6, 0, -3, 4, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2081 + -0.3\nAnswer: -0.0919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/(-4)*(-4)\/142)\/((-84661)\/(-169322))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 191, 167, 143, 119?\n\"Answer: -24*j + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from ghgnc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let k be z(0). Let i(m) = -m**3 - m**2 + 12. What are the prime factors of i(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12.71 in 324, 2, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 35*a = -16247. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*v - 21. Is v - ((-57)\/6)\/((-1)\/(-758)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10534 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108414677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0005202884 + -0.00051. Round x to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -1197)\/2 + 8\/1. Sort 3, -2, f in decreasing order.\nAnswer: f, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25003 from 3947.\nAnswer: 28950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1915*s**3 + 882800 - 882800 - s**3 - s + s + (3*s**2 - 4*s**2 + 3*s**2)*(-2 + 2 + s) to the form m + y*s**2 + q*s**3 + c*s and give q.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246672182, 246672183, 246672186, 246672191, 246672198, 246672207?\nAnswer: 246672218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1960 and 13065920?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 21835?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 983*z - 208630 = 0. What is z?\nAnswer: 310, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.15 + -0.05. Let f = d + -5.1. What is the smallest value in f, 4, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 6878475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7*p + 2*p = -4, p + 64 = 5*n. Let c be (-12)\/(-16) + 495\/n. Calculate the highest common divisor of c and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*l - 464*l = 12 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726916 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 7548600 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 60 = 3*x, 45*j - 61*j - x + 335 = 0 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 626197 and 42601?\nAnswer: 70760261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 - 6*p - 4. Let f be h(-4). Suppose -b + f = -9. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + p - 30 - 318 = 0, 2*t - 224 = 2*p. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1528 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - 4*(-1)\/(-4). What is the nearest to 2 in 5, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -66373879, -66373870, -66373847, -66373804, -66373735, -66373634?\n\"Answer: c**3 + c**2 - c - 66373880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85084123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1640228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*(-117)\/(-702)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/2, 0.2, 25, -1, -1\/6 in ascending order.\nAnswer: -1, -1\/2, -1\/6, 0.2, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 126260.2 micrograms?\nAnswer: 0.0001262602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.2 + -21.2. Which is the biggest value? (a) f (b) 5 (c) 1 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (4 - 4) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3*p**3*s + 2*m**3*p*s**3 + 13*m**3*p + m**2*p*s - 201305*m*p**3*s**3 + 5*m*p**3*s - 20*p**2*s wrt s.\nAnswer: 12*m**3*p*s - 1207830*m*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18586*b**3*t**3 - 33869*b**2*t**3 + b*t**3 wrt b?\nAnswer: -111516*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362328437*j - 448722258 wrt j.\nAnswer: -362328437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 233 + 73 + 32 + 41 + 3*h**3 + 36.\nAnswer: 3*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**5\/20 + l**3\/3 - 2. Let h(y) be the third derivative of z(y). What are the prime factors of h(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1052421 + 0?\nAnswer: 1052421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 68. Solve 1 = o - r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 57. Let w be n(18). Let q(o) = -27*o**2 - 2*o + 13*o**2 + w*o**2 + 11 + 12*o. Calculate q(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64915 and -172.95612.\nAnswer: -65087.95612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/11)\/((f*(f*f\/(f**10\/f)*f*f)\/f*f)\/f*f*f)*(f**(-3\/7))**20)**(-22) assuming f is positive.\nAnswer: f**(872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*d**6 + 2*d**2 - 99*d + 59*d**6 - 113*d**6 wrt d?\nAnswer: -17400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1474664*q**4 - 2652307 wrt q.\nAnswer: 5898656*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -126. Suppose z = 12*p + 6*p - 27954. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 + 69. What is the lowest common multiple of 10 and j?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 11) in base 5?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 2*l. Suppose -3*k - 42 = -3*j - 0*j, -4*j + 51 = k. Let g = -18 + j. Let w(o) = o**3 + 6*o**2 + 4*o - 3. Let t be w(g). Determine d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.042 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -178 - -159.3. Let g = 1.1 - -7.3. Let x = m + g. What is x rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 30*x**2. Let y(g) = -2545765*g**2. Determine y(v(l)).\nAnswer: -2291188500*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42240606?\nAnswer: 2, 3, 37, 149, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78265.33 centimeters to millimeters.\nAnswer: 782653.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33324 - 33323. Sort l, -2.8, 6 in decreasing order.\nAnswer: 6, l, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005329 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 1391 + 1393, -j + 4*s + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 50*v + 70. Let m(s) = s**2 + 7*s - 8. Let z be m(-9). What is the units digit of l(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k = -3, -12 = 4*o - 2*o + 5*k. Let f be 20\/(-110) - 326\/22. Let t be ((-8)\/(-130))\/(-4 - 54\/f). Is t greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154119222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 36 = 2*y + 9, 5*l - 3 = -3*y. Let s = -6 + y. Solve s = -2*f + 5*u - 12, 2*f - u = -3*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -2) + -4 + 2 - -7) + 23.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 43*d - 1528. What is r(24)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256067048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 585 = -4*n. Suppose 10*c = c + n. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73 - -32340?\nAnswer: 32267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 9 + 15\/(-5). Is (4\/3)\/o*291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.75 - 521.429.\nAnswer: -482.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (2\/6)\/((-3)\/9). Suppose -13 = -j*y + 3*c - 32, y + 4*c = 0. Let b(l) = -8749*l + 4. Let z be b(y). What is z rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1704 + 1703.99063. What is s rounded to four dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 4*q**6\/15 - q**4 + 7*q + 1. Let y(h) be the first derivative of f(h). What is the third derivative of y(t) wrt t?\nAnswer: 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -205, -9, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -7*u**5\/10 + 11*u**4\/12 - 10*u. Find the third derivative of k(x) wrt x.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13743, -27507, -41273, -55041, -68811, -82583, -96357?\n\"Answer: -q**2 - 13761*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 60, 58, 38, -6, -80, -190?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.4 + -3. Let t(l) = l**3 - 3*l**2 - l + 3. Let p be t(3). What is the closest to p in u, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 79*v + 2070. Calculate the lowest common multiple of s(-45) and 345.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 28*u + 24*u + 4 = 0, -5*w - 16 = -u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861116 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - 15)*(-4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6*(-1)\/4)\/((-19)\/(-38)). Solve -3*r - 3 = -0*r, 0 = a*b + 5*r + 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 4, 54 in descending order.\nAnswer: 54, 47, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**6\/144 - g**5\/45 - 19*g**4\/144 - g**3\/6 - 4*g**2 - 9. Solve l(p) = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*c - 60*c**2 + 121*c**2 + 14*c - 64*c**2 to the form r*c + q*c**2 + l and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*p + 13 = 0, -3*m = -3*p + 1 + 8. Let r be ((-12)\/30)\/(1\/10). Is r greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -35\/33, 0.2, -3\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7644\/3380 - (-18)\/(-10)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 7*y**2 - 7*y - 5. Let p be f(-6). Let t = p + -1. Suppose t = -5*h + 49 + 16. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4270 + 4488. Which is bigger: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - s - 2*s - 5*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2226, -8755, -19656, -34929, -54574, -78591?\nAnswer: -106980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 40 = -5*q. Let r(u) = -u**2 + 8*u - 5. Let t be r(q). Suppose -4*d - d = 10. Sort 3, d, t.\nAnswer: t, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 9. Let p be w(-13). What is the highest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-13)\/78).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3 - 7*8\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -3*k - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/(-24))\/(186\/(-2340) + 6\/90) and 51?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 50 = -50 + 133. Solve a*s - 10*s = 2*u - 6, -5*s = 2*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + 1 + 77\/(-4) and (-130)\/(-676) + 1 + 7\/(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let s(j) = 5*j - 2. Let f(w) = 9*w - 3. Let v(b) = -6*f(b) + 10*s(b). Let q(m) = -15*m - 7. Let h(g) = 6*q(g) - 22*v(g). Determine a(o) + h(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.09 + 2.49. Which is the nearest to -1? (a) 0 (b) 4 (c) -0.3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 757*c**2 - 3071*c + 609994. Calculate h(754).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1547 - -6267\/4. Let o = 8\/31 + -522\/341. Find the common denominator of o and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 34484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -655\/3584 + 1\/4608. Let f = 7\/18 - v. Put 3\/7, -3\/2, f in decreasing order.\nAnswer: f, 3\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 - 7*o**2 - 14*o**2 + 12*o**2. Let m = -65 + 76. Let j(v) = -59*v + 2 + 9 - m. Give j(b(f)).\nAnswer: 59*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15602170?\nAnswer: 2, 5, 1560217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:05 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26538076 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 768 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: Let v be (30\/3)\/(6\/15). Let z = v - 4. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1005805\/1561 + 2\/4683. Let p = m - -634. What is the common denominator of -119\/48 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019682737 to 5 decimal places.\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -0.1 (c) 21 (d) -1\/2 (e) -3 (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 - i**2 + 1. Let s be f(1). Let x(k) = -s*k + 7*k - 7*k + 4*k. Let o(w) = w**2 - 3*w. What is -o(z) + 5*x(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5051 + 5051. Solve t = -14*d - 22 + 92 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112185581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -497961858 by 165987286.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*c - 49. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 18*n + 16016. Let w = n - 266. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-17)\/(-3060))\/((-2)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -491*f. Let g(v) be the second derivative of v**4\/6 - 2*v - 146. Give g(o(i)).\nAnswer: 482162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.906621 rounded to three dps?\nAnswer: -1.907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -97, -198, -333, -502?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*k - 13 = 0, 22 = 4*j - 3*k + 5*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*w = 248, 105*d = 104*d - 5*w + 131. Solve c - d + 119 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjjrjrrrjrrjjrrjjr. Give prob of picking 1 j and 2 r.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4552)\/(-25605))\/((-1)\/(6\/(-8))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcppocpooo. What is prob of sequence cp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 30*z**2 + z - 28. Let j be g(30). Suppose 3*i = 3*u + 9792, -i + j*u + 13046 = 3*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -2\/15, 4, 2\/5, -1 in descending order.\nAnswer: 4, 2\/5, 0.08, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2683, 2924, 3327, 3892, 4619, 5508?\nAnswer: 6559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1)*j)**(15\/4)\/(j**(-19))**(7\/6) assuming j is positive.\nAnswer: j**(223\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 7:04 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u - 5. Let j(t) = t - 2. What is -9*j(s) + 4*x(s)?\nAnswer: 4*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (13 - 11) + -1 + (-1 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let f be 27\/(-6) - (-9)\/6. Let q be (1 + f + k)\/1. Solve 0*d - d + 1 = q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23760 + 22935 = -75*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -156495905385 from -0.2.\nAnswer: 156495905384.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -103*r**2\/2 + 3*r + 1. Let o be w(-6). Suppose 4*v = -5*g + 5*v - o, 0 = -v + 1. Round g to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 1. Let q(n) = 15*n + 25. Let l(g) = 6*m(g) + q(g). Let w(y) = 26*y + 55. Let u(b) = 17*l(b) - 6*w(b). Calculate u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 4 (c) -2815.8 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 5*q + 219 + 1731, -2*w + 750 = -4*q. What is the highest common divisor of w and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 6*p - 2. Let w be 48\/(-40)*5*1. Let f(t) = -7*t**3 + 7*t - 1. Let o(n) = w*c(n) + 5*f(n). Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66759 >= 133517\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 45 + 1 - -2 is divided by (-990)\/(-75) - ((-12)\/(-10) - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = -3*w. Suppose -6 = -2*b, -109286 + 365197 = 5*u + w*b. Suppose j = -288819 - u. Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -97.7, -1913, 5?\nAnswer: -97.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**13)**(-23\/4)*((u*u*u*u**7)\/u*u*u)**(-16) assuming u is positive.\nAnswer: u**(-1003\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a factor of 963917515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*v - 33 = 0. Let m = v + -6. Suppose -4*w + 0*x = -3*x - 27, 21 = 4*w - m*x. What is the lowest common multiple of 4 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 7*u + 32. Let w = -2 - u. Let v be w\/(-10) + 603\/15. Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48499 - 48499 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 50, -3\/7, 0.1, 7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -63.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**3 + 6*f**2 + 3*f + 4. Let o(r) = -9*r**3 - 12*r**2 - 7*r - 7. Let j(u) = -11*a(u) - 6*o(u). What are the prime factors of j(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197509*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048068 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.04, -2.08 in ascending order.\nAnswer: -2.08, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -325 + 625. Suppose n - 6*n = -2*z + k, -2*z = -2*n - 294. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - b**2 + 0*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - f)*(-3*f - 1 + 1) + 65*f**2 - 206*f**2 - 260*f**2.\nAnswer: -398*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6840, 13765, 20690?\nAnswer: 27615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5822*t + 1809. Is r(-49) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/783 and (-1016)\/(-144)*3 - (-1 - 1).\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 724491 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let i(t) = -1838*t. Give j(i(d)).\nAnswer: 1838*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + 5*sqrt(208)))**2.\nAnswer: -120*sqrt(13) + 5209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 228926047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 7*i + 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 14*f - 11. Determine d(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 + 0 = 2*g, -5*g - 25 = -p. Put 3, p, 5, -6 in descending order.\nAnswer: 5, 3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*324\/75)\/(1*(-2)\/(-5))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -45*n - 263. Suppose 0 = -1159*a + 1162*a + 18. Calculate the remainder when 251 is divided by v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {d: 12, k: 3, h: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4636, -3, 1, 4, -1 in decreasing order.\nAnswer: 4636, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -683 + -3?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i - 2*i)*(-9*i**3 - 162*i**2 + 162*i**2) - i**4 - 2*i**4 + 2*i**2 - i**4.\nAnswer: 41*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 5*h = -4. Suppose -3*q - m = -229, -4*q - m = h*m - 298. List the prime factors of q.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*q + 5 = -353*q + t, 3*q - 15 = -3*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 16*o**2 - 6*o - 18. Is k(-6) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589491 and 4158.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -0.44. Let k = -0.46 + x. What is the closest to 1\/2 in k, -0.3, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5180 = 106*m + 157*m - 4*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101675 - 101688.0022. Let b = p - -13. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m. Let x(r) be the second derivative of 0 + 0*r**3 + 0*r**2 + 1\/3*r**4 + 4*r. What is o(x(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 - (318 - 270).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -4.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47, 11, 177, 451, 833, 1323?\n\"Answer: 54*t**2 - 104*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 206?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4*y*y**(-5)*(y*y**1*y)**(-2\/27))**(1\/39))**(3\/4) assuming y is positive.\nAnswer: y**(7\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4 + 9\/(-4). Let m(a) = -6*a**4 - 7. Let g(w) = -5*w**4 - 6. Let h(o) = x*m(o) + 3*g(o). Find the first derivative of h(k) wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*-5*(-2)\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*b**5*q - 576*b**5 + 4*b**2*q + 38*b*q + 21*b + 15 wrt b?\nAnswer: 680*b**3*q - 11520*b**3 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*c**2 - 3452*c**2 + 7092*c**2.\nAnswer: 160*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1620) + 0 + 4 + 4 - (-1 + -1*sqrt(1620) + sqrt(1620) + 3))**2 + 0).\nAnswer: -1656 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 19*w + 80 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 0. Suppose 3*g - 1 = 14. Suppose g*m = -15, -115 = -4*h + y*m - 2*m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dto when three letters picked without replacement from bboaabdoaabtddabdd?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11906 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 75)*10\/(-4). What are the prime factors of j\/(-4) + (-1)\/2?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/3 + w**2\/2 - 152*w. Determine y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9600002*f**2 - 4*f + 2. Let a be q(1). Suppose 7*b - 3*b = -a. What is b rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (52\/2 - 1) + 19 + -21. Suppose -w*f + 405 = -8*f. Solve 5*g - 2 = -f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 396300.9662 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 555628 divided by 4?\nAnswer: 138907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25378 to 3 decimal places.\nAnswer: 0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*v - 39 = -0*b, v + 43 = 5*b. Let j be 2\/(-3)*(-12)\/b. What are the prime factors of 3 - 3*j\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -100*o**5 - 723908*o**4 - 1311943812*o**3 - 6646295372*o**2 - 523307560*o = 0.\nAnswer: -3617, -5, -2\/25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 6. Let j(k) be the first derivative of -9*k**2\/2 + 13*k - 1. Suppose 24 = -5*o + o. Determine o*j(r) - 13*d(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546.6795 millilitres to litres.\nAnswer: 0.5466795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(343\/21)*(-4)\/18.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - b - 37, -5*p + 895*b - 898*b + 43 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5888 + 5888 + 334*h.\nAnswer: 334*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/11 and -101\/1558?\nAnswer: 17138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*q + 19*q + 2*q - 506 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 148*m**2 + 5*m - 3. What is the tens digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 2. Let b(k) = -2*k**2 + 2*k. Let i be (-1 - 8*1)*(-60)\/270. Let u be b(i). Give m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 + 6*f - 5. Let n be d(4). Suppose 0 = 2*g - 4*i + n*i + 7, 4*g = 3*i - 13. Round g to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6047, -12132, -18261, -24440, -30675?\nAnswer: -36972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*6*(18 + -17). Suppose -2*j + 57 = u*g - 187, -5*g - j = -395. Calculate the greatest common divisor of 39 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.922454485 rounded to four decimal places?\nAnswer: -1.9225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 25 = -2*r - 5*y, -4*y + 18 = 3*r. Suppose 3*b = 1 + r. Solve 0 = m + 3*k - b - 5, 3*k = 4*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwrrprp. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 3 + 2*n**2 + 17*n + 2 - 18*n**2 - 2. List the prime factors of r(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 4*t**2 + 54*t + 116. Let k be q(-2). Solve k = l + 4*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 1, z: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011000010111 - 1?\nAnswer: -100011011000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 659553620 a multiple of 2740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*q = 184*q + 941*q + 22132 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1020434 - 2?\nAnswer: 1020432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -4.78.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 15*h**4\/7 - 3*h**3 - 114*h**2\/7 + 228*h\/7 - 72\/7 = 0?\nAnswer: -3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/13 + 80*q**2\/13 + 159654*q\/13 - 19674612\/13.\nAnswer: -2*(q - 177)**2*(q + 314)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -5 - (-8 + 20 - 41).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let p(n) = -n + 47038. What is t(p(b))?\nAnswer: 2*b - 94076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11269 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -258*l - 24795. What is x(-96)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Let s be q*(40\/3 + 2). Suppose -s = -0*c - 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -54741 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from dlpaadllp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*2 + 21\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 654 = -3*a - 1170. Let q = a - -626. Suppose 0 + q*o**2 - 24\/5*o - 21\/5*o**3 = 0. Calculate o.\nAnswer: 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -1*(0 - (-2 - -1)). Suppose 2*y = 1 + n. Let z(k) = 47222*k**3 + 3*k**2 - 8*k - 12. Let b be z(y). Round b to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 40981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + (-8 - -15 - 10) + 6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (14 + -1 + -32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - -7. Let j(b) = b**2 - 4*b - 3. What is the remainder when r is divided by j(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 105 = -4*l - 3*u, -3*u = -5*l + 315. What is the hundreds digit of ((-596)\/(-8))\/(10\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -116 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q + 8*q - 1 - 14*q + 4*q**2. Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 18. Let c be n(-12). Suppose -5*g - c = -10*g - y, 4*y + 26 = 5*g. Suppose g*p = 7 + 1. Solve 0 = 3*w - 5*x + 10, -x = -0*w - p*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmk when three letters picked without replacement from {c: 1, d: 4, j: 2, k: 5, m: 1, h: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25797.96km in nanometers?\nAnswer: 25797960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1596?\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5 - 6) + 1 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -102*((-93)\/9 - -4). Suppose 1699 = 5*w - y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -1858908.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-72))\/(336\/960))\/((-30)\/4)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30379*j**2 - 1943*j**3 - 30379*j**2.\nAnswer: -1943*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4604 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 6 - 9. Suppose 5*o - 4*c - 27 = 0, w*o = -0*o - 4*c + 29. Suppose o*y - 12 = -t + 2*y, -3*t + 136 = -5*y. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16343?\nAnswer: 59, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2223*r**3*w**2 + 2*r**3*w - 4*r**3 - 13*r**2*w wrt w.\nAnswer: 4446*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*i**3*z - 2*c**2 + 2*c*i**3 + 6*c*i*z - 8*c*z - 143*i**2 - z wrt i?\nAnswer: 6*c**2*i*z + 12*c*i - 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-24))\/((-3)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -984*u**2. Let o(j) = -j - 7. What is b(o(c))?\nAnswer: -984*c**2 - 13776*c - 48216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -45*a - 268. Let k(o) = -93*o - 537. Let b(d) = -13*j(d) + 6*k(d). Find the first derivative of b(v) wrt v.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0)*(-85)\/34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Suppose 2*v + 18 = -3*l, -5*v = -5*l - 2 - 3. Let y = v + k. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 242 - 61)*(-2*v**2 + 6*v**2 - 3*v**2)*(2 + 0 - 3)*(1 + 3*v - 1).\nAnswer: -828*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 3, 38\/23, -0.249 in decreasing order.\nAnswer: 12, 3, 38\/23, 0, -0.249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2922, 2914, 2906, 2898, 2890?\n\"Answer: -8*c + 2930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -38, -6, -2, 11, 1 in increasing order.\nAnswer: -38, -6, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0652 - 11.9452. What is x rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - 8) + 12 + -6 - 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -69712 divided by -30\nAnswer: 34856\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 0.5 (c) -0.5 (d) -0.3 (e) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + t + 0*t - 2*t + 4*t - t + (-t + 1 - 1)*(-3 + 1 + 0) to the form h + x*t and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -13477645?\nAnswer: -13477645.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 28*b - 6. Determine g(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 2\/11 (b) 62 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 6 - 9. Let d be ((-2)\/2)\/(r\/12). Suppose -d*g = 4*i - 2*i - 4802, -g + 1201 = i. What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 38076116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422975951?\nAnswer: 1303, 324617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -14. Solve -2*i - 5*j = -0*j + 18, 2*i + 3*j = -s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 9, 0.1, -47.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 23*r + 22*r - 6*r + 4*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**2. Let m(j) = -25*j**2 + 6. Let l(s) = 377*s**2 - 91. Let y = -440 + 531. Let n(p) = y*m(p) + 6*l(p). Determine t(n(d)).\nAnswer: -676*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/3 - 17*u**3\/3 - 56*u**2\/3 - 52*u\/3 = 0 for u.\nAnswer: -13, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59464?\nAnswer: 2, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - (2 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f - 4. What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (-2 - -5 - -3). Suppose p = -5*k + 10. Solve 0 = -k*r - 6, 3*q + 0*r = r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-20\/7)*h*h**20*(h**(-3))**(1\/3) assuming h is positive.\nAnswer: h**(120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*l**3 + 4*l - 5*l - 7*l - 4*l + 7*l.\nAnswer: -253*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 10*g + 10. What is f(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7674 is divided by 815?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b*b*b**(2\/25))\/b*b)*b)\/b*b\/(b**(3\/11)\/b*b) assuming b is positive.\nAnswer: b**(-647\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 3:54 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3043 - -54?\nAnswer: 3117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, -3 in ascending order.\nAnswer: -3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1654 - -1608) + (10 - (0 + 3))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*x + 323*x - 32 = -102 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*d = -90*d + 1464 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - -5*(sqrt(1573) + 0) - -4*(-1 + sqrt(1573))) + (-1 + sqrt(1573))*-5 + 5)*-6)**2.\nAnswer: 23760*sqrt(13) + 1416996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3068*y**2 - 1817 with respect to y.\nAnswer: -6136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b**2 - 1)*(8*b - 3*b**2 - 8*b) - 2*b**2 - 33519*b**4 + 32449*b**4 + 2*b**2.\nAnswer: -1076*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - 6*s + 5. Let l be g(6). Suppose -n + 4*m - 3 = m, 2*n - 5*m = -5. Which is the closest to n? (a) 0.4 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 26*v + 1071. What is p(-47)?\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4423724?\nAnswer: 2, 113, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5806.46 - -5757. Let w = j - -49. What is w rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -436 <= -434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35643, 33777, 31911, 30045, 28179?\nAnswer: 26313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m - 20 + 0*m**2 + 4\/3*m**3 - 1\/2*m**4. Factor j(p).\nAnswer: -2*p**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 327 - -208. Let -1 - 108*z + 4 + h*z**2 + 0 + 437*z**2 = 0. Calculate z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408609249709391703745.9999996 + -408609250028974012258. Let i = o - -319582307620. Let a = 892 + i. What is a rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:20 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 8, 5*l + 4*k - 565 = 9*k. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11959013344 + 11959013411.99999963. Let f = 0.029 + 67.971. Let g = z - f. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041 (base 5) in base 15?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150794 - -361604113\/2398. What is the common denominator of 73\/2398 and q?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 388488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/659725 and 71\/239900?\nAnswer: 2638900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*n - 18, 5*n = n - 3*u + 2. Solve -2*m + c - n = 3, 8 = -2*m + 2*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 + 8 + h**2 + 344 + 178.\nAnswer: h**2 + 848","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9043 - -15859. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10752, 21507, 32262, 43017, 53772, 64527?\n\"Answer: 10755*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*m + 1. Suppose 2*f + 5*a - 42 = 0, 5*f = 2*a - a + 78. Let c = -5 - -10. Solve -m*i = 4*k - 4, 2*i - f = c*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.5 - 12. Sort -0.4, a, -0.7 in ascending order.\nAnswer: -0.7, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45061, 3\/2, -1\/10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -762 - -535. Let t = r + 836. What is the remainder when t is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 5*f - 2*f)*(1 + 1 + 0) + 920*f + 587*f + 830*f as t + y*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 1\/5 (b) -4 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2 - b + 136. Calculate m(8).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 4*m - 88, -2*m + 5*m = d + 72 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/l**19)\/l*l**14)\/(l*l*l**(-2)*l*l)**(-1\/42))**(-34) assuming l is positive.\nAnswer: l**(2822\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 2279*c**2 - 18.\nAnswer: -2279*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 3\/5 (c) 0.4 (d) 0.8 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.167 and 0.1?\nAnswer: -1.6167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85386 and 504.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n + 35. Is 4 a factor of -2 + (5 - 1 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -15, -1, 4 in decreasing order.\nAnswer: 5, 4, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 30. Suppose -4*k - 5 + 17 = 0. Suppose 143 = 5*x + 2*g - k*g, 3*x - 72 = -4*g. Calculate the remainder when x is divided by t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(855\/144 - 6). Let j be 6511\/680 + ((-10)\/k - 1). Let n be -9*((1 - 2) + 0). Is j > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = -4*m + 3536. What is the remainder when m is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5, -m + 42 = -0*m - 2*i. Suppose 8*u - m = -0*u. Solve -p - z + 0*z + 2 = 0, -u*z + 29 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*t**3 + 3*t + 201*t**3 - 3*t - 4*t**3 + 14*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1640.516um to millimeters.\nAnswer: 1.640516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*w - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1466*s**3*y + 455139*s**3 - 745*s*y**2 - 2 wrt y.\nAnswer: 1466*s**3 - 1490*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -3*k + 19, -4 = -k - 30*p + 31*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x - 1057. Let b(o) = 28*o + 3170. Give -4*b(t) - 11*s(t).\nAnswer: -2*t - 1053","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 7*s - 5832 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/1 - (-1453 + 38). What is the highest common divisor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719, 740, 761?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -520 - -504. What are the prime factors of 5\/(351\/(-1239) - b\/56)?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 34, 7, 15 in ascending order.\nAnswer: -4, -2, 7, 15, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*sqrt(68)\/(sqrt(324)*2) + 3 + (sqrt(1377)*-1)**2 + 3)*3.\nAnswer: -5*sqrt(17)\/3 + 8298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*k = -20, p + k = -k + 1. Let n(s) = -16727*s + 3. Let y be n(-11). Suppose p*b - y = b. Round b to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 1455 = 7551. Suppose -m = -5*i + 148. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602*c = -607*c + 50. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976733.1ng to kilograms.\nAnswer: 0.0000009767331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -0.1, -1, -2, 2, -2.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzwztwtzwftf. What is prob of sequence tw?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = w + 43, 2*w - 65 = -5*m + w. Suppose 4*t = b - 55, 4*b = -4*t - 5 + 125. Calculate the remainder when b is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c - 91 = 449 + 30 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = -0*r - r, 0 = -2*k + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -37711, -75297, -112883?\n\"Answer: -37586*q - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.28 in 2\/5, -0.6, 0.5, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from cscssc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41572 = -2093*j - 2381 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4619254 + 4619254 - 14362*z.\nAnswer: -14362*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*x + 0 = -6, -4*x = -2*z - 4. Solve 2*b + z - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*i + 199 - 204 = 0, 4*i - 15 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 3*h**2 - 3*h. Let q(x) = -6*x**2 + x**2 - 3*x**2 + 7*x**2 - x. Give i(l) - 3*q(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*k**5 + 8739*k**4 - 261231*k**3 - 210276*k**2 + 59532*k = 0.\nAnswer: -451\/6, -1, 0, 2\/9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2. Let g(k) = -34*k**2 + 16*k - 611. Give g(x(p)).\nAnswer: -136*p**4 + 32*p**2 - 611","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**3 + b**2 + 3*b - 2. Suppose 2*g = -0*g + 4. Let y be j(g). Calculate the highest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 397 + -1587\/4. What is the nearest to -1\/4 in 2, 1, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46383.\nAnswer: 3, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + v**3 + v**2 - 5*v**2 - 2*v**4 + 4*v**2 - 3*v**2 in the form f*v**4 + o + h*v**2 + x*v + b*v**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/23 (c) -1\/4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y + 20. Give f(2).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.295 rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1609, 1511, 1413, 1315, 1217, 1119?\n\"Answer: -98*r + 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 947.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 6. Let s be b(3). Let a be -407 - (1 + s) - -1. Let d = a + 2504. What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2\/8 - 33*m\/8 + 15\/4 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*o + 5*x = -14, 2*o + 4*x = -12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 497*o**2 + 11*o - 9. What are the prime factors of y(1)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*f + 44, -24*v + 20*v - 3*f + 26 = -5 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 m, and 1 l when four letters picked without replacement from qqiqlilqlmiiq.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 29*i - 206. Let s(a) = a**2 + 6*a - 41. Let t(f) = 2*m(f) - 11*s(f). What is the tens digit of t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/6383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 - 1 = 0. Let m be h - 1 - (-4)\/8. Sort -2, m, -3 in ascending order.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52930 greater than or equal to 53002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 35 + 25 = 0. What is the least common multiple of 12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-75))\/(1\/(-693)*14)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 93*f**2\/4 - 615*f\/8 - 129\/2 = 0?\nAnswer: -43\/62, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1714679, 1714839, 1714999, 1715159?\n\"Answer: 160*r + 1714519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 4*j, j = -4*v + 3*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-7))\/x)\/x)**9 assuming x is positive.\nAnswer: x**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 14, 5, -1137 in descending order.\nAnswer: 14, 5, 0.4, -5, -1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2082012.\nAnswer: -1\/694004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93528359 = 103*c + 93520325 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12768 - -1.49232. Let m = -31 - -32.12. Let p = m - r. Put p, -1\/11, 2, 4 in descending order.\nAnswer: 4, 2, -1\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**9\/144 - 2*b**6\/45 + 8*b**3 + 4. Let t(q) be the third derivative of u(q). What is the third derivative of t(r) wrt r?\nAnswer: -1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.70418 + 43148611?\nAnswer: 43148859.70418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 - -3 - 0. Suppose 0 = h*c - 8, 0 = -2*y + 6*y + 4*c - 168. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-4)\/14)\/1)\/(7\/(-49)). What is the first derivative of -11 + 33 + 671*c**s - 3*c - 676*c**2 wrt c?\nAnswer: -10*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 10) in base 6?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 5. Let a be m(5). Suppose 20 = 4*k, a = 2*d + k - 3*k + 22. Does 8 divide (-45)\/3*d\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -2 - (6 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 12*w + 3024. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**4\/26 + 2*g**3\/13 - 2*g**2\/13 + 2. Factor i(v).\nAnswer: -2*v*(v - 2)*(v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11322 is divided by 5650?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -14*s**2 - 7*s - 9. Let h be u(-2). Let q = 123 + h. Let f(p) = 10*p - 131. Calculate the remainder when q is divided by f(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*f. Suppose 40*r - 105 = 33*r. Suppose 10*g - 6*g - y - r = 0, -y = -3*g + 11. Solve -d = -f*d - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1\/2*t**6 + 0*t**4 + 0*t**2 - 1 + 0*t + 0*t**5 - 8\/3*t**3. Find the third derivative of a(v) wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27393)\/(-828) + -28 + 1\/(-12)*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -8*v + 18. Let g(l) = -v*l - l + l + 2*l. Let q(u) = 70*u - 6. Let d(c) = -c - 2. Let o(n) = -3*d(n) + q(n). Determine o(g(i)).\nAnswer: -146*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 10*a + w = 6, -5*w = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 165 = 3*f, -110 = -0*f - 2*f - t. Suppose f = 2*i + q - 29, -2*q = 4. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/40*5\/45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/9)\/(304\/(-24))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5804, 3, -1, 5, -2 in increasing order.\nAnswer: -5804, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*r = 25*r + 8856. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20289\/950 - -33363989\/1615950. Let o be 1942\/486 + 44\/(-11). Let r = k + o. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 5) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/30*2455\/(-982).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/214 and 3 + (-4 - 125\/(-10))?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -100. Let r(x) = -x**2 + 9*x - 5. Determine r(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188417371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*q + 15, -3 = i - 2*q - 0. Suppose 17 + 25 = -i*d. Let z = d - -44. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1164603121 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*h + 452, -3*m + 11*h = 7*h - 370. Suppose 0 = -4*p - m + 126. Factor 0*y + 3\/2*y**p + 0 + 3\/4*y**3.\nAnswer: 3*y**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*x - 18. Let s(l) = -12*l + 28*l**3 - 29*l**3 - 15 + 17*l**2 - l**2 - 2*l**x + 0*l**2. Give s(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 3\/2, 2\/9, -5\/6, -75\/7?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 10 = -53. Let n(d) = -d**3 - 9*d**2 - 12*d + 16. Let t be n(m). Let -4\/7*u**3 + 0 + 8\/7*u**t + 0*u = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 5.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (10 + -13 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -239*z**3 - 3*z**2 + z - 7. Determine t(-2).\nAnswer: 1891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 4c?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -566, -562, -556?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 32*k**3 + 18*k**2 + k - 17. Determine s(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 10*p + 28. Let j(o) = -3*o**2 + 5*o - 14. Let d(u) = -7*j(u) - 4*v(u). Let b be d(5). Calculate the greatest common factor of 276 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 13 = -a, z = 3*a - 0*a - 45. Let x = a - 8. What is the least common multiple of x and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -18*b + 26*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21*-2*140\/(-30).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 + 173 + 227)*(2*v - 2*v**2 - 2*v) as u*v**2 + z + m*v and give u.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2869 - 2837. Let a be (4\/(-2))\/(1\/(-2)). What is the greatest common divisor of t and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2773\/(-118))\/(3406\/(-852) - -4). Is s != -10011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 300 + 8b27?\nAnswer: 9027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 27*i**2 + 18*i - 276. Let b be s(-28). Find the third derivative of 4*y**2 + 43*y - 171*y**b - 96*y**4 + 27*y**4 - 25*y**4 wrt y.\nAnswer: -6360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4174 + 4246. Is o at least as big as 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 6*t**2 + 8*t + 17. Is 16 a factor of b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 27. Let b be (-7)\/(t\/9) + -3. Let n(x) = -x - 1. Determine n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 9*b - 89. Calculate t(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -44 + 38*b - 6 + 10*b**2 - 57*b. Calculate the remainder when i(-3) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482ac (base 13) to base 15\nAnswer: 29300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6727*u*v**3 + 108*u*v**2 - 759*v**3 + 4970 with respect to u.\nAnswer: -6727*v**3 + 108*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3487821 less than 90038?\nAnswer: 90042.3487821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24128*k + 916872. Determine u(-38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103735 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p + 1. Let i(v) = -v - 1. Let q(r) = -4*i(r) + w(r). Let s(z) = -z + 1. Give -q(u) + 5*s(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523030 divided by -289?\nAnswer: -5270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3477.5 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.41 - 0.59. Let d = z - -28.8. Let r(x) = x**3 + 6*x**2 + 6*x + 4. Let j be r(-5). Which is the closest to j? (a) -5 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1216) + -2 - sqrt(76)\/(sqrt(4) + sqrt(16)\/sqrt(4))))**2 - (4*sqrt(38)\/sqrt(200) + -3).\nAnswer: 148*sqrt(19)\/5 + 4303\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 7*w + 3. Let f be r(7). What is the second derivative of 105*p + 15*p**f - 55*p - 97*p wrt p?\nAnswer: 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.415 - -1.39. Let p = 0.025 + g. Which is the smallest value? (a) -1\/2 (b) -4\/5 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 13*y - 16. What is a(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30.6 - 30.1. What is the third biggest value in 12, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*o - 0*a - a, -5*o + 5*a - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -14, 2\/6717, -2, 2\/15 in ascending order.\nAnswer: -14, -2, 2\/6717, 2\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.7672l to millilitres.\nAnswer: 300767.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqq. Give prob of sequence qy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 6*c**2 + 40*c - 71 + 10*c**2 + 88. Differentiate k(r) with respect to r.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -67. Suppose -6*h = 4*n - h + 8, w = 3*n - 5*h. Let u = 49 + -32. Solve n*v - 2 = -u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729 and 2280699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from efffeeeeee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 99 = -5*n. Suppose -1278 = n*p - 35*p. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 318716*y*z + 2*y - 3*z**2 + z + 330001 wrt z.\nAnswer: 318716*y - 6*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:41 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhmmqrmhhmmamrah. What is prob of sequence rq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9325500 by -15.\nAnswer: 621700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*i + 13, -i + 2 + 9 = 3*y. Let p = -11 - -16. Let l = -4.7 + p. Which is the third biggest value? (a) 1 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*z - 3*z - 4*y, 29 = -3*z + y. Let k = -2 - z. What is the tens digit of k\/2*(-230)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -227*z**4\/24 + 4*z**3\/3 + 6*z**2 - 5*z + 40. Let m(w) = -w**2. Calculate y(m(j)).\nAnswer: 227*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + o - 46 = 0, 7*v = 2*v - 3*o - 62. Let f = -7 - v. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = x + h + 4, -4 = -86611*x + 86610*x - 5*h for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*c**4*o + 6*c**4 - 3*c**3*o - 116*c**2*o - 5*o wrt c.\nAnswer: -696*c*o + 144*c - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-49)*(-5446)\/1556\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m. Let p(v) = -v**3 - 8*v**2 - v - 11. Let d be p(-8). Give n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o + 1. Suppose -5 = 4*g + a, -2*a - 4 = 5*g + 6. Suppose -5*x + 4 - 69 = g. Let s(j) = j**2 + 12*j - 14. Let d be s(x). Determine f(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-15) - 6)*(549\/(-189) + (-88)\/(-33)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -104, -125, -128, -107, -56?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8261 - -9178. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 48. Let o = -15 + z. Let a(x) = -x**3 - 4*x**2 + 5*x - 1. What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 274, 548, 824, 1102, 1382, 1664?\n\"Answer: y**2 + 271*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1362ca + 2?\nAnswer: -1362c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m + 30 = 40*m - 5*t, 2*m + 12 = -5*t for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 10 - 2. Suppose 5*s - 33 = g*u, 3*u = 3*s + 5*u - 11. Find the third derivative of 0*w**2 + 3*w**2 + 4*w**5 - 2*w**s - 3*w**5 wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 66, -4.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxfmmmxmyxrxxmmrm. What is prob of picking 1 m and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 80 = -5*p. Suppose -2*u + 6*u = 100. Let w = p - u. Solve 4*n = n - 5*r - w, 5*r + 15 = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1462 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 1, k: 2, b: 2, h: 2, z: 3}. Give prob of picking 1 k and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3787152 + 6*(-3)\/(-9). Let i = 812846 + z. What is i rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = 3*l - 15, 0 = -5*l + 2*z + 21. Suppose -2*o = -1 - l. Suppose o*d = 3*d - 6. Which is the third smallest value? (a) -3 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 180 = -3*x. Let y be x\/(-45) + 164\/36. Solve -5 = d + y*n + 4, -8 = 3*d - 4*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/25)\/(2*(-2)\/(-10)). Let x be (-17 + j)\/(22\/(-33)). Solve -x + 11 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 25169652.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1200 (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -202848883 rounded to the nearest one million?\nAnswer: -203000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = b. Let t(i) = i**3 + 2*i**2 + 2*i. Let a(l) = -4*l**3 - 9*l**2 - 9*l + 1. Let p(o) = b*a(o) - 9*t(o). Differentiate p(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 60675652.\nAnswer: -60675651.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 6*y - 5. Let j be i(-5). Suppose j = -5*s + 3 + 7. Let s*m**4 - m**4 + 3*m**5 + 0*m**5 + 2*m**4 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2244 and 1870?\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -661, -677, -707, -751, -809, -881?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(30\/(-25)) - 2\/(-6). Sort a, -7, 14, -4.\nAnswer: -7, -4, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 130. Let n = b + -15. Suppose 0 = 2*u - n - 5. Which is greater: 7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43102*w**3*z**3 - 19704*w**3 - 2*w**2*z**2 - z**3 wrt z?\nAnswer: 258612*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 478155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 6324515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 9. Let a be i(3). Calculate the remainder when 46 is divided by 16 - a\/(-6)*0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 5*d**9\/504 + d**7\/42 + 2*d**5\/15 + 2*d**2 + 20. Find the third derivative of q(h) wrt h.\nAnswer: 600*h**3 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 2 - 2 + (3 - 4 + 3)*(-5*p + 0*p + 4*p) + 15682 - 15682 + 388*p to the form o*p + u and give o.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 503 and 6?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 166\nAnswer: -5\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 4. Let b = -10 - -4. Let s be j(b). Let h(w) = 20 - s - 3*w**2 + w**2. Let u(r) = 4*r. Give u(h(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + s = g - 6, 2*s + 9 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6169 is divided by 88.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 588*p. Let t(v) = 187*v. Let r(h) = -5*i(h) + 16*t(h). Let d(x) = 8*x. What is d(r(g))?\nAnswer: 416*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.328 + -0.222. Let i = -8.45 + o. What is the second smallest value in -0.1, i, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513942 divided by 3594?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*x = 538*x + 39 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 670987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/1 - 120\/(-32))\/((-5)\/60). Put -2, t, -5 in decreasing order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*(-2*-2*(1 + sqrt(192)) + -3))**2.\nAnswer: -192*sqrt(3) + 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/2)\/x)\/x**18*x*x**(-16\/7)\/x*x*x**(-7\/4) assuming x is positive.\nAnswer: x**(-687\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 216. Suppose 0 = 4*v - t + 15. What is the highest common factor of v and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 3*n - 6. Let g(a) = a**2 + 6*a + 11. Determine -4*g(z) - 7*k(z).\nAnswer: 3*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/547?\nAnswer: 14\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 16. Let h be ((-1)\/(-2))\/((221\/(-17))\/(-26)) - -4. Give x(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45221 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371380 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1566\/5814 - 8\/136. Solve -6\/19*t**4 + 8\/19*t**3 + 2\/19*t**2 - g*t + 0 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6 - 6*h - 4*h**2 + 0 + 4*h. Let u(k) = -7*k**2 - 3*k - 13. Let b(q) = -3*u(q) + 5*v(q). Let r = 1569 - 1569. Determine b(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18068137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = y - 68, 6*b + 5*y = 3*b + 68. What is the greatest common divisor of 208 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.191469 or -1?\nAnswer: 0.191469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:46 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -113, 5 in ascending order.\nAnswer: -113, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2841000 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 - 2. Let t be b(5). Calculate the smallest common multiple of 4 - ((-1)\/1)\/1 and (12 - (-1 - 0)) + t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*z - 7*x = -163*z - 13, -z + 2*x - 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16918313 is divided by 8459123.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 499 = 4*b - u + 487, b + 2*u + 15 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 347357, 347359, 347361?\n\"Answer: 2*w + 347355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/12 + 4*j**3\/3 + 9*j**2\/2 - 3*j + 27. Let s(z) be the first derivative of r(z). Factor s(p).\nAnswer: -(p - 9)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 9149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 264000 divided by 33000\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2906450 to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-44 - (-8 - 1) - -10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1679199*p**4 + 87*p**3 - 3713493*p + 7 wrt p?\nAnswer: -20150388*p**2 + 522*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 0.13. Let w = 9 + -20. What is the third smallest value in w, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g - g + 2*g)*(2 + 1 + 1) - 23 - 29*g + 23 + (2 - 2 + 2*g)*(0 - 2 + 3) + (3 - g - 3)*(-2 - 2 + 3) to the form c*g + d and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*g**2*k**2*p - 3*g**2*k + 54*g**2*p + 4*g**2 - 26*g*k**2*p + 2*g*k**2 - k**2 wrt k?\nAnswer: 40*g**2*p - 52*g*p + 4*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2363 = -3*u + 2862, 2*g + 3470 = 2*u. What is the third derivative of u*z - 17*z**4 - 23*z**2 - 1739*z wrt z?\nAnswer: -408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 280 = 18*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439215 is divided by 533.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9\/s**(4\/3))**(-2\/131) assuming s is positive.\nAnswer: s**(-46\/393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, v: 9, u: 1, t: 1}. Give prob of sequence utv.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*i**3*w**5 - 4*i**3 - 40*i*w**5 - 2700*i*w**2 wrt w.\nAnswer: 7320*i**3*w**2 - 2400*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Let l = i - 3.000012. Round l to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 787*b + 785*b - 10 = 0, -2*t - 4*b = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 9, -5, 93 in decreasing order.\nAnswer: 93, 9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/33)\/(-1)*22\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2505255 + -24?\nAnswer: -2505312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:12 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + 9*f - 3. Suppose -t = 2*t + 15. Let x(v) be the first derivative of 2*v**2 - v + 4\/3*v**3 - 2. Give t*x(j) + 2*g(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 3*q + 0*q + (11 + 0 + 3)*(3*q - 4*q + 0*q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*0\/(-30)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357476?\nAnswer: 2, 7, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i + 52 = -2*l, -i - 130 = 5*l. Let y(h) = 2*h + 60. Calculate the lowest common multiple of 1 and y(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + s)*(2*s**4 + s**4 - 2*s**4) + 156*s**5 - 1783*s**3 - 2*s + 1783*s**3.\nAnswer: 157*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 10*d**2 - 6*d - 6. Let g be a(-10). Let k = g - 53. Let h be (0 + 24\/2)*8\/24. Solve h*x + k = -4*c - 3, 0 = -x + c - 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 7. Let a(y) = -y + 5. Let s(x) = -4*a(x) - 3*t(x). Calculate s(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4808, 4882, 5024, 5234, 5512?\nAnswer: 5858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1002 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331.506 milliseconds to microseconds.\nAnswer: 2331506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l**3 - l**2 + 21*l - 13. Suppose 4*x = -n + 5 - 19, -5*n = 3*x + 53. Is s(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10206 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -3\/2, -0.4, -1163, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14773 + 14764. Which is the biggest value? (a) -1\/2 (b) -15 (c) -4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34569825 divided by 267.\nAnswer: -129475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + 4620\/(-135) + 0. What are the prime factors of 1 - 1\/(-2*(-1)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (137 - 73 - 31)*(-8*u + 2*u - u) in the form w + h*u and give h.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j - 335 + 205 - 421 - 333 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 424 - 1?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6650876991 to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*b + 5*b + 195, -4*b = -3*z + 156. Let v = 76 + b. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12977952259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 21*j + 20. Let z(s) be the third derivative of -1\/9*s**4 + 1\/90*s**5 + 0 - 2*s**j + 1\/3*s**3 + 0*s. Suppose z(w) = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/3 - 19428*y - 64987590 = 0.\nAnswer: -25287, -3855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, 5, -460, 1 in descending order.\nAnswer: 5, 1, -193, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 669 (b) 4 (c) 0.1 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4*b - 11)*(2*b**2 - b**2 + 3*b**2).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580842, -580840, -580838, -580836?\nAnswer: -580834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(70) + sqrt(70) + 5*2*sqrt(70) - -2*(sqrt(70) - sqrt(70)*-1))\/(-5*sqrt(250) - (sqrt(90) + -2*sqrt(90) - sqrt(90))).\nAnswer: -16*sqrt(7)\/19 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023 (base 6) to base 4.\nAnswer: -12333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7431 (b) 0 (c) -4\/7 (d) 3\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:31 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/30853632 and 61\/41138176?\nAnswer: 123414528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.248884 micrograms in grams?\nAnswer: 0.000002248884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111001010111101011 (base 2) to base 15\nAnswer: -4995c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 6*r - 10*r**3 + 7*r + 0*r + 3*r**3.\nAnswer: -7*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 20 = -2*a. Let y = 1.7 + -109.7. Let j = -107.9 - y. Put j, a, -2\/7 in descending order.\nAnswer: a, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127 + 55. Calculate the common denominator of (-2)\/(-40)*(-2 + p) and -29\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 8:03 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 1416604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22914 and 28810?\nAnswer: 4926510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/12)\/(4\/18). Suppose -2*h - 2*a = 2, 3*h - b*h + 12 = -2*a. Let f be (2\/180)\/(h\/(-8)). Do f and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22876 by -14.\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2647*n - 2631*n + 187 + 229 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09960253 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -73. Is 64 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6808109 and 561.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = z - 2*h + 2, -11 = -5*z - h. Find the third derivative of 0*i**3 + 5*i**2 - 4*i**2 - z*i**3 wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 5*i**2 + 7*i - 16*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 11. Let p be i(-3). What is the highest common divisor of 7 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 - 6.264?\nAnswer: 1125.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 306*g**3 - 900*g**2 + 894*g - 297.\nAnswer: -3*(g - 99)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + g. Let c be q(-1). Solve 2*x - 5*i - 10 = -c*x, 0 = -2*x + 5*i + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - -3 - (0 + 2 + 1). Suppose a*v - 88 = -16. Suppose -8*u = -v - 6. Put u, 0, 2, 5 in decreasing order.\nAnswer: 5, u, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*c + 9, 2*z - 4*z - 5*c = 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 1\/12*c**4 + c**2 + 1\/6*c**3 + 0*c - 1. Let n(j) be the second derivative of m(j). Let o(d) = d. What is n(f) - 4*o(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 27\/(-15))\/(55 - 3864\/70)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -27 (b) -0.4 (c) -2\/7 (d) -2 (e) -0.0109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*q**3 + 89*q**3 + 99*q**3 + 89*q**3 + 89*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from lwuluwgswbbluwwww?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/(-4)*1\/(6\/(-500))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.6 (c) 1\/9 (d) 1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4628781 - 2687093. Suppose -4698312 = 4*g + u. What is g rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12221 (base 4) in base 13?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 144 + 468 = 0. What is the greatest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 6*c**2 - 37*c**2 + 3*c**2)*(0 - 1 + 3).\nAnswer: -6*c**3 - 56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 32 = -4*j. Factor -j*h**2 - 6*h**3 - 10*h - 4 + 2*h**3 + 2*h**3.\nAnswer: -2*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/3 - 3388*k**4\/9 - 489424*k**3\/9 - 1048660*k**2\/3 - 500154*k + 207576 = 0 for k.\nAnswer: -279, -4, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/32 and -41\/52472?\nAnswer: 209888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 5*y**2 + y + 9. Let r be j(-5). Suppose 2*x + x - i = 8705, 0 = -2*i - r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*b**2*z**2 + 745*b**2 - 2*b*z + 86*z**2 + 44*z with respect to b.\nAnswer: -64*b*z**2 + 1490*b - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 24*v**7\/7 - 11*v**3\/3 + 20. Find the third derivative of x(o) wrt o.\nAnswer: 2880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.6100789 nanoseconds to hours.\nAnswer: 0.00000000000155835525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*6\/(-36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 c when four letters picked without replacement from cncncc?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11986786 is divided by 157.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8895?\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7646589.281 rounded to the nearest 10000?\nAnswer: -7650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-39)\/520*(-12)\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + 5 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 8*q**2 + 7*q - 1. Suppose 0 = -11*a - 25 + 102. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.523*-567\nAnswer: 296.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279545058*o*r**3 + 2*o*r + 455*o - 27687*r**2 wrt r.\nAnswer: 1677270348*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 + 5 = x, -4*m + 12 = 0. Let u = -22 + 12. Let b be 1 + (-8)\/u + -1. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/10 + h**2. Let w(f) = 4*f. Let o(l) = -l. Let i(r) = 5*o(r) + w(r). What is j(i(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*r = 5*w + 651*r - 25, -2*w = -5*r - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 + 166. Solve -2*a - p = 10, -a + 3*p - 7 + 2 = c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 335 + -338. Let p = -117 - -116.99. Put -1\/4, p, l in ascending order.\nAnswer: l, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.999991 + -23. What is w rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-16)*3\/(-15)*(-208)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418\/10075*(2\/(-6) + 2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (9 - (11 + -9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212935 is divided by 23658?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-4*p**5 - p**5 - 2*p**5) + (2*p**4 - p + p)*(-91*p + 38*p + 47*p).\nAnswer: -19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j. Suppose -2 = -2*d + d + 2*w, 8 = 4*d + 5*w. Let a(i) = 13*i**d + 5*i**2 - 15*i**2. Give a(h(u)).\nAnswer: 1323*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - 1. Let d(j) = 48 - 13*j + 49 - 158 + 4*j + 66. Let l(u) = -5*u + 3. Determine w*l(h) + 4*d(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.966l in millilitres?\nAnswer: 517966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0.24, 19\/138?\nAnswer: 19\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67*d**2*j**2 - d*j**2 - 5*d*j + 11*d wrt d?\nAnswer: -134*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 30. Suppose 0 = -x + y + 5, 5*x + 5*y - o + 0 = 0. Calculate the least common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**5 + 48*u**4 - 192*u**3 + 320*u**2 - 192*u = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -4\/3, -0.05 in descending order.\nAnswer: -0.05, -4\/3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**3 - 6*m**2 - 6*m - 5. Let c be y(-2). Let x = c + 193\/2. What is the nearest to -1 in 1.2, x, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/30 and (-34)\/4 - 8\/24?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 22*i - 5. Let b be u(7). Suppose -165 = -b*s - n, 0*n = 4*s + n - 331. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -0.3 (b) 2 (c) 3\/20 (d) 11 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490471 - 490471 - 5*z - 4*z - 4*z - 2*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 216. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 3)*(0 - 2*q + 2 - 3)*(4*q**2 + 4*q**2 - 4*q**2).\nAnswer: 56*q**3 + 28*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - 18. Let k = w + 8. Let t(m) be the second derivative of -5*m**3\/6 - 3*m**2 - 2*m. Let z(l) = 4*l + 5. What is k*z(d) + 3*t(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152066 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6)*-2*(-3)\/50*2\/(-11)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3385 is divided by 68.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -4*j**2 - 7*j - 8. Let r(a) be the second derivative of 7\/6*a**3 - 2*a + 0 + 3*a**2. What is 5*i(t) + 6*r(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133405 divided by -161915?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (1 + sqrt(128))**2) + -2*sqrt(2) + -1.\nAnswer: -130 - 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -21, -2 in decreasing order.\nAnswer: 5, 4, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.3 - 0.3. Put -4\/3, c, 0.1 in descending order.\nAnswer: c, 0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 3, 7, -4, 739 in decreasing order.\nAnswer: 739, 7, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 154 = -150. What is the second biggest value in l, 1, -3, 4, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -120, 4, 0.2, 6184, -1\/3 in descending order.\nAnswer: 6184, 4, 3\/8, 0.2, -1\/3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 18 = 5*p. Suppose 0*c = -3*c + 4*b + 686, -3*c = -p*b - 681. Is c a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)**(2\/15)*p**11*p*p*p*p\/p**4)**(-14\/3) assuming p is positive.\nAnswer: p**(-742\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}